Sections I am teaching:
MA-26500-033, 2:30-3:30 MWF, UNIV 219.
MA-26500-146, 3:30-4:30 MWF, UNIV 219.
My office hours: 4:30 p.m. to 5:30 p.m. on Mondays, and 2:30 to 4:30 p.m. on Thursdays.
Click here for the course Webpage applicable to all sections of MA 26500.
Course Syllabus (for the two sections that I am teaching).
Homework: Is due in class every Monday. Click here for the problem list for the entire semester.
Weekly Schedule: Announcements about homework, exams, special lectures, etc., will be posted here.
Week 1. (Week of August 21st)
L1 (08/21): Systems of linear equations. (Sec. 1.1: 1, 2, 4, 6, 10, 14, 16, 22. Matlab 1.1: 1, 2, 3 4.)
L2 (08/23): Matrices. (Sec. 1.2: 4, 6, 8, 10.)
L3 (08/25): Matrix multiplication. (Sec. 1.3: 12, 14, 16, 18, 19, 26, 28*, 30.)
Week 2. (Week of August 28th.)
L4 (08/28): Homework 1 (Book 1.3: 28; and Matlab 1.1: 1, 2, 3, 4) is due in class.
Algebraic properties of matrix operations. (Sec 1.4: 3*, 8, 10, 12, 22, 32)
Special matrices. (Sec 1.5: 16, 30, 32, 35, 36.)
Matlab: 3.1: 1, 2, 5.
L5 (08/30): Echelon form of a matrix. (Sec 2.1: 2, 6, 8, 10*, 12.)
L6 (09/01): Solving linear systems via Gauss Elimination or Gauss-Jordan reduction.
(Sec 2.2: 4, 6, 8, 10, 12, 14, 16, 20, 22, 26.)
Matlab: 4.2: 2, 3, and 4.3: 1, 2.
Week 3. (Week of September 4th.)
(09/04): Labor Day. No classes.
L7 (09/06): Homework 2 (Book 1.4: 3; 2.1: 10, and Matlab 3.1: 1, 2, 5; 4.2: 2, 3; 4.3: 1, 2) is due in class.
Elementary matrices, computing the inverse of a matrix. (Sec 2.3: 7, 8, 9, 17, 19, 20.)
L8 (09/08): Permutations, even/odd permutations, definition of the determinant of a matrix. (Sec 3.1: 3, 5, 11.)
Week 4. (Week of September 11th.)
L9 (09/11): There isn't any homework due in class - it's all on WebAssign.
Properties of determinants. (Sec 3.2: 2, 3, 4, 7, 10*, 14*, 15*, 17*, 23, 25, 26.)
Matlab: 8.1: 5, 6.
L10 (09/13): Cofactor expansion. (Sec 3.3: 4, 6, 7.)
L11 (09/15): Adjoint of a matrix; Inverse of a matrix. (Sec 3.4: 1, 2, 3.)
Cramer's rule. (Sec 3.5: 1, 2, 3.)
Week 5. (Week of September 18th.)
L12 (09/18): Homework 3 (Book Sec 3.2: 10, 14, 15, 17; Matlab: 8.1: 5, 6) is due in class.
Vectors in 2-space and 3-space. (Sec 4.1: 2*, 5, 6, 8, 11, 14, 15, 16, 17, 19.)
L13 (09/19): Vector Spaces. (Sec 4.2: 2, 8, 10, 12*.)
L14 (09/21): Subspaces. (Sec 4.3: 2, 4*, 6, 10.)
Week 6. (Week of September 25th.)
L15 (09/25): Subspaces, cont. (Sec: 4.3: 16, 17, 19, 28*, 33, 34; Matlab: 6.1: 1, 2, 4, 8.)
L16 (09/27): Homework 4 (Sec 4.1: 2; Sec 4.2: 12; Sec 4.3: 4, 28; Matlab: 6.1: 1, 2, 4, 8) is due in class.
Review session.
L17 (09/29): 1st Midterm Exam.
Week 7. (Week of October 2nd)
L18 (10/02): Span of a set of vectors. (Sec 4.4: 3, 4, 5, 6, 7, 10, 12, 13*, 15*.)
L19 (10/04): Linear Independence. (Sec 4.5: 4, 5, 6, 11, 12, 15, 16; Matlab: 6.2: 1, 2, 6, and 6.3: 1.)
L20 (10/06): Due to lack of attendance, some exercises from the textbook were discussed.
