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**Credit**: 1

**Prerequisites**: Trigonometry/Pre-Calculus

**Test Prep**: CLEP, AP Calculus BC Note: If you are planning on taking the AP exam, please realize that it will cover things at the very end of the course. Plan your timing so that you will know that material before you take the test.

**Course Description**: This introductory calculus course covers differentiation and integration of functions of one variable, with applications. It is built from MIT’s Open Courseware Calculus course. Students will be using a traditional textbook for this course along with a study guide. There are optional video lectures for students who prefer to learn by listening. There is a midterm and final, but the goal that is emphasized is the daily understanding of the information in the given lesson. Students are rewarded for going back and figuring out any problems they got wrong in any given assignment. For a complete list of topics covered see lessons 1.1 through 10.4.

**Notes**: You will be able to use a graphing calculator in this course. On the AP exam you are able to use a calculator on part of the exam as well. If you don’t have one, here’s a free online graphing calculator you can use. When you need graph paper, you can print graph paper from here. In your assignments, if a problem you need to do refers to another problem, you will have to do that as well. When you are checking your answers sometimes an answer will vary; you will count your answer as correct if you found an answer. If you are stuck, here’s a site that might be able to help you solve an equation.

**Lesson 1 (*) (Note that an asterisk * indicates that there is a worksheet in this lesson.)**

- If you didn’t get here through My EP Assignments, I suggest you go there and create an account.
- Scroll up to read your learning outcomes and all the notes on this course.
- (*) Print out the first quarter or use the Excel version.
- Read section 1.1, Velocity and Distance. Chapter 1.1 – 1.4
- Use the study guide for chapter 1 along with the reading.
- There’s an outline of the lesson right under where it says “Exercises 1.1.” Every section has this. Try to fill in the blanks from the reading.

**Lesson** 2

- Use section 1.1 again and answer questions (the multiples of 3 up to 45). Chapter 1.1 – 1.4
- Check your answers for the chapter outline with the blanks filled in. That info is the most important “take away” for each chapter. Work to understand that section each time.

**Lesson** 3

- Use section 1.1 to check all of your answers. Chapter 1.1 – 1.4
- Figure out your mistakes and work on other problems and check your answers. Spend 40 minutes working.
- Record your score out of 10. Subtract one point for every problem you can’t figure out the right answer to. (This is always referring to the problems you did in the lesson before and then worked on again if necessary.)

**Lesson** 4

- Read section 1.2, Calculus without Limits. Chapter 1.1 – 1.4
- Use the study guide for chapter 1 along with the reading.
- There’s an outline of the lesson right under where it says “Exercises 1.2.” Try to fill in the blanks from the reading.

**Lesson** 5

- Use section 1.2 again and answer the questions (the multiples of 3 up to 45). Chapter 1.1 – 1.4
- Check your answers for the chapter outline with the blanks filled in.

**Lesson** 6

- Use section 1.2 to check your answers. Chapter 1.1 – 1.4
- Figure out your mistakes and work on other questions and check your answers. Spend 40 minutes working.
- Record your score out of 10. Subtract one point for every problem you can’t figure out the right answer to.

**Lesson** 7

- Read section 1.3, Velocity and Distance. Chapter 1.1 – 1.4
- Use the study guide for chapter 1 along with the reading.
- Complete the “Read-Through Questions” at the end of the section. Fill in the blanks from the reading.

**Lesson** 8

- Use section 1.3 again and answer questions (the multiples of 3 up to 27). There’s a link to print graph paper at the top of the course in the “Notes” section. Chapter 1.1 – 1.4
- Check your answers for the chapter outline.

**Lesson** 9

- Use section 1.3 to check all of your answers. Chapter 1.1 – 1.4
- Figure out your mistakes and work on other problems and check your answers. Spend 40 minutes working.
- Record your score out of 10. Subtract one point for every problem you can’t figure out the right answer to.

**Lesson** 10

- Read section 1.4, Circular Motion. Chapter 1.1 – 1.4
- Use the study guide for chapter 1 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 11

- Use section 1.4 again and answer the questions (the multiples of 3 up to 39). Chapter 1.1 – 1.4
- Check your answers for the chapter outline.

