Instructor

Gerard A. Venema

Office: North Hall 287

Office hours: 10:30 - 11:20 a.m. M. Tu. Th. F.
Other times by appointment

Phone: 616-526-6402

Email: venema@calvin.edu

Homepage: http://www.calvin.edu/~venema

Textbooks

  1. Discrete Mathematics and its Applications, sixth edition, by Kenneth H. Rosen, McGraw Hill, 2006.

  2. Introduction to Linear Algebra, third edition, by Gilbert Strang, Wellesley-Cambridge Press, 2005

Course Outline

  Topic Textbook Sections Time spent
1 Logic and proofs Rosen, §§1.1 - 1.7 1.5 weeks
2 Sets and functions Rosen, §§2.1 - 2.4 0.5 weeks
3 Integers and division Rosen, §§3.4 - 3.7 2 weeks
4 Induction and recursion Rosen, §§4.1 - 4.4 1.5 weeks
5 Vectors Strang, Chapter 1 0.5 weeks
6 Systems of linear equations and matrix algebra Strang, Chapter 2 1.5 weeks
7 Vector Spaces Strang, Chapter 3 1.5 weeks
8 Orthogonality Strang, Chapter 4 1 week
9 Determinants Strang, Chapter 5 1 week
10 Eigenvalues and Eigenvectors Strang, Chapter 6 1 week
11 Applications Strang, §§7.1, 7.2, and 8.6 1 week

Tests and Final Exam

Homework

The course meets Monday, Tuesday, Thursday, and Friday of each week. Homework will be due each Monday and Thursday, but it will be collected the day after it is due so that there is ample opportunity to ask questions about it. You are encouraged to discuss homework problems with other members of the class, but the work you turn in must be your own.

Grades

Course grades will be based on the three tests, homework, and the final exam. The homework will count as much as one test and the final exam will count as much as two tests.

Course-related Links

Homework Assignments

  Due date Assignment
1 Thursday, February 1 Rosen §1.1 # 2, 3, 6a-f, 7a-f, 18acd, 20abdf, 24
Rosen §1.2 # 5, 7, 8, 9cd, 16, 26
2 Monday, February 5 Rosen §1.3 # 6, 7, 10, 11, 29abd, 32, 34
Rosen §1.4 # 7, 8, 9, 12abdeghjk, 21, 23
3 Thursday, February 8 Rosen §1.5 # 4, 7, 8, 16, 19
Rosen §1.6 # 1, 6, 8, 9, 10, 11, 16, 22, 26
4 Monday, February 12 Rosen §1.6 # 14, 18, 28, 30
Rosen §1.7 # 2, 6, 8, 11
5 Thursday, February 15 Rosen §2.1 # 1, 2, 6, 8, 9, 22, 23, 34
Rosen §2.2 # 4, 14, 15a, 30ab
Rosen §2.3 # 2, 3, 4, 8, 14abc, 16, 18
6 Monday, February 19 Rosen §2.4 # 3, 4ac, 5adf, 6d, 8, 14, 16, 23, 24, 32, 34, 35, 42, 43
7 Monday, February 26 Rosen §3.4 # 1, 2b, 4, 8, 9bde
Rosen §3.5 # 4def, 5, 8, 11, 14, 15, 17
Rosen §3.6 # 2, 3, 5, 7, 8, 10, 24
8 Thursday, March 1 Rosen §3.4 # 16, 19, 23, 24
Rosen §3.7 # 1dg, 2fg, 3, 4, 5, 6, 11, 12, 18, 19, 26
9 Monday, March 5 RSA Handout   |  Mathematica commands for RSA
10 Thursday, March 8 Rosen §4.1 # 3, 4, 6, 9, 10, 20, 21, 31, 32
Rosen §4.2 # 3, 4, 12
11 Monday, March 12 Rosen §4.3 # 1, 2, 5, 8, 12, 13, 17
Rosen §4.4 # 8, 10
12 Thursday, March 15 Strang §1.1 # 1, 2, 5, 8, 15, 16, 23, 26
Strang §1.2 # 1, 2, 6, 7, 12, 13, 14, 16
13 Monday, March 26 Strang §2.1 # 1, 2, 9, 10, 11, 16, 18, 20
Strang §2.2 # 5, 6, 11, 12 ,13, 21, 22, 23
14 Monday, April 2 Strang §2.3 # 1, 2, 3, 7, 9, 12, 14, 16, 17, 19, 25, 26, 27
Strang §2.4 # 1, 2, 3, 5, 6, 7, 13, 14, 18, 21, 22, 24
Strang §2.5 # 1, 3, 4, 5, 6, 12, 22, 23, 24, 29, 32, 36
15 Thursday, April 5 Strang §2.6 # 2, 4, 5, 6, 11, 13, 15, 16
Strang §3.1 # 4, 5, 10, 19
16 Monday, April 9 Strang §3.2 # 1, 2, 3, 4, 9, 10, 11, 12, 18, 21, 24
17 Thursday, April 12 Strang §3.3 # 1, 2, 8
Strang §3.4 # 3, 4, 5, 6, 10, 18, 23, 24
Strang §3.5 # 1, 2, 7, 8, 11, 13, 17, 20, 21
18 Monday, April 16 Strang §3.6 # 1, 2, 3, 4, 5
Strang §4.1 # 3, 14, 17, 19, 21
19 Thursday, April 19 Strang §4.2 # 1, 2, 11, 12, 13, 16, 19, 21, 23
Strang §4.3 # 2, 3, 17, 18, 19, 20
20 Monday, April 23 Strang §4.4 # 2, 4, 5, 9, 11, 15, 16, 18, 21, 22
21 Monday, April 30 Strang §5.1 # 1, 2, 3, 14, 18, 19; §5.2 # 12, 13; §5.3 # 1, 6
22 Thursday, May 3 Strang §6.1 # 3, 4, 5, 6, 8, 12, 19, 28, 30
23 Monday, May 7 Strang §6.2 # 1, 2, 3, 6, 9, 19
 
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