Spring 2021

Math 2530 Calculus III

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General Information, Syllabus, Assessment and Test Dates

Undergraduate Catalog Description: Three-dimensional analytic geometry, vector-valued functions, partial differentiation, multiple integration, and line integrals. 4 credit hours. Prerequisite: A grade of "C-" or better in Math 1520 Calculus II, or placement.

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

  1. 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.
  2. Students will understand and correlate geometric and algebraic descriptions of vectors and vector operations in the plane and in space.
  3. Students will understand continuity and differentiability for functions of two or more variables.
  4. Students will be able to symbolically compute partial and directional derivatives.
  5. Students will understand polar, cylindrical and spherical coordinate systems and recognize contexts in which the use of these is appropriate.
  6. Students will be able to set up and compute double and triple integrals in rectangular, polar, spherical and cylindrical coordinate systems.
  7. Students will be able to develop and use parametric descriptions for common curves and surfaces.
  8. Students will use the techniques of multivariable calculus to solve applied problems.
  9. Students will be introduced to vector fields and their calculus.
  10. Students will be prepared for Math 3120, Math 3550, Math 3800, Math 4210, Math 4310, Math 4480, Math 4630, Math 4800 and Math 5080.


The work of the course will be divided into an introduction to the course and 13 modules that cover the following five chapters of the textbook (each chapter is divided into two or three modules).

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


1.Group work10%
2.Online homework10%
3.Group quizzes (best 9 of 10 count)10%
4."Gateway" exam10%
5.Online discussion10%
7.Final examination20%

Each group work must be completed. It must be submitted in Blackboard by the first listed deadline, and any corrections must be submitted by the final listed deadline.

Each online homework task assigned (whether in WeBWorK or Blackboard) must be submitted by the listed deadline.

Important: the dates listed below are subject to adjustment, for example, if SLU calls a short halt to classes to provide time to transition from (some) in-person classes to entirely online classes. Our schedule is designed to provide time for such a transition. If there is no transition then we will conclude the semester with additional review time.

Test Schedule

Test 1: due Monday, March 1
Test 2: due Tuesday, March 30
Test 3: due Friday, April 30
Final: due Monday, May 17 by 6 p.m.

WARNING: Do NOT make travel arrangements that conflict with these test and exam dates. Alert your family to your test and exam schedule!

Gateway Exam Schedule

First attempt: due Thursday, April 1
Second attempt: due Thursday, April 8
Third attempt: due Thursday, April 15
Fourth attempt: due Thursday, April 22
Fifth attempt (available to students who had a technical issue on one of the first four attempts, requires approval): due Thursday, April 29

Quiz Schedule

Quiz 1: due Monday, February 8
Quiz 2: due Friday, February 12
Quiz 3: due Monday, February 22
Quiz 4: due Wednesday, March 10
Quiz 5: due Wednesday, March 17
Quiz 6: due Tuesday, March 23
Quiz 7: due Wednesday, April 7
Quiz 8: due Wednesday, April 14
Quiz 9: due Friday, April 23
Quiz 10: due Friday, May 7

To reiterate, the dates listed above are subject to adjustment!