Schedule and assignments
Linear Algebra, Math 2250, Fall 2015

Class syllabus

                                                                           

Wed Sept 2 Sect 1.1 Systems Exer. 1, 3, 7, 11, 15, 17, 19, 21, 23, 25. (The correct answer to #25 )
Fri Sept 4 Sect 1.2 Row Reduction Exer. 1, 3, 7, 11, 13, 19, 26, 29 and optionally, but especially, 23 and 30.

Mon Sept 7 Labor Day Holiday
Wed Sept 9 Sect 1.3 Vectors Exer. 1, 5, 7, 9, 11, 15, 21, 22, 23, 25. (Especially 21 and 22.)
Fri Sept 11 Sect 1.4 Ax=b Exer. 1, 3, 5, 7, 9, 11, 16, 21, 22, 25, 29, 30, 31, 34, 35.

Mon Sept 14 Sect 1.5 Solution Sets Exer. 1, 3, 5, 7, 11, 13, 15, 17, 19, 23, 26(!), 29, 31, 33(!), 35.
Wed Sept 16 Sect. 1.7 Linear Independence Exer. 1, 3, 5, 7, 9, 11, 15, 17, 21, 23, 25, 27, 28, 30.
Fri Sept 18 Sect 1.8 Linear Transformations    Exer. 1, 2, 3, 5, 7, 9, 11, 17, 19, 21, 23, 24, 25, 31.

Mon Sept 21 Sect. 1.9 Matrix form Exer. 1, 3, 5, 7, 10, 11, 12, 15, 17, 19, 21, 23, 25, 27, 31, 32, 35.
Wed Sept 23 Chap 1 Quiz and worksheet
Fri Sept 25 Chap 1 Worksheet problems 3 - 8.

Mon Sept 28 Review Chapter 1 Supplementary Exercises. (They are almost all excellent.)
Wed Sept 30 Test 1
Fri Oct 2 Sect. 2.1 Matrix operations Exer. 1, 2, 3, 5, 7, 9, 10, 15, 17, 19(*), 21(**), 23.

Mon Oct 5 Test 1 review
Cont. 2.1
Wed Oct 7 Sect. 2.2 Matrix Inverse Exer. 1, 5, 7, 31, 33, 35, 37, 9, 11, 13, 17.
Fri Oct 9 Sect. 2.3 Invertible Matrices Exer. 1, 3, 5, 8, 11, 13, 15, 17, 18, 21, 23, 28, 33, 37.

Mon Oct 12 (cont.)
Wed Oct 14 Sect. 2.8 Subspaces of Rn Exer. 1-5, 7, 11-13, 15, 17, 19, 21, 23, 25, 27, 31, 33, 35.
Fri Oct 16 Sect. 2.9 Dimension and Rank Exer. 1, 3, 5, 9-13, 15-17, 19, 23.

Mon Oct 19 Supp. Exer. (p. 160-161) # 3, 4, 6, 11.
Wed Oct 21 Sect. 3.1 Determinants Exer. 1, 3, 5, 9, 11, 13, 19, 21, 21, 25, 27, 37.
Fri Oct 23 Sect. 3.2 Their properties Exer. 5, 7, 9, 11, 15, 17, 19, 23, 25, 29, 34, 35, 36.

Mon Oct 26 Review
Wed Oct 28 Review
Fri Oct 30 Test 2

Mon Nov 2 Sect 3.3 Cramer's rule Exer. 1, 3, 5, 7, 9.
Wed Nov 4 Sect. 4.1 Vector Spaces Exer. Read 1-4, Do 5-8, 11, 13, 15, 17, 20 (esp. c), 22, 30-33. Think about 25-29.
Fri Nov 6 Sect. 4.2 Linear Transformations Exer. 3, 5, 7, 9, 11, 17, 20, 21, 25, 31, 32, 33.

Mon Nov 9 Sect. 4.3 Linear Independence Exer. 1-11 odd, 31, 32, 33.
Wed Nov 11 Sect. 4.4 Coordinates Exer. 3, 5, 9, 11, 13, 27, 29, and optionally 19, 23, 24.
Fri Nov 13 Sect. 4.4 Cont.

Mon Nov 16 Sect. 4.5 Dimension Exer. 7, 9, 13, 15, 21, 23, 26, 29, 30, 31.
Wed Nov 18 Sect. 4.6 Rank Exer. 1, 3, 5, 7, 11, 15, 19, 23, 27, 28, 29, and optionally 31, 32.
Fri Nov 20 Review

Mon Nov 23 Test 3
Wed Nov 25 Thanksgiving Break
Fri Nov 27 Thanksgiving Break

Mon Nov 30 Sect. 5.1 Eigenvalues and vectors Exer. 1, 3, 5, 7, 9, 11, 17, 19, 21, 25, 26, 31.
Wed Dec 2 Sect. 5.2 Characteristic Equation Exer. 1, 3, 5, 9, 11, 15, 23, 24.
Fri Dec 4 Sect. 5.3 Diagonalization Exer. 1, 3, 5, 7, 9, 11, 13, 17, 23, 25.

Mon Dec 7 Sect. 5.5 Complex eigenvalues Exer. 1, 3, 7, 9, 13, 15. (Handout)
Wed Dec 9 Sect. 6.1 Inner products Exer. 1-11 odd, 15, 17, 19, 20, 25, 27, 31.
Sect. 6.2 Orthogonality Exer. 1-11 odd, 15, 17, 19, 23, 24, 33, and, optionally, 34.
Fri Dec 11 Sect. 6.3 Projections Exer. 1-11 odd, 17, 19, 21, 22.
Sect. 6.4 Gram-Schmidt Exer. 1, 3, 7, 9, 17, 18.

Mon Dec 14 Sect. 6.7 Inner product Spaces Exer. 3, 7, 21, 25.

Fri Dec 18 Final Review 11:00-1:00, in 111 State Drop in; you need not stay the whole time.
Tue Dec 22 Final (Comprehensive) 8:00 - 10:30, in 217 State Hall

Class syllabus