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Course Code Course Name Course Content
MATH 123

Must Course 2016

Discrete Mathematics Propositional Logic, Predicates and Quantifiers, Techniques of Proofs, Set Theory, Induction and Recursion, The Basics of Countings, The Pigeonhole Principle, Permutations and Combinations, Recurrence Relations, Inclusion-Exclusion and its Applications, Relations: Equivalence Relations, Partial Orders, Total Orders, Zorn’s Lemma, Axiom of Choice and its Equivalences, Graphs
MATH 124

Must Course 2016

Analytic Geometry Cartesian Coordinates in the Plane, Review of Trigonometry, Polar Coordinates, Change of Coordinates, Vectors in the Plane, Cartesian Coordinates in 3-Space, Surfaces, Cylindrical and Spherical Coordinates, Conic Sections, Vectors in 3-Space
MATH 141

Must Course 2019 & 2020

Analytic Geometry Cartesian Coordinates in the Plane, Review of Trigonometry, Polar Coordinates, Change of Coordinates, Vectors in the Plane, Cartesian Coordinates in 3-Space, Surfaces, Cylindrical and Spherical Coordinates, Conic Sections, Vectors in 3-Space
MATH 144

Must Course 2019

Abstract Mathematics Propositional Logic, Predicates and Quantifiers, Techniques of Proofs, Set Theory, Functions, Relations, Integers, Groups, Subgroups, Cyclic Groups, Groups of Permutations, Cosets, Theorem of Lagrange, Homomorphisms, Isomorphisms, Factor Groups, Rings, Integral Domains and Fields.
MATH 146

Must Course 2020

Abstract Mathematics Propositional Logic, Predicates and Quantifiers, Techniques of Proofs, Set Theory, Functions, Relations, Integers, Groups, Subgroups, Cyclic Groups, Groups of Permutations, Cosets, Theorem of Lagrange, Homomorphisms, Isomorphisms, Factor Groups, Rings, Integral Domains and Fields.
MATH 151

Must Course 2016

Calculus I Real numbers, intervals, absolute value, Inequalities, Graphs of Quadratic Equations, parabolas, Functions, Trigonometric functions, Transcendental functions, Limits and Continuity, Limits at infinity and infinite limits, Differentiation, chain rule, The Mean Value Theorem, implicit differentiation, Applications of Derivatives (Related rates, Indeterminate Forms and L’Hôpital’s Rule, Curve Sketching, Optimization), Integration, Fundamental Theorem of Calculus, Substitution, Integration by parts
MATH 152

Must Course 2016

Calculus II Applications of Integrals (Area, Volume, Arc length, Surface Area), Sequences and Series, Convergence Tests, Power Series, Infinite Products, Vectors, Planes and Lines, Functions of Several Variables, Limits and Continuity, Partial Derivatives, The Chain Rule, Gradients and Directional Derivative, Implicit Differentiation, Extreme Values, Lagrange Multipliers, Double Integrals, Triple Integrals, Line Integrals, Conservative Vector Fields, Divergence and Curl, Green’s Theorem, Stoke’s Theorem.
MATH 151

Must Course 2019

Calculus I Real numbers, intervals, absolute value, Inequalities, Graphs of Quadratic Equations, parabolas, Functions, Trigonometric functions, Transcendental functions, Limits and Continuity, Limits at infinity and infinite limits, Differentiation, chain rule, The Mean Value Theorem, implicit differentiation, Applications of Derivatives (Related rates, Indeterminate Forms and L’Hôpital’s Rule, Curve Sketching, Optimization).
MATH 152

Must Course 2019

Calculus II The Riemann Integral. Mean Value Theorem for integrals. Fundamental Theorem of Calculus. Techniques of Integration, Improper Integrals, Applications of Integrals, Sequences and Series, Convergence Tests, Power Series, Infinite Products, Vectors, Planes and Lines, Functions of Several Variables, Limits and Continuity, Partial Derivatives, The Chain Rule, Gradients and Directional Derivative, Implicit Differentiation, Extreme Values, Lagrange Multipliers.
MATH 153

Must Course 2020

Calculus I Real numbers, intervals, absolute value, Inequalities, Graphs of Quadratic Equations, parabolas, Functions, Trigonometric functions, Transcendental functions, Limits and Continuity, Limits at infinity and infinite limits, Differentiation, chain rule, The Mean Value Theorem, implicit differentiation, Applications of Derivatives (Related rates, Indeterminate Forms and L’Hôpital’s Rule, Curve Sketching, Optimization).
MATH 154

