**MATH 31A-2-Differential and Integral Calculus-Winter
2018-UCLA**

**Lecture:** MWF, 2:00pm-2:50pm, at Franz Hall 1178 .

**Professor:** Wenhao Ou (wenhaoou-at-math.ucla.edu, MS 5346).

**Office Hours:** M 3:00pm-5:00pm, W 3:00pm-4:00pm, or e-mail me to make an appointment.

**Teaching assistant:** Alex Frederick (afrederick753-at-math.ucla.edu, MS 5343), Yudong Qiu (yudong.qiu-at-math.ucla.edu, MS 2954)

**Textbooks: **Jon Rogawski and Colin Adams, *Calculus: Single Variable. Third Edition*.

**Description. **This is the first course in diffenrential and integral calculus. We will firstintroduce the notion of limits. Then we will focus on computation of derivatives. In theend, we will define integrations and look at some simple cases. More on integrations will bestudied in the course Math 31B.

**Schedule.** In the first two parts of the course, we will first define limits, trigonometricfunctions, and derivatives., and then focus on calculus of derivatives. In the last part, wewill look at some simple integrals.

Weeks |
Sections | Topics |

1 |
2.3-2.7 | Introduction, Limits |

2 |
2.8, 3.1, 3.2 | Intermediate Value Theorem, Derivatives |

3 |
3.3-3.7 | Calculus of Derivatives |

4 |
3.8, 3.9 | Midterm 1, Calculus of Derivatives continued |

5 |
4.1-4.3 | Linear Approximation, Extreme Values, Mean Valie Theorem |

6 |
4.4-4.6 | Graphe Sketching, More Applications of the Derivative |

7 |
5.1-5.3 | Midterm 2, Introduction to Integral |

8 |
5.4, 5.5 | Fundamental Theorem of Calculus |

9 |
5.7 | Calculus of Integral, Substitution Method |

10 |
6.1-6.3 | Areas and Volumes |

**Holidays: **

- Martin Luther King, Jr, holiday, Monday, January 15.

- Presidents’ Day holiday, Monday, February 19

**Homework.** Homework is assigned weekly and collected at the begining of the class onWednesday. Homework exercises are picked from the textbook. There is no make-up homework. The lowest score is dropped from the computation of your grade.

**Exam Dates:**

- Midterm 1: Monday of week 4, Jan 29, 2:00pm-2:50pm.

- Midterm 2: Wednesday of week 7, Feb 21, 2:00pm-2:50pm.

-Cumulative Final Exam: Monday, Mar 19, 11:30am-2:30pm.

**Grading.** For homework and exams, we will use centesimal system. In the end, we will calculate a “pre-final grade” by using the following two methods, and only the higher output will count.

- 10% Homework + 30% Best of the two midterms + 60%Final Exam.

- 10% Homework + 25% Midterm 1 + 25% Midterm 2 + 40% Final Exam.

**For the final grade we will use ABC system. It depends only on the rank of your pre-final grade in the class. Roughly, the first 25% of the class will get an A (including A+, A and A-), the second 50% will get a B (including B+, B and B-) and the last 25% will get a C or lower (including C+, C , C- and D).**

**Academic integrity.** Please review the regulations at the following website: http://www.deanofstudents.ucla.edu/Student-Conduct

**Notes.**

- Textbooks, Calculators, laptops and cell phones are prohibited during the Midterms and the Final Exam.

- There will be no make-up test. A missed test will count for a zero for that test.

- Students may work together to solve homework problems, but each student must write down his/her own solutions on separate copy. One should also write down the names of his/her collaborators.

- Exam grading complaint should be submitted to the instructor, no later than two weeks after the exam, and before the last lecture.