MTE-07 Advanced Calculus

Block 1 - R∞ and Rn

Unit 1 - Infinite Limits

Unit 2 - L' Hopital's Rule

Unit 3 - Functions of Several Variables

Block 2 - Partial Derivatives

Unit 1 - Limit and Continuity

Unit 2 - First Order Partial Derivatives and Differentiability

Unit 3 - Higher Order Partial Derivatives

Unit 4 - Chain Rule and Directional Derivatives

Block 3 - Applications of Partial Derivatives

Unit 1 - Taylor's Theorem

Unit 2 - Jacobians

Unit 3 - Implicit and Inverse Function Theorems

Block 4 - Multiple Integration

Unit 1 - Double Integration

Unit 2 - Triple Integration

Unit 3 - Applications of Integrals

Unit 4 - Line Integrals in R2

Total-18, Solved-8, Unsolved-10

June (2010-2022)

December (2009-2022)