Registrations (Open Now)

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The maximum strength of a batch will not be exceed 5 students.

Tuition Fee
INR 29,999
Free First Class

Duration (6 Weeks) : 45 Hours
Daily 2 Hr and 30 Minutes sessions
2 Hr for Teaching
1/2 Hr is for Problem Solving
5 Days per week

List of topics to be covered :

1. Analysis: Elementary set theory, finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, supremum, infimum. Sequences and series, convergence, limsup, liminf. Bolzano Weierstrass theorem, Heine Borel theorem. Continuity, uniform continuity, differentiability, mean value theorem. Sequences and series of functions, uniform convergence. Riemann sums and Riemann integral, Improper Integrals. Monotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure, Lebesgue integral. Functions of several variables, directional derivative, partial derivative, derivative as a linear transformation, inverse and implicit function theorems. Metric spaces, compactness, connectedness. Normed linear Spaces. Spaces of continuous functions as examples.

2. Complex Analysis, Algebra, Topology

3. Ordinary Differential Equations (ODEs), Partial Differential Equations (PDEs), Numerical Analysis, Calculus of Variations, Linear Integral Equations, Classical Mechanics

In this special online program for the CSIR Mathematics, India, June 2025.
All class recordings will be provided freely on
my youtube channel https://www.youtube.com/@stemteacher.canada
Resource Person: Naresh Kumar (Assistant Professor)

CSIR Mathematics, India, 2025