MATH 120b, Spring 1998


On this page:
Course News
Solutions to Homework Assignments
Sections
Mathematica Tutorial Sessions
Syllabus:
information about the text book
how grades will be determined
policies about homework
when the exams will be held
the weekly reading assignments
the weekly homework assignments
Office hours and help sessions

Course News

The final exam will be held on Wednesday, May 6, at 9 AM in SSS 114.


Solutions to Homework Assignments
HW #2
HW #3
HW #4
Mathematica Assignment #1
HW #5
HW #6
HW #7
HW #8
HW #9
HW #10
HW #11
HW #12


Sections:
Section 1: MWF 9:30-10:20, LOM 215
Section 2: MWF 10:30-11:20, LOM 215
Section 3: MWF 11:30-12:20, LOM 214
Section 4: TTh 9:00-10:15, LOM 205
Section 5: TTh 9:00-10:15, LOM 214
Section 6: TTh 11:30-12:45, LOM 214

Mathematica Tutorial Session:

In addition to weekly homework assignments, students in Math 120b will be required to complete an assignment using the computer software package Mathematica. Furthermore, Mathematica can be used in order quickly to check the correctness of many of the written homework assignments as well as assisting with many other problems from the text.
All students are asked to attend a tutorial demonstration course which will provide an introduction to using Mathematica. The tutorial sessions will be held in 207 Phelps Hall. The following schedule lists the times of the tutorial sessions for all sections of Math 120b.


COURSE SYLLABUS

Text:

The course will cover chapters 11 through 14, possibly omitting a few sections, of the text Multivariable Calculus, third edition by James Stewart.

Grades:

There will be two midterm exams which will be common to all sections and which will count for 40% of the grade, and one final exam, which will count for 50% of the grade. Weekly homework assignments will make up the remaining 10% of the grade.

Homework:

Homework assignments will be given weekly and turned in during the first lecture period of each week (either Monday or Tuesday). In addition, Mathematica Assignment 1 will be due Monday/Tuesday February 2/3. The OPTIONAL Mathematica Adventure II, if you choose to do it, is due the last day of class.
NO LATE HOMEWORK WILL BE ACCEPTED FOR ANY REASON.

Midterm Exams:

The midterms for all sections will be held at the following times: Make-up exams will be scheduled when a Dean's excuse has been provided. NO MAKE-UP EXAMS WILL BE GIVEN WITHOUT A DEAN'S EXCUSE.

Office Hours and Help Sessions:

Office hours for each section will be announced, as well as the time and location of additional help sessions.

Reading Assignments:

The following is a list of reading assignments. It is strongly suggested that all reading assignments be completed prior to lectures on the material.
Week 1, January 12
Sec. 11.1-11.6: Vectors; dot products; cross products; equations of lines, planes, and surfaces.
Week 2, January 19
Sec. 11.7-11.9: Vector-valued functions; arc length and curvature; velocity and acceleration.
Week 3, January 26
Sec. 12.1-12-4: Functions of several variables; limits and continuity; partial derivatives, tangent planes; linear approximation.
Week 4, February 2
Sec. 12.5-12.8: Chain rule; directional derivatives; gradients; maximum and minimum problems.
Week 5, February 9
Sec. 12.8, 13.1-13.3: Lagrange multipliers; double integrals. Review for Exam 1.

*** EXAM #1: February 16, 1998, 7:00-8:15 PM ***

Week 6, February 16
Sec. 13.3-13.6: Iterated integrals, polar coordinates; applications of double integrals.
Week 7, February 23
Sec. 11.10, 13.6-13.9: Surface area; triple integrals; spherical and cylindrical coordinates; examples.
Week 8, March 2
Sec. 13.9, 14.1. Change of variables in multiple integrals; applications; vector fields.
Week 9, March 23
Sec. 14.2-14.3: Line integrals; fundamental theorem for line integrals.
Week 10, March 30
Sec. 14.4-14.6: Green's Theorem; curl and divergence; parametric surfaces and surface area.

*** EXAM #2: April 6, 1998, 7:00-8:15 PM ***

Week 11, April 6
Sec. 14.7-14.9: Surface integrals; Stoke's Theorem; divergence theorem.
Week 12, April 13
Sec. 14.9-14.10: Divergence theorem; applications of vector calculus; review for the final exam.
Week 13, April 20
Review.

PROBLEM SET #1

Due Week of 1/19

PROBLEM SET #2

Due Week of 1/27

PROBLEM SET #3

Due Week of 2/3

PROBLEM SET #4

Due Week of 2/10

PROBLEM SET #5

Due Week of 2/17

PROBLEM SET #6

Due Week of 2/24

PROBLEM SET #7

Due Week of 3/3

PROBLEM SET #8

Due Week of 3/24

PROBLEM SET #9

Due Week of 3/31

PROBLEM SET #10

Due Week of 4/7

PROBLEM SET #11

Due Week of 4/14
Webmaster: Karin Rabe