10.2 - Infinite Series

10.3 - Integral Test for Series

10.4 - Comparison Test for Series

10.5 - Absolute Convergence, Ratio and Root Tests

10.6 - Alternating Series and Conditional Convergence

10.7 - Power Series

10.8 - Taylor and Maclaurin Series

10.9 - Taylor Series Error and Convergence

10.10 - Binomial Series and Applications of Taylor Series

Chapter 11 - Parametric Equations and Polar Coordinates

Parts of Chapter 11 are covered in MAT21B.

Chapter 12 - Vectors

12.1 - Coordinate system in 3D

12.2 - Vector basics

12.3 - Dot Product and Vector Projection

12.4 - Cross Product

12.5 - Lines and Planes in Space

Chapter 13 - Vector Valued Functions

13.1 - Curves in Space and Their Tangents

13.2 - Projectile Motion and Integrals of Vector Functions

Chapter 14 - Partial Derivatives and Applications

14.1 - Functions of Several Variables, Sketching in 3D

14.2 - Limits and Continuity

14.3 - Partial Derivatives

14.4 - The Chain Rule

14.5 - Gradients and Directional Derivatives

14.6 - Tangent Planes and Differentials

14.7 - Extreme Values and Saddle Points

14.8 - Lagrange Multipliers