Math 163: Math for Computing

Textbook

This is the 2015 version of the Math 163 textbook. If you'd like to get a hardcopy printed, you can get it done at the Interurban Satellite Printshop in the CBA Atrium (hours given in the link) – just ask them to print the "Math 163 Course Materials" for you, since they have the PDFs already on file.

Full Chapters as Single PDFs

• Chapter 1: Logic
• Chapter 2: Relational Algebra
• Chapter 3: Sequences and Series
• Chapter 4: Trigonometry
• Chapter 5: Exponents and Logs
• Chapter 6: Probability and Statistics

Logic

Section	Title	Section Text	Exercises	Answers	Corrections
1.1	Sets	Section Text	Exercises	Answers
1.2	Subsets	Section Text	Exercises	Answers	Corrections
1.3	Operations on Sets	Section Text	Exercises	Answers
1.4	Venn Diagrams	Section Text	Exercises	Answers
1.5	Intro to Logic	Section Text	Exercises	Answers
1.6	Logical Equivalence	Section Text	Exercises	Answers	Corrections
1.7	Algebra of Sets	Section Text	Exercises	Answers
1.8	Boolean Algebra	Section Text	Exercises	Answers
1.9	Laws of Logic	Section Text	Exercises	Answers
1.10	More Laws of Logic	Section Text	Exercises	Answers	Corrections
1.11	The Conditional	Section Text	Exercises	Answers
1.12	The Biconditional	Section Text	Exercises	Answers	Corrections

Relational Algebra

Section	Title	Section Text	Exercises	Answers	Corrections
2.1	Relations	Section Text	Exercises	Answers
2.2	Relational Algebra	Section Text	Exercises	Answers

Sequences and Series

Section	Title	Section Text	Exercises	Answers	Corrections
3.1	Sequences and Series	Section Text	Exercises	Answers	Corrections
3.2	Arithmetic Sequences and Series	Section Text	Exercises	Answers	Corrections
3.3	Geometric Sequences and Series	Section Text	Exercises	Answers

Trigonometry

Section	Title	Section Text	Exercises	Answers	Corrections
4.1	Introduction to Trigonometry	Section Text	Exercises	Answers
4.2	Applications of Right Triangles	Section Text	Exercises	Answers
4.3	Applications in Computer Graphics	Section Text	Exercises	Answers
4.4	Trig Functions of Any Angle	Section Text	Exercises	Answers

Exponents and Logs

Section	Title	Section Text	Exercises	Answers	Corrections
5.1	Exponential Functions	Section Text	Exercises	Answers
5.2	Logarithmic Functions	Section Text	Exercises	Answers
5.3	Properties of Logs	Section Text	Exercises	Answers
5.4	Solving Equations	Section Text	Exercises	Answers
5.5	Applications	Section Text	Exercises	Answers

Probability and Statistics

Section	Title	Section Text	Exercises	Answers	Corrections
6.1	Counting Techniques	Section Text	Exercises	Answers
6.2	Combinations and Permutations	Section Text	Exercises	Answers
6.3	Probability	Section Text	Exercises	Answers

We did not cover Sections 6.4 and 6.5 this year.

Textbook corrections

• Logic
  • Section 1.2: In Question 22, I put the answers in the wrong order. The number of proper subsets is 2ⁿ-1, while the number of subsets is 2ⁿ. The .pdfs have been updated.
  • Section 1.6: In Questions 23 and 24, the conclusions were correct, but I used the wrong expressions in the truth tables. The .pdfs have been updated.
  • Section 1.10: I've added the handwritten solutions to the proofs (numbers 41-49), including the names of the laws for #49. Sorry about that! The .pdfs have been updated.
  • Section 1.10: The answer to Question #2 should have had q's in it, not p's. The .pdfs have been updated.
  • Section 1.12: The "95%" in Questions #21 and 32 has been changed to "90%" to reflect Camosun's current grading policy (at the time I originally wrote this, 95% was indeed an A+). And I forgot the "let q denote" part in the directions before questions #27 to 30. The .pdfs have been updated.
• Sequences and Series
  • Section 3.1: The answer to #37 has been fixed -- the last part should have read a_n = a_n-1 + 2n - 1, rather than 2n + 1 as I had before. The .pdf has been updated.
  • Section 3.2: There are two places where I had used the equation "a_n = a_n + (n - 1)*d", which has been corrected to "a_n = a₁ + (n - 1)*d". The .pdfs have been updated.