Must Course 2020

Calculus II The Riemann Integral. Mean Value Theorem for integrals. Fundamental Theorem of Calculus. Techniques of Integration, Improper Integrals, Applications of Integrals, Sequences and Series, Convergence Tests, Power Series, Infinite Products, Vectors, Planes and Lines, Functions of Several Variables, Limits and Continuity, Partial Derivatives, The Chain Rule, Gradients and Directional Derivative, Implicit Differentiation, Extreme Values, Lagrange Multipliers.
MATH 221

Must Course 2019 & 2020

Introduction to Mathematical Software This course is intended for students with no programming experience. Matrices, vectors, variables, arrays, conditional statements, loops, functions, two and three dimensional plots are explained. At the end of the course, students should be able to use MATLAB in various courses and be prepared to deepen their programming skills and learn other languages for computing, such as Java, C++, or Python. Also, we give a short introduction to LaTeX at the end of the course.
MATH 223

Must Course 2016

Algebra I Groups, Subgroups, Cyclic Groups, Generators of Groups, Groups of Permutations, Alternating Groups, Cosets, Theorem of Lagrange, Direct Products, Finitely Generated Abelian Groups, Homomorphisms, Isomorphisms, Factor Groups, Simple Groups, Group action on a set, Isomorphism Theorems, Sylow Theorems
MATH 231

Must Course 2016 & 2019

Linear Algebra I Systems of Linear Equations, Row Echelon Form, Matrix Algebra, Elementary Matrices, Determinants, Vector Spaces, Linear Independence, Basis and Dimension, Row Space and Column Space, Null Spaces and Ranges, Linear Transformations, Similarity
MATH 232

Must Course 2016 & 2019

Linear Algebra II Inner Product Spaces, Orthogonality, Orthonormal Sets, The Gram-Schmidt Orthogonalization Process, Eigenvalues and Eigenvectors, Diagonalization, Hermitian Matrices, Positive Matrices, Normal Matrices, Real Symmetric Matrices, Unitary and Orthogonal Matrices, Bilinear and Quadratic Forms, Canonical Forms, Decompositions.
MATH 233

Must Course 2020

Linear Algebra I Systems of Linear Equations, Row Echelon Form, Matrix Algebra, Elementary Matrices, Determinants, Vector Spaces, Linear Independence, Basis and Dimension, Row Space and Column Space, Null Spaces and Ranges, Linear Transformations, Similarity
MATH 234

Must Course 2020

Linear Algebra II Inner Product Spaces, Orthogonality, Orthonormal Sets, The Gram-Schmidt Orthogonalization Process, Eigenvalues and Eigenvectors, Diagonalization, Complex Vector Spaces, Hermitian Matrices, Positive Matrices, Normal Matrices, Real Symmetric Matrices, Unitary and Orthogonal Matrices, Bilinear and Quadratic Forms, Canonical Forms, Decompositions.
MATH 243

Must Course 2020

Differential Equations Existence-uniqueness theorem of first order initial value problems. First order equations. Higher order linear ordinary differential equations. Constant coefficient equations. Reduction of order method, method of undetermined coefficients, method of variation of parameters. Riccati equations, Cauchy-Euler equations. Power series solutions. The Laplace transforms. Convolution integral. Solution of initial value problems using Laplace transform. Solution of systems of linear differential equations.
MATH 245

Must Course 2016 & 2019

Differential Equations Existence-uniqueness theorem of first order initial value problems. First order equations. Higher order linear ordinary differential equations. Constant coefficient equations. Reduction of order method, method of undetermined coefficients, method of variation of parameters. Riccati equations, Cauchy-Euler equations. Power series solutions. The Laplace transforms. Convolution integral. Solution of initial value problems using Laplace transform. Solution of systems of linear differential equations.
MATH 251

Must Course 2016

Advanced Calculus I The Real line and Euclidean space, The topology of Euclidean space (open sets, Interior of a set, closed sets, accumulation points, closure of a set, boundary of a set, sequences, completeness), Compact and Connected sets (compactness, the Heine-Borel theorem, Nested set property, Path-connected sets, connected sets), Continuous Mappings, Uniform, pointwise convergences, the Weierstrass M-test, Integration and differentiation of series, the space of continuous functions, the Arzela – Ascoli theorem.
MATH 251

