Calculus and Vectors MCV4U-H

📚 McGraw Hill
🎓 Grade 12
🇨🇦 Canadian Edition
Chapters
8
Sections
61
Total Videos
2,452
ISBN-13
9780070126596

Chapter 1: Chapter 1 Rates of Change

7 sections

1

1.1 Rates of Change and the Slope of a Curve

📄 Page 4🎥 29 videos
2

1.2 Rates of Change Using Equations

📄 Page 13🎥 21 videos
3

1.3 Limits

📄 Page 24🎥 31 videos
4

1.4 Limits and Continuity

📄 Page 33🎥 56 videos
5

1.5 Introduction to Derivatives

📄 Page 48🎥 45 videos
6

Chapter Limits Review

🎥 20 videos
7

Rates of Change, Limits and Continuity Chapter Test

🎥 15 videos

Chapter 2: Chapter 2 Derivatives

9 sections

1

Prerequisite Skills

🎥 21 videos
2

2.1 Derivative of Polynomial Function

📄 Page 72🎥 64 videos
3

2.2 The Product Rule

📄 Page 88🎥 82 videos
4

2.3 Velocity, Acceleration, and Second Derivatives

📄 Page 97🎥 46 videos
5

2.4 The Chain Rule

📄 Page 111🎥 58 videos
6

2.5 Derivatives of Quotients

📄 Page 120🎥 47 videos
7

2.6 Rate of Change Problems

📄 Page 130🎥 46 videos
8

Derivatives Chapter Review

🎥 28 videosPremium
9

Derivate Chapter Test

🎥 18 videos

Chapter 3: Chapter 3 Curve Sketching

8 sections

1

3.1 Increasing and Decreasing Functions

📄 Page 150🎥 57 videos
2

3.2 Maxima and Minima

📄 Page 159🎥 35 videos
3

3.3 Concavity and the Second Derivative Test

📄 Page 166🎥 37 videosPremium
4

3.4 Simple Rational Functions

📄 Page 176🎥 24 videos
5

3.5 Putting It All Together

📄 Page 185🎥 37 videos
6

3.6 Optimization Problems

📄 Page 195🎥 26 videos
7

Chapter Review Graphing and Optimization

🎥 26 videosPremium
8

Chapter Test Max and Min

🎥 18 videosPremium

Chapter 4: Chapter 4 Derivatives of Sinusodial Functions

6 sections

1

4.1 Instantaneous Rates of Change of Sinusodal Functions

📄 Page 214🎥 18 videos
2

4.2 Derivatives of the Sine and Cosine Functions

📄 Page 218🎥 26 videos
3

4.3 Differentiation Rules for Sinusodal Functions

📄 Page 228🎥 34 videos
4

4.4 Applications of Sinusoidal Functions and Their Derivatives

📄 Page 233🎥 15 videos
5

4.5 Chapter Review

🎥 24 videos
6

4.6 Chapter Test

🎥 22 videos

Chapter 5: Chapter 5 Exponential and Logarithmic Functions

7 sections

1

5.1 Rates of Change and the Number e

📄 Page 252🎥 21 videos
2

5.2 The Natural Logarithm

📄 Page 259🎥 20 videos
3

5.3 Derivatives of Exponential Functions

📄 Page 267🎥 21 videosPremium
4

5.4 Differentiation Rules for Exponential Functions

📄 Page 277🎥 36 videos
5

5.5 Making Connections Exponential Models

📄 Page 285🎥 8 videos
6

5.6 Chapter Review

🎥 29 videos
7

5.7 Chapter Test

🎥 1 video

Chapter 6: Chapter 6 Geometric Vectors

7 sections

1

6.1 Introduction to Vectors

📄 Page 304🎥 35 videos
2

6.2 Tutorials of Addition and Subtraction of Vectors

📄 Page 313🎥 34 videos
3

6.3 Tutorials of Multiplying a Vector by a Scalar

📄 Page 328🎥 32 videos
4

6.4 Applications of Vector Addition

📄 Page 337🎥 28 videos
5

6.5 Resolution of Vectors Into Rectangular Components

📄 Page 347🎥 21 videos
6

6.6 Chapter Review

🎥 22 videosPremium
7

Practice Test Sum of Vectors

🎥 23 videosPremium

Chapter 7: Chapter 7 Cartesian Vectors

8 sections

1

7.1 Cartesian Vectors

📄 Page 360🎥 29 videos
2

7.2 Dot Product

📄 Page 370🎥 28 videos
3

7.3 Applications of the Dot Product

📄 Page 378🎥 48 videos
4

7.4 Vectors in Three-Space

📄 Page 387🎥 53 videos
5

7.5 Cross Product and Its Properties

📄 Page 403🎥 36 videosPremium
6

7.6 Applications of the Dot Product and Cross Product

📄 Page 413🎥 34 videosPremium
7

7.7 Chapter Review

🎥 31 videosPremium
8

7.8 Chapter Test

🎥 33 videosPremium

Chapter 8: Chapter 8 Lines and Planes

9 sections

1

8.1 Equations of Lines in Two-Space

📄 Page 428🎥 71 videos
2

8.2 Equation of Planes

📄 Page 441🎥 37 videos
3

8.3 Properties of Planes

📄 Page 454🎥 47 videosPremium
4

8.4 Intersections of Lines in Two-Space and Three-Space

📄 Page 462🎥 21 videos
5

8.5 Intersection of Lines and Planes

📄 Page 474🎥 18 videosPremium
6

8.6 Intersections of Planes

📄 Page 494🎥 22 videosPremium
7

8.7 Chapter Review

🎥 41 videosPremium
8

8.8 Chapter Test

🎥 24 videosPremium
9

8.10 Course Review

🎥 0 videosPremium