**Lesson** 12

- Use section 1.4 to check your answers. Chapter 1.1 – 1.4
- Figure out your mistakes and work on other questions and check your answers. Spend 40 minutes working.
- Record your score out of 10. Subtract one point for every problem you can’t figure out the right answer to.

**Lesson** 13

- Read section 1.5, Circular Motion. Chapter 1.5 – 1.7
- Use the study guide for chapter 1 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 14

- Use section 1.5 again and answer the questions (the multiples of 3 up to 36). Chapter 1.5 – 1.7
- Check your answers for the chapter outline.

**Lesson** 15

- Use section 1.5 to check your answers. Chapter 1.5 – 1.7
- Do question 37. Figure out your mistakes from Lesson 14 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 16

- Read sections 1.6 and 1.7. Chapter 1.5 – 1.7

**Lesson** 17

- Practice with your graphing calculator or with an online option. See “Notes” at the top of the page.

**Lesson** 18

- Read section 2.1, The Derivative of a Function. Chapter 2.1 – 2.4
- Use the study guide for chapter 2 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 19

- Use section 2.1 again and answer the questions (the multiples of 3 up to 39). Chapter 2.1 – 2.4
- Check your answers for the chapter outline.

**Lesson** 20

- Use section 2.1 to check your answers. Chapter 2.1 – 2.4
- Figure out your mistakes from Lesson 19 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 21

- Read section 2.2, Powers and Polynomials. Chapter 2.1 – 2.4
- Use the study guide for chapter 2 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 22

- Use section 2.2 again and answer the questions (the multiples of 3 up to 42). Chapter 2.1 – 2.4
- Check your answers for the chapter outline.

**Lesson** 23

- Use section 2.2 to check your answers. Chapter 2.1 – 2.4
- Do number 49. Check your answer.
- Figure out your mistakes from Lesson 22 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 24

- Read section 2.3, The Slope and the Tangent Line. Chapter 2.1 – 2.4
- Use the study guide for chapter 2 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 25

- Use section 2.3 again and answer the questions (the multiples of 3 up to 39). Chapter 2.1 – 2.4
- Check your answers for the chapter outline.

**Lesson** 26

- Use section 2.3 to check your answers. Chapter 2.1 – 2.4
- Do number 45. Check your answer.
- Figure out your mistakes from Lesson 25 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 27

- Here’s something different today. Watch this calculus class given at MIT.
- Decide if you want to watch more of these lectures. Decide if it’s profitable to you. Do you learn more easily when you hear it and see it explained, instead of reading it?
- I don’t have the time to put these classes on a separate day. I will link to them though, and you can use them if they are helpful to you.

**Lesson** 28

- Read section 2.4, Derivative of the Sine and Cosine. Chapter 2.1 – 2.4
- Use the study guide for chapter 2 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 29

- Use section 2.4 again and answer the questions (the multiples of 3 up to 30). Chapter 2.1 – 2.4
- Check your answers for the chapter outline.

**Lesson** 30

- Use section 2.4 to check your answers. Chapter 2.1 – 2.4
- Do number 33.
- Figure out your mistakes from Lesson 29 and work on other questions and check your answers. Spend 40 minutes working. (If you find it more helpful, you could use the video of lecture 3 instead for today’s lesson .)

**Lesson** 31

- Read section 2.5, The Product and Quotient and Power Rules. Chapter 2.5 – 2.7
- Use the study guide for chapter 2 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 32

- Use section 2.5 again and answer the questions (the multiples of 3 up to 45). Chapter 2.5 – 2.7
- Check your answers for the chapter outline.

**Lesson** 33

- Use section 2.5 to check your answers. Chapter 2.5 – 2.7
- Figure out your mistakes from Lesson 32 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 34

- Read section 2.6, Limits. Chapter 2.5 – 2.7
- Use the study guide for chapter 2 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 35

- Use section 2.6 again and answer the questions (the multiples of 3 up to 42). Chapter 2.5 – 2.7
- Check your answers for the chapter outline.

**Lesson** 36

- Use section 2.6 to check your answers. Chapter 2.5 – 2.7
- Do number 45. Check your answer.
- Figure out your mistakes from Lesson 35 and work on other questions and check your answers. Spend 40 minutes working.
- Or, you can watch lecture 2.

