MATH256: Calculus III

Course Description

Objectives

1. To provide students with a course in the calculus of several variables, including an introduction to partial deriatives and multiple integrals;
   
   
2. To provide students with a course which treats polar coordinates, vectors, and solid analytic geometry.

Text

Grading Procedure

Attendance 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.