## > Teaching > Calculus I

### Calculus I (spring 2019)

##### aka Advanced Mathematics C(1)

This course covers the first half of calculus for business and economics students. Topics contain functions, limits and derivatives, differentiation rules, and applications of differentiation. Exponential and logarithmic functions will be introduced in an early stage while trigonometric and hyperbolic functions are *not* covered.

#### Course Information

**Course ID**: 0208520001

**Credit**: 4

**Lecture time**: Session 3-4 (10:20-11:50) on Tuesday/Friday

**Classroom**: H1-404 Liberal Arts Building (Wen Ke Lou)

**Instructor**: Dr. Jia-Ping Huang

**Office hour**: Tuesday 13:00-14:00, 2613 Liberal Arts Building

**E-mail**: huangjp #at# szu . edu . cn

#### Prerequisites and Suggestions

Knowledge of pre-university mathematics is required and will be checked on the first lecture. A graphing calculator may be useful for self-study but is not necessary for the course and is forbad in exams. Students may also use online tools such as WolframAlpha (https://www.wolframalpha.com/) to deepen their understanding.

#### Textbook

James Stewart (2012). *Calculus: Early Transcendentals*, International Metric Edition, Seventh Edition. Brooks/Cole, Cengage Learnning.

Published in China as 《微积分（第7版）（上册）影印版》, James Stewart, 高等教育出版社, ISBN: 978-7-04-039620-1.

#### Topics to be Covered

Chapter 1: Functions and Models

Chapter 2: Limits and Derivatives

Chapter 3: Differentiation Rules

Chapter 4: Applications of Differentiation

#### Grading

Attendance: 10%

Assignments: 10% (5 times)

Mid-term exam: 20%

Final exam: 60%

#### Schedule

The course has lecture classes and tutorial classes, where in the former we focus on understanding concepts and methods, and in the latter the purpose is how to solve problems. Take-home exercises will be assigned before each tutorial and will be explained during the tutorial. Students must hand in their answers at the beginning of each tutorial class. Answers will be marked, and the best five scores will be recorded as assignments grades.

Tuesday | Friday | |||

Week 1 | Mar 5 | Course info and diagnostic test | Mar 8 | Introduction |

Week 2 | Mar 12 | Lecture 1-1 | Mar 15 | Lecture 1-2 |

Week 3 | Mar 19 | Lecture 1-3 | Mar 22 | Lecture 1-4 |

Week 4 | Mar 26 | Tutorial 1 |
Mar 29 | Lecture 2-1 |

Week 5 | Apr 2 | Lecture 2-2 | Apr 5 | No class |

Week 6 | Apr 9 | Lecture 2-3 | Apr 12 | Tutorial 2 |

Week 7 | Apr 16 | Lecture 3-1 | Apr 19 | Lecture 3-2 |

Week 8 | Apr 23 | Lecture 3-3 | Apr 26 | Tutorial 3 |

Week 9 | Apr 30 | No class |
Apr 28 |
Mid-term exam |

Week 10 | May 7 | Lecture 4-1 | May 10 | Lecture 4-2 |

Week 11 | May 14 | Lecture 4-3 | May 17 | Review |

Week 12 | May 21 | Tutorial 4 |
May 24 | Lecture 5-1 |

Week 13 | May 28 | Lecture 5-2 | May 31 | Lecture 5-3 |

Week 14 | Jun 4 | Tutorial 5 |
Jun 7 | No class |

Week 15 | Jun 11 | Lecture 6-1 | Jun 14 | Lecture 6-2 |

Week 16 | Jun 18 | Tutorial 6 |
Jun 21 | Review |

Week 17 | Jun 25 | Final exam |
Jun 28 | No class |

*Since the spring holiday of Shenzhen University is not officially announced, this schedule is subject to change. Usually the holiday takes place on the first week of May.*

*This schedule was revised on Mar 18.*

*This schedule was revised on May 13.*

**Diagnostic test**: algebra, analytic geometry, functions.

**Introduction**: the preview section

**Lecture 1-1**: 1.1

**Lecture 1-2**: 1.2, 1.3

**Lecture 1-3**: 1.5

**Lecture 1-4**: 1.6

**Lecture 2-1**: 2.1, 2.2

**Lecture 2-2**: 2.3, (2.4)

**Lecture 2-3**: 2.5

**Lecture 3-1**: 2.6

**Lecture 3-2**: 2.7

**Lecture 3-3**: 2.8

**Lecture 4-1**: 3.1

**Lecture 4-2**: 3.2

**Lecture 4-3**: 3.4

**Lecture 5-1**: 3.5

**Lecture 5-2**: 3.6

**Lecture 5-3**: 3.7, 3.8

**Lecture 6-1**: 4.1, 4.2

**Lecture 6-2**: 4.3

#### Take-home Exercises

**Lecture 1 (due on March 22 → 26)**:

- Section 1.1: Exercises 3, 25, 38
- Section 1.2: Exercises 3, 8, 16
- Section 1.3: Exercises 5, 31
- Section 1.5: Exercises 1, 2, 3, 4
- Section 1.6: Exercises 21, 25, 26, 35

**Lecture 2 (due on April 12)**:

- Section 2.2: Exercises 4, 8, 11, 29, 31
- Section 2.3: Exercises 2(a,e), 4, 9, 10, 37, 48, 55
- Section 2.5: Exercises 3, 4, 14, 39, 56(a)

**Lecture 3 (due on April 26)**:

- Section 2.6: Exercises 2, 13, 17, 27, 35, 59
- Section 2.7: Exercises 5, 9(a,b), 29, 32, 45
- Section 2.8: Exercises 3, 6, 11, 17, 18, 25

**Lecture 4 (due on May 17)**:

- Section 3.1: Exercises 7, 10, 14, 19, 27, 51
- Section 3.2: Exercises 1, 2, 3, 16
- Section 3.4: Exercises 2, 3, 5, 6

**Lecture 5 (due on June 4)**:

- Section 3.5: 1, 3, 10
- Section 3.6: 2, 11, 39, 46
- Section 3.7: 32, 33
- Section 3.8: 18(a), 20

**Lecture 6 (due on June 18)**:

- Section 4.1: 31, 35, 43, 48, 61
- Section 4.2: 5, 13, 15
- Section 4.3: 10, 36, 42