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Review of Highs School Mathematics

 

Topic

Duration

Number Line

14:08

Absolute Value and Equations

11:34

Absolute Value and Inequalities

11:40

Linear Functions I

10:37

Linear Functions II

7:11

Linear Functions III

9:34

Quadratic Functions I

10:29

Quadratic Functions II

17:45

Quadratic Functions III

5:05

Equations and Inequalities

4:36

Factoring of Polynomials I

17:55

Factoring of Polynomials II

10:51

Factoring Polynomials III

8:40

Polynomial Equations

10:34

Polynomial Inequalities

9:52

Inequalities with Rational Functions I

17:48

Inequalities with Rational Functions II

17:47

Roots and Exponents III

5:58

Roots and Exponents

4:46

Equations Containing Roots

6:05

Inequalities Containing Roots

9:55

Trigonometry Review I 55:25
Trigonometry Review II 60:57

Trigonometric Functions I

8:35

Trigonometric Functions II

6:24

Trigonometric Equations I

6:54

Trigonometric Equations II

7:34

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Functions, Limits, and Continuity

(Chapter 1)

 Videos 

Topic

Duration

Domains of Functions

24:24

Intersection of Curves

10:37

Even and Odd Functions

30:28

Piece-wise Defined Functions

16:29

Ranges of Functions

11:19

Composition of Functions

16:41

Transformation of Graphs

17:58

Definition of the Limit

30:19

Methods to Calculate Limits
(Part 1)

12:03

Methods to Calculate Limits
(Part 2)

20:07

Methods to Calculate Limits - Squeeze Theorem

25:19

Presentations

The following presentations are derived from PowerPoint slides with audio.

Topic

Duration

Limits

32:20

Continuity

26:27

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Derivatives

(Chapter 2)

 Videos 

Topic

Duration

Computation of Derivatives Using the Definition 18:37
Chain Rule 34:27
Derivatives of Trigonometric Functions 8:53
Higher Derivatives 37:11
Rules for Differentiation (Part 1) 21:24
Rules for Differentiation (Part 2) 25:03
Implicit Differentiation (Part 1) 24:41
Implicit Differentiation (Part 2) 13:49

Presentations

The following presentations are derived from PowerPoint slides with audio.

Topic

Duration

Tangent Lines 6:47
Linear Approximations and Differentials 24:49

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Applications of Differentiation

(Chapter 3)

 Videos 

Topic

Duration

Limits at Infinity 26:31
Curve Sketching (Part 1) 22:19
Curve Sketching (Part 2) 46:22

Presentations

The following presentations are derived from PowerPoint slides with audio.

Topic

Duration

Maximum and Minimum Values 22:52
Rolle's Theorem and Mean Value Theorem 20:22
Curve Sketching 13:30

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Inverse Functions

(Chapter 6)

 Videos 

Topic

Duration

One-to-One Functions 37:42
Inverse Functions (Part 1) 36:14
Inverse Functions (Part 2) 39:55
Derivatives of Inverse Functions 19:48
Exponential Functions 44"20
Derivatives of Exponential Functions 26:09
Natural Exponential Functions 20:06
Logarithmic Functions (Part 1) 43:47
Logarithmic Functions (Part 2) 25:47
Derivatives of Logarithmic Functions 27:10
Inverse Trigonometric Functions (Part 1) 22:11
Inverse Trigonometric Functions (Part 2) 26:26
Inverse Trigonometric Functions (Part 3) 35:39

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