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California State University, San Bernardino

Home > College of Natural Sciences > Mathematics > Mathematics Theses, Projects, and Dissertations

Mathematics Theses, Projects, and Dissertations

Theses/projects/dissertations from 2024 2024.

On Cheeger Constants of Knots , Robert Lattimer

Information Based Approach for Detecting Change Points in Inverse Gaussian Model with Applications , Alexis Anne Wallace

Theses/Projects/Dissertations from 2023 2023

DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS , Hytham Abdelkarim

An Exposition of the Curvature of Warped Product Manifolds , Angelina Bisson

Jackknife Empirical Likelihood Tests for Equality of Generalized Lorenz Curves , Anton Butenko

MATHEMATICS BEHIND MACHINE LEARNING , Rim Hammoud

Statistical Analysis of Health Habits for Incoming College Students , Wendy Isamara Lizarraga Noriega

Reverse Mathematics of Ramsey's Theorem , Nikolay Maslov

Distance Correlation Based Feature Selection in Random Forest , Jose Munoz-Lopez

Constructing Hyperbolic Polygons in the Poincaré Disk , Akram Zakaria Samweil

KNOT EQUIVALENCE , Jacob Trubey

Theses/Projects/Dissertations from 2022 2022

SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS , Diddier Andrade

The Examination of the Arithmetic Surface (3, 5) Over Q , Rachel J. Arguelles

Error Terms for the Trapezoid, Midpoint, and Simpson's Rules , Jessica E. Coen

de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence , Stacey Elizabeth Cox

Symmetric Generation , Ana Gonzalez

SYMMETRIC PRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Samar Mikhail Kasouha

Simple Groups and Related Topics , Simrandeep Kaur

Homomorphic Images and Related Topics , Alejandro Martinez

LATTICE REDUCTION ALGORITHMS , Juan Ortega

THE DECOMPOSITION OF THE SPACE OF ALGEBRAIC CURVATURE TENSORS , Katelyn Sage Risinger

Verifying Sudoku Puzzles , Chelsea Schweer

AN EXPOSITION OF ELLIPTIC CURVE CRYPTOGRAPHY , Travis Severns

Theses/Projects/Dissertations from 2021 2021

Non-Abelian Finite Simple Groups as Homomorphic Images , Sandra Bahena

Matroids Determinable by Two Partial Representations , Aurora Calderon Dojaquez

SYMMETRIC REPRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Connie Corona

Symmetric Presentation of Finite Groups, and Related Topics , Marina Michelle Duchesne

MEASURE AND INTEGRATION , JeongHwan Lee

A Study in Applications of Continued Fractions , Karen Lynn Parrish

Partial Representations for Ternary Matroids , Ebony Perez

Theses/Projects/Dissertations from 2020 2020

Sum of Cubes of the First n Integers , Obiamaka L. Agu

Permutation and Monomial Progenitors , Crystal Diaz

Tile Based Self-Assembly of the Rook's Graph , Ernesto Gonzalez

Research In Short Term Actuarial Modeling , Elijah Howells

Hyperbolic Triangle Groups , Sergey Katykhin

Exploring Matroid Minors , Jonathan Lara Tejeda

DNA COMPLEXES OF ONE BOND-EDGE TYPE , Andrew Tyler Lavengood-Ryan

Modeling the Spread of Measles , Alexandria Le Beau

Symmetric Presentations and Related Topics , Mayra McGrath

Minimal Surfaces and The Weierstrass-Enneper Representation , Evan Snyder

ASSESSING STUDENT UNDERSTANDING WHILE SOLVING LINEAR EQUATIONS USING FLOWCHARTS AND ALGEBRAIC METHODS , Edima Umanah

Excluded minors for nearly-paving matroids , Vanessa Natalie Vega

Theses/Projects/Dissertations from 2019 2019

Fuchsian Groups , Bob Anaya

Tribonacci Convolution Triangle , Rosa Davila

VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS , Brian Matthew Friday

Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle , Lacey Taylor James

Geodesics on Generalized Plane Wave Manifolds , Moises Pena

Algebraic Methods for Proving Geometric Theorems , Lynn Redman

Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle , Antonio Saucedo Jr.

THE EFFECTIVENESS OF DYNAMIC MATHEMATICAL SOFTWARE IN THE INSTRUCTION OF THE UNIT CIRCLE , Edward Simons

CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM , Ty Stockham

Theses/Projects/Dissertations from 2018 2018

PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS , Diana Aguirre

Monomial Progenitors and Related Topics , Madai Obaid Alnominy

Progenitors Involving Simple Groups , Nicholas R. Andujo

Simple Groups, Progenitors, and Related Topics , Angelica Baccari

Exploring Flag Matroids and Duality , Zachary Garcia

Images of Permutation and Monomial Progenitors , Shirley Marina Juan

MODERN CRYPTOGRAPHY , Samuel Lopez

Progenitors, Symmetric Presentations, and Related Topics , Joana Viridiana Luna

Symmetric Presentations, Representations, and Related Topics , Adam Manriquez

Toroidal Embeddings and Desingularization , LEON NGUYEN

THE STRUGGLE WITH INVERSE FUNCTIONS DOING AND UNDOING PROCESS , Jesus Nolasco

Tutte-Equivalent Matroids , Maria Margarita Rocha

Symmetric Presentations and Double Coset Enumeration , Charles Seager

MANUAL SYMMETRIC GENERATION , Joel Webster

Theses/Projects/Dissertations from 2017 2017

Investigation of Finite Groups Through Progenitors , Charles Baccari

CONSTRUCTION OF HOMOMORPHIC IMAGES , Erica Fernandez

Making Models with Bayes , Pilar Olid

An Introduction to Lie Algebra , Amanda Renee Talley

SIMPLE AND SEMI-SIMPLE ARTINIAN RINGS , Ulyses Velasco

CONSTRUCTION OF FINITE GROUP , Michelle SoYeong Yeo

Theses/Projects/Dissertations from 2016 2016

Upset Paths and 2-Majority Tournaments , Rana Ali Alshaikh

Regular Round Matroids , Svetlana Borissova

GEODESICS IN LORENTZIAN MANIFOLDS , Amir A. Botros

REALIZING TOURNAMENTS AS MODELS FOR K-MAJORITY VOTING , Gina Marie Cheney

Solving Absolute Value Equations and Inequalities on a Number Line , Melinda A. Curtis

BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS , Lucille J. Durfee

ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS , Genelle Elizabeth Gonzalez

LIFE EXPECTANCY , Ali R. Hassanzadah

PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS , Sean M. Hearon

A Dual Fano, and Dual Non-Fano Matroidal Network , Stephen Lee Johnson

Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity , Nitish Mittal

The Kauffman Bracket and Genus of Alternating Links , Bryan M. Nguyen

Probabilistic Methods In Information Theory , Erik W. Pachas

THINKING POKER THROUGH GAME THEORY , Damian Palafox

Indicators of Future Mathematics Proficiency: Literature Review & Synthesis , Claudia Preciado

Ádám's Conjecture and Arc Reversal Problems , Claudio D. Salas

AN INTRODUCTION TO BOOLEAN ALGEBRAS , Amy Schardijn

The Evolution of Cryptology , Gwendolyn Rae Souza

Theses/Projects/Dissertations from 2015 2015

SYMMETRIC PRESENTATIONS AND RELATED TOPICS , Mashael U. Alharbi

Homomorphic Images And Related Topics , Kevin J. Baccari

Geometric Constructions from an Algebraic Perspective , Betzabe Bojorquez

Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity , Tamara V. Bonn

Symmetric Presentations and Generation , Dustin J. Grindstaff

HILBERT SPACES AND FOURIER SERIES , Terri Joan Harris Mrs.

SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS , Leonard B. Lamp

Simple Groups and Related Topics , Manal Abdulkarim Marouf Ms.

Elliptic Curves , Trinity Mecklenburg

A Fundamental Unit of O_K , Susana L. Munoz

CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES , Jessica Luna Ramirez

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Home > Mathematics > Dissertations, Theses, and Student Research

Mathematics, Department of

Department of mathematics: dissertations, theses, and student research.

Game-Theoretic Approaches to Optimal Resource Allocation and Defense Strategies in Herbaceous Plants , Molly R. Creagar

Prefix-Rewriting: The Falsification by Fellow Traveler Property and Practical Computation , Ash DeClerk

Positioning Undergraduate Learning Assistants in Instruction: A Case Study of the LA Role in Active Learning Mathematics Classrooms at the University of Nebraska-Lincoln , Rachel Funk

Classroom Social Support: A Multiple Phenomenological Case Study of Mathematics Graduate Teaching Assistants’ Decision Making in the Classroom , Brittany Johnson

On the Superabundance of Singular Varieties in Positive Characteristic , Jake Kettinger

On Dyadic Parity Check Codes and Their Generalizations , Meraiah Martinez

Intrinsic Tame Filling Functions and Other Refinements of Diameter Functions , Andrew Quaisley

Partitions of R^n with Maximal Seclusion and their Applications to Reproducible Computation , Jason Vander Woude

Gordian Distance and Complete Alexander Neighbors , Ana Wright

Unexpectedness Stratified by Codimension , Frank Zimmitti

Extremal Problems in Graph Saturation and Covering , Adam Volk

Free Semigroupoid Algebras from Categories of Paths , Juliana Bukoski

Frobenius and Homological Dimensions of Complexes , Taran Funk

N-Fold Matrix Factorizations , Eric Hopkins

Free Complexes over the Exterior Algebra with Small Homology , Erica Hopkins

Gauge-Invariant Uniqueness and Reductions of Ordered Groups , Robert Huben

Results on Nonorientable Surfaces for Knots and 2-knots , Vincent Longo

A Combinatorial Formula for Kazhdan-Lusztig Polynomials of Sparse Paving Matroids , George Nasr

Bootstrap Percolation on Random Geometric Graphs , Alyssa Whittemore

Hadamard Well-Posedness for two Nonlinear Structure Acoustic Models , Andrew Becklin

Optimal Allocation of Two Resources in Annual Plants , David McMorris

Spectral Properties of a Non-Compact Operator in Ecology , Matthew Reichenbach

Exploring Pedagogical Empathy of Mathematics Graduate Student Instructors , Karina Uhing

Trisections of Flat Surface Bundles over Surfaces , Marla Williams

Operator algebras generated by left invertibles , Derek DeSantis

Admissibility of C*-Covers and Crossed Products of Operator Algebras , Mitchell A. Hamidi

Unbounded Derivations of C*-algebras and the Heisenberg Commutation Relation , Lara M. Ismert

Individual Based Model to Simulate the Evolution of Insecticide Resistance , William B. Jamieson

The Derived Category of a Locally Complete Intersection Ring , Joshua Pollitz

Sequential Differences in Nabla Fractional Calculus , Ariel Setniker

The T 3 , T 4 -conjecture for links , Katie Tucker

Design and Analysis of Graph-based Codes Using Algebraic Lifts and Decoding Networks , Allison Beemer

Graphs with few spanning substructures , Jessica De Silva

Fractional Difference Operators and Related Boundary Value Problems , Scott C. Gensler

Green's Functions and Lyapunov Inequalities for Nabla Caputo Boundary Value Problems , Areeba Ikram

On the well-posedness and global boundary controllability of a nonlinear beam model , Jessie Jamieson

Resolutions of Finite Length Modules over Complete Intersections , Seth Lindokken

On Coding for Partial Erasure Channels , Carolyn Mayer

High Cognitive Demand Examples in Precalculus: Examining the Work and Knowledge Entailed in Enactment , Erica R. Miller

A Tensor's Torsion , Neil Steinburg

Properties and Convergence of State-based Laplacians , Kelsey Wells

The Existence of Solutions for a Nonlinear, Fractional Self-Adjoint Difference Equation , Kevin Ahrendt

Ideal Containments under Flat Extensions and Interpolation on Linear Systems in P 2 , Solomon Akesseh

Stable Cohomology Of Local Rings And Castelnuovo-Mumford Regularity Of Graded Modules , Luigi Ferraro

Languages, geodesics, and HNN extensions , Maranda Franke

Antichains and Diameters of Set Systems , Brent McKain

Rigidity of the Frobenius, Matlis Reflexivity, and Minimal Flat Resolutions , Douglas J. Dailey

Management of Invasive Species using Optimal Control Theory , Christina J. Edholm

Cohen-Macaulay Dimension for Coherent Rings , Rebecca Egg

Adian inverse semigroups , Muhammad Inam

Homological characterizations of quasi-complete intersections , Jason M. Lutz

Bridge spectra of cables of 2-bridge knots , Nicholas John Owad

Applications of Discrete Mathematics for Understanding Dynamics of Synapses and Networks in Neuroscience , Caitlyn Parmelee

A Caputo Boundary Value Problem in Nabla Fractional Calculus , Julia St. Goar

Stable local cohomology and cosupport , Peder Thompson

Graph centers, hypergraph degree sequences, and induced-saturation , Sarah Lynne Behrens

Knörrer Periodicity and Bott Periodicity , Michael K. Brown

The Strict Higher Grothendieck Integral , Scott W. Dyer

Invariant Basis Number and Basis Types for C*-Algebras , Philip M. Gipson

Bioinformatic Game Theory and Its Application to Cluster Multi-domain Proteins , Brittney Keel

Extremal Results for the Number of Matchings and Independent Sets , Lauren Keough

Crosscap Number: Handcuff Graphs and Unknotting Number , Anne Kerian

Tame Filling Functions and Closure Properties , Anisah Nu'Man

Analysis of Neuronal Sequences Using Pairwise Biases , Zachary Roth

Systems of parameters and the Cohen-Macaulay property , Katharine Shultis

Local and Nonlocal Models in Thin-Plate and Bridge Dynamics , Jeremy Trageser

Betti sequences over local rings and connected sums of Gorenstein rings , Zheng Yang

Boundary Value Problems of Nabla Fractional Difference Equations , Abigail M. Brackins

Results on edge-colored graphs and pancyclicity , James Carraher

An Applied Functional and Numerical Analysis of a 3-D Fluid-Structure Interactive PDE , Thomas J. Clark

Algebraic Properties of Ext-Modules over Complete Intersections , Jason Hardin

Combinatorial and Algebraic Coding Techniques for Flash Memory Storage , Kathryn A. Haymaker

Well-posedness and stability of a semilinear Mindlin-Timoshenko plate model , Pei Pei

The Neural Ring: Using Algebraic Geometry to Analyze Neural Codes , Nora Youngs

Development and Application of Difference and Fractional Calculus on Discrete Time Scales , Tanner J. Auch

BOUNDARY VALUE PROBLEMS FOR DISCRETE FRACTIONAL EQUATIONS , Pushp R. Awasthi

Embedding and Nonembedding Results for R. Thompson's Group V and Related Groups , Nathan Corwin

