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Basic Information
This is a course info page for Math 251 section F6. The lecture meets MWF from 6:00 to 8:45 PM in Tillett 110 on Livingston Campus. The text for the course is Calculus: Early Transcendentals 5th edition by James Stewart.
We will only be using volume 2 of this book, that is: Multivariable Calculus: Early Transcendentals, vol 2. 5th edition by James Stewart. To make things even more confusing, there is a version of this book entitled Multivariable Calculus 5th edition by James Stewart, which is identical to vol 2., except the chapter numbers are changed. Any of these books will work for this course.
Course Policies
Each class there will be a homework quiz which will consist of problems taken, either directly from, or similar to, the homework problems. Because of the accelerated summer school schedule, missing even one class will jeopardize your final grade. You are responsible for any material you miss because of absence. If you know in advance that you will be missing a class, please come see me beforehand.
Homework Quizzes
Each class there will be a set of homework problems which you are expected to complete. The homework will not be collected. Instead there will be a homework quiz given during the class. There will be no make-up quizzes, however, the lowest two quiz grades will be dropped. You can find the homework assignments for each section by clicking here.
Maple Labs
There will be several Maple labs for this course. For the first lab, we will spend part of the class in the computer lab in Tillet hall. After the first lab, you will be expected to complete the Maple labs as homework, and turn in a printed copy in class. All of the computer labs on campus have Maple available.
Tentative Syllabus
| Lecture |
Date |
Section(s) |
Notes |
| 1 |
6/26 |
12.1
12.2
12.3 |
Three dimensional coordinate systems.
Vectors.
The dot product. |
| 2 |
6/28 |
12.4
12.5 |
The cross product.
Equations of lines and planes. |
| 3 |
6/30 |
13.1
13.2
|
Vector functions and space curves.
Derivatives and integrals of vector functions.
Maple lab 0 (in class). |
| 4 |
7/3 |
|
special |
| 5 |
7/5 |
13.3
13.4
14.1 |
Arc length and curvature.
Motion in space: veloctiy and acceleration (to Kepler's laws).
Functions of several variables. |
| 6 |
7/7 |
14.1
14.2
14.3 |
Functions of several variables - con'd.
Limits and continuity.
Partial derivatives. |
| 7 |
7/10 |
14.4
14.5 |
Tangent planes and linear approximations.
The chain rule. |
| 8 |
7/12 |
14.5
14.6 |
The chain rule - con'd.
Directional derivatives and the gradient vector. |
| 9 |
7/14 |
14.6
14.7 |
Directional derivatives and the gradient vector - con'd.
Maximum and minimum values. |
| 10 |
7/17 |
|
FIRST IN-CLASS 80-MINUTE EXAM.
|
| 11 |
7/19 |
14.8
15.1
15.2 |
Lagrange multipliers
Double integrals over rectangles.
Iterated integrals. |
| 12 |
7/21 |
15.3
15.4 |
Double integrals over general regions.
Double integrals in polar coordinates.
|
| 13 |
7/24 |
15.9
15.7 |
Change of variables in multiple integrals (double integrals only).
Triple integrals.
|
| 14 |
7/26 |
12.7
15.8 |
Cylindrical and spherical coordinates.
Triple integrals in cylindrical and spherical coordinates.
|
| 15 |
7/28 |
16.1
16.2 |
Vector fields.
Line integrals.
|
| 16 |
7/31 |
16.2
16.3 |
Line integrals - con'd.
The fundamental theorem of line integrals.
|
| 17 |
8/2 |
|
SECOND IN-CLASS 80-MINUTE EXAM.
|
| 18 |
8/4 |
16.3
16.4 |
The fundamental theorem of line integrals - con'd.
Green's theorem.
|
| 19 |
8/7 |
16.5
15.6 |
Curl and divergence.
Surface area.
|
| 20 |
8/9 |
16.6
16.7 |
Parametric surfaces and their areas.
Surface integrals.
|
| 21 |
8/11 |
16.8
16.9 |
Stokes theorem.
The divergence theorem.
|
| 22 |
8/14 |
16.9
16.10 |
The divergence theorem - con'd.
Summary.
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| 23 |
8/16 |
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FINAL EXAM
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