About This Course

This course in basic calculus intends to equip the engineering and science with the mathematical tools that they would primarily require for their studies. The emphasis is on understanding the concepts through examples and exercises. There will be no detailed proof of results unless it is very simple....

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Course Curriculum

5 Sections | 30 Lecture | 11h 22min total length

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Numbers, Functions, Sequencs and Limits of Functions

| 02h 10min total length

Numbers
23m
Functions-1
23m
Sequence-1
20m
Sequence-2
21m
Limits and Continuity-1
21m
Limits and Continuity-2
21m

Continuity, Derivative, Maxima and Minima and Taylors expansion

| 02h 15min total length

Limits And Continuity- 3
20m
Derivative- 1
21m
Derivative- 2
24m
Maxima And Minima
23m
Mean-Value Theorem And Taylors Expansion-1
19m
Mean-Value Theorem And Taylors Expansion-2
24m

Integration Of Real Functions

| 02h 20min total length

Integration -1
21m
Integration -2
26m
Integration by parts
22m
Definite Integral
24m
Riemann Integration -1
21m
Riemann Integration -2
23m

Function of two variables, Continuity and Differentiability, Lagrange Multiplier Rule.

| 02h 22min total length

Functions Of Two Or More Variables
23m
Limits And Continuity Of Functions Of Two Variable
22m
Differentiation Of Functions Of Two Variables - 1
25m
Differentiation Of Functions Of Two Variables - 2
25m
Unconstrained Minimization Of Functions Of Two Variables
24m
Constrained Minimization And Lagrange Multiplier Rules
21m

Infinite Series and Multiple Integrals.

| 02h 14min total length

Infinite Series - 1
20m
Infinite Series - 2
21m
Infinite Series - 3
17m
Multiple Integrals - 1
23m
Multiple Integrals - 2
29m
Multiple Integrals - 3
20m

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