Periodic modules over Gorenstein local rings , Amanda Croll

Results on Containments and Resurgences, with a Focus on Ideals of Points in the Plane , Annika Denkert

REGULARITY FOR SOLUTIONS TO PARABOLIC SYSTEMS AND NONLOCAL MINIMIZATION PROBLEMS , Joe Geisbauer

Decompositions of Betti Diagrams , Courtney Gibbons

Symbolic Powers of Ideals in k [ P N ] , Michael Janssen

Closure and homological properties of (auto)stackable groups , Ashley Johnson

Random search models of foraging behavior: theory, simulation, and observation. , Ben C. Nolting

Geometric Study of the Category of Matrix Factorizations , Xuan Yu

BOUNDARY VALUE PROBLEMS FOR DISCRETE FRACTIONAL EQUATIONS , Khulud Alyousef

PRIME IDEALS IN TWO-DIMENSIONAL NOETHERIAN DOMAINS AND FIBER PRODUCTS AND CONNECTED SUMS , Ela Celikbas

Modeling and Mathematical Analysis of Plant Models in Ecology , Eric A. Eager

An Analysis of Nonlocal Boundary Value Problems of Fractional and Integer Order , Christopher Steven Goodrich

SYSTEMS OF NONLINEAR WAVE EQUATIONS WITH DAMPING AND SUPERCRITICAL SOURCES , Yanqiu Guo

Commutative Rings Graded by Abelian Groups , Brian P. Johnson

The Weak Discrepancy and Linear Extension Diameter of Grids and Other Posets , Katherine Victoria Johnson

Combinatorics Using Computational Methods , Derrick Stolee

On the Betti Number of Differential Modules , Justin DeVries

On Morrey Spaces in the Calculus of Variations , Kyle Fey

Formalizing Categorical and Algebraic Constructions in Operator Theory , William Benjamin Grilliette

The Theory of Discrete Fractional Calculus: Development and Application , Michael T. Holm

Covariant Representations of C*-dynamical systems Involving Compact Groups , Firuz Kamalov

Homology of Artinian Modules Over Commutative Noetherian Rings , Micah J. Leamer

Annihilators of Local Cohomology Modules , Laura Lynch

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On the zeros of partition functions with multi-spin interactions

Computing the theta function, a quick estimate for the volume of a polyhedron (with m. rudelson), when a system of real quadratic equations has a solution (with m. rudelson), smoothed counting of 0-1 points in polyhedra, testing systems of real quadratic equations for approximate solutions, more on zeros and approximation of the ising partition function (with n. barvinok), a remark on approximating permanents of positive definite matrices, integrating products of quadratic forms, testing for dense subsets in a graph via the partition function (with a. della pella), approximating real-rooted and stable polynomials, with combinatorial applications, stability and complexity of mixed discriminants, computing permanents of complex diagonally dominant matrices and tensors, weighted counting of solutions to sparse systems of equations (with g. regts), approximating permanents and hafnians, concentration of the mixed discriminant of well-conditioned matrices, computing the partition function of a polynomial on the boolean cube, computing the partition function for graph homomorphisms with multiplicities (with p. soberon), computing the partition function for graph homomorphisms (with p. soberon), computing the partition function for cliques in a graph, computing the permanent of (some) complex matrices, on testing hamiltonicity of graphs, convexity of the image of a quadratic map via the relative entropy distance, thrifty approximations of convex bodies by polytopes, approximations of convex bodies by polytopes and by projections of spectrahedra, explicit constructions of centrally symmetric k -neighborly polytopes and large strictly antipodal sets (with s.j. lee and i. novik), a bound for the number of vertices of a polytope with applications, centrally symmetric polytopes with many faces (with s.j. lee and i. novik), neighborliness of the symmetric moment curve (with s.j. lee and i. novik), matrices with prescribed row and column sums, computing the partition function for perfect matchings in a hypergraph (with a. samorodnitsky), the number of graphs and a random graph with a given degree sequence (with j.a. hartigan), an asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums (with j.a. hartigan), maximum entropy gaussian approximation for the number of integer points and volumes of polytopes (with j.a. hartigan), what does a random contingency table look like, on the number of matrices and a random matrix with prescribed row and column sums and 0-1 entries, an approximation algorithm for counting contingency tables (with z. luria, a. samorodnitsky and a. yong), asymptotic estimates for the number of contingency tables, integer flows, and volumes of transportation polytopes, a centrally symmetric version of the cyclic polytope (with i. novik), the computational complexity of convex bodies (with e. veomett), brunn-minkowski inequalities for contingency tables and integer flows, the complexity of generating functions for integer points in polyhedra and beyond, enumerating contingency tables via random permanents, approximating orthogonal matrices by permutation matrices, computing the ehrhart quasi-polynomial of a rational simplex, integration and optimization of multivariate polynomials by restriction onto a random subspace, lattice points, polyhedra, and complexity, convex geometry of orbits (with g. blekherman), c++ codes for estimating permanents, hafnians and the number of forests in a graph, random weighting, asymptotic counting, and inverse isoperimetry (with a. samorodnitsky), short rational generating functions for lattice point problems (with k. woods), estimating l- infinity norms by l 2k norms for functions on orbits, approximating a norm by a polynomial, the distribution of values in the quadratic assignment problem (with t. stephen), the maximum traveling salesman problem (with e.kh. gimadi and a.i. serdyukov), new permanent estimators via non-commutative determinants, a c++ code to compute bounds for the permanent of a 0-1 matrix by the ``average distance'' approach, the distance approach to approximate combinatorial counting (with a. samorodnitsky), a remark on the rank of positive semidefinite matrices subject to affine constraints, polynomial time algorithms to approximate permanents and mixed discriminants within a simply exponential factor, finding maximum length tours under polyhedral norms (with d. johnson, g. woeginger, and r. woodroofe), an algorithmic theory of lattice points in polyhedra (with j. pommersheim).

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Mathematics PhD theses

A selection of Mathematics PhD thesis titles is listed below, some of which are available online:

2023   2022   2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Anne Sophie Rojahn –  Localised adaptive Particle Filters for large scale operational NWP model

Melanie Kobras –  Low order models of storm track variability

Ed Clark –  Vectorial Variational Problems in L∞ and Applications to Data Assimilation

Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes  

Chiara Cecilia Maiocchi –  Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems

Samuel R Harrison – Stalactite Inspired Thin Film Flow

Elena Saggioro – Causal network approaches for the study of sub-seasonal to seasonal variability and predictability

Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions  

Jennifer E. Israelsson –  The spatial statistical distribution for multiple rainfall intensities over Ghana

Giulia Carigi –  Ergodic properties and response theory for a stochastic two-layer model of geophysical fluid dynamics

André Macedo –  Local-global principles for norms

Tsz Yan Leung  –  Weather Predictability: Some Theoretical Considerations

Jehan Alswaihli –  Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations

Jemima M Tabeart –  On the treatment of correlated observation errors in data assimilation

Chris Davies –  Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems

Birzhan Ayanbayev –  Some Problems in Vectorial Calculus of Variations in L∞

Penpark Sirimark –  Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation

Adam Barker –  Path Properties of Levy Processes

Hasen Mekki Öztürk –  Spectra of Indefinite Linear Operator Pencils

Carlo Cafaro –  Information gain that convective-scale models bring to probabilistic weather forecasts