**Lesson** 37

- Read section 2.7, Continuous Functions. Chapter 2.5 – 2.7
- Use the study guide for chapter 2 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 38

- Use section 2.7 again and answer the questions (the multiples of 3 up to 39). Chapter 2.5 – 2.7
- Check your answers for the chapter outline.

**Lesson** 39

- Use section 2.7 to check your answers. Chapter 2.5 – 2.7
- Do number 42. Check your answer.
- Figure out your mistakes from Lesson 38 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 40

- Read section 3.1, Linear Approximation. Chapter 3.1 – 3.4
- Use the study guide for chapter 3 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 41

- Use section 3.1 again and answer the questions (the multiples of 3 up to 24, and 29-31). Chapter 3.1 – 3.4
- Check your answers for the chapter outline.

**Lesson** 42

- Use section 3.1 to check your answers. Chapter 3.1 – 3.4
- Figure out your mistakes from Lesson 41 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 43

- Read section 3.2, Maximum and Minimum Problems. Chapter 3.1 – 3.4
- Use the study guide for chapter 3 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 44

- Use section 3.2 again and answer the questions (the multiples of 3 up to 60). Chapter 3.1 – 3.4
- Check your answers for the chapter outline.

**Lesson** 45

- Use section 3.2 to check your answers. Chapter 3.1 – 3.4
- Figure out your mistakes from Lesson 44 and work on other questions and check your answers. Spend 40 minutes working.
- Calculate your grade for this quarter. Save your work.

**Lesson** 46 (*)

- (*)Print out your second quarter grading sheet or use the Excel version.
- Read section 3.3, Second Derivatives: Minimum vs. Maximum. Chapter 3.1 – 3.4
- Use the study guide for chapter 3 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 47

- Use section 3.3 again and answer the questions (the multiples of 3 up to 42). Chapter 3.1 – 3.4
- Check your answers for the chapter outline.

**Lesson** 48

- Use section 3.3 to check your answers. Chapter 3.1 – 3.4
- Figure out your mistakes from Lesson 47 and work on other questions and check your answers. Spend 40 minutes working. You could choose to spend your time today watching lecture 4.

**Lesson** 49

- Read section 3.4, Graphs. Chapter 3.1 – 3.4
- Use the study guide for chapter 3 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 50

- Use section 3.4 again and answer the questions (the multiples of 3 up to 51). Chapter 3.1 – 3.4
- Check your answers for the chapter outline.

**Lesson** 51

- Use section 3.4 to check your answers. Chapter 3.1 – 3.4
- Figure out your mistakes from Lesson 50 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 52

- Read section 3.5, Ellipses, Parabolas, and Hyperbolas. Chapter 3.5 – 3.8
- Use the study guide for chapter 3 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 53

- Use section 3.5 again and answer the questions (the multiples of 3 up to 42). Chapter 3.5 – 3.8
- Check your answers for the chapter outline.

**Lesson** 54

- Use section 3.5 to check your answers. Chapter 3.5 – 3.8
- Figure out your mistakes from Lesson 53 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 55

- Read section 3.6, Iterations x[n+1] = F(x[n]). Chapter 3.5 – 3.8
- Use the study guide for chapter 3 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 56

- Use section 3.6 again and answer the questions (the multiples of 3 up to 36). Chapter 3.5 – 3.8
- Check your answers for the chapter outline.

**Lesson** 57

- Use section 3.6 to check your answers. Chapter 3.5 – 3.8
- Do number 42 and check your answer.
- Figure out your mistakes from Lesson 56 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 58

- Read section 3.7, Newton’s Method and Chaos. Chapter 3.5 – 3.8
- Use the study guide for chapter 3 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 59

- Use section 3.7 again and answer the questions (the multiples of 3 up to 42). Chapter 3.5 – 3.8
- Check your answers for the chapter outline.

**Lesson** 60

- Use section 3.7 to check your answers. Chapter 3.5 – 3.8
- Do number 45 and check your answer.
- Figure out your mistakes from Lesson 59 and work on other questions and check your answers. Spend 40 minutes working.
- Record your score out of 10. Subtract one point for every problem you can’t figure out the right answer to (as always, from the original problem set only).

