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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.

### Important: 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

### Assessment

1. | Group work | 10% |

2. | Online homework | 10% |

3. | Group quizzes (best 6 of 7 count) | 10% |

4. | "Gateway" exam | 10% |

6. | Tests | 36% |

7. | Final examination | 24% |

Each group work must be completed. It must be submitted in class on paper by the first listed deadline, and any corrections must be submitted by the final listed deadline. The deadlines are provided in Canvas.

Each online WeBWorK homework assignment must be completed 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 in-person classes to online classes.*

### Test Schedule

Test 1: Monday, September 20

Test 2: Monday, October 18

Test 3: Tuesday, November 30

Final: Wednesday, December 15 at 12 p.m.

### Gateway Exam Schedule

First attempt: in class Friday, October 22

Second attempt: Thursday, November 4

Third attempt: Thursday, November 11

Fourth attempt: Thursday, November 18

### Quiz Schedule

Quiz 1: Wednesday, September 1

Quiz 2: Monday, September 13

Quiz 3: Wednesday, September 29

Quiz 4: Friday, October 8

Quiz 5: Monday, November 1

Quiz 6: Wednesday, November 10

Quiz 7: Wednesday, December 8