Week 8. (Week of October 9th)
(10/09): October Break; No class.
L21 (10/11): Homework 5 (Sec 4.4: 13, 15; Matlab: 6.2: 1, 2, 6, and 6.3: 1) is due in class.
Basis of a vector space. (Sec 4.6: 2, 3, 7, 8, 11, 12.)
L22 (10/13): Dimension of a vector space. (Sec 4.6: 14, 15, 16, 17, 19, 20, 23, 24.)
Week 9. (Week of October 16th)
L23 (10/16): Homogeneous systems (Sec 4.7: 2ab, 5, 6, 7, 8, 10, 11, 12.)
L24 (10/18): Rank of a matrix. (Sec 4.9: 1, 3, 6, 8, 9, 10, 13. Matlab: 6.4: 2.)
L25 (10/20): Rank of a matrix (Sec 4.9: 12, 14, 16, 20, 22, 29, 30, 32, 34, 35*, 36.)
Class cancelled due to a math conference at Purdue.
Week 10. (Week of October 23rd)
L26 (10/23): Length and direction in R^2 and R^3. (Sec 5.1: 2, 6, 8, 10, 17, 18, 25, 26, 27, 28.)
Homework 6 (Sec 4.9: 35; Matlab: 6.4: 2) due in class.
L27 (10/25): Inner product spaces. (Sec 5.3: 8, 29, 33, 34.) (Matlab: 9.1: 1; 9.2: 2.)
L28 (10/27): Gram-Schmidt process. (Sec 5.4: 1, 3, 10, 11, 14, 16, 22, 28.) (Matlab: 10.3: 1, 2, 7.)
Week 11. (Week of October 30th)
L29 (10/30): Orthogonal complements. (Sec 5.5: 1a, 3, 4, 7, 12, 14, 16, 18, 20.) (Matlab: 10.2: 1, 3, 4, 6, 7.)
Homework 7 (Matlab: 9.1: 1, 9.2: 2, 10.3: 1, 2, 7) due in class.
L30 (11/1): Linear Transformations. Definitions and examples. (Sec 6.1: 1, 2, 7, 10, 11, 12, 13, 14, 19*.)
L31 (11/3): Review for 2nd Midterm Exam.
Week 12. (Week of November 6th)
L32 (11/06): 2nd Midterm Exam.
L33 (11/08): Eigenvalues and Eigenvectors. (Sec 7.1: 5, 6, 7, 8, 17, 18; Matlab: 13.2: 1, 2, 5).
Homework 8 (Matlab 10.2: 1, 3, 4, 6, 7) due in class.
L34 (11/10): Similar matrices and diagonalization. (Sec 7.2: 6, 7, 8, 10, 11.)
Week 12. (Week of November 13th)
L32 (11/13): Similar matrices and diagonalization. (Sec 7.2: 12, 13, 15, 17, 19.)
Homework 9 (Matlab: 13.2: 1, 2, 5) due in class.
L33 (11/15): Complex numbers. (Appendix B1: 1, 2, 7, 9.)
L34 (11/17): Complex numbers in Linear Algebra. (Appendix B2: 1, 3, 4, 5, 11; Matlab: 1.2: 1, 2, 4, 5, 6.)
Week 13. (Week of November 20th)
L35 (11/20): Orthogonal matrices. (Sec 7.3: 1*, 2, 8*, 10*.)
Homework 10 (Matlab: 1.2: 1, 2, 4, 5, 6) due in class.
Thanksgiving Break... No classes on 22nd and 24th.
Week 14. (Week of November 27)
L36 (11/27): Diagonalizing a symmetric matrix. (Sec 7.3: 14*, 18, 19, 20, 22.)
L37 (11/29): Differential Equations. (Sec 8.4: 1, 2, 5, 6, 7, 10.)
L38 (12/01): Differential Equations. (Sec 8.4: 3, 8, 9.)
Homework 11 (7.3: 1*, 8*, 10*, 14*) due in class.
Week 15. (Week of December 4)
L39 (12/04): Least squares method. (Sec 5.6: 3, 11, 12.)
L40 (12/06): Dynamical Systems. (Sec 8.5: 1*, 3*, 5*, 7*.)
L41 (12/08): Review for the final exam.
Homework 12 (Sec 8.5: 1*, 3*, 5*, 7*.) due in class.
Special Office Hour: Sunday, 10-December-2017, 2 p.m. to 5 p.m.
FINAL EXAM: Monday, 11-December-2017, 8 a.m. to 10 a.m.