**MATH 32A-1-Differential and Integral Calculus-Winter
2019-UCLA**

**Lecture:** MWF, 10:00am-10:50am, at Broad Art Center Room 2160E.

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

**Office Hours:** M 2:00pm-5:00pm, or e-mail me to make an appointment.

**Teaching assistant:** Fei Feng(florencefengfei-at-gmail.com), Derek Levinson (djlevins-at-math.ucla.edu), Christopher Strohmeier (tophythetoaster-at-ucla.edu)

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

**Description. ** This course introduce differential calculus of multivariable functions.

**Schedule.**

Weeks |
Sections | Topics |

1 |
13.1-13.2 | Introduction, Vectors |

2 |
13.3-13.5 | Products, Planes in 3-space |

3 |
12.1, 14.1-14.2 | Vector-valued functions |

4 |
14.3,14.4 | Midterm 1, Arc length, curvature |

5 |
14.5,14.6 | Motion, |

6 |
15.1-15.2 | Functions of multivariable, limit and continuity |

7 |
15.3 | Midterm 2, partial derivatives |

8 |
15.4-15.5 | Differentiability, tangent planes, gradient |

9 |
15.5-15.6 | directional derivatives, chain rule |

10 |
15.7 | Optimization |

**Holidays: **

- Martin Luther King, Jr, holiday, Monday, January 21

- Presidents’ Day holiday, Monday, February 18

**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 two scores are dropped from the computation of your grade.

**Exam Dates:**

- Midterm 1: Wednesday of week 4, Jan 30, ** **

- Midterm 2: Wednesday of week 7, Feb 20,** **

-Cumulative Final Exam: Tuesday, Mar 19, 8:00am-11:00pm.

**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.