### Updates/Revisions to the Math 156 Course Webpages

- Recordings of the lectures can be found on D2L on the Course Media tab

### Study Plan

#### Week 1: Jan 10 to Jan 14

- Section 1.1: Decimal and Octal
- My Old Lecture Notes: Section 1.1
- Video: Here's an old YouTube intro video from Math 155 which covers the decimal system and base 4 counting (7:10 min)

- Section 1.2: Binary and Hexadecimal
- My Old Lecture Notes: Section 1.2

- Section 1.3: Converting Non-integer Numbers into Decimal
- My Old Lecture Notes: Section 1.3
- Video: Quick Review of Decimal System for Non-integer Numbers (4:12 min)
- Video: Converting Non-integer Numbers from Other Bases to Decimal (8:22 min)

- WeBWorK Assign0, which is due the following week

- Link of the week: Mechanical Binary Counter

#### Week 2: Jan 17 to Jan 21

- Section 1.4: Converting from Decimal
- My Old Lecture Notes: Section 1.4
- Video: Converting Integer Numbers from Decimal to Other Bases (4:18 min)
- Video: Converting from Decimal to Other Bases, Non-integer Numbers Less than One (7:07 min)
- Video: Converting from Decimal to Other Bases, Non-integers Greater than One (6:38 min)
- Video: Converting Non-integer Numbers from Decimal to Other Bases, Repeating Case (5:49 min)

- Section 1.5: Converting between Binary, Octal, and Hexadecimal
- My Old Lecture Notes: Section 1.5

- Section 2.1: Introduction to Logic
- My Old Lecture Notes: Section 2.1
- Handout: Logical Reasoning Exercises and Solutions

- WeBWorK Assign1, which is due the following week

- Link of the week: One Hundred Pushups

#### Week 3: Jan 24 to Jan 28

- Section 2.2: Venn Diagrams
- My Old Lecture Notes: Section 2.2
- Handout: Venn Diagrams Worksheet and Solutions
- Nifty visual: Pretty pictures of Venn diagrams containing 4 and 5 sets

**Test 1 covers the material up to this point**

- Section 2.3: Logical Equivalence
- My Old Lecture Notes: Section 2.3

- Section 2.4: Boolean Algebra
- My Old Lecture Notes: Section 2.4

- Section 2.5: Laws of Logic
- My Old Lecture Notes: Section 2.5
- Handout: Laws of Logic

- WeBWorK Assign2, which is due the following week

- Link of the week: Accidental Venn Diagram

#### Week 4: Jan 31 to Feb 4

- Finish up Section 2.5
- Section 2.6: More Laws of Logic
- My Old Lecture Notes: Section 2.6

- WeBWorK Assign3, which is due the following week

- Hallowe'en link: Boo-lean Venn Diagrams

**Test 1 is tentatively scheduled for Wednesday of this week**

#### Week 5: Feb 7 to Feb 11

- Section 2.7: The Conditional
- My Old Lecture Notes: Section 2.7
- Handout: Who's Breaking the Law? with the tables filled in completely

- Section 2.8: The Biconditional
- My Old Lecture Notes: Section 2.8

**Test 2 covers the material up to this point**

- Section 3.1: Introduction to Sequences and Series
- My Old Lecture Notes: Section 3.1
- Video: Sigma Notation (10:59 min)

#### Week 6: Feb 14 to Feb 18

- Section 3.2: Arithmetic Sequences and Series
- My Old Lecture Notes: Section 3.2

- Section 3.3: Geometric Sequences and Series
- My Old Lecture Notes: Section 3.3

- Extra Practice for Chapter 3:

**Test 2 is tentatively scheduled for Wednesday of this week**

#### Week 7: Feb 21 to Feb 25

- Reading Week

#### Week 8: Feb 28 to March 4

- Section 4.1: Big O and Rates of Growth
- My Old Lecture Notes: Section 4.1

- Section 4.2: Factorial and Exponential Growth
- My Old Lecture Notes: Section 4.2

- Section 4.3: Logarithmic Growth
- My Old Lecture Notes: Section 4.3

- Practice Questions for Chapter 4:

**Test 3 covers the material up to this point**

- Section 5.1: Variables
- My Old Lecture Notes: Section 5.1

- Section 5.2: Pie Charts and Bar Charts
- My Old Lecture Notes: Section 5.2

- Section 5.3: Histograms
- My Old Lecture Notes: Section 5.3

- Links of the week: Animations of Sorting Algorithms, a side-by-side comparison of various sorting techniques, and 15 Sorting Algorithms in 6 Minutes, a YouTube video with a nice auditory component

