MA 235 B Linear Algebra

Text:  Linear Algebra Third Edition, John B. Fraleigh and Raymond A. Beauregard, Addison-Wesley, 1995

Syllabus
Problem Sets (PS)
Projects
Quizzes
Exams

Date Sections Assignements Assessements Comments
T1/15 1.1 Vectors in Euclidean space
pp 15-17, #7, 11, 27, 35, 37
Skim Sections 1.1 and 1.2
W1/16 1.2 The Dot Product;
1.3 Matrices and their Algebra
p 31, #9, 11;
pp 46-48, # 1-23(odd), 35, 37, 39, 43, 45
Read Section 1.3
F1/18 1.3
M1/21 Martin Luther King Holiday no classes
T1/22 1.3, 1.4 Solving Systems of Linear Equations pp 47-48, #35, 37, 39, 43, 45
W1/23 1.4 EROs p 68, #7, 9, 11 Read 1.4
F1/25 1.4 REF pp 68-71, #1a,b, 3a, b, 5, 13, 17, 19, 23, 25, 27, 29 Quiz I (1.3)
T1/29 1.4 Solutions of Ax=b; elementary matrices p 70, #31, 35, 39, 41, 43, 47, 49 PS I handed out
W1/30 1.5  Inverses of Square Matrices; uniquenss of the inverse Read 1.5
F2/1 1.5 inverse of AB, elemementary matrices pp 84-85, #1, 3, 5, 9
T2/5 1.5 Method to find A-1 PP 84 -85, #11, 13, 17, 21, 23
W2/6  1.6 Homogeneous  Systems, Subspaces and Bases p99, #1-9 Read 1.6
F2/8 1.6 pp. 99-100, #17, 19, 21 PS I due
T2/12 1.6 pp 100-101, #23, 25, 29,33, 35, 38 [F,T,T,T,F,F,T,T,F,T], 41, 47 Quiz II due
Project I due
W2/13 Review
F2/15 Exam I Sections 1.1 - 1.6 Exam I
T2/19 Monday class schedule No Class
W2/20  1.6 reviewed basis, etc. returned Exam I
F2/22 SNOW! No Class

T2/26 1.6 pp 99-101, #1-9,, 11, 14, 17-29(odd), 33, 35, 38, 45a, 46a, 47 distributed PS II Review 1.6
W2/27 2.1 Independence and Dimension pp 134-35, #7-23(odd), 29, 31, 33 Read 2.1
F2/29 2.1 p 135, #27, 28(TFTFTTFTTTTTFT)
M3/3 --F3/7 Spring Break No Classes
T 3/11 2.1 Dimension p 135, #27, 28(TFTFTTFTTTTTFT) PS II (#1 - 3) [+1]; #1 - 6[+2]
W 3/12 2.2 Rank of a Matrix pp 140-41, #1 - 17(odd),12 PS II (#1 - 6) due Read 2.2
F 3/14 2.3 Linear Transformations of Euclidiean Spaces p 152, #1-4
Read 2.3 at least pp 142 - 148
T 3/18 2.3 pp152 - 53, #5 - 17(odd) return PS II; PS III handed out Read 2.3
W 3/19 2.3; 3.1 Vector Spaces p 153, #19 - 31(odd) Read 3.1
F 3/21 Good Friday No Class
M 3/24 Easter Monday No Classes
T 3/25 3.1 Vector Spaces pp 189-190, #1-7(odd), 4, 6, 11, 13, 16, 17, 18(FFTTFTFTFF), 19, 23, 25
W 3/26 3.1 Quiz III (2.1-2.3 defs); PS III due
F 3/28 Review
T 4/1 Exam II Sections 1.6, 2.1, 2.2, 2.3, 3.1 Exam II
W 4/2 3.2 Basic Concepts of Vector  Spaces pp 201-202, #1, 3, 5,7a,b, 9a, 11, 15, 17, 19 Read 3.2
F 4/4 3.2 pp 202-203, #11, 15-31(odd), 26(TTFTFTTFTT)
T 4/8 3.3 Coodinatization of Vectors pp 211-212, #1-11(odd), 21, 22(TFFTTFFTTT) Read 3.3
W 4/9 3.4 Linear Transformations PS IV handed out Read 3.4
F 4/11 3.4 p 226, #1, 3
T 4/15 3.4 pp 227-229, #17, 19, 21, 34(TFTTFTFFFT), 35, 38, 39
W 4/16 3.4 Matrix representation of T relative to B,B' PS IV A due
F 4/18 4.2 Determinants pp 261-262, #1-7(odd), 11, 15-21(odd), 27, 29, 31 PS IV B (+1) Read 4.2
T 4/22 4.2, 4.3 The Computation of Determinants and Cramer's Rule pp 271-272, #1, 3, 5, 25, 29 PS IVB due; PS V handed out Read 4.3 (pp 263-268)
W 4/23 4.3; Review
F 4/25 Exam III 3.1-3.4, 4.2 Exam III
T 4/29 5.1 Eigenvalues and Eigenvectors p 300, #1, 3, 5, 7 Read 5.1
W 4/30 5.1
F 5/2 PS V [+5]
W 5/7  9:00 a.m. Final Exam PS V due