Syllabus for Math 311 - NUEN
Topics covered: Matrices, determinants, systems of linear
equations, eigenvalues, eigenvectors, diagonalization of symmetric
matrices, inner product spaces, orthogonal functions, Bessel
functions, and applications.
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.
Math 311-NUEN: 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, series solutions to ODEs
Sections 3.7C, 14.6, 14.7
Week 11 Bessel's equation, Fourier series
Sections 14.7 (problem #7,#8), 14.8A, 14.8B
Week 12 Fourier series
Sections 14.8C, 14.9
Week 13 Separation of variables - heat equation
Sections 14.10 (Thanksgiving comes on this week in the
fall.)
Week 14 Wave equation, catch up
Section 14.10C
Week 15 Review for Final.
Updated 8/26/04 (fjn).