**Lesson** 61

- Read section 3.8, The Mean Value Theorem and l’Hopital’s Rule. Chapter 3.5 – 3.8
- Use the study guide for chapter 3 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 62

- Use section 3.8 again and answer the questions (the multiples of 3 up to 36). Chapter 3.5 – 3.8
- Check your answers for the chapter outline.

**Lesson** 63

- Use section 3.8 to check your answers. Chapter 3.5 – 3.8
- Figure out your mistakes from Lesson 62 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 64

- Read section 4.1, Derivatives by the Chain Rule. Chapter 4.1 – 4.2
- Use the study guide for chapter 4 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 65

- Use section 4.1 again and answer the questions (the multiples of 3 from 1 to 30 and 42 – 57). Chapter 4.1 – 4.2
- Check your answers for the chapter outline.

**Lesson** 66

- Use section 4.1 to check your answers. Chapter 4.1 – 4.2
- Do numbers 36 and 39 and check your answers.
- Figure out your mistakes from Lesson 65 and work on other questions and check your answers. Spend 40 minutes working.
- Record your score out of 10. Subtract one point for every problem you can’t figure out the right answer to. (This, as always, refers only to the first set of problems you did, the ones from Lesson 65.)

**Lesson** 67

- Read section 4.2, Implicit Differentiation and Related Rates. Chapter 4.1 – 4.2
- Use the study guide for chapter 4 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 68

- Use section 4.2 again and answer the questions (the multiples of 3 from 1 to 27). Chapter 4.1 – 4.2
- Check your answers for the chapter outline.

**Lesson** 69

- Use section 4.2 to check your answers. Chapter 4.1 – 4.2
- Figure out your mistakes from Lesson 68 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 70

- Read section 4.3, Inverse Functions and Their Derivatives. Chapter 4.3-4.4
- Use the study guide for chapter 4 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 71

- Use section 4.3 again and answer the questions (the multiples of 3 to 42, and do number 48). Chapter 4.3-4.4
- Check your answers for the chapter outline.

**Lesson** 72

- Use section 4.3 to check your answers. Chapter 4.3-4.4
- Do number 59 and check your answers.
- Figure out your mistakes from Lesson 71 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 73

- Read section 4.4, Inverses of Trigonometric Functions. Chapter 4.3-4.4
- Use the study guide for chapter 4 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 74

- Use section 4.4 again and answer the questions (the multiples of 3 to 45, and do number 50). Chapter 4.3-4.4
- Check your answers for the chapter outline.

**Lesson** 75

- Use section 4.4 to check your answers. Chapter 4.3-4.4
- Figure out your mistakes from Lesson 74 and work on other questions and check your answers. Spend 40 minutes working. You could decide it would be better to watch the lecture on inverses, lecture 5.
- On Lesson 91 you will have a midterm exam on questions you have been assigned from the beginning up through section 5.4. The test will be made up of only problems you have already been assigned.

**Lesson** 76

- Read section 5.1, The Idea of an Integral. Chapter 5.1 – 5.4
- Use the study guide for chapter 5 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 77

- Use section 5.1 again and answer the questions (the multiples of 3 to 24). Chapter 5.1 – 5.4
- Check your answers for the chapter outline.

**Lesson** 78

- Use section 5.1 to check your answers. Chapter 5.1 – 5.4
- Figure out your mistakes from Lesson 77 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 79

- Read section 5.2, Antiderivatives. Chapter 5.1 – 5.4
- Use the study guide for chapter 5 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 80

- Use section 5.2 again and answer the questions (the multiples of 3 to 33). Chapter 5.1 – 5.4
- Check your answers for the chapter outline.

**Lesson** 81

- Use section 5.2 to check your answers. Chapter 5.1 – 5.4
- Figure out your mistakes from Lesson 80 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 82

- Read section 5.3, Summation vs. Integration. Chapter 5.1 – 5.4
- Use the study guide for chapter 5 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 83

- Use section 5.3 again and answer the questions (the multiples of 3 to 30). Chapter 5.1-5.4
- Check your answers for the chapter outline.

**Lesson** 84

- Use section 5.3 to check your answers. Chapter 5.1 – 5.4
- Do number 33 and check your answer.
- Figure out your mistakes from Lesson 83 and work on other questions and check your answers. Spend 40 minutes working.

