100 Level Courses
First Semester
MTH 101 - Sets and Number System
Credit Units: 2 | Prerequisite: O'Level Mathematics
Sets, Number systems, Functions etc.
Download NotesMTH 103 - Trigonometry and Coordinate Geometry
Credit Units: 2 | Prerequisite: O'Level Mathematics
Plane angles and their measurement, systems of circles, height and distance etc.
Download NotesMTH 105 - Differential and Integral Calculus
Credit Units: 2 | Prerequisite: O'Level Mathematics
Differentiation, Integration, graphs etc.
Download NotesSecond Semester
MTH 102 - Algebra
Credit Units: 2 | Prerequisite: O'Level Mathematics
Quadratic Equations, Remainder theorem, Permutation and Combination etc.
Download NotesMTH 104 - Conic Section and Applications of Calculus
Credit Units: 2 | Prerequisite: O'Level Mathematics
Parabola, Ellipse, Hyperbola, curve sketching etc.
Download NotesMTH 106 - Vector and Dynamics
Credit Units: 2 | Prerequisite: O'Level Mathematics
Vectors, Velocity and Acceleration of a particles etc.
Download Notes200 Level Courses
First Semester
MTH 201 - Mathematical Methods I
Credit Units: 3 | Prerequisite: MTH 105
leibniz's theorem, Taylor and Maclaurin series etc.
Download NotesMTH 203 - Real Analysis I
Credit Units: 3 | Prerequisite: MTH 105
Boundedness, sequences, series, convergence Tests etc.
Download NotesMTH 205 - Abstract Algebra
Credit Units: 3 | Prerequisite: MTH 101
Negation, Boolean Algebra, Binary Operation etc.
Download NotesMTH 207 - Linear Algebra I
Credit Units: 3 | Prerequisite: MTH 102
Matrices, Gaussian elimination, Determinant etc.
Download NotesMTH 209 - Numerical Analysis
Credit Units: 3 | Prerequisite: MTH 105
Errors and their sources, Interpolation etc.
Download NotesSecond Semester
MTH 202 - Elementary Differential Equations
Credit Units: 3 | Prerequisite: MTH 104
Variable seperable, homogeneous, exact and linear, etc.
Download NotesMTH 204 - Real Analysis
Credit Units: 3 | Prerequisite: MTH 105
limit of a functions, contuinity of functions on a set, etc.
Download NotesMTH 206 - Abstract Algebra II
Credit Units: 3 | Prerequisite: MTH 102
Homomorphisms, kernel, cosets, subgroups etc.
Download NotesMTH 208 - Linear Algebra II
Credit Units: 3 | Prerequisite: MTH 207
Vector spaces, Linear Mapping and Matrices etc.
Download Notes300 Level Courses
First Semester
MTH 301 - Mathematical Methods II
Credit Units: 3 | Prerequisite: MTH 201
Vector Fields, Gradient, Divergence and Curl etc.
Download NotesMTH 303 - Advanced Real Analysis I
Credit Units: 3 | Prerequisite: MTH 203
Bolzano- Weierstress Theorem, Closed and Open set etc.
Download NotesMTH 305 - Theory of Rings and Fields
Credit Units: 3 | Prerequisite: MTH 206
Abelian Groups, Homomorphisms Integral Domain etc.
Download NotesMTH 307 - Complex Analysis I
Credit Units: 3 | Prerequisite: MTH 203
Cauchy-Riemann Equations, sequences and series of complex numbers etc.
Download NotesMTH 309 - Analytic Dynamics I
Credit Units: 3 | Prerequisite: MTH 201
Cauchy-Riemann Equations, sequences and series of complex numbers etc.
Download NotesMTH 311 - Mathematical Modelling
Credit Units: 3 | Prerequisite: MTH 201
linear programming, Modelling using derivatives etc.
Download NotesMTH 317 - Numerical Analysis II
Credit Units: 3 | Prerequisite: MTH 209
Picard Method, Adam-Bash etc.
Download NotesSecond Semester
400 Level Courses
First Semester
MTH 401 - Differential Equations
Credit Units: 3 | Prerequisite: MTH 201
ODE, power series, sturm-liouville, gamma and beta functions etc.
Download NotesMTH 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.
Download NotesMTH 405 - Theory of Finite Groups
Credit Units: 3 | Prerequisite: MTH 305
Arithmetic Structure of Groups, Sylow p-subgroup, Isomorphism theorems etc.
Download NotesMTH 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.
Download NotesMTH 413 - Hydrodynamics I
Credit Units: 3 | Prerequisite: MTH 301
Langrangian and Eulerian methods of treating motion of fluids, Steady and Unsteady Flow, etc.
Download NotesMTH 425 - Graph Theory and combinatorics
Credit Units: 3 | Prerequisite: MTH 303
Graphs, Trees, Eularian and Hamiltonian graph etc.
Download NotesSecond Semester
MTH 402 - Functional Analysis
Credit Units: 3 | Prerequisite: MTH 303
Norms, Metric spaces, Completeness and Compactness etc.
Download NotesMTH 408 - Measure and Intergration
Credit Units: 3 | Prerequisite: MTH 303
Review of Riemann integral, analysis, Lebesgue Integral etc.
Download NotesMTH 412 - Partial Differential Equations
Credit Units: 3 | Prerequisite: MTH 202
BVP and IVP, Laplace and pission Equations, Green's Function etc.
Download NotesMTH 414 - Hydrodynamics II
Credit Units: 3 | Prerequisite: MTH 301
Irrotational Motion, Steady and Unsteady Flow etc.
Download NotesMTH 416 - Complex Analysis II
Credit Units: 3 | Prerequisite: MTH 307
Taylor and Laurent series expansion, singularity and residue etc.
Download Notes