B.Sc. in Mathematics

Title of Paper Topics in Paper Paper I
Differential Equations and calculus Differential Equations, Real Numbers, Sequences, Functions and graphs, continuity, differentiability and applications. Paper II
Discrete Mathematics Sets, functions, Integers, counting principles, complex numbers, polynomials. S.Y. B.Sc. Title of Paper Topics in Paper Paper I
Calculus and analysis The Real Line, Sequences, Infinite series, continuity, Integration, and applications, improper integrals. Paper II
Linear algebra Vectors in IR, linear equations, matrices, vector spaces over IR, linear, transformations, determinants. Paper III
Computational Mathematics Algorithms, Graphs and trees, Numerical methods. T.Y. B.Sc. Title of Paper Topics in Paper Paper I
Multivariable Calculus Euclidean spaces, Limits and continuity, differentiation and applications, Multiple Integrals, Line integrals, surface integrals. Paper II
Algebra Inner Products and orthogonality, Eigen values, eigen vectors and diagonalisation, Groups, rings and fields, factorization. Paper III
Mechanics and Differential Equations Basic principles of mechanics, generalities about linear differential equations, linear differential equations with constant coefficients. Oscillation theory, systems of first order differential equations, central orbits, rigid dynamics Paper IV
Analysis Metric spaces, continuity, connectedness, compactness, sequences and series of functions, Fourier series.