CATALOG DESCRIPTION: See catalog description here
Instructor: Dr. Eric
Rowell
Topics covered: Matrices, determinants, systems of linear equations, eigenvalues, eigenvectors, diagonalization of symmetric matrices, inner product spaces, and other topics as time permits.
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,
· Week 1 Vectors, Vector spaces HW:
Read Sections 1.1-1.5, do: 1.1#14; 1.2#7,10; 1.3#3,18; 1.4#4,8; 1.5#13,19. (Due Friday, Jan. 30).
Sections 1.1-1.5
· Week 2 Equations
and matrices . HW: 2.1A#5,9,12; 2.2C#2,4,28;
2.2D#2,11(see errata link above); 2.3#6,10,17,40,48.
Sections 2.1A, 2.2, 2.3
· Week 3 Matrices
and determinants.HW: 2.4C#8,9,11,29; 2.5E#5,8,17,24
2.Rev.#33,38,41
Sections 2.3, 2.4, 2.5
· Week 4 Linear transformations on Rn. HW: pg. 110#4,8,12; pg. 118#8,9,13,26
Sections 3.1,3.2
· Week 5 vector spaces, linear transformations.HW: pg.
125#6,7,8,11,15,20,24.
Sections 3.2, 3.3
· Week 6 Exam I Friday February 27th Linear
transformations, image and null space. HW:pg130-131#3,5,7,10,11,13,18 (due 3/6)
Sections 3.3, 3.4.
· Week 7
Coordinates and dimension.HW: pg. 137-138# 3,8,10,27,35,40; (due 3/13)
Section 3.5B,
· Week 8 Eigenvalues and eigenvectors, diagonalization HW: pg. 142#1,3,4,8a,13a, pg.
148#1,3,5,6,8,15. (due 3/27)
Sections 3.5C,3.6A-
· Week 9 diagonalization review for exam. HW: pg. 154#2,3,15,16,19,21
Sections 3.6B,3.6C
· Week 10 Exam II: Wednesday April 1st (no joke). (Last day to Q-drop: Monday April 6th, 5PM).HW: pg.
158#1,3,4,8,13
· Week 11 Gram-Schmidt, symmetric matrices. Inner products, orthogonal bases HW: pg. 167#2,3,4,8,12 pg. 172#22 (due Friday, 4/17)
Section , 3.7A, 3.7B.3.7BC
· Week 12 Symmetric and orthogonal matrices, series sol'ns to diff. eqs.handout HW 1-8 on handout. solutions
· Week 13 Fourier series. series solutions to ODEs. HW: pg. 698#3,6,7, pg. 705 #2,5.pg. 713 #3,5,9,23 (not to be turned in)
· Week 14 Exam III Friday May 1st.
· Week 15 Dead week, study for your other finals!