Nicola Thorn –  The boundedness and spectral properties of multiplicative Toeplitz operators

James Jackaman  – Finite element methods as geometric structure preserving algorithms

Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics

Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface

Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations

Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)

Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)

Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)

Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)

Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)

Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)

Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)

Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)

Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)

Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)

Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)

Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)

Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)

Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)

Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)

Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)

Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)

Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)

Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)

Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)

Mark Parsons - Mathematical Modelling of Evolving Networks

Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring

David Gilbert - Analysis of large-scale atmospheric flows

Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)

Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)

Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)

Cassandra A.J. Moran - Wave scattering by harbours and offshore structures

Ashley Twigger - Boundary element methods for high frequency scattering

David A. Smith - Spectral theory of ordinary and partial linear differential operators on finite intervals (PDF-1.05MB)

Stephen A. Haben - Conditioning and Preconditioning of the Minimisation Problem in Variational Data Assimilation (PDF-3.51MB)

Jing Cao - Molecular dynamics study of polymer melts (PDF-3.98MB)

Bonhi Bhattacharya - Mathematical Modelling of Low Density Lipoprotein Metabolism. Intracellular Cholesterol Regulation (PDF-4.06MB)

Tamsin E. Lee - Modelling time-dependent partial differential equations using a moving mesh approach based on conservation (PDF-2.17MB)

Polly J. Smith - Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF-3Mb)

Corinna Burkard - Three-dimensional Scattering Problems with applications to Optical Security Devices (PDF-1.85Mb)

Laura M. Stewart - Correlated observation errors in data assimilation (PDF-4.07MB)

R.D. Giddings - Mesh Movement via Optimal Transportation (PDF-29.1MbB)

G.M. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB)

C. Spencer - A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.

P. Jelfs - A C-property satisfying RKDG Scheme with Application to the Morphodynamic Equations (PDF-11.7MB)

L. Bennetts - Wave scattering by ice sheets of varying thickness

M. Preston - Boundary Integral Equations method for 3-D water waves

J. Percival - Displacement Assimilation for Ocean Models (PDF - 7.70MB)

D. Katz - The Application of PV-based Control Variable Transformations in Variational Data Assimilation (PDF- 1.75MB)

S. Pimentel - Estimation of the Diurnal Variability of sea surface temperatures using numerical modelling and the assimilation of satellite observations (PDF-5.9MB)

J.M. Morrell - A cell by cell anisotropic adaptive mesh Arbitrary Lagrangian Eulerian method for the numerical solution of the Euler equations (PDF-7.7MB)

L. Watkinson - Four dimensional variational data assimilation for Hamiltonian problems

M. Hunt - Unique extension of atomic functionals of JB*-Triples

D. Chilton - An alternative approach to the analysis of two-point boundary value problems for linear evolutionary PDEs and applications

T.H.A. Frame - Methods of targeting observations for the improvement of weather forecast skill

C. Hughes - On the topographical scattering and near-trapping of water waves

B.V. Wells - A moving mesh finite element method for the numerical solution of partial differential equations and systems

D.A. Bailey - A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows

M. Henderson - Extending the edge-colouring of graphs

K. Allen - The propagation of large scale sediment structures in closed channels

D. Cariolaro - The 1-Factorization problem and same related conjectures

A.C.P. Steptoe - Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples

D.E. Brown - Preconditioners for inhomogeneous anisotropic problems with spherical geometry in ocean modelling

S.J. Fletcher - High Order Balance Conditions using Hamiltonian Dynamics for Numerical Weather Prediction

C. Johnson - Information Content of Observations in Variational Data Assimilation

M.A. Wakefield - Bounds on Quantities of Physical Interest

M. Johnson - Some problems on graphs and designs

A.C. Lemos - Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts

R.K. Lashley - Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems

J.V. Morgan - Numerical Methods for Macroscopic Traffic Models

M.A. Wlasak - The Examination of Balanced and Unbalanced Flow using Potential Vorticity in Atmospheric Modelling

M. Martin - Data Assimilation in Ocean circulation models with systematic errors

K.W. Blake - Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations

J. Hudson - Numerical Techniques for Morphodynamic Modelling

A.S. Lawless - Development of linear models for data assimilation in numerical weather prediction .

C.J.Smith - The semi lagrangian method in atmospheric modelling

T.C. Johnson - Implicit Numerical Schemes for Transcritical Shallow Water Flow

M.J. Hoyle - Some Approximations to Water Wave Motion over Topography.

P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. Volume II. Some mathematical Proofs of Property u of the Weak End of Shocks.

M.J. Martin - Data Assimulation in Ocean Circulation with Systematic Errors

P. Sims - Interface Tracking using Lagrangian Eulerian Methods.

P. Macabe - The Mathematical Analysis of a Class of Singular Reaction-Diffusion Systems.

B. Sheppard - On Generalisations of the Stone-Weisstrass Theorem to Jordan Structures.

S. Leary - Least Squares Methods with Adjustable Nodes for Steady Hyperbolic PDEs.

I. Sciriha - On Some Aspects of Graph Spectra.

P.A. Burton - Convergence of flux limiter schemes for hyperbolic conservation laws with source terms.

J.F. Goodwin - Developing a practical approach to water wave scattering problems.

N.R.T. Biggs - Integral equation embedding methods in wave-diffraction methods.

L.P. Gibson - Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model.

A.K. Griffith - Data assimilation for numerical weather prediction using control theory. .

J. Bryans - Denotational semantic models for real-time LOTOS.

I. MacDonald - Analysis and computation of steady open channel flow .

A. Morton - Higher order Godunov IMPES compositional modelling of oil reservoirs.

S.M. Allen - Extended edge-colourings of graphs.

M.E. Hubbard - Multidimensional upwinding and grid adaptation for conservation laws.

C.J. Chikunji - On the classification of finite rings.

S.J.G. Bell - Numerical techniques for smooth transformation and regularisation of time-varying linear descriptor systems.

D.J. Staziker - Water wave scattering by undulating bed topography .

K.J. Neylon - Non-symmetric methods in the modelling of contaminant transport in porous media. .

D.M. Littleboy - Numerical techniques for eigenstructure assignment by output feedback in aircraft applications .

M.P. Dainton - Numerical methods for the solution of systems of uncertain differential equations with application in numerical modelling of oil recovery from underground reservoirs .

M.H. Mawson - The shallow-water semi-geostrophic equations on the sphere. .

S.M. Stringer - The use of robust observers in the simulation of gas supply networks .

S.L. Wakelin - Variational principles and the finite element method for channel flows. .

E.M. Dicks - Higher order Godunov black-oil simulations for compressible flow in porous media .

C.P. Reeves - Moving finite elements and overturning solutions .

A.J. Malcolm - Data dependent triangular grid generation. .

Mathematics at MIT is administratively divided into two categories: Pure Mathematics and Applied Mathematics. They comprise the following research areas:

Pure Mathematics

  • Algebra & Algebraic Geometry
  • Algebraic Topology
  • Analysis & PDEs
  • Mathematical Logic & Foundations
  • Number Theory
  • Probability & Statistics
  • Representation Theory

Applied Mathematics

In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications.

  • Combinatorics
  • Computational Biology
  • Physical Applied Mathematics
  • Computational Science & Numerical Analysis
  • Theoretical Computer Science
  • Mathematics of Data

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Applied Mathematics and Sciences: An International Journal (MathSJ) aims to publish original research papers and survey articles on all areas of pure mathematics, theoretical applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.

