Week - 1 |
Integration by Parts, Integration of Rational Functions |
Week - 2 |
Inverse Substitution, Improper Integrals |
Week - 3 |
Volumes by Slicing-Solids of Revolution, More volumes by Slicing |
Week - 4 |
Arc Length and Surface Area, Polar Coordinates and Polar Curves |
Week - 5 |
Sequences and Convergence, Infinite Series |
Week - 6 |
Convergence Tests for Positive Series |
Week - 7 |
Absolute and Conditional Convergence |
Week - 8 |
Power Series, Taylor and Maclaurin Series |
Week - 9 |
Analytic Geometry in Three Dimensions, Vectors, The Cross Product in 3-Space |
Week - 10 |
Planes and Lines, Quadric Surfaces |
Week - 11 |
Functions of Several Variables, Limits and Continuity |
Week - 12 |
Partial Derivatives, Higher-Order Derivatives |
Week - 13 |
The Chain Rule, Gradients and Directional Derivatives, Double Integrals |
Week - 14 |
Iteration of Double Integrals in Cartesian Coordinates, Improper Integrals and a Mean-Value Theorem, Double Integrals in Polar Coordinates |