This course offers a comprehensive exploration of integral and partial
differentiation calculus. Topics include integration methods, the definite
integral, and the Fundamental Theorem of Calculus. Practical sessions cover
integration applications like area between curves and double integrals. In partial
differentiation, functions of several variables, partial derivatives, and the Chain
rule are studied, with practical exercises reinforcing concepts. Applications of
partial derivatives include directional derivatives, gradients, tangent planes, and
identifying extreme values and saddle points. Through theory, practice, and
real-world examples, students gain a deep understanding of integral and partial
differentiation calculus principles and their practical applications
Course Objectives:
The objectives of the course include teaching the students the concepts of Fourier Series, Fourier
and Laplace Transforms and their applications in the physical world.The course also introduces the
concept of groups which is very useful in studying symmetry of molecular structures.
Course Objectives:
The objectives of the course are to familiarise the students with the concept of higher order
derivatives and their applications. Parametric Equations of curves and their applications are
introduced to the student. The course also introduces multiple integrals and their application to area
and volume problems.The final module deals with trigonometry
Understand the concepts of
different types of graphs. Understand the concept of
matching in a graph, the
Marriage problem and various
assignment problems
Module 3: Metric spaces- Definition and Examples, Open Sets, Closed Sets, Cantor Set
Module 4: COnvergence, Completeness, Continuous Mapping
Chapters 2: sec 9-13 from text
Course Objectives:
The objective of the course is to familiarise the students with the various applications of
derivatives and definite integrals. The course introduces Rolle’s Theorem, Lagranges Mean
Value Theorem and their applications. L’Hopital’s rule for computing limits of indeterminate
forms and hyperbolic functions and their derivatives are also introduced. Functions of more than
one variable and consequently partial derivatives are also discussed.
Course Objectives :
The objectives of the course include familiarizing the student with the techniques of solving first
order ordinary differential equations, the origin of first order p.d.e.’s and their solution. The course
also introduces matrix theory and its application in solving systems of linear equations and
applications of the Cayley Hamilton theorem. Basic trigonometry including summation of infinite
series by the C+iS method is also introduced.
Course Objectives:
1) To introduce the applications of vector calculus to real world problems.
2) To enable the student to find the number, location and roots of real polynomial equations upto fourth order
3) To study matrix theory and its application to solution of systems of linear equations
4) To study the applications of Cayley Hamilton theorem.
The objectives of the course include familiarizing the student with the
techniques of solving first order ordinary differential equations, the origin of first order p.d.e.’s and
their solution. The course also introduces matrix theory and its application in solving systems of
linear equations and applications of the Cayley Hamilton theorem. Basic trigonometry including
summation of infinite series by the C+iS method is also introduced.
This course gives an introduction into the fundamental properties of the real number system.
The course aims at introducing to the student the concept of groups and related concepts including subgroups, cyclic group etc. The concepts of rings, integral domains, fields etc. are also discussed.
This course deals with the basic concepts of number theory including congruences, their properties, Fermat's theorem, Euler's theorem and Wilson's theorem.
STAISTICAL INFERENCE IS DIVIDED IN TO TWO - ESTIMATION OF PARAMETERS AND TESTING OF HYPOTHESIS
The objectives of this course include preparing students of all streams, particularly those
with arts and commerce back ground with the basics of mathematics required for their higher
studies and preparing students of all streams, particularly those with arts and commerce back
ground to approach competitive examinations. Detailed explanation and short cut method for
solving problems are to be introduced to students, so that they can acquire better understanding of
concepts and problem solving skill.