MATH 162: Calculus II
Course Description
Textbook Information
Stewart/Clegg/Watson’s Calculus: Early Transcendentals 9th edition, Multi-Term
Instant Access ISBN: 9780357128930
Common Syllabus
Chapter 6: Applications of Integration
6.1 Areas between Curves
6.2 Volumes
6.3 Volumes by Cylindrical Shells
6.4 Work
6.5 Average Value of a Function
8.1 Arc Length
8.2 Area of a Surface of Revolution
Chapter 7: Techniques of Integration
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.7 Approximate Integration
7.8 Improper Integrals
Chapter 12: Vectors and the Geometry of Space
12.1 Three-Dimensional Coordinate Systems
12.2 Vectors
12.3 The Dot Product
12.4 The Cross Product
12.5 Equations of Lines and Planes
12.6 Cylinders and Quadric Surfaces
Chapter 14: Partial Derivatives
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers
Chapter 15: Multiple Integrals
15.1 Double Integrals Over Rectangles
15.2 Double Integrals Over General Regions
15.3 Double Integrals in Polar Coordinates
15.4 Applications of Double Integrals
Chapter 9: Differential Equations
9.1 Modeling with Differential Equations
9.2 Direction Fields and Euler’s Method (Optional)
9.3 Separable Equations
9.4 Models for Population Growth (Optional)
9.5 Linear Equations (Optional)