MATH 32B (Lecture 2) UCLA Winter 2008

MWF 11:00 AM - 11:50 AM Location: 5200 Math Sciences

Professor: Jonathan Rogawski

Office: Math Sciences 6909

Phone: (310) 825-4048

E-mail: math32b@gmail.com

  

Course information, handouts, and solutions to exams will be posted on the web page.

 

Topics: The course begins with integration in several variables with an emphasis on (a) the definition of the integral

as a limit of sums, (b) setting up and evaluating integrals over domains in R2  and R3.   The rest of the course is

devoted to vector analysis.  We will define surface integrals of both functions and vector fields and study their properties. 

Then we will study the three main theorems of vector analysis (Green’s, Stokes’, and the Divergence Theorems).  These theorems, which are generalizations of the Fundamental Theorem of Calculus, play a fundamental role in physics and engineering (electromagnetism, Maxwell’s equations,

fluid dynamics, aerodynamics).

Text: Multivariable Calculus by J. Rogawski (1st Edition)  Publisher’s Information

Grading: Grades will be based on:

2 exams (total 40% - see below) + final exam (45%) + homework (15%)

The possible grades are A - F, with plusses and minuses in grades A, B, C. Grades A and B will be assigned in roughly the following percentages: 25% A's, 31% B's.

Exam I: Wednesday, February 6, 5:00 PM – 6:30 PM

Exam II: Wednesday, February 27  5:00 PM – 6:30 PM

Final Examination: Thursday, March 20 , 3:00 PM – 6:00 PM

THERE WILL BE NO MAKE-UP EXAMS. PLEASE MAKE SURE YOU CAN TO ATTEND BOTH EXAMS AND THE FINAL EXAM.

Grades:  40% of your grade is based on the 2 exams, to be calculated as follows. The lower of the two scores will count 15% and the higher of the two scores will count 25%. Furthermore, your two lowest homework scores will be dropped.

THERE WILL BE NO MAKE-UP EXAMS. PLEASE MAKE SURE YOU CAN TO ATTEND BOTH EXAMS AND THE FINAL EXAM.

·         Solutions to exams will be posted on the web page immediately following the exam.

·         No calculators, books, or notes are permitted in exams.

·         You must bring your student ID to all exams

HOMEWORK: There will 10 homework assignments, graded on a 10 point scale. Three problems (chosen by the instructor) will be graded for 2 points each, and 4 points will be given for completeness of your work. Each week you will turn in the HW assignments of the previous week to your TA, no later than Thursday at 5 PM. Example: HW 1 is due no later than Thursday (Jan. 17) of Week 2. HW must be handed to your TA during the TA Session or placed under his/her office door. No late HW will be accepted under any circumstances. HW must be stapled and clearly labeled with your name, ID, and TA session.