New York Institute of Technology
Department of Mathematics

Course :Math 310 Course Name: Linear Algebra SP 2018

Text: Elementary Linear Algebra, by Bernard Kolman, 9th Ed., Prentice Hall, 2008.

ISBN: 0132296543 Pearson

Lesson / Hours / TOPIC / SECTION / ASSIGNMENT
1 / 1 / Systems of Linear Equations / 1.1 / p.8: 1-15*, 17ab, 18, 19
2 / 1 / Matrices; Matrix Multiplication / 1.2, 1.3 / p.19: 1, 2, 4, 5ac, 6abe, 7abe, 9, 11.
p.30: 1, 3, 7, 11-15, 19, 30-33
3 / 2 / Algebraic Properties of Matrix Operations / 1.4 / p.40: 3,8, 9, 10, 15, 17, 19, 20, 21, 23.
4 / 2 / Echelon Form of a Matrix & solving Linear systems / 2.1 & 2.2 / p.94: 1, 3, 5, 7.
p.113: 3-5, 6,7, 8.
5 / 2 / Singular and Nonsingular matrices only / 1.5 / p.52: 29-33, 41
Elementary Matrices; Inverse of a Matrix / 2.3 / p.124: 7-11*, 17.
6 / 2 / Definition of Determinant / 3.1 / p.145: 1, 8-14; p. 164: 11, 12.
Properties of Determinants / 3.2 / p.154: 1, 3-5, 7, 8, 11,14, 25.
7 / 1 / Definition of Cofactor and use to find he inverse of a matrix / 3.3 3.4 / p.164: 4; p.168: 3, 7.
8 / 1 / Vectors in the Plane and 3-Space / 4.1 / p.187: 1-19*
9 / 2 / Vector Spaces / 4.2 / p.196: 1-3, 5-13, 16-18.
10 / 1.5 / Subspaces / 4.3 / p.205: 1-3, 5, 6bd, 7, 11, 15, 16.
11 / 1.5 / Span / 4.4 / p.215: 3,5, 6, 7ab, 8, 9, 11.
12 / 1.5 / Linear Independence / 4.5 / p.226: 1-11*, 12(b), 13, 15, 19, 21.
13 / 1.5 / Basis and Dimension / 4.6 / p.242: 1- 4, 7, 9, 11, 13, 19, 20, 23.
14 / 1.5 / Homogeneous systems / 4.7 / p.252: 3, 5, 7. 11,13, 15.
The Rank of a Matrix / 4.9 / p.282: 1-4, 9-12
15 / 1.5 / Definition and Examples of Linear Transformation / 6.1 / p. 372: 1-3, 5, 7, 10, 11-14, 15, 19, 20.
17 / 2 / Range and Kernel / 6.2 / p.387: 1-5, 6, 8, 9, 13ab, 16, 19, 21.
18 / 1 / Coordinates and Isomorphisms (optional) / 4.8 / p.267: 1-9*, 15
1 / The Matrix of a Linear Transformation / 6.3 / p.397: 1, 2, 3, 5, 7.
19 / 1.5 / Eigenvalues and Eigenvectors / 7.1 / p.450: 5-8, 17, 18.
20 / 1.5 / Diagonalization / 7.2 / p.461: 6, 7, 10, 11.

4 lessons are left for tests and review.

Footnotes:

1) The # of hours column is designed to approximate the appropriate pace of the course. An hour translates into 50 minutes of classroom instructional time.

2) Homework exercises indicate the type of problems that a student should be able to do. The instructor will determine the particular exercises that are assigned.

3) The asterisk,*, indicates that the group of indicated exercises include only the odd numbers. For example, 7-13* indicates the problems 7, 9, 11, and 13.

Note: This course requires that each student own a graphing calculator. The department of Mathematics strongly recommends the Texas Instrument models TI-84. The calculator will be needed for homework, quizzes and exams, including the final exam, and will be used for all class demonstrations.