Calculus III
Revised: November 2006
Course Description
Plane curves, polar coordinates, vectors and solid analytic geometry, vector-valued functions, partial differentiation, multiple integrals. Four semester hours.
Objectives
1. To provide students with a course in the calculus of several variables, including an introduction to partial derivatives and multiple integrals;
2. To provide students with a course which treats polar coordinates, vectors, and solid analytic geometry.
Text
Hughes-Hallet, Gleason, McCallum et al. Single and Multivariable Calculus, 4th Edition. John Wiley & Sons, 2005.
Grading Procedure
Grading procedures and factors influencing course grade are left to the discretion of individual instructors, subject to general university policy.
Attendance Policy
Attendance policy is left to the discretion of individual instructors, subject to general university policy.
Course Outline
- CHAPTER 12 - Functions of Several Variables (9 days)
All sections are to be covered Functions of two variables, contour diagrams, linear functions, functions of three variables, limits and continuity
- CHAPTER 13 - Vectors (6 days)
All sections are to be covered Vectors, the dot product, the cross product
- CHAPTER 14 - Differentiating Functions of Several Variables (12 days)
All sections are to be covered Partial derivatives, differentials, gradients and directional derivatives, the chain rule, second order partial derivatives, differentiability
- CHAPTER 15 - Optimization (6 days)
All sections are to be covered Optimization and Lagrange multipliers
- CHAPTER 16 - Integrating Functions of Several Variables (9 days)
Sections 1 - 5 (section 7 recommended, if time allows) Double and triple integrals, integrals in polar, cylindrical, and spherical coordinates.
Plus selected topics from Chapter 17 and Chapter 18 as time allows.