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Calculus
Part A: Limit
Lecture 1.1: Define function. Different types of function with examples
Lecture 1.2: Graphs of Function
Graphs of functions
Lecture 1.3: Limit, Limit of function using delta-epsilon
Lecture 1.4: Indeterminate Form
Lecture 1.5: Define Continuity and Differentiability. Problems of Continuity and Differentiability
Problem 01: Test the continuity
Problem 02: Test the continuity and Differentiability
Problem 03: Test the continuity and Differentiability
Part B: Continuity and Differentiability
Lecture 2.1: Important formula of differentiation. Problems of differentiation.
Lecture 2.2: Important formula of successive differentiation. Problems of successive differentiation
Lecture 2.3: Derive Leibnitz’s theorem.
Lecture 2.3.A: Problems of Leibnitz’s theorem.
Problems of Leibnitz's Theorem
Problems of Leibnitz's Theorem
Problems of Leibnitz's Theorem
Part C: Differentiation
Lecture 3.1: Differentiation
Problem: 01
Find the differential coefficients of various types of given functions
Lecture 3.2: Derive Rolle’s theorem.Problems of Rolle’s theorem
Lecture 3.3: Derive Mean Value theorem.Problems of Mean Value theorem
Mean value theorem
Lecture 3.4: Derive Taylor’s theorem.Problems of Taylor’s theorem
Lecture 3.5: Derive Rolle’s theorem.Problems of Rolle’s theorem
Lecture 3.6: Problems of maximum and minimum
Find the maximum and minimum value
Part D: Antiderivatives and Indefinite Integrals
Lecture 4.1: Important formula of integration. Problems of integration
Important formulas for Integration
Part E: Definite Integrals
Lecture 5.1: Fundamental theorem of integral calculus
Lecture 5.2: Important formula of definite integrals.
Lecture 5.3: Gamma and beta functions
Lecture 5.4: Definite integrals as the limit of a sum
Problems of limit of a sum
Problems of limit of a sum
Part F: Determination of Area, Length, Volume of Solids of Revolution and Surface Area of Solids of Revolution
Lecture 6.1: Important formula of determining area, length and volume
Lecture 6.2: Determination of area
Find the area bounded by the given curves
Find the area bounded by the given curves
Find the area bounded by the given curves
Find the area bounded by the given curves
Lecture 6.4: Determination of volume of solids of revolution
Lecture 6.5: Determination of volume surface area of solids of revolution