A printed version of this page has no headers, footers, menu bars or this message.
General Course Information
Undergraduate Catalog Description: Three-dimensional analytic geometry, vector-valued functions, partial differentiation, multiple integration, and line integrals. 4 credit hours. Prerequisite: MATH 1520 with a grade of "C-" or higher, Math Waiver per Advisor with a minimum score of 1520, or SLU Math Placement with a minimum score of 2530.
Important (for students): the official class syllabus is available on Canvas. Read it.
Course Goals
- Develop a thorough understanding of the concepts and techniques of multivariable calculus, particularly differentiation and of integration.
- Develop the ability to apply your knowledge of multivariable calculus to solve unfamiliar problems.
- Develop skills for working effectively with others on mathematics problems, including the ability to clearly and correctly communicate mathematics in writing and verbally.
Student Learning Objectives
- Students will understand functions of two and three variables from symbolic, numerical and graphical viewpoints (making use of cross-sections and contour lines and surfaces) and will recognize the equations and shapes of common surfaces.
- Students will understand and correlate geometric and algebraic descriptions of vectors and vector operations in the plane and in space.
- Students will understand continuity and differentiability for functions of two or more variables.
- Students will be able to symbolically compute partial and directional derivatives.
- Students will understand polar, cylindrical and spherical coordinate systems and recognize contexts in which the use of these is appropriate.
- Students will be able to set up and compute double and triple integrals in rectangular, polar, spherical and cylindrical coordinate systems.
- Students will be able to develop and use parametric descriptions for common curves and surfaces.
- Students will use the techniques of multivariable calculus to solve applied problems.
- Students will be introduced to vector fields and their calculus.
- Students will be prepared for Math 3120, Math 3550, Math 3800, Math 4210, Math 4310, Math 4480, Math 4630, Math 4800 and Math 5080.
Topics Covered
Chapter 12: Functions of Several Variables
Chapter 13: A Fundamental Tool: Vectors
Chapter 14: Differentiating Functions of Several Variables
Chapter 15: Optimization: Local and Global Extrema
Chapter 16: Integrating Functions of Several Variables
Chapter 17: Parameterizing and Vector Fields
Chapter 18: Line Integrals
Chapter 19: Flux Integrals and Divergence
Chapter 20: The Curl and Stokes' Theorem
Chapter 21: Parameters, Coordinates, and Integrals (21.1, 21.3)
Assessment
| 1. | Attendance | 10% |
| 2. | Online homework (WeBWorK) | 10% |
| 3. | Section quizzes (best 40 of 43 scores count) | 20% |
| 4. | Tests | 36% |
| 5. | Final examination | 24% |
Each online WeBWorK homework assignment must be completed by the listed deadline.
There will be a short section quiz the class day after each section is completed in class.
Important: the dates listed below are subject to adjustment, for example, for unexpected/unpredictable events.
Test Schedule
Test 1: Monday, September 18
Test 2: Wednesday, October 18
Test 3: Wednesday, November 29
Final: Thursday, December 14 at 8 a.m.