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### General Information, Syllabus, Assessment and Test Dates

Undergraduate Catalog Description: Symbolic and numerical techniques of integration, improper integrals, applications of the definie integral, sequences and series, power series, Taylor series, differential equations. 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 integration, sequences and series (including power and Taylor series), and a developing understanding of differential equations..
- Further develop the ability to apply your knowledge of 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 be able to symbolically integrate functions using a variety of techniques.
- Students will be able to find integrals numerically.
- Students will be able to determine if an improper integral converges or diverges.
- Students will be able to compute volumes of rotation.
- Students will be able to apply their knowledge of integration in an applied setting.
- Students will be able to compute Taylor and Maclaurin polynomials.
- Students will be able to determine if a sequence converges or diverges.
- Students will be able to determine if a series converges or diverges.
- Students will be able to solve simple differential equations.
- Students will be prepared for Math 2530, Math 3110, Math 3240, Math 3760, Math 4050, Math 4650, and Math/Stat 3850.

### Syllabus

The work of the course will be divided into an introduction to the course and 13 modules that cover the following ten chapters of the textbook (Chapters 12, 14 and 16 will each be divided into two modules).

Chapter 7: Integration

Chapter 8: Using the Definite Integral

Chapter 9: Sequences and Series

Chapter 10: Approximating Functions using Series

Chapter 11: Differential Equations

### Assessment

1. | Group work | 11% |

2. | Online homework | 11% |

3. | Group quizzes (best 7 of 9 count) | 10% |

4. | "Gateway" exam | 10% |

5. | Online discussion | 10% |

6. | Tests | 32% |

7. | Final examination | 16% |

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 Tuesday, February 23

Test 2: due Wednesday, March 17

Test 3: due Friday, November 13

Test 3: due Monday, April 12

Test 4: due Friday, April 30

Final: due Monday, May 17 by 6 p.m.

### Gateway Exam Schedule

First attempt: due Thursday, February 25

Second attempt: due Thursday, March 4

Third attempt: due Thursday, March 18

Fourth attempt: due Thursday, March 25

Fifth attempt (available to students who had a technical issue on one of the first four attempts, requires approval): due Thursday, April 1

### Quiz Schedule

Quiz 1: due Monday, February 8

Quiz 2: due Monday, February 15

Quiz 3: due Tuesday, March 2

Quiz 4: due Wednesday, March 10

Quiz 5: due Tuesday, March 23

Quiz 6: due Wednesday, March 31

Quiz 7: due Friday, April 16

Quiz 8: due Wednesday, April 21

Quiz 9: due Monday, May 10

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