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The International Association of Scientific Innovation and Research (IASIR) has an international reputation for publishing innovative critical work in Science, Technology, Engineering and Mathematics. IASIR has played a major role in recent rethinking of the multidisciplinary research. It is committed to bring together scientists, researchers, students and academicians from all over the world who work professionally to upgrade status of human society by their ideas and research in the fields of science, technology, engineering and mathematics and globally invite them from all over the world from different domains in its realm of open access publication in the American International Journal of Research in Science, Technology, Engineering & Mathematics (AIJRSTEM). It will be the first contemporary journal dedicated specifically to the study of science, technology, engineering and mathematics and its ambition is to publish and provide the platform for research and knowledge dissemination among the scientists, researchers, academicians and students. This Journal always seeks to publish a balanced mix of high quality theoretical or empirical research articles, review papers, comparative studies, case studies and research proposals as well as reports of projects in progress. You are invited to submit a full paper for consideration. All accepted papers will be published online and in printed forms. All the accepted papers of the journal will be processed for indexing into different citation databases that track citation frequency/data for each paper.

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GRADUATE APTITUDE TEST IN ENGINEERING 2025

अभियांत्रिकी स्नातक अभिक्षमता परीक्षा २०२५, organising institute: indian institute of technology roorkee.

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GATE 2025 TEST PAPERS & SYLLABUS

GATE 2025 will be conducted for 30 test papers. The following table shows the list of papers with codes. Please click the Paper/Code to download the syllabus.

A candidate is allowed to appear either in ONE or UP TO TWO test papers. Please see the page Two-Paper Combination for more details.

GATE Test Paper Code GATE Test Paper Code

The test papers will be in English. Each GATE 2025 paper is for a total of 100 marks, General Aptitude (GA) is common for all papers (15 marks), and the rest of the paper covers the respective test paper syllabus (85 marks). Click here for detailed pattern of the question papers .

XE Paper Sections Code XH Paper Sections Code XL Paper Sections Code
Engineering Mathematics
(Compulsory)
(15 marks)
A Reasoning and Comprehension
(Compulsory)
(25 marks)
B1 Chemistry
(Compulsory)
(25 marks)
P
Any TWO optional Sections Any ONE optional Section Any TWO optional Sections
(2x35 = 70 marks) (60 marks) (2x30 = 60 marks)
Fluid Mechanics B Economics C1 Biochemistry Q
Materials Science C English C2 Botany R
Solid Mechanics D Linguistics C3 Microbiology S
Thermodynamics E Philosophy C4 Zoology T
Polymer Science and Engineering F Psychology C5 Food Technology U
Food Technology G Sociology C6
Atmospheric and Oceanic Sciences H

Multi-sessional papers: Candidate will be assigned to appear only in one of the sessions for the papers running in multiple sessions.

Computer Science and Information Technology (CS) and Civil Engineering (CE) will be conducted as multi-session papers in GATE 2025. More precisely, they will be two-session papers. This means that the candidates will be assigned to one of the sessions only — either the forenoon session or the afternoon session. The question papers will be different for each session. Test papers are held in multiple sessions when the candidate count is so high that they cannot all appear for the test in the same session. The scores of the candidates will be normalized according to the normalization formula given in Section 13.2 of the Information Brochure.

Candidates must familiarize themselves with the paper code as it is required both during application and examination.

Each candidate should fill ONLY ONE application. If they wish to appear in second paper (from the two-paper combination), they can add respective paper in their original application. In case of Multiple applications, only one will be accepted and remaining applications will be rejected without any refund for the paid fee.

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IISc Bengaluru

IIT-Bombay-small

IIT Guwahati

IIT-Kanpur-small

IIT Kharagpur

IIT-Madras-small

IIT Roorkee

UGC NET Syllabus 2024: Download Paper 1 & Paper 2 Syllabus PDF

Ugc net syllabus 2024 for paper 1 and 2 has been released by the university grants commission. prospective candidates should review the subject-wise ugc net syllabus and exam pattern in both hindi and english before commencing their preparation. additionally, you can find the direct link to download the ugc net syllabus 2024 pdf here..

Meenu Solanki

UGC NET Syllabus 2024 is prescribed by the University Grants Commission along with the notification. Aspirants planning to appear for the UGC NET exam, scheduled to be held on June 18,  must be conversant with the detailed syllabus. The exam is divided into two papers: Paper 1 and Paper 2. While Paper 1 is compulsory for all candidates, Paper 2 depends on the subject chosen by the candidates. There are a total of 83 UGC NET subjects from which the candidates have to choose.

UGC NET Syllabus 2024

The UGC NET exam is held twice a year to ascertain candidates' eligibility for Assistant Professor positions or both Junior Research Fellowship (JRF) and Assistant Professor roles in Indian universities and colleges. Lakhs of candidates appear for the exam; however, only a few are able to crack it. For the December 2023 session, 9.45 lakh candidates registered for the exam, but only 6.55 lakh candidates appeared for it.

UGC NET Syllabus 2024 for Paper 1

UGC NET Paper 1 Syllabus 2024 Subject-wise

Unit-i: teaching aptitude syllabus.

  • Teaching: Concept, Objectives, Levels of teaching (Memory, Understanding and Reflection), Characteristics and basic requirements.
  • Learner’s characteristics: Characteristics of adolescent and adult learners (Academic, Social, Emotional and Cognitive), Individual differences.
  • Factors affecting teaching related to Teacher, Learner, Support material, Instructional facilities, Learning environment and Institution.
  • Methods of teaching in Institutions of higher learning: Teacher centred vs. Learner-centred methods; offline vs. Online methods (Swayam, Swayamprabha, MOOCs etc.).
  • Teaching Support System: Traditional, Modern and ICT based.
  • Evaluation Systems: Elements and Types of evaluation, Evaluation in Choice Based Credit System in Higher education, Computer-based testing, Innovations in evaluation systems.

Unit-II: Research Aptitude Syllabus

  • Research: Meaning, Types, and Characteristics, Positivism and Postpositivistic approach to research.
  • Methods of Research: ExperimeUGCl, Descriptive, Historical, Qualitative and Quantitative Methods, Steps of Research.
  • Thesis and Article writing: Format and styles of referencing.
  • Application of ICT in research.
  • Research ethics.

Unit-III Comprehension Syllabus

Unit-iv: communication.

  • Communication: Meaning, types and characteristics of communication.
  • Effective communication: Verbal and Non-verbal, Inter-Cultural and group communications, Classroom communication.
  • Barriers to effective communication.
  • Mass-Media and Society.

Unit-V: Mathematical Reasoning and Aptitude Syllabus

  • Types of reasoning.
  • Number series, Letter series, Codes and Relationships.
  • Mathematical Aptitude (Fraction, Time & Distance, Ratio, Proportion and PerceUGCge, Profit and Loss, Interest and Discounting, Averages etc.).

Unit-VI: Logical Reasoning Syllabus

  • Understanding the structure of arguments: argument forms, the structure of categorical propositions, Mood and Figure, Formal and Informal fallacies, Uses of language, Connotations and denotations of terms, Classical square of opposition.
  • Evaluating and distinguishing deductive and inductive reasoning.
  • Venn diagram: Simple and multiple uses for establishing the validity of arguments.
  • Indian Logic: Means of knowledge.
  • Pramanas: Pratyaksha (Perception), Anumana (Inference), Upamana (Comparison), Shabda (Verbal testimony), Arthapatti (Implication) and Anupalabddhi (Non-apprehension).
  • Structure and kinds of Anumana (inference), Vyapti (invariable relation), Hetvabhasas (fallacies of inference).