Must Course 2019 & 2020

Advanced Calculus I The Real line and Euclidean space, The topology of Euclidean space, Compact and Connected sets (compactness, the Heine-Borel theorem, Nested set property, Path-connected sets, connected sets), Continuous Mappings, Uniform, pointwise convergences, the Weierstrass M-test, Integration and differentiation of series, the space of continuous functions, the Arzela – Ascoli theorem.
MATH 252

Must Course 2016

Advanced Calculus II Continuous functions, the Arzela – Ascoli theorem, the contraction mapping, the Stone-Weierstrass theorem, Differentiable Mappings, Differentials of transformations, Matrix representation, Differentiable paths,The chain rule, Product rule and gradients, Higher derivatives, Maxima and Minima of the functions defined on R^n, The Inverse and Implicit Function Theorems, Lagrange Multipliers, Integration, Sets of measure zero, Improper Integrals, Fubini’s Theorem and the change of variables formula, Fourier Analysis, Inner Product Spaces, Orthogonal Families of Functions, Fourier Series.
MATH 252

Must Course 2019 & 2020

Advanced Calculus II Continuous functions, the Arzela – Ascoli theorem, the contraction mapping, the Stone-Weierstrass theorem, Differentiable Mappings, Differentials of transformations, Matrix representation, Differentiable paths,The chain rule, Product rule and gradients, Higher derivatives, Maxima and Minima of the functions defined on R^n, The Inverse and Implicit Function Theorems, Lagrange Multipliers, Integration, Sets of measure zero, Improper Integrals, Fubini’s Theorem, Fourier Analysis, Inner Product Spaces, Orthogonal Families of Functions, Fourier Series.
MATH 282

Must Course 2016 & 2019 & 2020

Numerical Analysis Roundoff errors, algorithms and convergence, bisection method, fixed point iteration, Newton’s method, error analysis, accelerating convergence. Interpolation and Lagrange polynomial, divided differences. Cubic splines. Numerical differentiation, Richardson’s extrapolation. Numerical integration, trapezoid, Simpson’s and Boole’s rules. Romberg integration, adaptive quadrature. Gaussian quadrature. Multiple integrals.
MATH 311

Elective Course

Calculus of Variations Lagrange multipliers, Maxima and minima, the first variation. The Euler-Lagrange equations. Constraints. Natural and boundary conditions.Transversality conditions. The Hamiltonian formulation.
MATH 315

Must Course 2016 & 2019 & 2020

Partial Differential Equations First order equations; linear, quasilinear, and nonlinear equations; classification of second order linear partial differential equations; canonical forms; the Cauchy problem for the wave equation; Laplace and heat equations (Sturm-Liouville Problems)
MATH 322

Elective Course

Fuzzy Sets The notion of membership, The concept of fuzzy subsets, Simple operations on fuzzy sets. Properties of the set of fuzzy subsets. Product and algebraic sum of two fuzzy subsets. Fuzzy graphs. Fuzzy relations. Properties of fuzzy binary relations.
MATH 323

Must Course 2016

Algebra II Rings, Fields, Integral Domains,Fermat’s and Euler’s Theorems, The Field of quotients of an integral domain, Rings of Polynomials, Factorization of Polynomials over a Field, Homomorphisms, Factor Rings, Prime Ideals, Maximal Ideals, Unique Factorization Domains, Euclidean Domains, Gaussian Integers, Field Extensions, Algebraic Extensions, Finite Fields.
MATH 324

Must Course 2016

Introduction to Probability and Statistics Statistical Inference, Sampling Procedures, Statistical Modeling, Graphical Methods, Data Description, Sample Spaces, Events, Algebra of Events, Probability of Events, Conditional Probability, Bayes’ Rule, Random Variables, Joint Random Variables, Mathematical Expectation, Variance, Covariance, Discrete Random Variables: Binomial, Hypergeometric, Negative Binomial, Geometric and Poison Distribution, Continuous Random Variables: Normal, Gamma and Exponential Distribution, Random Sampling, Sampling Distributions, Central Limit Theorem, t-Distribution, F-Distribution
MATH 325

Must Course 2019

Algebra Groups, Subgroups, Lagrange’s Theorem, Normal Subgroups, Quotient Groups, Homomorphisms, Direct Products, Semidirect Products, Group Action on Sets, Cayley’s Theorem, The Class Equation, Sylow Theorems, Rings, Fields, Integral Domains, Prime Ideals, Maximal Ideals, Rings of Polynomials, Factorization of Polynomials over a Field, Homomorphisms, Factor Rings, Unique Factorization Domains, Euclidean Domains, Field Extensions, Algebraic Extensions, Finite Fields.
MATH 327