#### Week 9: March 7 to March 11

- Section 5.4: Misleading Graphs
- My Old Lecture Notes: Section 5.4
- Handout: Misleading Graphs

- Section 6.1: Measure of Centre: Mean and Median
- My Old Lecture Notes: Section 6.1
- Video: MySecretMathTutor: Find the median (1:39 min)

- Section 6.2: Measures of Spread: Range and Standard Deviation
- My Old Lecture Notes: Section 6.2
- Video: Conceptual Example (16:15 min)

**Test 3 is tentatively scheduled for Wednesday of this week**. See the Tests page for the exact date for your section.

- Link of the week: Epic bad graph in pink! – note the truncated zero *and* pictographs!

#### Week 10: March 14 to March 18

- Section 6.3: Tchebysheff and the Empirical Rule
- My Old Lecture Notes: Section 6.3
- Video: MySecretMathTutor: How to use the Empirical Rule (6:39 min)
- Video: Tchebysheff's Theorem (16:42 min)
- Video: MySecretMathTutor: How to use the Chebyshev's (or Tchebysheff's) Theorem (5:37 min)

- Section 6.4: Measure of Relative Standing: z-score
- My Old Lecture Notes: Section 6.4
- Video: MySecretMathTutor: Finding the z-score (2:07 min)

- Section 7.1: Data Collection and Sampling Techniques
- My Old Lecture Notes: Section 7.1
- Handout: Sampling Plans
- Handout: Sampling Plans Exercises
- Video: MySecretMathTutor: Types of Sampling (5:51 min)

- Section 7.2: Observational and Experimental Studies
- My Old Lecture Notes: Section 7.2
- Handout: Observation vs. Experiment Handout and Solutions

#### Week 11: March 21 to March 25

- Section 7.3: Uses and Misuses of Statistics
- My Old Lecture Notes: Section 7.3

**Test 4 covers the material up to this point**

- Section 8.1: Counting Techniques
- My Old Lecture Notes: Section 8.1
- Video: Finishing up the Addition Rule (4:30 min)
- Video: Examples of Counting Techniques (11:53 min)
- Video: Another Example of Counting Techniques (8:00 min)

- Section 8.2: Probability
- My Old Lecture Notes: Section 8.2
- Video: Classical Probability (4:19 min)
- Video: Classical Probability, Example 1 (7:43 min)
- Video: Classical Probability, Example 2 (8:28 min)
- Video: Contingency Tables Example (13:48 min)
- Video: Contingency Tables Example 2 (7:27 min)

- Link of the week: Online password '123456' more popular than ever

#### Week 12: March 28 to April 1

- Section 8.3: Discrete Random Variables
- My Old Lecture Notes: Section 8.3
- Video: Discrete Random Variables (12:05 min)

- Section 9.1: Continuous Random Variables
- My Old Lecture Notes: Section 9.1
- Video: Continuous Random Variables (12:22 min)
- Video: Continuous Random Variables Example (4:23 min)

**Test 4 is tentatively scheduled for Wednesday of this week**. See the Tests page for the exact date for your section.

- Link of the week: Lava Lamp Random Number Generator

#### Week 13: April 4 to April 8

- Section 9.2: Standard Normal Distribution
- My Old Lecture Notes: Section 9.2
- Video: The Normal Distribution (11:53 min)

- Section 9.3: Normal Distribution: Finding Probabilities
- My Old Lecture Notes: Section 9.3
- Video: The Standard Normal Distribution (19:28 min)
- Online calculator: The HyperStat Normal Distribution Calculator

- Section 9.4: Normal Distribution: Finding Values
- My Old Lecture Notes: Section 9.4
- Video: The Standard Normal Distribution - calculating values from probabilities (7:58 min)
- Video: The Normal Distribution - a full example (7:27 min)

- Section 10.1: Estimating with Confidence
- My Old Lecture Notes: Section 10.1

#### Week 14: April 11 to April 14

- Section 10.2: Confidence Intervals for the Mean
- My Old Lecture Notes: Section 10.2
- Video: Confidence Intervals (15:09 min)
- Video: Example of Confidence Intervals (14:47 min)
- Web simulation: Confidence intervals for the mean length of fish

**Final D2L Assignment covers the material up to this point****Final D2L Assignment is due on Thursday of this week**