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