Calculus and Vectors MCV4U

🎓 Grade 12
🇨🇦 Canadian Edition
Chapters
10
Sections
85
Total Videos
2,902
ISBN-13
N/A

Chapter 1: Chapter 1 Introduction to Calculus

9 sections

1

1.1 Rationalizing Denominators

📄 Page 6🎥 25 videos
2

1.2 The Slope of a Tangent

📄 Page 10🎥 49 videos
3

1.3 Rates of Change

📄 Page 22🎥 27 videosPremium
4

Mid Chapter Review for Rates of Change

🎥 33 videos
5

1.4 Limit of a Function

📄 Page 34🎥 34 videosPremium
6

1.5 Limits Properties and Laws

📄 Page 40🎥 43 videosPremium
7

1.6 Continuity

📄 Page 48🎥 31 videosPremium
8

Chapter Review Limits and Continuity

🎥 55 videosPremium
9

Chapter Test

🎥 14 videosPremium

Chapter 2: Chapter 2 Derivatives

8 sections

1

2.1 The Derivative Function

📄 Page 65🎥 41 videos
2

2.2 The Derivatives of Polynomial Functions

📄 Page 76🎥 64 videos
3

2.3 The Product rule

📄 Page 85🎥 31 videos
4

Mid Chapter Review upto Product Rule

📄 Page 92🎥 36 videos
5

2.4 The Quotient Rule

📄 Page 94🎥 36 videosPremium
6

2.5 Chain Rule

📄 Page 99🎥 46 videosPremium
7

Chapter Review Derivative Rules

🎥 69 videosPremium
8

Chapter Test - Derivatives(Nel)

