Instructor

Gerard A. Venema

Office: North Hall 287

Office hours: 10:30 - 11:20 a.m. M. Tu. W. 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, fifth edition, by Kenneth H. Rosen, McGraw Hill, 2003
    (or coursepack containing first three chapters of Rosen).

  2. Linear Algebra: A Geometric Approach, by Theodore Shifrin and Malcolm Adams, W. H. Freeman and Co., 2002.

Course Outline

  Topic Textbook Sections Time spent
1 Logic and proofs Rosen, §§1.1 - 1.5 1.5 weeks
2 Integers and division Rosen, §§2.4 - 2.7 2 weeks
3 Induction and recursion Rosen, §§3.1 - 3.5 1.5 weeks
4 Vectors and matrices Shifrin, Chapter 1 1.5 weeks
5 Matrix Algebra Shifrin, Chapter 2 1 week
6 Vector Spaces Shifrin, §§3.1 - 3.4 1.5 weeks
7 Projections and Linear Transformations Shifrin, §§4.1 - 4.2 1 week
8 Determinants Shifrin, Chapter 5 1 week
9 Eigenvalues and Eigenvectors Shifrin, §§6.1 - 6.2 1 week
10 Computer Graphics Shifrin, §7.2 1 week

Tests and Final Exam

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.

Other information about the course

Homework Assignments

  Due date Assignment
1 Thursday, February 2 Rosen §1.1 # 7abdf, 8abd, 13, 15, 16abc, 21, 24acd
2 Friday, February 3 Rosen §1.2 # 6, 14, 15, 17, 27
3 Monday, February 6 Rosen §1.3 # 2ac, 3bc, 5, 10bcd, 14cd, 19cd, 23, 30, 48ac
4 Wednesday, February 8 Rosen §1.4 # 3ace, 4ace, 9a-e, 15abc, 16abc, 27ace, 28acef, 31a
5 Thursday, February 9 Rosen §1.5 # 3, 4, 5, 6, 20a, 21a;   read §1.5
6 Friday, February 10 Rosen §1.5 # 23, 24, 25, 27, 28
7 Monday, February 13 Rosen §2.4 # 9abcefg, 11acde, 13
8 Wednesday, February 15 Rosen §2.4 # 17, 19bc, 20, 24, 29acf, 31acf, 37
9 Thursday, February 16 Rosen §2.4 # 39, 43, 48, 50, 55, 56
10 Monday, February 20 Rosen §2.5 # 2abc, 4ac, 5ad, 8abc, 13, 14, 15, 21cde
11 Wednesday, February 22 Rosen §2.6 # 1bcfgh, 3, 5, 7, 11, 12
12 Friday, February 24 RSA handout  |  Mathematica commands for RSA
13 Wednesday, March 1 Read Rosen §3.1
Rosen §3.2 # 1, 3d, 4d, 5abcef, 8, 9acde
14 Friday, March 3 Rosen §3.2 # 13, 16, 23; §3.3 # 1, 2, 6
15 Monday, March 6 Rosen §3.3 # 20, 22, 28, 31, 32, 50, 51
16 Wednesday, March 8 Rosen §3.4 # 2, 4, 7, 9, 12, 17
17 Thursday, March 9 Rosen §3.2 # 31, 33, 38, 39, 41
18 Monday, March 13 Shifrin §1.1 # 2, 3abce, 5, 7, 8abd, 12
19 Wednesday, March 15 Shifrin §1.2 # 1acef, 2acef, 3, 5, 8, 13, 14
20 Friday, March 17 Shifrin §1.3 # 1, 4, 8abcd; §1.4 # 1, 2
21 Wednesday, March 29 Shifrin §1.4 # 3abcdg, 4, 6a, 7a; §1.5 # 2, 3ab, 5
22 Friday, March 31 Shifrin §2.1 # 1, 2a-h, 6a, 7a-d
23 Thursday, April 6 Shifrin §2.2 # 1, 2, 3, 5
24 Friday, April 7 Shifrin §2.3 # 1a-f, 2, 3, 8a
25 Monday, April 10 Shifrin §3.1 # 1abcdehi, 4, 5, 9, 10
26 Thursday, April 13 Shifrin §3.1 # 15, 17; §3.2 # 2a-e, 3, 6, 7
27 Monday, April 17 Shifrin §3.3 # 1, 2ab, 3, 4abd
28 Wednesday, April 19 Shifrin §3.4 # 1abcdf, 2, 4, 5ab; Extra Credit: #11
29 Friday, April 21 Shifrin §4.1 # 1, 2, 3, 4, 5
30 Monday, April 24 Shifrin §4.2 # 1, 2, 4, 5
31 Thursday, April 27 Shifrin §4.2 # 8, 9
32 Monday, May 8 Shifrin §5.2 # 1, 8, 11; §6.1 # 1abfgjn, 4
33 Wednesday, May 10 Shifrin §2.1 # 14a; §4.3 # 4
 
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