Complex Analysis I
2023-24-Information sheet PEU5305 Course aim Introduce fundamental concepts, theorems, and techniques of Complex Analysis. Topics include Cauchy-Riemann Equations, Contour Integrals, Cauchy’s Theorem, Cauchy’s Integral Formula, Series Expansions, Residue Theorem, and evaluation of real integrals using Residue Theorem
Introduction to Complex Analysis
2023-24-Information sheet PEU5304 Course aim Describe the definition of complex numbers, their properties, algebra of complex numbers, and able to define and apply this knowledge in functions of complex variables
Combinatorics
Course aim Apply the counting techniques to the problems related to finite sets that come up in various applications and utilize them in solving optimization problems those come up in combinatorics. Information sheet (2023-2024)- PEU5302
Riemann integration
Course aim Describe the meaning (logical) of the Riemann integral of a function on a closed and bounded interval. Describe the meaning (logical) of the improper Riemann Integral of an unbounded function on a bounded interval or bounded function on an unbounded interval Information Sheet_PEU5300_ 2023_24
Linear Algebra
Course aim To provide a solid foundation in the basic concepts of Linear Algebra needed in undergraduate-level mathematics courses. Information sheet PEU4302 2023 2024
Real Analysis II
Course aim To introduce concept of limits of a function, continuity of a function, differentiability of a function and their applications.
Foundations of Mathematics
Course aim Introduce and familiarise students using the basic concepts of mathematics so that they will be ready to follow undergraduate algebra and analysis courses. 2023-24 -Information sheet PEU3301
Mathematical Logic and Mathematical Proofs
Course aim Familiarise students using the logical meanings of the logical connectives with their properties in order to read and comprehend mathematical proofs as well as to write mathematical proofs with valid statements using logically correct arguments. Information sheet_PEU3300_23_24
Numerical Methods
Course aim To introduce the basic techniques for the efficient numerical solution of problems in science and engineering. Topics span using numerical tools for root finding, interpolation, differentiation, integration, and solution of differential equations.
Mathematical Methods
Course aim This course aims at introducing students to the basic concepts and results on Laplace Transforms Fourier series Gamma, Beta Bessel Function Legendre Functions Information sheet ADU5302 2023 2024