**Lesson** 85

- Read section 5.4, Indefinite Integrals and Substitutions. Chapter 5.1 – 5.4
- Use the study guide for chapter 5 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 86

- Use section 5.4 again and answer the questions (the multiples of 3 to 36). Chapter 5.1 – 5.4
- Check your answers for the chapter outline.

**Lesson** 87

- Use section 5.4 to check your answers. Chapter 5.1 – 5.4
- Figure out your mistakes from Lesson 86 and work on other questions and check your answers. Spend 40 minutes working.
- On Lesson 91 you will be tested on problems you have been assigned up to this point. (All of the questions will be from your normally assigned work, not from any extra problems given you.) You need to keep moving on your coursework, but you can also take some time to look over your work to prepare.

**Lesson** 88

- Read section 5.5, The Definite Integral. Chapter 5.5 – 5.8
- Use the study guide for chapter 5 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 89

- Use section 5.5 again and answer the questions (the multiples of 3 to 33). Chapter 5.5 – 5.8
- Check your answers for the chapter outline.

**Lesson** 90

- Use section 5.5 to check your answers. Chapter 5.5 – 5.8
- Figure out your mistakes from Lesson 89 and go over your assigned work from the course to prepare for your midterm. You could do a problem from each section for practice.
- Lesson 91 is a midterm on Chapters 1 through 5.4.
- Calculate your grade for this quarter.

** Lesson 91 **(*)

- (*)Print out your third quarter grading sheet or use the Excel version.
- Take your Calculus Midterm.
- Check your answers. You may award partial credit. Add 1 to your score and record it.

**Lesson** 92

- Read section 5.6, Properties of the Integral and the Average Value. Chapter 5.5 – 5.8
- Use the study guide for chapter 5 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 93

- Use section 5.6 again and answer the questions (the multiples of 3 to 36). Chapter 5.5 – 5.8
- Check your answers for the chapter outline.

**Lesson** 94

- Use section 5.6 to check your answers. Chapter 5.5 – 5.8
- Start the one minute timer and do number 39.
- Figure out your mistakes from Lesson 93 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 95

- Read section 5.7, The Fundamental Theorem and Its Consequences. Chapter 5.5 – 5.8
- Use the study guide for chapter 5 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 96

- Use section 5.7 again and answer the questions (the multiples of 3 to 36). Chapter 5.5 – 5.8
- Check your answers for the chapter outline.

**Lesson** 97

- Use section 5.7 to check your answers. Chapter 5.5 – 5.8
- Figure out your mistakes from Lesson 96 and work on other problems from the section for practice. Keep checking your answers as you go.

**Lesson** 98

- Read section 5.8, Numerical Integration. Chapter 5.5 – 5.8
- Use the study guide for chapter 5 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 99

- Use section 5.8 again and answer the questions (the multiples of 3 to 27). Chapter 5.5 – 5.8
- Check your answers for the chapter outline.

**Lesson** 100

- Use section 5.8 to check your answers. Chapter 5.5 – 5.8
- Figure out your mistakes from Lesson 99 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 101

- Read section 6.1, An Overview. Chapter 6.1 – 6.4
- Use the study guide for chapter 6 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 102

- Use section 6.1 again and answer the questions (the multiples of 3 to 27). Chapter 6.1 – 6.4
- Check your answers for the chapter outline.

**Lesson** 103

- Use section 6.1 to check your answers. Chapter 6.1 – 6.4
- Figure out your mistakes from Lesson 102 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 104

- Read section 6.2, The Exponential e^x. Chapter 6.1 – 6.4
- Use the study guide for chapter 6 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 105

- Use section 6.2 again and answer the questions (the multiples of 3 to 48). Chapter 6.1 – 6.4
- Check your answers for the chapter outline.

**Lesson** 106

- Use section 6.2 to check your answers. Chapter 6.1 – 6.4
- Figure out your mistakes from Lesson 105 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 107

- Read section 6.3, The Exponential e^x. Chapter 6.1 – 6.4
- Use the study guide for chapter 6 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 108

- Use section 6.3 again and answer the questions (the multiples of 3 to 51). Chapter 6.1 – 6.4
- Check your answers for the chapter outline.

