Math 156: Math and Stats for Computing

Textbook

The textbook can be found on its own page.

Lecture Notes

Here are the lecture notes for Winter 2024.

• Section 1.1
• Section 1.2
• Section 1.3
• Section 1.4
• Section 1.5
• Chapter 1 Summary

• Section 2.1 – see also the Logical Reasoning Exercises which you can find in the Handouts below
• Section 2.2 – see also the Venn Diagram Worksheet in the Handouts below

• Test 1 covers the material up to this point.

• Section 2.3
• Section 2.4
• Section 2.5 – see also the Laws of Logic sheet under Handouts
• Section 2.6
• Section 2.7 – see also the Who's Breaking the Law worksheet under Handouts
• Section 2.8

• Test 2 covers the material up to this point.

• Section 3.1
• Section 3.2
• Section 3.3

• Section 4.1
• Section 4.2
• Section 4.3

• Test 3 covers the material up to this point.

• Section 5.1
• Section 5.2
• Section 5.3
• Section 5.4

• Section 6.1
• Section 6.2
• Section 6.3 – see also the Tchebysheff and Empirical Rule Handout
• Section 6.4

• Test 4 covers the material up to this point.

• Section 8.1
• Section 8.2
• Section 8.3

• Section 9.1
• Section 9.2
• Section 9.3
• Section 9.4
• Section 9.5 – we just did a demo for this section

• Section 10.1
• Section 10.2

• Review for Final Exam

Lecture notes from previous years can be found here.

Handouts and Other Class Resources

Chapter 1: Binary, Octal, and Hexadecimal

• Section 1.2:
  • RGB colour codes page
• Chapter 1 Mixed Practice (answers at the bottom of the page)

Chapter 2: Logic

• Section 2.1:
  • Logical Reasoning Exercises and Solutions
• Section 2.2:
  • Venn Diagrams Worksheet and Solutions
  • Venn Diagrams Extra Exercise Answers on back page
  • Pretty pictures of Venn diagrams containing 4 and 5 sets
• Section 2.5: Laws of Logic
• Section 2.7: Who's Breaking the Law? with the tables filled in completely

Chapter 4: Big-O

• Big O Summary Graph
• Animations of Sorting Algorithms
• Big O Cheatsheet

Chapter 5: Describing Data with Graphs

• Section 5.2: Graphs of Data
• Section 5.4: Misleading Graphs

Chapter 6: Describing Data with Numbers

• Section 6.3: Tchebysheff's Theorem and the Empirical Rule and Solutions

Chapter 7: Producing Data

• Section 7.1: Sampling Plans plus Exercises
• Section 7.2: Observation vs. Experiment Handout and Solutions

Chapter 9: Continuous Random Variables and the Normal Distribution

• Hyperstat Normal Distribution Calculator

Chapter 10: Confidence Intervals

• Web simulation: Confidence intervals for the mean length of fish

Videos

Here is a link to my YouTube channel.

Section 1.3:

• Quick Review of Decimal System for Non-integer Numbers (4:12 min)
• Converting Non-integer Numbers from Other Bases to Decimal (8:22 min)

Section 1.4:

• Converting Integer Numbers from Decimal to Other Bases (4:18 min)
• Converting from Decimal to Other Bases, Non-integer Numbers Less than One (7:07 min)
• Converting from Decimal to Other Bases, Non-integers Greater than One (6:38 min)
• Converting Non-integer Numbers from Decimal to Other Bases, Repeating Case (5:49 min)

Section 8.1:

• Finishing up the Addition Rule (4:30 min)
• Examples of Counting Techniques (11:53 min)
• Another Example of Counting Techniques (8:00 min)

Section 8.2:

• Classical Probability (4:19 min)
• Classical Probability, Example 1 (7:43 min)
• Classical Probability, Example 2 (8:28 min)
• Contingency Tables Example (13:48 min)
• Contingency Tables Example 2 (7:27 min)

Section 8.3:

• Discrete Random Variables (12:05 min)

Section 9.1:

• Continuous Random Variables (12:22 min)
• Continuous Random Variables Example (4:23 min)

Section 9.2:

• The Normal Distribution (11:53 min)

Section 9.3:

• The Standard Normal Distribution (19:28 min)

Section 9.4:

• The Standard Normal Distribution - calculating values from probabilities (7:58 min)
• The Normal Distribution - a full example (7:27 min)

Section 10.1 and 10.2:

• Confidence Intervals (15:09 min)
• Example of Confidence Intervals (14:47 min)