UGC NET Exam Pattern

  • UGC NET Eligibility
  • UGC NET Preparation

Unit-VII: Data Interpretation Syllabus

  • Sources, acquisition and classification of Data.
  • Quantitative and Qualitative Data.
  • Graphical representation (Bar-chart, Histograms, Pie-chart, Table-chart and Line-chart) and mapping of Data.
  • Data Interpretation.
  • Data and Governance.
  • Unit-VIII: Information and Communication Technology (ICT) Syllabus
  • ICT: General abbreviations and terminology.
  • Basics of the Internet, Intranet, E-mail, Audio and Video-conferencing.
  • Digital initiatives in higher education.
  • ICT and Governance.

Unit-IX: People, Development and Environment Syllabus

  • Development and environment: Millennium development and Sustainable development goals.
  • Human and environment interaction: Anthropogenic activities and their impacts on the environment.
  • EnvironmeUGCl issues: Local, Regional and Global; Air pollution, Water pollution, Soil pollution, Noise pollution, Waste (solid, liquid, biomedical, hazardous, electronic), Climate change and its Socio-Economic and Political dimensions.
  • Impacts of pollutants on human health.
  • Natural and energy resources: Solar, Wind, Soil, Hydro, Geothermal, Biomass, Nuclear and Forests.
  • Natural hazards and disasters: Mitigation strategies.
  • EnvironmeUGCl Protection Act (1986), National Action Plan on Climate Change, International agreements/efforts -Montreal Protocol, Rio Summit, Convention on Biodiversity, Kyoto Protocol, Paris Agreement, International Solar Alliance.

Unit-X: Higher Education System Syllabus

  • Institutions of higher learning and education in ancient India.
  • Evolution of higher learning and research in Post Independence India.
  • OrieUGCl, Conventional and Non-conventional learning programmes in India.
  • Professional, Technical and Skill-Based education.
  • Value education and environmeUGCl education.
  • Policies, Governance, and Administration.

UGC NET Syllabus PDF Paper 1

Individuals preparing for exam can access the UGC NET Paper 1 syllabus PDF either on the official website or click on the direct link mentioned below. Downloading UGC NET Syllabus Paper 1 PDF 2024 will be highly beneficial while preparing for the exam. 

⇒   UGC NET Paper 1 Syllabus PDF in English

UGC NET Paper 2 Syllabus PDF

UGC NET Paper 2 includes 83 subjects. Candidates should choose the subject in which they have completed their master's degree. If their chosen subject is not listed, they should select a related subject. The UGC NET Syllabus PDF for Paper 2 is mentioned in the article below for your convenience.

UGC NET Paper 2 Syllabus 2024 Subject-wise

 
 

UGC NET Syllabus Political Science

Candidates who have completed their master's in Political Science and selected this subject for UGC NET Paper 2 must possess a comprehensive understanding of the syllabus.

  • Political Traditions
  • Conservatism
  • Multiculturalism
  • Postmodernism
  • Confucius, Plato, Aristotle, Machiavelli, Hobbes, Locke, Rousseau, Hegel, Mary Wollstonecraft, John Stuart Mill, Karl Marx, Gramsci, Hannah Arendt, Frantz
  • Fanon, Mao Zedong, John Rawls

UGC NET Syllabus Law

Candidates gearing up for the UGC NET Law examination should thoroughly review the syllabus to devise an effective study plan. The subject code for UGC NET Law is 58, encompassing a syllabus consisting of 10 units. Check out the UGC NET Law Syllabus below.

  • Nature and sources of law
  • Schools of jurisprudence
  • Law and morality
  • Concept of rights and duties
  • Legal personality
  • Concepts of property, ownership, and possession
  • Concept of liability
  • Law, poverty, and development
  • Global justice
  • Modernism and post-modernism
  • Preamble, fundameUGCl rights and duties, directive principles of state
  • Union and State executive and their interrelationship
  • Union and State legislature and distribution of legislative powers
  • Emergency provisions
  • Temporary, transitional and special provisions in respect of certain states
  • Election Commission of India
  • Nature, scope and importance of administrative law
  • Principle of natural justice
  • Judicial review of administrative actions 
  • International law – Definition, nature and basis
  • Sources of International law
  • Recognition of states and governments
  • Nationality, immigrants, refugees and internally displaced persons (IDPs)
  • Extradition and asylum
  • United Nations and its organs
  • Settlement of international disputes
  • World Trade Organization (WTO)
  • International humanitarian law (IHL) - Conventions and protocols
  • ImplemeUGCtion of IHL - Challenges
  • General principles of criminal liability – Actus reus and mens rea, individual and group liability and constructive liability
  • Stages of crime and inchoate crimes - Abetment, criminal conspiracy and attempt
  • General exceptions
  • Offences against human body
  • Offences against state and terrorism
  • Offences against property
  • Offences against women and children
  • Drug trafficking and counterfeiting
  • Offences against public tranquility
  • Theories and kinds of punishments, compensation to the victims of crime
  • Nature and definition of tort
  • General principles of tortious liability
  • General defenses
  • Specific torts – Negligence, nuisance, trespass and defamation
  • Remoteness of damages
  • Strict and absolute liability
  • Tortious liability of the State
  • The Consumer Protection Act 1986 - Definitions, consumer rights and redressal mechanism
  • The Motor Vehicles Act, 1988 - No fault liability, third party insurance and claims tribunal
  • The Competition Act, 2002 - Prohibition of certain agreements, abuse of dominant position and regulation of combinations
  • Essential elements of contract and e-contract
  • Breach of contract, frustration of contract, void and voidable agreements
  • Standard form of contract and quasi-contract
  • Specific contracts - Bailment, pledge, indemnity, guarantee and agency
  • Sale of Goods Act, 1930
  • Partnership and limited liability partnership
  • Negotiable Instruments Act, 1881
  • Company law – Incorporation of a company, prospectus, shares and debentures
  • Company law – Directors and meetings
  • Corporate social responsibility
  • Sources and schools
  • Marriage and dissolution of marriage
  • Matrimonial remedies - Divorce and theories of divorce
  • Changing dimensions of institution of marriage – Live-in relationship
  • Recognition of foreign decrees in India on marriage and divorce
  • Maintenance, dower and stridhan
  • Adoption, guardianship and acknowledgement
  • Succession and inheritance
  • Will, gift and wakf
  • Uniform Civil Code
  • Meaning and concept of ‘environment’ and ‘environmeUGCl pollution’
  • International environmeUGCl law and UN Conferences
  • Constitutional and legal framework for protection of environment in India
  • EnvironmeUGCl Impact Assessment and control of hazardous waste in India
  • National Green Tribunal
  • Concept and development of human rights
  • Universalism and cultural relativism
  • International Bill of Rights
  • Group rights – Women, children, persons with disabilities, elderly persons, minorities and weaker sections
  • Protection and enforcement of human rights in India – National Human Rights Commission, National Commission for Minorities, National Commission for Women, National Commission for Scheduled Castes, National Commission for Schedule Tribes and National Commission for Backward Classes
  • Concept and meaning of intellectual property
  • Theories of intellectual property
  • International conventions pertaining to intellectual properties
  • Copyright and neighboring rights – Subject matters, limitations and exceptions, infringement and remedies
  • Law of patent – PateUGCbility, procedure for grant of patent, limitations and exceptions, infringement and remedies
  • Law of trademark – Registration of trademarks, kinds of trademarks, infringement and passing off, remedies
  • Protection of Geographical Indications
  • Bio-diversity and Traditional Knowledge
  • Information technology law- digital signature and electronic signature, electronic governance, electronic records and duties of subscribers
  • Cyber crimes, penalties and adjudication
  • Comparative Law – Relevance, methodology, problems and concerns in Comparison
  • Forms of governments – Presidential and parliameUGCry, unitary and federal
  • Models of federalism – USA, Canada and India
  • Rule of Law – ‘Formal’ and ‘substantive’ versions
  • Separation of powers – India, UK, USA and France
  • Independence of judiciary, judicial activism and accouUGCbility – India, UK and USA
  • Systems of constitutional review – India, USA, Switzerland and France
  • Amendment of the Constitution – India, USA and South Africa
  • Ombudsman –Sweden, UK and India
  • Open Government and Right to Information - USA, UK and India