**Lesson** 109

- Use section 6.3 to check your answers. Chapter 6.1 – 6.4
- Do number 66 and check your answer.
- Figure out your mistakes from Lesson 108 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 110

- Read section 6.4, Logarithms. Chapter 6.1 – 6.4
- Use the study guide for chapter 6 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 111

- Use section 6.4 again and answer the questions (the multiples of 3 to 66). Chapter 6.1 – 6.4
- Check your answers for the chapter outline.

**Lesson** 112

- Use section 6.4 to check your answers. Chapter 6.1 – 6.4
- Figure out your mistakes from Lesson 111 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 113

- Read section 6.5, Separable Equations Including the Logistic Equation. Chapter 6.5 – 6.7
- Use the study guide for chapter 6 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 114

- Use section 6.5 again and answer the questions (the multiples of 3 to 33). Chapter 6.5 – 6.7
- Check your answers for the chapter outline.

**Lesson** 115

- Use section 6.5 to check your answers. Chapter 6.5 – 6.7
- Figure out your mistakes from Lesson 114 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 116

- Read section 6.6, Powers Instead of Exponentials. Chapter 6.5 – 6.7
- Use the study guide for chapter 6 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 117

- Use section 6.6 again and answer the questions (the multiples of 3 to 39). Chapter 6.5 – 6.7
- Check your answers for the chapter outline.

**Lesson** 118

- Use section 6.6 to check your answers. Chapter 6.5 – 6.7
- Figure out your mistakes from Lesson 117 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 119

- Read section 6.7, Hyperbolic Functions. Chapter 6.5 – 6.7
- Use the study guide for chapter 6 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 120

- Use section 6.7 again and answer the questions (the multiples of 3 to 54). Chapter 6.5 – 6.7
- Check your answers for the chapter outline.

**Lesson** 121

- Use section 6.7 to check your answers. Chapter 6.5 – 6.7
- Figure out your mistakes from Lesson 120 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working. Or, you might want to watch lecture 6.

**Lesson** 122

- Read section 7.1, Integration by Parts. Chapter 7.1 – 7.3
- Use the study guide for chapter 7 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 123

- Use section 7.1 again and answer the questions (the multiples of 3 to 54). Chapter 7.1 – 7.3
- Check your answers for the chapter outline.

**Lesson** 124

- Use section 7.1 to check your answers. Chapter 7.1 – 7.3
- Figure out your mistakes from Lesson 123 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 125

- Read section 7.2, Trigonometric Integrals. Chapter 7.1 – 7.3
- Use the study guide for chapter 7 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 126

- Use section 7.2 again and answer the questions (the multiples of 3 to 54). Chapter 7.1 – 7.3
- Check your answers for the chapter outline.

**Lesson** 127

- Use section 7.2 to check your answers. Chapter 7.1 – 7.3
- Figure out your mistakes from Lesson 126 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 128

- Read section 7.3, Trigonometric Substitutions. Chapter 7.1 – 7.3
- Use the study guide for chapter 7 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 129

- Use section 7.3 again and answer the questions (the multiples of 3 to 48). Chapter 7.1 – 7.3
- Check your answers for the chapter outline.

**Lesson** 130

- Use section 7.3 to check your answers. Chapter 7.1 – 7.3
- Do number 54 and check your answer.
- Figure out your mistakes from Lesson 129 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 131

- Read section 7.4, Partial Fractions. Chapter 7.4 – 7.5
- Use the study guide for chapter 7 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 132

- Use section 7.4 again and answer the questions (the multiples of 3 to 27). Chapter 7.4- 7.5
- Check your answers for the chapter outline.

**Lesson** 133

- Use section 7.4 to check your answers. Chapter 7.4 – 7.5
- Figure out your mistakes from Lesson 132 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working. Or, you might decide to watch video lecture 29 on partial fractions.

**Lesson** 134

- Read section 7.5, Improper Integrals. Chapter 7.4 – 7.5
- Use the study guide for chapter 7 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 135

- Use section 7.5 again and answer the questions (the multiples of 3 to 27, and do number 29). Chapter 7.4 – 7.5
- Check your answers for the chapter outline.
- Calculate your grade for this quarter. Save your work.

