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Updates/Revisions to the Math 156 Course Webpages
- The Test 1 date on the Tests page has been fixed.
- I've adjusted the Study Plan timeline on this page to match the pacing schedule which you can find on the About page.
- Test 1 was postponed due to my absence. The new dates have been posted to the Tests page.
Study Plan
Week 1: Sept 7 to Sept 10
- 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: Sept 13 to Sept 17
- 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: Sept 20 to Sept 24
- 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: Sept 27 to Oct 1
- Finish up Section 2.5
- WeBWorK Assign3, which is due the following week
- Hallowe'en link: Boo-lean Venn Diagrams
- Test 1 is tentatively scheduled for Friday of this week
Week 5: Oct 4 to Oct 8
- Section 2.6: More Laws of Logic
- My Old Lecture Notes: Section 2.6
- Section 2.7: The Conditional
- My Old Lecture Notes: Section 2.7
- Handout: Who's Breaking the Law? with the tables filled in completely
Week 6: Oct 12 to Oct 15
- 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)
- Section 3.2: Arithmetic Sequences and Series
- My Old Lecture Notes: Section 3.2
Week 7: Oct 18 to Oct 22
- Section 3.3: Geometric Sequences and Series
- My Old Lecture Notes: Section 3.3
- Extra Practice for Chapter 3:
- Section 4.1: Big O and Rates of Growth
- My Old Lecture Notes: Section 4.1
- 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
- Test 2 is tentatively scheduled for Friday of this week
Week 8: Oct 25 to Oct 28
- 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
- Section 5.4: Misleading Graphs
- My Old Lecture Notes: Section 5.4
- Handout: Misleading Graphs
- Link of the week: Epic bad graph in pink! – note the truncated zero *and* pictographs!
Week 9: Nov 1 to Nov 5
- 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 Thursday/Friday of this week. See the Tests page for the exact date for your section.
Week 10: Nov 8 to Nov 12
- 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)
Week 11: Nov 15 to Nov 19
- Section 7.2: Observational and Experimental Studies
- My Old Lecture Notes: Section 7.2
- Handout: Observation vs. Experiment Handout and Solutions
- 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: Nov 22 to Nov 26
- 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 Thursday/Friday 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: Nov 29 to Dec 3
- 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)
Week 14: Dec 6 to Dec 10
- Section 10.1: Estimating with Confidence
- My Old Lecture Notes: Section 10.1
- 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 Friday of this week