🎥 15 videosPremium

Chapter 3: Chapter 3 Derivatives and their Applications

7 sections

1

3.1 High Order Derivatives, Velocities, and Acceleration

📄 Page 119🎥 41 videosPremium
2

3.2 Max and Min on a Interval

📄 Page 130🎥 27 videosPremium
3

Mid Chapter Review Derivative Application

🎥 23 videosPremium
4

3.3 Optimization Problems

📄 Page 141🎥 25 videosPremium
5

3.4 Optimization in Economics and Science

📄 Page 148🎥 25 videosPremium
6

Chapter Review Optimization

🎥 49 videosPremium
7

Chapter Test on Optimization

🎥 13 videosPremium

Chapter 4: Chapter 4 Curve Sketching

8 sections

1

4.1 Increasing and Decreasing Functions

📄 Page 165🎥 28 videos
2

4.2 Critical Points, Local Maxima, Local Minima

📄 Page 172🎥 35 videos
3

4.3 Vertical and Horizontal Asymptotes

📄 Page 181🎥 47 videos
4

Graphing Mid Chapter Review

🎥 40 videosPremium
5

4.4 Concavity and Points of Inflection

📄 Page 198🎥 25 videosPremium
6

4.5 An Algorithm for Curve Sketching

📄 Page 207🎥 23 videosPremium
7

Chapter Review Curve Sketching

🎥 39 videosPremium
8

Chapter Test Graphing

🎥 7 videosPremium

Chapter 5: Chapter 5 Derivatives of Exponential and Trigonometric Functions

9 sections

1

5.1 Derivatives of Exponential Functions, y=e^x

📄 Page 227🎥 40 videos
2

5.2 Derivative of y =b^x

📄 Page 235🎥 18 videosPremium
3

5.3 Optimization Problems Involving Exponential Functions

📄 Page 241🎥 24 videosPremium
4

Mid Chapter Review Derivatives of Exponential Functions

🎥 27 videosPremium
5

5.4 The Derivatives of sinx and cosx

📄 Page 250🎥 42 videosPremium
6

5.5 Derivative of tan(x)

📄 Page 258🎥 22 videosPremium
7

5.6 Chapter Review Log and Trig Functions

🎥 56 videosPremium
8

Chapter Test on Logs and Trig Derivatives

🎥 15 videosPremium
9

Cumulative Calculus Review

🎥 76 videosPremium

Chapter 6: Chapter 6 Introduction to Vectors

12 sections

1

6.0 Chapter Pre Req. Review of Trig

🎥 10 videos
2

6.1 An Introduction to Vectors

📄 Page 275🎥 22 videos
3

6.2 Vector Addition

📄 Page 282🎥 37 videos
4

6.3 Multiplication of a Vector by a Scalar

📄 Page 293🎥 41 videos
5

6.4 Properties of Vectors

📄 Page 302🎥 17 videosPremium
6

Mid Chapter Review

🎥 29 videosPremium
7

6.5 Vectors in 2D and 3D

📄 Page 310🎥 40 videosPremium
8

6.6 Operations with Algebraic Vectors in 2D

📄 Page 319🎥 33 videosPremium
9

6.7 Operation with Vectors in 3D

📄 Page 327🎥 34 videosPremium
10

6.8 Linear Combination and Spanning Sets

📄 Page 334🎥 19 videosPremium
11

Vectors Chapter Review

🎥 38 videosPremium
12

Chapter 6 Test

🎥 1 videoPremium

Chapter 7: Chapter 7 Applications of Vectors

9 sections

1

7.1 Vectors as Forces

📄 Page 352🎥 20 videos
2

7.2 Vectors as Velocity

📄 Page 365🎥 22 videos
3

7.3 The Dot Product of Two Geometric Vectors

📄 Page 371🎥 25 videosPremium
4

7.4 The Dot Product of Algebraic Vectors

📄 Page 379🎥 37 videosPremium
5

Mid Chapter Review

🎥 27 videosPremium
6

7.5 Scalar and Vector Projections

📄 Page 390🎥 27 videosPremium
7

7.6 The Cross Product of Two Vectors

📄 Page 401🎥 31 videosPremium
8

7.7 Applications of Dot and Cross Product

📄 Page 409🎥 19 videosPremium
9

Applications of Vectors Chapter Review

🎥 70 videosPremium

Chapter 8: Chapter 8 Equations of Lines and Planes

9 sections

1

8.1 Vector and Parametric Equations of a Line in 2D

📄 Page 427🎥 16 videos
2

8.2 Cartesian equation of a Line

📄 Page 435🎥 26 videos
3

8.3 Vector, Parametric and Symmetric Equations of a line in 3D

📄 Page 445🎥 22 videos
4

8.7 Mid Chapter Review

🎥 27 videos
5

8.4 Vector and Parametric Equations as Plane

📄 Page 453🎥 18 videosPremium
6

8.5 The Cartesian Equation of a Plane

📄 Page 461🎥 20 videosPremium
7

8.6 Sketching Planes in 3D

📄 Page 470🎥 15 videosPremium
8

Chapter Review

🎥 39 videosPremium
9

Chapter Test

🎥 5 videosPremium

Chapter 9: Chapter 9 Relations between Points, Lines and Planes

9 sections

1

9.1 The intersection of a Line with a Plane and the Intersection of Two Lines

📄 Page 489🎥 19 videos
2

9.2 System of Equations

📄 Page 499🎥 22 videos
3

9.3 The Intersection of Two Planes

📄 Page 510🎥 21 videos
4

9.4 The Intersection of Three Planes

📄 Page 520🎥 39 videos
5

9.5 The Distance from a Point to a Line in R2

📄 Page 534🎥 27 videosPremium
6

9.6 The Distance from a Point to a Plane

📄 Page 542🎥 16 videosPremium
7

Relations between Points, Lines and Planes Chapter Review

🎥 32 videosPremium
8

Relations between Points, Lines and Planes Test

🎥 7 videosPremium
9

Vectors Cumulative Review

🎥 67 videosPremium

Chapter 10: Chapter 10 Appendix

5 sections

1

10.1 Implicit Differentiation

📄 Page 561🎥 23 videosPremium
2

10.2 Related Rates

📄 Page 565🎥 18 videosPremium
3

10.3 Derivative of Natural Logs

📄 Page 571🎥 27 videosPremium
4

10.4 Derivative of Log Functions

📄 Page 576🎥 28 videosPremium
5

10.5 Derivative of Log or Exponent that Requires Implicit

📄 Page 579🎥 22 videosPremium