Syllabus for MATH 311_506, Fall 2004

Instructor:	Dr. Ronald G. Douglas, Milner 231
	Phone: 845-7241
	Email: rgd@tamu.edu

Office hours: TW 2:00-3:00, or by appointment.

Class time and place: TR 12:45-2:00, ZACH 105D

Section web page: http://www.math.tamu.edu/~rdouglas/math311.html weekly schedule suggested homeworks problems

Topics covered: Matrices, determinants, systems of linear equations, eigenvalues, eigenvectors, diagonalization of symmetric matrices. Vector analysis, including normal derivative, gradient, divergence, curl, line and surface integrals, Stokes's and Gauss's, Green's theorems.

Prerequisite: MATH 221, 251 or 253; MATH 308 or concurrent enrollment therein.

Text: Richard E. Williamson and Hale F. Trotter, Multivariable Mathematics, 4th ed., Prentice-Hall, Englewood Cliffs, NJ, 2004.

Evaluation:

   1. Quizzes 20%
   2. Test I 25%
   3. Test II 25%
   4. Final Exam 30%

Test dates:

    Quizzes -- Every week on Thursdays from homework problems for previous week
    Test I     -- See the weekly schedule
    Test II    -- See the weekly schedule
    Final Examination -- December 15, Wednesday, 8-10 am

Attendance and Make-up Policy: Class attendance is required. Make-ups for tests (or satisfactory equivalents) will be given only in cases authorized under TAMU Regulations. In borderline cases, your I will decide whether or not the excuse is authorized. Also, if you miss a test, contact me immediately.

There will be no make-ups for quizzes, but I will drop the two lowest quiz scores.

All printed hand-outs and web materials are protected by US Copyright Laws. No multiple copies can be made without my written permission.

Scholastic Dishonesty: Students may work together and discuss the homework problems with each other. Copying work done by others is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. For more information on university policies regarding scholastic dishonesty, see University Student Rules and the Aggie Honor Code: "An Aggie does not lie, cheat, or steal or tolerate those who do." For more information see the Honor Council Rules and Procedures on the web at http://www.tamu.edu/aggiehonor

Students with Disabilities: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Services for Students with Disabilities, Koldus 126, 845-1637.

MATH 311: Weekly Schedule

Week 1 Vectors
Sections 1.1-1.4, 1.6.

Week 2 Equations and matrices
Sections 2.1A, 2.2, 2.3

Week 3 Matrices and determinants
Sections 2.3, 2.4, 2.5

Week 4 Linear transformations on Rⁿ. Review for Test 1 .
Sections 2.5, 3.1

Week 5 Test 1, Vector spaces, linear transformations.
Sections 3.2, 3.3

Week 6 Linear transformations, image and null space.
Sections 3.3, 3.4.

Week 7 Coordinates and dimension. (Bases, linear independence, linear dependence, change of coordinates)
Section 3.5A-3.5C, 3.6C.

Week 8 Eigenvalues and eigenvectors, diagonalization
Section 3.6A, 3.6B.

Week 9 Inner products, orthogonal bases. Review for Test 2.
Section 3.7A, 3.7B. (Assign problems #12-17 on symmetric matrices.)

Week 10 Test 2. Rotations, parametric curves and surfaces, directional derivative & gradient.
Sections 3.7C, 4.1A, 4.4A, 5.3

Week 11 Derivative (Jacobian) matrix, chain rule (matrix version), curvilinear coordinates, change of variables,
Sections 5.4, 6.2, 6.5D, 7.4D (Jacobi's Theorem)

Week 12 Green's Theorem, conservative fields
Sections 9.1, 9.2

Week 13 Surface integrals, Gauss's Theorem.
9.3, 9.4 (Thanksgiving comes on this week in the fall.)

Week 14 Stokes's Theorem, catch up
Sections 9.4, 9.5.

Week 15 Review for Final