Differential Equation ,Trigonometry and Matrices
This course enables one to understand a differential equation and its solution. Various methods to solve a first order differential equation is discussed. Introduction to partial differential equation and methods to solve the same are also disussed.
Abstract Algebra
This course introduces the students to the concepts of groups, rings and fields. The first two modules deal with groups and their properties. The third and fourth modules deal with the theory of rings and introduces the concept of a field.
Differential Equations
Differential equations first came into existence with the inventions of calculus by Newton and Leibnitz. Isaac Newton listed three kinds of differential equations in his work. He solves these examples and others using infinite series and discusses the non-uniqueness of solutions. Jacob Bernoulli proposed the Bernoulli differential equation in 1695. Later on many different equations were developed and their solutions studied.
This course enables on to understand the basic nature of differential equations and their solutions via different methods which also includes power series solution. An introduction to partial differential equation is also offered.
FUZZY MATHEMATICS
Course objectives:
To Provide an emphasis on the differences and similarities between fuzzy sets and classical sets theories.
Provide a brief introduction to fuzzy arithmetic concepts and fuzzy logic.
Mathematical Analysis
Mathematical analysis is one of the most important and welldeveloped
strands of pure mathematics with many elegant and beautiful theorems, and also
with applications to many areas of mathematics, theoretical statistics, econometrics, and optimisation.
The aim is to introduce students to the ideas of formal definitions and rigorous proofs (one
of the fundamental features of modern mathematics, and something that is not familiar from
A-level), and to develop their powers of logical thinking.
Descriptive Statistics
measure of central tendency,measures of distpersion, moment measures and index numbers
Advanced Calculus and Trigonometry
We will learn concepts of higher order derivatives, Multiple integrals etc