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, orthogonal functions and series solutions to differential equations.
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 HW:
1.1#14; 1.2#7,10; 1.3#3,18; 1.4#4,8; 1.5#13,19.
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 Test 1
Tuesday, vector spaces, linear transformations. HW: pg.
125#6,7,8,11,15,20,24.
Sections 3.2, 3.3
· Week 6 Linear
transformations, image and null space. HW:
pg130-131#3,5,7,10,11,13,18, pg. 137-138# 3,8,10,27,35.
Sections 3.3, 3.4.
· Week 7
Coordinates and dimension. HW: pg. 138#40; pg. 142#1,3,4,8a,13a, pg.
148#1,3,5,6,8.
Section 3.5, 3.6A.
· Week 8 Eigenvalues and eigenvectors, diagonalization HW: pg. 154#2,3,15,16,19,21, pg.
148 #15.17.
Sections 3.6A- 3.6C.
· Week 9 Inner
products, orthogonal bases. Review for Test 2. HW: pg.
158#1,3,4; pg. 171-172#3,11,22a
Sections 3.7A, 3.7B.
· Week 10 Test 2
Tuesday Oct. 31 (Last day to Q-drop: Friday Nov. 3rd 5PM).
Section 3.7bC
· Week 11 Gram-Schmidt, symmetric matrices. HW: pg. 167#2,3,8,12, Handout exercises 1,2,3,4
· Week 12 difference equations, series sol'ns to diff. eqs.. HW Handout2 exercises 1,2,3,4. pg. 698#3,6,7, pg. 704 #2,5,7. This week's HW will be combined with Week 13's HW and due Thursday of Week 14.
· Week 13 TBD (Thanksgiving holiday-no class Thursday)
· Week 14 Fourier series. HW: pg. 713 #3,5,9,23.
· Week 15 Review for Final.