** Lesson 136 **(*)

- (*) Print out your fourth quarter grading sheet or use the Excel version.
- Use section 7.5 to check your answers. Chapter 7.4 – 7.5
- Figure out your mistakes from Lesson 135 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working. Or, you might want to watch a video lecture on integration.

**Lesson** 137

- Read section 8.1, Areas and Volumes by Slices. Chapter 8.1 – 8.3
- Use the study guide for Chapter 8 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 138

- Use section 8.1 again and answer the questions (the multiples of 3 to 57). Chapter 8.1 – 8.3
- Check your answers for the chapter outline.

**Lesson** 139

- Use section 8.1 to check your answers. Chapter 8.1 – 8.3
- Do number 69 and check your answer.
- Figure out your mistakes from Lesson 138 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 140

- Read section 8.2, Length of a Plane Curve. Chapter 8.1 – 8.3
- Use the study guide for Chapter 8 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 141

- Use section 8.2 again and answer the questions (the multiples of 3 to 30). Chapter 8.1 – 8.3
- Check your answers for the chapter outline.

**Lesson** 142

- Use section 8.2 to check your answers. Chapter 8.1 – 8.3
- Figure out your mistakes from Lesson 141 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working. Or you might want to watch video lecture 31.

**Lesson** 143

- Read section 8.3, Area of a Surface of Revolution. Chapter 8.1 – 8.3
- Use the study guide for Chapter 8 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 144

- Use section 8.3 again and answer the questions (the multiples of 3 to 24). Chapter 8.1 – 8.3
- Check your answers for the chapter outline.

**Lesson** 145

- Use section 8.3 to check your answers. Chapter 8.1 – 8.3
- Figure out your mistakes from Lesson 144 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.
- Record your score out of 10. Subtract one point for every problem you can’t figure out the right answer.

**Lesson** 146

- Read section 8.4, Probability and Calculus. Chapter 8.4 – 8.6
- Use the study guide for Chapter 8 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 147

- Use section 8.4 again and answer the questions (the multiples of 3 to 33). Chapter 8.4 – 8.6
- Check your answers for the chapter outline.

**Lesson** 148

- Use section 8.4 to check your answers. Chapter 8.4 – 8.6
- Figure out your mistakes from Lesson 147 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 149

- Read section 8.5, Masses and Moments. Chapter 8.4 – 8.6
- Use the study guide for Chapter 8 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 150

- Use section 8.5 again and answer the questions (the multiples of 3 to 36). Chapter 8.4 – 8.6
- Check your answers for the chapter outline.

**Lesson** 151

- Use section 8.5 to check your answers. Chapter 8.4 – 8.6
- Do number 42 and check your answer.
- Figure out your mistakes from Lesson 150 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 152

- Read section 8.6, Force, Work, and Energy. Chapter 8.4 – 8.6
- Use the study guide for Chapter 8 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 153

- Use section 8.6 again and answer the questions (the multiples of 3 to 21). Chapter 8.4 – 8.6
- Check your answers for the chapter outline.

**Lesson** 154

- Use section 8.6 to check your answers. Chapter 8.4 – 8.6
- Do numbers 23 and 24 and check your answers.
- Figure out your mistakes from Lesson 153 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 155

- Read section 9.1, Polar Coordinates. Chapter 9.1 – 9.2
- Use the study guide for chapter 9 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 156

- Use section 9.1 again and answer the questions (the multiples of 3 to 27). Chapter 9.1 – 9.2
- Check your answers for the chapter outline.

**Lesson** 157

- Use section 9.1 to check your answers. Chapter 9.1 – 9.2
- Figure out your mistakes from Lesson 156 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working. Or, you might want to watch the video lecture on polar coordinates.

**Lesson** 158

- Read section 9.2, Polar Equations and Graphs. Chapter 9.1 – 9.2
- Use the study guide for chapter 9 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 159

- Use section 9.2 again and answer the questions (the multiples of 3 to 32). Chapter 9.1 – 9.2
- Check your answers for the chapter outline.

**Lesson** 160

- Use section 9.2 to check your answers. Chapter 9.1 – 9.2
- Figure out your mistakes from Lesson 159 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 161

- Read section 9.3, Slope, Length, and Area for Polar Curves. Chapter 9.3 – 9.4
- Use the study guide for chapter 9 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 162

- Use section 9.3 again and answer the questions (the multiples of 3 to 35). Chapter 9.3 – 9.4
- Check your answers for the chapter outline.

