Math 227/03 Syllabus Fall, 2001


Prerequisite Information: The prerequisite is Math 114 or 116 or 121. Not open to students who have passed Math 215. The course is open to sophomores.

Note: The outline will be filled in as the course proceeds. Check this link frequently for homework assignments.
Section  Topic  Homework 
1.1  Systems of linear equations  p. 11ABC: 1, 7, 9, 11, 13, 17, 19, 25  
1.2  Row reduction and echelon forms  p. 25AB: 1, 3, 15, 17, 18; and 19, 23, 31 (old 21, 25, 33)  
1.3  Vector equations  p. 37ABCD: 5, 10, 11, 13, 17, 21(old 23); p. 37: 26, 27 
1.4  Matrix-vector product  p. 47ABC: 1, 5, 7, 9, 12, 13, 16, 17, 19, 21 
1.5  Solution Sets of Linear Systems  new p. 54: 1, 5, 11, 13, 15, 18, 19, 23 = old 21 
1.6  Linear independence  p. 65AB: 1, 5, 7, 11, 16, 18, 22, 27, 28; p. 65: 30
1.7  Matrix and Linear Transformations  p. 73: 2, 5, 11, 19, 23, 29, 30, 32 
1.8  Matrix of a Linear Transformation  p. 84AB: 1, 3, 7, 11, 15, 19; old p. 84: 31, 32, 35, 36
2.1  Matrix Operations  p. 108ABC: 2, 6, 9, 13, 15, 16, 18, 20 22, 23, 24, 25
2.2  Matrix inversion  p. 118ABC: 10, 11, 13, 18, 21, 22, 23, 24, 31
2.3  Characterizations of invertibility  p. 124AB : 3, 6, 11, 13, 14, 15, 16, 19, 22, 27
2.4  Partitioned matrices  p. 130: 1, 5, 9, 13, 15, 19 
Exam 1 
2.5   LU-decomposition  p. 140: 2, 5, 11, 13, 17, 19, 24 
2.8   Connections with Computer Graphics  p. 163: 1, 2, 3, 5, 11, 13, 16 
3.1  Introduction to Determinants  p.185: 1, 2, 9, 11, 20, 25, 33, 34, 35, 36 
3.2A  Properties of Determinants  p. 193: 2, 4, 5, 7, 13, 21, 22, 30, 31 
3.2B  Invertibility and Products  p. 193: 27, 29 
4.1  Vector spaces and subspaces  p. 217: 2, 6, 7, 9, 13, 15, 18, 20, 21, 23, 29, 31 
4.2A  Null spaces  p. 228: 1, 3, 5, 11, 14 
4.2B  Column spaces and linear transformations  p. 229: 17, 21, 23, 25, 27, 31, 33, 34, 35