The sections in the textbook covered each lecture/worksheet are given in parentheses next to the topic.
Homework: Should be turned in by 11:59 pm on the date shown; once submission is closed, no late work will be accepted. It is strongly recommended that you do not leave homework for the last minute!
Homework 0 is a special assignment designed to teach you how to use ChildsMath. It does not count towards your grade.
Exercises: For each lecture topic, some problems from the textbook will be suggested for you to solve. These exercises are completely optional; they will not be graded and they do not count towards your grade. The answers to odd-numbered exercises are in the back of the textbook.
Note: The full schedule is not complete yet! As the weeks go by, the calendar will expand, and eventually cover the entire semester...
| Week | Tutorial work for week | Date | Content | Lecture topics | Suggested exercises from textbook | Homework Due |
|---|---|---|---|---|---|---|
| 1 | N/A (Tutorials start Week 2) | Tuesday, Sept 2 | Lecture 1 | Course outline, Numbers and Operations (A.1) |
A.1 #1-12 odd; Appendix Review Exercises #1-8 odd | |
| Thursday, Sept 5 | Lecture 2 | Numbers and Operations (A.1) Part II |
A.1 #19-76 odd (you can use a calculator) | |||
| 2 | Worksheet 1 | Monday, Sept 9 | Lecture 3 | Numbers and Operations (A.1) Part III |
Appendix Review Exercises #11-24 odd (you can use a calculator) | |
| Tuesday, Sept 10 | Lecture 4, Tutorial 1 (Section 2) | Basic Algebra (A.2) | A.2 #1-28 odd |
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| Thursday, Sept 12 | Lecture 5, Tutorial 1 (Section 3) | Basic Algebra (A.2) Part II |
A.2 #29-88 odd | |||
| Friday, Sept 13 | Tutorial 1 (Section 1 and 4) | |||||
| 3 | Worksheet 2 | Monday, Sept 16 | Lecture 6 | Inequalities (A.1) | A.1 #13-18 odd Appendix Review Exercises #31-54 odd |
|
| Tuesday, Sept 17 | Lecture 7, Tutorial 2 (Section 2) | Introduction to Functions (1.1) | 1.1 #1-14 odd, #19-38 odd, #43-50 odd, #51, #55, #67, #71, #77; Chapter 1 Review Exercises #1-7 odd, #41 | |||
| Thursday, Sept 19 | Lecture 8, Tutorial 2 (Section 3) | Graphs of Functions (1.2) | 1.2 #1-6 odd, #13-15, #19-22, #29-34 (graphing lines will be covered in more detail on Monday), #39, #45, #57, #67, Chapter 1 Review Exercises #7, #9, #15, #17 | |||
| Friday, Sept 20 | Tutorial 2 (Section 1 and 4) | HW 0, HW 1 | ||||
| 4 | Worksheet 3 | Monday, Sept 23 | Lecture 9 | Linear Functions (1.3) | 1.3 #1-8 odd, #13-36 odd, #37-41 odd, #49, #51, Chapter 1 Review Exercises #11-15 odd, #47, #49, #55a/b | |
| Tuesday, Sept 24 | Lecture 10, Tutorial 3 (Sections 2 and 4) | Functional Models (1.4) | 1.4 #1, 5, 7, 9, 17, 19 (this problem was also worked out in lecture), 21, 23, 27, 29, 31, 33, 35, 37, 39 (this is also a problem on Tutorial Worksheet 3), 45a/b, 47, 53, 55, 57, 59 | |||
| Thursday, Sept 26 | Lecture 11, Tutorial 3 (Section 3) | Limits (1.5) | 1.5 #1-26 odd | |||
| Friday, Sept 27 | Tutorial 3 (Section 1 and 4) | HW 2 | ||||
| 5 | Worksheet 4 | Monday, Sept 30 | Lecture 12 | Review of Lectures 1-10 | Any of the above review problems are good practice. In particular, Chapter 1 Review Exercises #1-36 are good practice. | |
| Tuesday, Oct 1 | Lecture 13, Tutorial 4 (Section 2) | Limits (1.5), Part II | 1.5 #27-36 odd, #43-47 odd, #49, #51, #53, #59, Chapter 1 Review Exercises #19-30 odd | |||
| Wednesday, Oct 2 | Midterm 1 | |||||
| Thursday, Oct 3 | Lecture 14, Tutorial 4 (Section 3) | One-Sided Limits and Continuity (1.6) | 1.6 #1-42 odd (it may help to sketch a graph for the piecewise functions in #17-42) | |||
| Friday, Oct 4 | Tutorial 4 (Section 1 and 4) | HW 3 | ||||
| 6 | Worksheet 5 | Monday, Oct 7 | Lecture 15 | The Derivative (2.1) | 2.1 #1-55 odd, #63 | |
| Tuesday, Oct 8 | Lecture 16, Tutorial 5 (Section 2) | Techniques of Differentiation (2.2), Product and Quotient Rules (2.3) |
2.2 #1-46 odd, #53, #55, #59, #63, #67, #71, #73 2.3 #1-23 odd, #29-47 odd |
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| Thursday, Oct 10 | Lecture 17, Tutorial 5 (Section 3) | Higher-Order derivatives (2.3 cont'd) The Chain Rule (2.4) |
2.3 #49, #51, #55, #59, #61-69 odd 2.4 #1-63 odd |
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| Friday, Oct 11 | Tutorial 5 (Section 1 and 4) | HW 4 | ||||
