100 Level Courses

First Semester

MTH 101 - Sets and Number System

Credit Units: 2 | Prerequisite: O'Level Mathematics

Sets, Number systems, Functions etc.

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MTH 103 - Trigonometry and Coordinate Geometry

Credit Units: 2 | Prerequisite: O'Level Mathematics

Plane angles and their measurement, systems of circles, height and distance etc.

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MTH 105 - Differential and Integral Calculus

Credit Units: 2 | Prerequisite: O'Level Mathematics

Differentiation, Integration, graphs etc.

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Second Semester

MTH 102 - Algebra

Credit Units: 2 | Prerequisite: O'Level Mathematics

Quadratic Equations, Remainder theorem, Permutation and Combination etc.

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MTH 104 - Conic Section and Applications of Calculus

Credit Units: 2 | Prerequisite: O'Level Mathematics

Parabola, Ellipse, Hyperbola, curve sketching etc.

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MTH 106 - Vector and Dynamics

Credit Units: 2 | Prerequisite: O'Level Mathematics

Vectors, Velocity and Acceleration of a particles etc.

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200 Level Courses

First Semester

MTH 201 - Mathematical Methods I

Credit Units: 3 | Prerequisite: MTH 105

leibniz's theorem, Taylor and Maclaurin series etc.

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MTH 203 - Real Analysis I

Credit Units: 3 | Prerequisite: MTH 105

Boundedness, sequences, series, convergence Tests etc.

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MTH 205 - Abstract Algebra

Credit Units: 3 | Prerequisite: MTH 101

Negation, Boolean Algebra, Binary Operation etc.

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MTH 207 - Linear Algebra I

Credit Units: 3 | Prerequisite: MTH 102

Matrices, Gaussian elimination, Determinant etc.

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MTH 209 - Numerical Analysis

Credit Units: 3 | Prerequisite: MTH 105

Errors and their sources, Interpolation etc.

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Second Semester

MTH 202 - Elementary Differential Equations

Credit Units: 3 | Prerequisite: MTH 104

Variable seperable, homogeneous, exact and linear, etc.

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MTH 204 - Real Analysis

Credit Units: 3 | Prerequisite: MTH 105

limit of a functions, contuinity of functions on a set, etc.

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MTH 206 - Abstract Algebra II

Credit Units: 3 | Prerequisite: MTH 102

Homomorphisms, kernel, cosets, subgroups etc.

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MTH 208 - Linear Algebra II

Credit Units: 3 | Prerequisite: MTH 207

Vector spaces, Linear Mapping and Matrices etc.

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300 Level Courses

First Semester

MTH 301 - Mathematical Methods II

Credit Units: 3 | Prerequisite: MTH 201

Vector Fields, Gradient, Divergence and Curl etc.

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MTH 303 - Advanced Real Analysis I

Credit Units: 3 | Prerequisite: MTH 203

Bolzano- Weierstress Theorem, Closed and Open set etc.

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MTH 305 - Theory of Rings and Fields

Credit Units: 3 | Prerequisite: MTH 206

Abelian Groups, Homomorphisms Integral Domain etc.

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MTH 307 - Complex Analysis I

Credit Units: 3 | Prerequisite: MTH 203

Cauchy-Riemann Equations, sequences and series of complex numbers etc.

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MTH 309 - Analytic Dynamics I

Credit Units: 3 | Prerequisite: MTH 201

Cauchy-Riemann Equations, sequences and series of complex numbers etc.

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MTH 311 - Mathematical Modelling

Credit Units: 3 | Prerequisite: MTH 201

linear programming, Modelling using derivatives etc.

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MTH 317 - Numerical Analysis II

Credit Units: 3 | Prerequisite: MTH 209

Picard Method, Adam-Bash etc.

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Second Semester

MTH 300 - SIWES

Credit Units: 6 | Prerequisite: MTH 300

SIWES

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400 Level Courses

First Semester

MTH 400 - Project

Credit Units: 6 | Prerequisite: MTH 300

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MTH 401 - Differential Equations

Credit Units: 3 | Prerequisite: MTH 201

ODE, power series, sturm-liouville, gamma and beta functions etc.

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MTH 403 - General-Topology I

Credit Units: 3 | Prerequisite: MTH 303

Definition and examples of Topoligical space, Open and Close sets, first and second countable spaces etc.

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MTH 405 - Theory of Finite Groups

Credit Units: 3 | Prerequisite: MTH 305

Arithmetic Structure of Groups, Sylow p-subgroup, Isomorphism theorems etc.

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MTH 407 - Advanced Real Analysis II

Credit Units: 3 | Prerequisite: MTH 303

Uniform Convergence of sequences and series of Functions, Functions of Bounded Variations, Jordan's theorem etc.

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MTH 413 - Hydrodynamics I

Credit Units: 3 | Prerequisite: MTH 301

Langrangian and Eulerian methods of treating motion of fluids, Steady and Unsteady Flow, etc.

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MTH 425 - Graph Theory and combinatorics

Credit Units: 3 | Prerequisite: MTH 303

Graphs, Trees, Eularian and Hamiltonian graph etc.

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Second Semester

MTH 402 - Functional Analysis

Credit Units: 3 | Prerequisite: MTH 303

Norms, Metric spaces, Completeness and Compactness etc.

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MTH 408 - Measure and Intergration

Credit Units: 3 | Prerequisite: MTH 303

Review of Riemann integral, analysis, Lebesgue Integral etc.

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MTH 412 - Partial Differential Equations

Credit Units: 3 | Prerequisite: MTH 202

BVP and IVP, Laplace and pission Equations, Green's Function etc.

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MTH 414 - Hydrodynamics II

Credit Units: 3 | Prerequisite: MTH 301

Irrotational Motion, Steady and Unsteady Flow etc.

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MTH 416 - Complex Analysis II

Credit Units: 3 | Prerequisite: MTH 307

Taylor and Laurent series expansion, singularity and residue etc.

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Faruq Kosim

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