UGC NET English Literature

UGC NET Environmental Science Syllabus 2024

  • Unit-I: Fundamentals of Environmental Sciences
  • Unit-II: Environmental Chemistry
  • Unit-III: Environmental Biology
  • Unit-IV: Environmental Geosciences Unit-V: Energy and Environment
  • Unit-IV: Environmental Geosciences
  • Unit-V: Energy and Environment
  • Unit-VI: Environmental Pollution and Control Unit-VII: Solid and Hazardous Waste Management

UGC NET History Syllabus

Unit 1: Negotiating the Sources
Unit 2: From State to Empire
Unit 3: The Emergence of Regional Kingdoms
Unit 4: Source of Medieval Indian History
Unit 5: Administration & Economy
Unit 6: Society and Culture
The Sufis
Unit 7: Sources of Modern Indian History
Revolt of 1857
Unit 8: Colonial Economy
Unit 9: Rise of Indian Nationalism
Unit 10: Historical Method, Research, Methodology, and Historiography

Best Books for Covering UGC NET Syllabus

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  • How to download UGC NET Syllabus 2024 PDF for Paper 1 and Paper 2? + Candidates can download the UGC NET Syllabus PDF either from the official website or from the direct link provided here.
  • Who prescribes NTA UGC NET Syllabus? + The syllabus of UGC NET exam is prescribed by the National Testing Agency and University Grant Commission.
  • What is UGC NET Paper 1 Syllabus 2024? + The UGC NET Syllabus for Paper 1 comprises 10 units, namely, Teaching Aptitude, Research Aptitude, Communication, Mathematical Reasoning, Data Interpretation, Comprehension, Higher Education System, Logical Reasoning, and People, Development and Environment.
  • What is UGC NET Syllabus 2024? + UGC NET Syllabus is divided into two parts: Paper 1 and Paper 2. Paper 1 is common to all candidates, while paper 2 is subject specific. The UGC NET Syllabus includes topics like Teaching Aptitude, Research Aptitude, Communication, Mathematical Reasoning, Comprehension, Logical Reasoning, and Data Interpretation.
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Local Employment and Economic Development Programme (LEED)

We offer best practice on how to create more and better quality jobs through effective policy implementation and local initiatives.

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About the LEED Programme

The OECD Local Employment and Economic Development Programme (LEED) provides practical solutions for how to build vibrant communities with more and better jobs for all. It achieves this by supporting effective policy implementation and local initiatives.

LEED was created over forty years ago to support OECD governments at national, regional and local level with innovative approaches to local job creation, social inclusion and economic growth.

Our mission

LEED brings together policy makers and practitioners from around the world to identify, evaluate and disseminate promising approaches to local development. In the wake of the COVD-19 crisis, building back better lies in advancing innovative solutions to build resilient local labour markets, particularly to ensure a just twin green and digital transition.

aerial view of people walking

How it works

We bridge national policies and local communities by:

  • Providing strategies to better tailor national policies to different local realities.
  • Bringing together policies across all levels of government alongside actions from civil society and the private sector to support integrated local development.

We serve as a gateway for local communities to the OECD by:

  • Translating cutting-edge research into concrete guidance on “what works” at the local level.
  • Creating opportunities for local practitioners, social innovators, entrepreneurs and civic leaders to exchange with international experts and peers.
  • Bringing the local voice to broader OECD discussions and debates.

LEED’s work is steered by a committee of representatives from ministries of employment and labour, social affairs, economy, and regional development from OECD and non-OECD countries. Many local and regional governments also engage in projects with LEED. 

The Programme is housed in the OECD’s Centre for Entrepreneurship, SMEs, Regions and Cities . 

Our approach

Local development.

Local development is the process of building stronger, more vibrant communities, where economic opportunities flourish, and all residents can enjoy a high quality of life. It’s about job creation and competitiveness, but not only. Issues such as inclusion, social connectedness and civic pride are also at the heart of a modern approach to local development. 

Local employment and skills

A skilled workforce represents an important tool for local economies to attract new talent and investment. In fast-changing labour markets, local employment and skills policies need to better connect employers with the talent they seek and prepare all people for the future of work.  Involving a wide range of stakeholders through local partnerships contributes to helping local communities thrive while seeking to not leave anyone behind. 

Culture, create sectors and sports

Cultural and creative sectors are an often-overlooked driver of development. However, they generate economic wealth, create jobs, and spur innovation, as well as making places more attractive to live, work and invest in. Similarly, both professional and grassroots sport contributes to happier, healthier and more inclusive societies and can be used as a catalyst for development, for example through the hosting of major sporting events. 

Social economy and innovation

The social economy and social innovation are powerful tools for creating more inclusive, creative and sustainable societies and economies.

The social economy and social innovation help with things like reducing poverty, improving healthcare and education, providing housing, developing communities, conserving the environment, and making sure everyone has fair access to resources. Both work to solve social and environmental problems and make sure everyone benefits from changes in society. They make sure marginalized groups aren't forgotten and that everyone gets a fair share of the benefits.

The social economy and social innovation actively address socio-economic and environmental challenges and contribute to a just twin transition by aiming for marginalised groups to not be left behind and that the benefits of these transitions are shared equitably. This includes challenges related to poverty alleviation, healthcare, education, housing, and community development, as well as environmental conservation and promoting fair access to resources.

In recognition of its importance, the OECD Recommendation on the Social and Solidarity Economy and Social Innovation was issued in 2022 to further help countries, regions and cities make the most its potential.

Inclusive entrepreneurship

Unlocking entrepreneurial talent across the population contributes to inclusive and sustainable growth, labour market attachment and social and financial inclusion. Inclusive entrepreneurship policies aim to offer all people an equal opportunity of creating a successful business, regardless of their gender, age, place of birth or other personal characteristics. 

Programme output

OECD Local Development Forum 2024

Building bridges, shaping tomorrow

24 September - Malmö, Sweden | 25 September - Copenhagen, Denmark

In person only

Registration open!

OECD Local Skills Week 2024

Talent for the twin transitions

Is talent the new oil? While oil is finite and subject to depletion, talent is renewable and can be developed, attracted and retained

25-27 June 2024 Online event

Related publications

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Related events

research paper mathematics pdf

How to get involved

Contact us to receive tailored support and advice: Undertake a policy review to better capitalize on local economic, social and cultural assets.

Participate in our Forum and events.

Access our online resources around local employment and economic development.

