Welcome and Course Outline

Calculus 12 Introduction

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Prerequisite: Math 12

Welcome to Calculus 12! You will learn about the four major concepts of calculus: the limit, the derivative, the definite integral and the indefinite integral. For each concept, you will learn the exact definition, have an intuitive understanding of it, be able to use the concept and apply it. You will learn about these concepts numerically, graphically, algebraically and verbally. Along the way, you will learn some of the history of calculus too.

*You need the following:

1. Calculus 12: Concepts and Applications textbook (Rented)

2. Graphing Calculator

To receive credit for Calculus 12, you will:

a) Complete eight chapters and their exercises

b) Write seven chapter tests (Chapters 7 and 8 are combined on one test)

c) Write a final exam (you must score 50% to pass the course)

You will complete the following chapters:

Marks:

Chapter 1 Limits, Derivatives, Integrals 10%

Chapter 2 Properties of Limits 10%

Chapter 3 Derivatives, Antiderivatives and

Indefinite Integrals 10%

Chapter 4 Products, Quotients and Parametric

Functions 10%

Chapter 5 Definite and Indefinite Integrals 10%

Chapter 6 The Calculus of Exponential and

Logarithmic Functions 10%

Chapter 7 The Calculus of Growth and Decay

Chapter 8 The Calculus of Plane and Solid

Figures 10%

Final Exam 30%

100%

Chapter 1

Limits, Derivatives and Integrals

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1. Read Sections 1-1 to 1-5. Do the Problem Sets after each section, including the Quick Reviews. NOTE: Complete only the ODD questions.

2. Check your answers at the back of the book. If you have any questions, ask a teacher.

3. Do Section 1-6 Review Problems (all).

4. If you need more practice, complete the Concept Problems and practice Chapter Test. Ask your teacher for the answer key.

5. Do a complete review of what you have learned in this chapter and ask a teacher for the Chapter 1 test. NOTE: Part 1 of the test is without a graphing calculator. Graphing calculators are allowed in Part 2.

6. Good Luck!

Chapter 2

Properties of Limits

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1. Read Sections 2-1 to 2-3. Do the Problem Sets after each section, including the Quick Reviews. NOTE: Complete only the ODD questions.

2. Read Section 2-4. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #45

3. Read Section 2-5. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #11 AND 13

4. OMIT Section 2-6.

5. Check your answers at the back of the book. If you have any questions, ask a teacher.

6. Do Section 2-7 Review Problems (all).

7. If you need more practice, complete the Concept Problems and practice Chapter Test. Ask your teacher for the answer key.

8. Do a complete review of what you have learned in this chapter and ask a teacher for the Chapter 2 test. NOTE: Part 1 of the test is without a graphing calculator. Graphing calculators are allowed in Part 2.

9. Good Luck!

Chapter 3

Derivatives, Antiderivatives and Indefinite Integrals

1. Read Sections 3-1 and 3-2. Do the Problem Sets after each section, including the Quick Reviews. NOTE: Complete only the ODD questions.

2. Read Section 3-3. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #13, 15 and 17.

3. Read Section 3-4. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #37

4. Read Sections 3-5 to 3-7. Do the Problem Sets, including the Quick Reviews. NOTE: Complete only the ODD questions.

5. Read Section 3-8. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #7 and #13

6. Read Section 3-9. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions.

7. Check your answers at the back of the book. If you have any questions, ask a teacher.

8. Do Section 3-10 Review Problems (all).

9. If you need more practice, complete the Concept Problems and practice Chapter Test. Ask your teacher for the answer key.

10. Do a complete review of what you have learned in this chapter and ask a teacher for the Chapter 3 test. NOTE: Part 1 of the test is without a graphing calculator. Graphing calculators are allowed in Part 2.

11. Good Luck!

Chapter 4

Products, Quotients and Parametric

Functions

1. Read Section 4-1. Do the Problem Set, including the Quick Review. NOTE: Complete only the ODD questions. OMIT #31 AND #35.

2. Read Section 4-2. Do the Problem Set, including the Quick Review. NOTE: Complete only the ODD questions. OMIT #31 AND #35.

3. Read Sections 4-3. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #31 and #33.

4. Read Sections 4-4. You ONLY need to know the derivative of the Tangent function. Do the following questions ONLY from the Problem Set: #1, 9, 15, 19, 23, 25, 31 (omit c), 33, 35 c.

5. Read Sections 4-5. You ONLY need to know the derivatives of the inverse sine and tangent functions. Do the following questions from the Problem Set: #7, 13, 21, 23, 25.

6. Read Sections 4-6. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #31.

7. Read Sections 4-7. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #13 and #15.

8. Read Sections 4-8. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #19, and #25 c.

9. Read Sections 4-9. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #13.

10. Check your answers at the back of the book. If you have any questions, ask a teacher.

11. Do Section 4-10 Review Problems (all).

12. If you need more practice, complete the Concept Problems and practice Chapter Test. Ask your teacher for the answer key.

13. Do a complete review of what you have learned in this chapter and ask a teacher for the Chapter 4 test. NOTE: Part 1 of the test is without a graphing calculator. Graphing calculators are allowed in Part 2.

14. Good Luck!

Chapter 5

Definite and Indefinite Integrals

1. Read Section 5-1. Do the Problem Set. NOTE: Complete only the ODD questions.

2. Read Section 5-2 starting at Example 3 on page 193. Do the Problem Set, including the Quick Review. NOTE: Complete only the ODD questions. OMIT #1-7, #41.

3. Read Sections 5-3. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #25, 31, 35 and #37.

4. Read Sections 5-4. Do the following questions ONLY from the Problem Set: #1, 3, 9, and 11.

5. OMIT Section 5-5

6. Read Sections 5-6 starting from page 224 “Property : The Fundamental Theorem of Calculus”. Do the following questions from the Problem Set: #1 a, 3, and 7.

7. Read Sections 5-7. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #39.

8. Read Sections 5-8. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #9,11, 29 and #31.

9. OMIT Section 5-9 and 5-10.

10. Check your answers at the back of the book. If you have any questions, ask a teacher.

11. Do Section 5-11 Review Problems (all).

12. If you need more practice, complete the Concept Problems and practice Chapter Test. Ask your teacher for the answer key.

13. Do a complete review of what you have learned in this chapter and ask a teacher for the Chapter 5 test. NOTE: Part 1 of the test is without a graphing calculator. Graphing calculators are allowed in Part 2.

14. Good Luck!

Chapter 6

The Calculus of Exponential and Logarithmic Functions

1. Read Section 6-1. Do the Problem Set. NOTE: Complete only the ODD questions.

2. Read Section 6-2 omitting Example 8 on page 276. Do the Problem Set, including the Quick Review. NOTE: Complete only the ODD questions. OMIT #35, 57, 59 and 61.

3. Read Sections 6-3. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT #7, 11 and 29.

4. Read Sections 6-4. Do the Problem Set, including the Quick Review.

NOTE: Complete only the ODD questions. OMIT Quick Review #4, 9

and 10. OMIT: #0, 5 and 63.

5. OMIT Section 6-5.

6. Read Sections 6-6. Remember you only need to know the Integrals of the Sine and Cosine functions. Do the Problem Set. Complete only the ODD questions. OMIT #39.