Advanced Functions and Introductory Calculus Harcourt

📚 Harcourt
🎓 Grade 12
🇨🇦 Canadian Edition
Chapters
9
Sections
54
Total Videos
322
ISBN-13
9780774714549

Chapter 1: Chapter 1 Polynomial Functions

5 sections

1

Review of Prerequisite Skills

🎥 0 videos
2

1.1 Graphs of Polynomial Functions

📄 Page 6🎥 0 videos
3

1.2 Polynomial Functions from Data

📄 Page 10🎥 0 videos
4

1.3 Division of Polynomials

📄 Page 15🎥 0 videos
5

1.4 The Remainder Theorem

📄 Page 20🎥 8 videos

Chapter 2: Chapter 2 Polynomial Equations and Inequalities

6 sections

1

2.1 Factor Theorem

📄 Page 35🎥 1 video
2

2.2 The Factor Theorem Extended

📄 Page 42🎥 4 videos
3

2.3 Solving Polynomial Equations

📄 Page 45🎥 0 videos
4

2.4 Properties of the Roots of Quadratic Equations

📄 Page 52🎥 6 videos
5

2.5 Solving Polynomial Inequalities

📄 Page 57🎥 6 videos
6

2.6 Absolute Value Functions

📄 Page 60🎥 0 videos

Chapter 3: Chapter 3 Introduction to Calculus

7 sections

1

3.1 The Slope of a Tangent

📄 Page 76🎥 3 videos
2

3.2 Rates of Change

📄 Page 87🎥 0 videos
3

3.3 The Limit of a Function

📄 Page 95🎥 3 videos
4

3.4 Properties of Limits

📄 Page 100🎥 15 videos
5

3.5 Continuity

📄 Page 108🎥 2 videos
6

Chapter Review

🎥 5 videos
7

Chapter Test

🎥 1 video

Chapter 4: Chapter 4 Derivatives

10 sections

1

4.0 Review of Prerequisite Skills

📄 Page 122🎥 1 video
2

4.1 The Derivative Function

📄 Page 125🎥 5 videos
3

4.2 The Derivatives of Polynomial Functions

📄 Page 133🎥 3 videos
4

4.3 Product Rule

📄 Page 141🎥 3 videos
5

4.4 The Quotient Rule

📄 Page 147🎥 1 video
6

4.5 Composite Functions

📄 Page 151🎥 1 video
7

4.6 Chain Rule

📄 Page 154🎥 4 videos
8

Chapter Review

📄 Page 163🎥 4 videos
9

Chapter 4 Test

📄 Page 166🎥 0 videos
10

Cumulative Review Chapter 1-4

🎥 3 videos

Chapter 5: Chapter 5 Applications of Derivatives

6 sections

1

5.1 Implicit Differentiation

📄 Page 175🎥 0 videos
2

5.2 Higher-Oder Derivatives, Velocity, and Acceleration

📄 Page 180🎥 0 videos
3

5.3 Related Rates

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4

5.4 Maximum and Minimum on an Interval

📄 Page 196🎥 0 videos
5

5.5 Optimization Problems

📄 Page 203🎥 0 videos
6

5.6 Optimizing in Economics and Science

📄 Page 209🎥 0 videos

Chapter 6: Chapter 6 The Exponential Function

5 sections

1

6.1 Laws of Exponents

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2

6.2 Investigating f(x) = b^x

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3

6.3 Transformations of Exponential Functions

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4

6.4 Exponential Growth and Decay

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5

6.5 Modelling Data Using the Exponential Function

📄 Page 244🎥 0 videos

Chapter 7: Chapter 7 The Logarithmic Function and Logarithms

5 sections

1

7.1 The Logarithmic Function

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2

7.2 Properties of Logs

📄 Page 266🎥 1 video
3

7.3 Solving Logarithmic Equations

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4

7.4 Applications of Logs

📄 Page 276🎥 0 videos
5

7.5 Change of Base

📄 Page 283🎥 0 videos

Chapter 8: Chapter 8 Derivatives of Exponential and Logarithmic Functions

5 sections

1

8.1 Derivatives of Exponential Functions

📄 Page 299🎥 4 videos
2

8.2 The Derivatives of the Natural Logarithmic Function

📄 Page 305🎥 0 videos
3

8.3 Derivatives of General Exponential and Logarithmic Functions

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4

8.4 Optimization Problems

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5

8.5 Logarithmic Differentiation

📄 Page 324🎥 0 videos

Chapter 9: Chapter 9 Curve Sketching

5 sections

1

9.1 Increasing and Decreasing Functions

📄 Page 339🎥 0 videos
2

9.2 Critical Points, Relative Maxima, and Relative Minima

📄 Page 345🎥 0 videos
3

9.3 Vertical and Horizontal Asymptotes

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4

9.4 Concavity and Points of Inflection

📄 Page 363🎥 0 videos
5

9.5 An Algorithm for Graph Sketching

📄 Page 372🎥 14 videos