IMAGES

  1. (PDF) Experimental Research about Effect of Mathematics Anxiety

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  2. 😊 Research papers on mathematics. Research Paper On Mathematics. 2019-01-19

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  3. International Mathematics Research Papers Template

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  4. (PDF) Research in Mathematics Education

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  5. (PDF) Abstract or Concrete Examples in Learning Mathematics? A

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  6. [PDF] Textbook Research as Scientific Research: Towards a Common Ground

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VIDEO

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COMMENTS

  1. 1164588 PDFs

    Mathematics, Pure and Applied Math | Explore the latest full-text research PDFs, articles, conference papers, preprints and more on MATHEMATICS. Find methods information, sources, references or ...

  2. Mathematics

    math.MP is an alias for math-ph. Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. Submissions to math-ph should be of interest to both ...

  3. (PDF) Papers of Mathematics or Applied mathematics

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  5. PDF Higher Algebra

    CONTENTS 3 2.2 Constructions of 1-Operads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192 2.2.1 Subcategories of O-Monoidal 1-Categories ...

  6. PDF Writing a Mathematics Research Paper

    Abstract (approximately four sentences) Introduction (approximately 1 page) The problem/situation (1-2 pages) Your idea/model (1-2 pages) The details (5+ pages) Future directions (approximately 0.5 page) Conclusions (approximately 0.5 page) The following sections briefly describe the content of each of the above categories.

  7. PDF Journal of Research and Advances in Mathematics Education

    Journal of Research and Advances in Mathematics Education Volume 5, Issue 2, June 2020, pp. 148 - 159 DOI: 10.23917/jramathedu.v5i2.10282 p-ISSN: 2503-3697, e-ISSN: 2541-2590 ... of the studies to be included in the paper specified that the study must include factors, such as teacher-related, student-related, and school-related as independent ...

  8. Department of Mathematics: Dissertations, Theses, and Student Research

    PDF. Extremal Problems in Graph Saturation and Covering, Adam Volk. 2021 PDF. Free Semigroupoid Algebras from Categories of Paths, Juliana Bukoski. PDF. Frobenius and Homological Dimensions of Complexes, Taran Funk. PDF. N-Fold Matrix Factorizations, Eric Hopkins. PDF. Free Complexes over the Exterior Algebra with Small Homology, Erica Hopkins. PDF

  9. Journal of Mathematics

    Journal of Mathematics. Journal of Mathematics is a broad scope journal that publishes original research and review articles on all aspects of both pure and applied mathematics.

  10. (PDF) TEACHING AND LEARNING MATHEMATICS RESEARCH SERIES I: Effective

    synthesis of mathematics education research from 2002-2013 explaining that multiple studies have reported manipulatives having little or negative effects on learning ( Rittle-Johnson & Jordan, 2016) .

  11. PDF INCREASING STUDENT LEARNING IN MATHEMATICS WITH THE USE OF ...

    The high school dropout. rate in 2006 was 6.3% while the chronic truancy rate was at 7.4%. The financial earnings of the teachers and administrators at this district average at. $62, 452 per year. The teachers in this district have been working for an average for 12.5. years.

  12. PDF Research trends in mathematics education: A quantitative content

    This research aims to uncover current trends and key issues by examining the research in mathematics education during the period 2017-2021. For this purpose, five major peer reviewed academic journals ... evaluation papers, white papers and similar types of studies were excluded. According to the specified criteria, 881 studies were included in ...

  13. Recent Papers

    Recent Papers. On the zeros of partition functions with multi-spin interactions. preprint. Computing the theta function. Theory of Computing, to appear. A quick estimate for the volume of a polyhedron. (with M. Rudelson) Israel Journal of Mathematics, to appear. When a system of real quadratic equations has a solution.

  14. Mathematics PhD theses

    A selection of Mathematics PhD thesis titles is listed below, some of which are available online: 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991. 2024. Anne Sophie Rojahn - Localised adaptive Particle Filters for large scale operational NWP model 2023. Melanie Kobras - Low ...

  15. PDF Writing Math Research Papers: A Guide for High School Students and

    Chapter 9: Components of Your Research Paper. Chapters 4, 5, and 6 introduce you to writing mathematics, and Chapters 6, 7, and 8 instruct you in how to conduct your research in a logical fashion. Chapter 9 helps you pull it all together for the formal paper. The parts of the research paper are discussed.

  16. PDF A Sample Research Paper/Thesis/Dissertation on Aspects of Elementary

    Theorem 1.2.1. A homogenous system of linear equations with more unknowns than equations always has infinitely many solutions. The definition of matrix multiplication requires that the number of columns of the first factor A be the same as the number of rows of the second factor B in order to form the product AB.

  17. (PDF) Research In Mathematics Education: Some Issues and Some Emerging

    In terms of mathematics learning the Campbell Collaboration "Organisational Framework for Preparing and Maintaining Systematic Reviews in Education" (see Davies, Wolf and Holmes, 2001) so far identifies some eight key papers in mathematics education research; the oldest being Hartley's meta-analysis of the effects of individually-paced ...

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  19. Research

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  20. (PDF) CFP

    Applied Mathematics and Sciences: An International Journal (MathSJ) aims to publish original research papers and survey articles on all areas of pure mathematics, theoretical applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology.

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    This paper studies hidden convexity properties associated with constrained optimization problems over the set of rotation matrices SO (n).Such problems are nonconvex because of the constraint X ∈ SO (n).Nonetheless, we show that certain linear images of SO (n) are convex, opening up the possibility for convex optimization algorithms with provable guarantees for these problems.

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    In non-Hermitian crystal systems under open boundary condition (OBC), it is generally believed that the OBC modes with frequencies containing positive imaginary parts, when excited by external driving, will experience exponential growth in population, thereby leading to instability. However, our work challenges this conventional understanding. In such a system, we find an anomalous response ...

  23. [PDF] Analyzing the Scientific Community Focused on Nursing Informatics

    It is shown that the nursing informatics community consists of one large connected subnet with many small disjoint subnets, each representing one or several authors, indicating an information flow along several different paths. The scientific community focused on nursing informatics can be described as a graph with the authors as vertices and the author-coauthor relationship as the connecting ...

  24. PDF LLM Critics Help Catch LLM Bugs

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  25. PDF Reforming Mathematics Classroom Pedagogy: Evidence-Based Findings and

    This paper concludes by making a number of methodological recommendations, proposing several needed areas of research related to developmental math pedagogy, and suggesting instructional practices that may improve the outcomes of developmental math students. 1. Introduction.

  26. GATE 2025

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  27. (PDF) Mathematics Performance of Students in a ...

    Mathematics, as we know, " Mathematics is the Queen and servant of Sciences. Confluent learning, as reemphasized by Loon and Nichol (2015), is holistic, it aims to activate and engage. all of ...

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    497. Chapter 14. Research in Mathematics Education. A lAn H. ScHoenfeld. University of California, Berkeley. As one of the three Rs, "' rithmetic" has always been central to education and ...

  29. UGC NET Syllabus 2024: Paper 1 & 2 Syllabus PDF Download

    UGC NET Paper 1 Syllabus 2024 Subject-wise. Paper 1 is mandatory for all candidates and carries a weightage of 100 marks. This exam allows the board to assess candidates' teaching and research ...

  30. Local Employment and Economic Development Programme (LEED)

    Reports and research papers. Research and working papers with deep dives and findings. Policy papers and briefs. Policy recommendations and case studies. Featured publications. Environment at a Glance Indicators. Creative minds, creative schools. Society at a Glance 2024. OECD Social Indicators. PISA 2022 Results (Volume II)