Chapter 10
Section 10.5 - Lines and Planes in Space
Section 10.6 - Surfaces in Space
Section 10.7 - Cylindrical and Spherical Coordinates
Review Exercises
Chapter 10 Review Test Answer Key
Test 1
Chapter 11
Section 11.1 - Vector-Valued Functions
Section 11.2 - Differentiation and Integration of Vector-Valued
Functions
Section 11.3 - Velocity and Acceleration
Section 11.4 - Tangent Vectors and Normal Vectors
Section 11.5 - Arc Length and Curvature
Review Exercises
Chapter 11 Review Test Answers
Chapter 11 Review Test 2 Answers
Test 2
Chapter 12
Section 12.1 - Introduction to Functions of Several Variables
Section 12.2 - Limits and Continuity
Section 12.3 - Partial Derivatives
Section 12.4 - Differentials
Section 12.5 - Chain Rules for Functions of Several Variables
Section 12.6 - Directional Derivatives and Gradients
Section 12.7 - Tangent Planes and Normal Lines
Section 12.8 - Extrema of Functions of Two Variables
Section 12.9 - Application of Extrema of Functions of Two Variables
Section 12.10 - Lagrange Multipliers
Review Exercises
Chapter 12 Review Test Answers
Chapter 12 Review Test answer key
Test 3
Chapter 13
Section 13.1 - Iterated Integrals and Area in the Plane
Section 13.2 - Double Integrals and Volume
Section 13.3 - Change of Variables; Polar Coordinates
Section 13.4 - Center of Mass and Moments of Inertia
Section 13.5 - Surface Area
Section 13.6 - Triple Integrals and Applications
Section 13.7 - Triple Integrals in Cylindrical and Spherical
Coordinates
Section 13.8 - Change of Variables: Jacobians
Review Exercises
Chapter 13 Review Test Answers
Chapter 13 Review Test Answers
Test 4
Chapter 14
Section 14.1 - Vector Fields
Section 14.2 - Line Integrals
Section 14.3 - Conservative Vector Fields and Independence of
Path
Section 14.4 - Green’s Theorem
Section 14.5 - Parametric Surfaces
Section 14.6 - Surface Integrals
Section 14.7 - Divergence Theorem
Section 14.8 - Stoke’s Theorem
Review Exercises
Chapter 14 Review Test Answers
Test 5
Review for Final Examination
FINAL EXAM