### FALL SEMESTER 2008

The final examination is scheduled for Monday, December 15 2008, 9:45-11:45 A.M. in 205 MLH.

News

Homework Assignments

#### GENERAL INFORMATION

Syllabus
Textbook: Elementary Linear Algebra with Applications by H. Anton and C. Rorers, 9th Edition.
Office Hours: Thursday 10:30 A.M.-12:20 P.M. and Friday 11:30 A.M.-12:20 P.M.
Office: 325 J
Phone: (319) 335-3873

NEWS

### You may not use cell phones, or other electronic devices during the exams.

The Second Midterm will be held on Thursday, November 20, in class. The test will cover Chapters 4, 5, and 6.

You may bring in one sheet of notes (one paper, 8.5" x 11.5", both sides) and a basic calculator (non-graphing, without symbolic calculation)

The First Midterm will be held on Thursday, October 9, in class. The test will cover Chapters 1, 2, and 3.

You may bring in one sheet of notes (one paper, 8.5" x 11.5", both sides) and a basic calculator (non-graphing, without symbolic calculation)

HOMEWORK ASSIGNMENTS

Homework 1 due 9/8:  Sect. 1.1. Ex.2, 14; Sect. 1.2. Ex.2, 5(c, d), 6(b, d), 7(b, d), 10(b), 11(b), 14(c), 18.

Homework 2 due 9/15:  Sect. 1.3. Ex. 4(a,c), 5(a,g), 7(b,d), 13(a) 14(a), 17(b); Sect. 1.5. Ex. 2 (all), 7(b, d); Sect. 1.6. Ex. 2, 4, 12.

Homework 3 due 9/22:  Sect. 1.7. Ex. 1(a,bc), 2(b), 3(a), 5(b); Sect. 2.1. Ex. 2 (b),6, 12, 18; Sect. 2.2. Ex. 2(b,c), 6, Sect. 2.3. Ex. 4(b).

Homework 4 due 9/29:  Sect. 3.1. Ex. 3(b), 4(a), 12(a,b,c), 21(all); Sect. 3.2. Ex. 2 (c), 9(c); Sect. 3.3. Ex. 1(d), 4(c), 6(c), 12, 17(c).

Homework 5 due 10/06:  Sect. 3.4. Ex. 2(a), 3(b), 4(a), 18(a), 9(a,b,c), 10(a); Sect. 3.5. Ex. 1 (c), 2(c), 4(b),  5(b),6(a), 7(b), 9(a), 10(b), 39(a), 40 (a).

Homework 6 due 10/13:  Sect. 4.1. Ex.  3, 4, 5(c), 6(c,e), 9(c), 10(a), 11(a), 14(e), 17(d), 23, 35(a); Sect. 4.2. Ex. 1 (b), 3, 5(a), 6(b), 9(a), 10(a), 12(b).

Homework 7 due 10/20:  Sect. 4.3. Ex.  1(a,b,c,d), 2(a), 4, 6(a), 9(a), 10(a), 13(a,b), 14(a), 16(c); Sect. 5.1. Ex. 6 , 10, 13.

Homework 8 due 10/27:  Sect. 5.2. Ex.  1(d,e), 2(all), 3(b), 7(b,d), 9(b), 10(a,b), 11(b,d); Sect. 5.3. Ex. 1(all) , 2(all), 4(b,c,d), 5(b), 6(a, b).

Homework 9 due 11/03:  Sect. 5.4. Ex.  1(all), 3(b),  4(a), 7(c), 9(b), 10(a), 11, 12, 18(a,c); Sect. 5.5. Ex. 2(b), 3(a) , 5(b), 6(a, b), 8(a,b), 9(a, b), 10(a, b).

Homework 10 due 11/10:  Sect. 5.6. Ex. 2(d), 5(all); Sect. 6.1 Ex. 3(b),  4(a), 7(b), 9(d), 10(all), 12(a), 14, 18(a); Sect. 6.2. Ex. 6(a), 8(a), 9(a, b), 14, 15(c), 16, 18(c).

Homework 11 due 11/19:  Sect. 6.3. Ex. 3(a,b), 4(a,b), 6(a), 8, 10(a), 11(b), 12(a,b), 17(b), 24(d,e) ; Sect. 6.5. Ex. 8(all), 10(all); Sect. 6.6. 3(d,f), 6(a,b).

Homework 12 due 12/10:  Sect. 6.4. 3(b,d), 4(a); Sect. 7.1.3. Ex. 1(d,f), 2(d,f), 3(d,f), 4(a), 5(a), 6(a), 12; Sect. 7.2. Ex. 8, 11, 14, 18.

DAILY SYLLABUS

 Week Monday Wednesday Thursday Friday 1 8/25 1.1. Introduction 8/27 1.2 Gaussian Elimination 8/28 1.2 Gaussian Elimination (cont.) 8/29 Practice Quiz 2 9/1 NO CLASS! 9/3 1.3 Matrices and Matrix Operations 9/4 1.3, 1.4 Matrix Multiplication (cont.) 9/5 1.5  Inverse Matrix Quiz 3 9/8 1.5 Finding the Inverse of a Matrix 9/10 1.5, 1.6 Invertible Matrix Theorem 9/11 1.7 Diagonal, Triangular and Symmetric matrices 9/12 Chaper 1 Review Quiz 4 9/15 2.1-2.3 Determinants 9/17 2.1(cont.) Applications of Determinants: Finding matrix Inverse 9/18 2.1(cont.) Applications of Determinants: Cramer's rule 9/19 2.4 Combinatorial Approach to Determinants Quiz 5 9/22 3.1, 3.2 Vectors 9/24 3.3 Dot Product; Projections 9/19 3.4 Cross product 9/26 3.4 (cont.) Quiz 6 9/29 3.5 Lines and Planes 10/1 3.5 (cont.) 10/2 4.1 Euclidean n-space 10/3 Introduction to Matlab (lecture1.m) Quiz 7 10/6 4.2 Linear Transformations 10/8 Ch. 1,2,3 Review 10/9 Midterm I 10/10 4.2 (cont.) Examples  of Linear Transformations 8 10/13 4.3 The Standard Matrix  of a Linear Transformations 10/15 Ch. 4 Review 10/16 5.1 Vector Spaces 10/17 5.2 Vector Subspaces Quiz 9 10/20 5.2 Linear Combinations; Span. 10/22 5.3 Linear Independence 10/23 5.4 Basis, Dimensions 10/24 Basis (cont.) Quiz 10 10/27 Review 10/29 5.5 Fundamental Spaces 10/30 5.5 (cont.) 10/31 5.6 Rank and nullity Quiz 11 11/3 6.1 Inner product 11/5 6.2 Angle, Orthogonality 11/6 6.3 Orthoganal and Orthonormal Bases, 11/7 6.3 Gram-Schmidt Quiz 12 11/10 6.3 Gram-Schmidt QR-factorization 11/12 6.5 Change of Basis 11/13 6.6 Orthogonal Matrices 11/14 Quiz 13 11/17 Review 11/19 Review 11/20 Midterm 2 11/21 Least-square 14 12/1 Midterm2 Review 12/3 Eigenvalues, Eigenvectors 12/4 Diagonalization 12/5 Diagonalization (cont.) Quiz 15 12/8 Orthogonal diagonalization 12/10 LU-decomposition 12/11 Review Quiz 12/12 Review