Must Course 2019

Introduction to Probability and Statistics Statistical Inference, Sampling Procedures, Statistical Modeling, Graphical Methods, Data Description, Sample Spaces, Events, Algebra of Events, Probability of Events, Conditional Probability, Bayes’ Rule, Random Variables, Joint Random Variables, Mathematical Expectation, Variance, Covariance, Discrete Random Variables: Binomial, Hypergeometric, Negative Binomial, Geometric and Poison Distribution, Continuous Random Variables: Normal, Gamma and Exponential Distribution, Random Sampling, Sampling Distributions, Central Limit Theorem, t-Distribution, F-Distribution
MATH 329

Must Course 2020

Algebra Groups, Subgroups, Lagrange’s Theorem, Normal Subgroups, Quotient Groups, Homomorphisms, Direct Products, Semidirect Products, Group Action on Sets, Cayley’s Theorem, The Class Equation, Sylow Theorems, Rings, Fields, Integral Domains, Prime Ideals, Maximal Ideals, Rings of Polynomials, Factorization of Polynomials over a Field, Homomorphisms, Factor Rings, Unique Factorization Domains, Euclidean Domains, Field Extensions, Algebraic Extensions, Finite Fields.
MATH 332

Must Course 2019 & 2020

Introduction to Financial Mathematics Classification of Linear Integral Equations, Solution of an Integral Equation, Converting Volterra Equation to an ODE, Converting IVP to Volterra Equation, Converting BVP to Fredholm Equation, Fredholm Integral Equations, Volterra Integral Equations, Fredholm Integro-Differential Equations, Volterra Integro-Differential Equations, Real World Applications
MATH 342

Must Course 2016

Applied Mathematics Classification of Linear Integral Equations, Solution of an Integral Equation, Converting Volterra Equation to an ODE, Converting IVP to Volterra Equation, Converting BVP to Fredholm Equation, Fredholm Integral Equations, Volterra Integral Equations, Fredholm Integro-Differential Equations, Volterra Integro-Differential Equations, Real World Applications
MATH 344

Must Course 2019

Elementary Number Theory Divisibility. The linear Diophantine equation. Primes. Congruences. Euler, Fermat, Wilson, Lagrange and Chinese Remainder Theorems. Arithmetical functions.
MATH 346

Must Course 2020

Elementary Number Theory Divisibility. The linear Diophantine equation. Primes. Congruences. Euler, Fermat, Wilson, Lagrange and Chinese Remainder Theorems. Arithmetical functions.
MATH 352

Must Course 2016 & 2019

Complex Calculus Complex numbers. Complex functions and linear mappings of regions. Limits and continuity. Branches of functions. Differentiable and analytic functions. Harmonic, Elementary functions. Contours and contour integrals. The Cauchy-Goursat theorem. Cauchy integral formula. Taylor and Laurent series representations. Singularities, zeros, and poles. The residue theorem and its applications to evaluation of trigonometric and improper integrals. The argument principle and Rouché’s theorem.
MATH 353

Must Course 2019

Metric Spaces Definition of Metric and Metric Space, Examples of several different metrics, Semi metrics, Quasi metrics, Partial metrics, Open and closed sets on metric spaces, Open ball, Interior, closure, exterior , boundary and accumulation points on metric spaces,Continuity of functions on metric spaces, Homeomorphism, Convergence of a sequence on metric spaces, Cauchy sequences, Completeness on metric spaces, Banach’s Fixed Point Theorem, Restricted metric on a subset of a metric space, Uniform continuity of functions on Metric spaces, Isomorphism, isometric isomorphism, Comparisons of continuity and uniform continuity with examples, Equivalent metrics, Theory of compactness on metric spaces, Connected metric spaces, Characterizations of compactness and connectedness using open and closed sets.
MATH 354

Must Course 2020

Complex Calculus Complex numbers. Complex functions and linear mappings of regions. Limits and continuity. Branches of functions. Differentiable and analytic functions. Harmonic, Elementary functions. Contours and contour integrals. The Cauchy-Goursat theorem. Cauchy integral formula. Taylor and Laurent series representations. Singularities, zeros, and poles. The residue theorem and its applications to evaluation of trigonometric and improper integrals. The argument principle and Rouché’s theorem.
MATH 366

Elective Course 2016

Elementary Number Theory Divisibility. The linear Diophantine equation. Primes. Congruences. Euler, Fermat, Wilson, Lagrange and Chinese Remainder Theorems. Arithmetical functions.
MATH 371