**Lesson** 163

- Use section 9.3 to check your answers. Chapter 9.3 – 9.4
- Figure out your mistakes from Lesson 162 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 164

- Read section 9.4, Complex Numbers. Chapter 9.3 – 9.4
- Use the study guide for chapter 9 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 165

- Use section 9.4 again and answer the questions (the multiples of 3 to 33). Chapter 9.3 – 9.4
- Check your answers for the chapter outline.

**Lesson** 166

- Use section 9.4 to check your answers. Chapter 9.3 – 9.4
- Figure out your mistakes from Lesson 165 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 167

- Read section 10.1, The Geometric Series. Chapter 10.1 – 10.3
- Use the study guide for chapter 10 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 168

- Use section 10.1 again and answer the questions (the multiples of 3 to 42). Chapter 10.1 – 10.3
- Check your answers for the chapter outline.

**Lesson** 169

- Use section 10.1 to check your answers. Chapter 10.1 – 10.3
- Do number 43 and check your answer.
- Figure out your mistakes from Lesson 168 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 170

- Read section 10.2, Convergence Tests: Positive Series. Chapter 10.1 – 10.3
- Use the study guide for chapter 10 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 171

- Use section 10.2 again and answer the questions (the multiples of 3 to 60). Chapter 10.1 – 10.3
- Check your answers for the chapter outline.

**Lesson** 172

- Use section 10.2 to check your answers. Chapter 10.1 – 10.3
- Figure out your mistakes from Lesson 171 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working.

**Lesson** 173

- Read section 10.3, Convergence Tests: All Series. Chapter 10.1 – 10.3
- Use the study guide for chapter 10 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 174

- Use section 10.3 again and answer the questions (the multiples of 3 to 36). Chapter 10.1 – 10.3
- Check your answers for the chapter outline.

**Lesson** 175

- Use section 10.3 to check your answers. Chapter 10.1 – 10.3
- Figure out your mistakes from Lesson 174 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working. Or, you might want to watch this lecture on infinite series and convergence tests.

**Lesson** 176

- Read section 10.4, The Taylor Series for e^x, sin x, and cos x. Chapter 10.4 – 10.5
- Use the study guide for chapter 10 along with the reading.
- Fill in the blanks in the “Read-Through Questions” section.

**Lesson** 177

- Use section 10.4 again and answer the questions (the multiples of 3 to 48). Chapter 10.4 – 10.5
- Check your answers for the chapter outline.

**Lesson** 178

- Use section 10.4 to check your answers. Chapter 10.4 – 10.5
- Figure out your mistakes from Lesson 174 and work on other problems for practice. Keep checking your answers as you go. Spend 40 minutes working. Or, you might want to watch this video lecture on the Taylor Series.

**Lesson** 179

- On Lesson 180 you are having a final. There will be one question from each of the first four chapters and two questions from each of last six chapters. They will all be problems that you have been assigned.
- Here’s a review lecture from some things up through hyperbolic functions in 6.7.
- Here’s a review video from right after polar coordinates.

**Lesson** 180

- Take your calculus final. Read the directions below. Don’t lose points! There are 21 questions.
- READ THE DIRECTIONS on the site.
- Carefully type in your answers. It will accept variations for the answer, but better to just do it right to make sure.
- Show your work to get all the points. Do your work on separate paper.
- Finish in one seating (no getting up for any reason). In a school final there’s no getting up and walking around or getting a drink, not even going to the bathroom.
- This is the grading scale. Start with 100 points. Subtract off 3 points for any wrong answer.
- For any answer you skipped and have no work to show for, subtract off an additional 2 points.

- Record your total out of 100.
- Congratulations! If you are planning on taking the AP exam, practice. Here are practice exams.
- Save your work for your portfolio. Save your final. To figure out your final grade, divide your total number of points for all four quarters into the total possible for all four quarters.

## Donate/Say Thanks

This course is derived from: David Jerison. *18.01 Single Variable Calculus, Fall 2006*. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed 29 Dec, 2015). License: Creative Commons BY-NC-SA