| 7 | Worksheet 6 | Monday, Oct 21 | Lecture 18 | The Chain Rule (2.4), Part II Marginal Analysis and Approximations Using Increments (2.5) |
2.4 #67, #69, #71 2.5 #1-7 odd |
|
| Tuesday, Oct 22 | Lecture 19, Tutorial 6 (Section 2) | Approximation Using Increments (2.5), Part II Implicit Differentiation and Related Rates (2.6) |
2.5 #11-27 odd 2.6 #1-29 odd, |
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| Thursday, Oct 24 | Lecture 20, Tutorial 6 (Section 3) | Related Rates (2.6) - Part II Increasing and Decreasing Functions (3.1) |
2.6 #31(a), #33(a), #35(a), #37, #41-51 odd 3.1 #1, #3, #9-21 odd |
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| Friday, Oct 25 | Tutorial 6 (Section 1 and 4) | |||||
| 8 | Worksheet 7 | Monday, Oct 28 | Lecture 21 | Increasing and Decreasing Functions - Part II, Relative Extrema (3.1) | 3.1 #9-21 odd | |
| Tuesday, Oct 29 | Lecture 22, Tutorial 7 (Section 2) | Relative Extrema (3.1), Concavity (3.2) |
3.1 #23-51 odd, #53-59 odd, #69-73 odd | HW 5 | ||
| Thursday, Oct 31 | Lecture 23, Tutorial 7 (Section 3) | Concavity and Points of Inflection (3.2), The Second Derivative Test (3.2) |
3.2 #1-47 odd, #53-65 odd. Note: Don't worry about problems that ask you to sketch the graph of a function; you will see much more of this in Section 3.3. (Of course, you can try to sketch the graph of the function if you want.) | |||
| Friday, Nov 1 | Tutorial 7 (Section 1 and 4) | |||||
| 9 | Worksheet 8 | Monday, Nov 4 | Lecture 24 | Review of Lectures 11-20 | Any of the above review problems are good practice. In particular, Chapter 2 and Chapter 3 Review Exercises #1-36, and (respec.), are good practice. | |
| Tuesday, Nov 5 | Lecture 25, Tutorial 8 (Section 2) | The Second Derivative Test - Part II (3.2) Curve Sketching with Calculus (3.3) |
3.3 #1-43 odd | |||
| Wednesday, Nov 6 | Midterm 2 | |||||
| Thursday, Nov 7 | Lecture 26, Tutorial 8 (Section 3) | Curve Sketching with Calculus - Part II (3.3) | 3.3 #1-43 odd, #49, #53, #55, #59 | |||
| Friday, Nov 8 | Tutorial 8 (Section 1 and 4) | |||||
| 10 | Worksheet 9 | Monday, Nov 11 | Lecture 27 | Optimization (3.4) | 3.4 #1-9 odd, #45, #49 | |
| Tuesday, Nov 12 | Lecture 28, Tutorial 9 (Section 2) | Optimization - Part II (3.4) | 3.4 #11-19 odd, #31, #37, #39, #57, #59 | HW 6 | Thursday, Nov 14 | Lecture 29, Tutorial 9 (Section 3) | Additional Applied Optimization (3.5) | 3.5 #1-7 odd, #11-17 odd, #23, #29(a)-(c), #39, #41, #45 |
| Friday, Nov 15 | Tutorial 9 (Section 1 and 4) | |||||
| 11 | Worksheet 10 | Monday, Nov 18 | Lecture 30 | Applied Optimization - Part II (3.5) Exponential Functions (4.1) |
4.1 #3-17 odd | |
| Tuesday, Nov 19 | Lecture 31, Tutorial 10 (Sections 2 and 4) | Exponential Functions - Part II, Continuous Compounding (4.1) | 4.1 #19-27 odd, #35(a)-(c), #37(a)-(c), #45, #51, #61-69 odd | |||
| Thursday, Nov 21 | Lecture 32, Tutorial 10 (Section 3) | Continuous Compounding - Part II (4.1) | 4.1 #35(d), #37(d), #39, #41, #47, #49 | |||
| Friday, Nov 22 | Tutorial 10 (Section 1 and 4) | HW 7 | ||||
| 12 | Worksheet 11 | Monday, Nov 25 | Lecture 33 | Review of Lectures 21-30 | Any of the above review problems are good practice. In particular, Chapter 2 and Chapter 3 Review Exercises #1-36, and (respec.), are good practice. | |
| Tuesday, Nov 26 | Lecture 34, Tutorial 11 (Section 2) | Logarithmic Functions (4.2) | 4.2 #3-41 odd, #43-57 odd | |||
| Wednesday, Nov 27 | Midterm 3 | |||||
| Thursday, Nov 28 | Lecture 35, Tutorial 11 (Section 3) | Differentiation of Exponential and Logarithmic Functions (4.3) | 4.3 #1-11 odd, #39-43 odd, #47, #49, #53, #73 | |||
| Friday, Nov 29 | Tutorial 11 (Section 1 and 4) | |||||
| 13 | N/A (no tutorials) | Monday, Dec 2 | Lecture 36 | Differentiation of Logarithmic and Exponential Functions (4.3) | 4.3 #13-37 odd, #45, #51, #55 | |
| Tuesday, Dec 3 | Lecture 37 | Applications, Exponential Models (4.4) | 4.4 #21, #25, #39, #41, #47(b)-(d), Chapter 4 Review #51, #53, #62, #65(a), #75 | |||
| Thursday, Dec 5 | ||||||
| Friday, Dec 6 | HW 8 | |||||
| 14 | N/A (no tutorials) | Monday, Dec 9 | No activities | |||
| Tuesday, Dec 10 | No activities | |||||
| Thursday, Dec 12 | No activities | |||||
| Friday, Dec 13 | No activities | |||||
| 15 | N/A (no tutorials) | Tuesday, Dec 17 | Final Exam 1K03 |