Elective Course

Introduction to Fractional Differental Equations Mittlag-Leffler Functions; Riemann-Liouville fractional integrals and derivatives; Caputo fractional derivatives; Grünwald-Letnikov fractional derivative; Riesz fractional integro-differentiation ordinary differential equations; fractional Laplace transform; Cauchy type problems.
MATH 373

Elective Course 2016

History of Mathematics The following periods of history of mathematics will be studied: Mathematical Periods, Egyptian and Babylonian Period (2000 B.C.- 500 B.C.) Greek Mathematics Period, (500 B.C- A.D.500) Hindu, Islamic and Period of Transmission (A.D.500-A.D.1700), Classic Period (A.D. 1700-A.D.1900) Modern Period (A.D.1900- present).
MATH 381

Must Course 2016 Elective Course 2019 & 2020

Scientific Computing Ordinary differential equations and initial value problems. Euler’s method. Higher order Taylor methods. Runge-Kutta methods. Error control, systems of ordinary differential equations and higher order equations. Linear systems of equations. Operations of linear algebra. Gaussian elimination. Pivoting strategies, LU factorization. Eigenvalues. Iterative methods of Gauss-Seidel and Jacobi. Applications with MATLAB.
MATH 386

Elective Course

Introduction to Mathematical Modelling Discrete dynamical systems. Optimization models and Linear Programming. Correlation and regression. Discrete and continuous probabilistic models. Predator-prey models, optimal harvesting, traffic flow. Verification and validation of models.
MATH 402

Elective Course

Dynamical Systems and Chaos One dimensional maps. Fixed points and stability. Periodic points. Sensitive dependence on initial conditions. Chaos. Lyapunov exponents. Chaotic orbits. Fractals. Cantor set. Deterministic systems. Fractal dimensions.
MATH 410

Elective Course

Special Functions Gamma function. Beta function. Bessel’s and generalized Bessel’s function. Orthogonal polynomials. Chebyshev, Legendre, Hermite, Laguere, Jacobi polynomials, Hypergeometric functions.
MATH 414

Must Course 2016 Elective Course 2019

Real Analysis Sets of Measure zero, Borel sets, Measurable functions, Lebesgue integrals, Properties, Lebesgue integration for bounded measurable functions,Lebesgue integration for unbounded functions, the monotone and dominated convergence theorems, The L^p Spaces: Completeness and Approximation, the construction of the Lebesgue measure on R^d.
MATH 417

Elective Course

Introduction to Difference Equations The difference calculus, first order equations, linear equations, equations with constant coefficients, equations with variable coefficients, undetermined coefficients method, variation of parameters method, the Z-transform, linear systems, stability theory.
MATH 418

Elective Course

Calculus on Time Scales Basic Definitions, Differentiation, Integration, First Order Linear Equations, Second Order Linear Equations, Laplace Transform, Self-Adjoint Equations, Boundary Value Problems and Green’s Function, Eigenvalue Problems.
MATH 422

Elective Course

Introduction to Mathematical Biology Linear difference equations. Nonlinear difference equations. Steady-state solution. Periodic solution. M-cycles. Local stability. Cobwebbing method. Bifurcation theory. Saddle-node bifurcation. Pitchfork bifurcation. Transcritical bifurcation. Period doubling (flip) bifurcation. The approximate logistic equation. Delay difference equations. Biological applications of difference equations such as population models, Nicholson-Bailey model, host-parasite models and predator-prey models.
MATH 427

Elective Course

Introduction to Cryptography History and overview of cryptography, The Basic Principles of Modern Cryptography, Private-Key Cryptography; One time pad and stream ciphers, Block ciphers, PRPs and PRFs, Attacks on block ciphers. Message Integrity; Collision resistant hashing, Authenticated encryption: security against active attacks. Public-Key Cryptography; Cryptography using arithmetic modulo primes, Public key encryption, Arithmetic modulo composites. Digital Signatures.
MATH 428

Elective Course

Introduction to Representation Theory GroupRepresentations, FG-modules,GroupAlgebras, Maschke’sTheorem, Schur’sLemma, irreduciblemodulesandgroupalgebras, characters, charactertables.
MATH 451

Must Course 2016 & 2019 & 2020

Topology Topological. Spaces; definitions, bases and subbases; continuous closed and open functions; homeomorphisms; countability axioms; separation axioms; compactness; product and quotient topologies; connectedness; metric and normed spaces; function spaces, Ascoli’s theorem, compact open topology.
MATH 452

Must Course 2019 & 2020

Functional Analysis Metric Spaces, Completion of Metric Spaces, Normed Spaces, Finite Dimensional Normed Spaces, Bounded Linear operators, Linear Functional, Dual Space, Inner Product Spaces and Hilbert Spaces, Riesz Representation Theorem, Hilbert Adjoint Operator; Self-Adjoint, Unitary and Normal Operators; Hahn-Banach Theorem, Uniform Boundedness Principle, Strong and Weak Convergence.
MATH 456

Elective Course

Introduction to Metric Fixed Point Theory Metric space, b-metric space, quasi-metric space, ultra-metric space, partial metric space, Banach mapping principle and its extensions, Caristi’s fixed point theorem and its extensions, Edelstein’s fixed point theorem and its extensions, Meir-Keeler’s fixed point theorems and its extensions.
MATH 461

Must Course 2016

Mathematician’s Introduction to Modern Computer Science The course covers a number of modern computer software technologies which have taken significant input from mathematicsThese technologies or applications range from explicit mathematical software such as Matlab, to the likes of web search, e-commerce and social networking.
MATH 473

Must Course 2019

History of Mathematics The following periods of history of mathematics will be studied: Mathematical Periods, Egyptian and Babylonian Period (2000 B.C.- 500 B.C.) Greek Mathematics Period, (500 B.C- A.D.500) Hindu, Islamic and Period of Transmission (A.D.500-A.D.1700), Classic Period (A.D. 1700-A.D.1900) Modern Period (A.D.1900- present).
MATH 475

Must Course 2020

History of Mathematics The following periods of history of mathematics will be studied: Mathematical Periods, Egyptian and Babylonian Period (2000 B.C.- 500 B.C.) Greek Mathematics Period, (500 B.C- A.D.500) Hindu, Islamic and Period of Transmission (A.D.500-A.D.1700), Classic Period (A.D. 1700-A.D.1900) Modern Period (A.D.1900- present).
MATH 476

Must Course 2016 & 2019 & 2020

Differential Geometry Curves in R^3, the local theory of curves parametrized by arc length, Frenet-Serret formulas,curvature and torsion. Regular surfaces, the tangent plane, the differential of a map, diffeomorphism, the first fundamental form, Gauss map, the second fundamental form, normal curvature, principal curvature, Gauss map in local coordinates.
MATH 481

Must Course 2019

Mathematical Methods in Physics Newton’s Laws of Motion. Work, energy and momentum. Falling bodies and projectiles. Harmonic oscillators, motion of a simple pendulum, motion under the action of central forces. Systems of varying mass, rocket motion. Dynamics of rigid bodies. Lagrange’s Equations, Hamiltonian Theory. Coulomb’s law Divergence of electric field Gauss’ law. Laplace’s equation for electrostatic potential, Wave equation Plane electromagnetic waves.
MATH 483

Elective Course

An Introduction to Continuous Dynamical Systems Lyapunov Functions. Poincare maps. Center manifolds and normal forms. Periodic Solutions. Equilibrium Solutions. Local bifurcations. Global bifurcations and chaos.
MATH 485

Elective Course

Integral Equations Classification of Linear Integral Equations, Solution of an Integral Equation, Converting Volterra Equation to an ODE, Converting IVP to Volterra Equation, Converting BVP to Fredholm Equation, Fredholm Integral Equations, Volterra Integral Equations, Fredholm Integro-Differential Equations, Volterra Integro-Differential Equations, Real World Applications
MATH 487

Must Course 2020

Mathematical Methods in Physics Newton’s Laws of Motion. Work, energy and momentum. Falling bodies and projectiles. Harmonic oscillators, motion of a simple pendulum, motion under the action of central forces. Systems of varying mass, rocket motion. Dynamics of rigid bodies. Lagrange’s Equations, Hamiltonian Theory. Coulomb’s law Divergence of electric field Gauss’ law. Laplace’s equation for electrostatic potential, Wave equation Plane electromagnetic waves.
MATH 490

Must Course 2019 & 2020

Graduation Project A practical / theoretical training in mathematics / modelling / computer / simulation. A report and presentation are required for the completion of the course.
MATH 491

Must Course 2016

Graduation Project I A practical / theoretical training in mathematics / modelling / computer / simulation. A report and presentation are required for the completion of the course.
MATH 492

Must Course 2016

Graduation Project II A practical / theoretical training in mathematics / modelling / computer / simulation. A report and presentation are required for the completion of the course.