Video Tutorials for Algebra and Trigonometry, Fourth Edition, by Michael Sullivan

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Algebra and Trigonometry, Fourth Edition, by Michael Sullivan

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Chapter R: Review

R.1 Real Numbers - Intro/2/21
Now Work Problems: 15/27/39/45,53/55,59,69/71

R.2 Algebra Review - Intro/2/4/5
Now Work Problems: 57/75,95/77/87/83/113/119/127/151

R.3 Geometry Review - Intro/1/2
Now Work Problems: 39/43

R.4 Polynomials - Intro/5/9/13
Now Work Problems: 7/41/65,67,69

R.5 Factoring Polynomials - Intro/5/8/11/17
Now Work Problems: 25,93/39,77/51,121/57

R.6 Synthetic Division - Intro/1/2
Now Work Problems: None

R.7 Rational Expressions - Intro/3/6/9/10
Now Work Problems: 5/37,43/53/73

R.8 nth Roots; Rational Exponents - Intro/7/8/9
Now Work Problems: 5/9,15/31/45/53/87

Chapter 1: Graphs, Equations, and Inequalities

1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations - Intro/2/5/8/12
Now Work Problems: 49/65

1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations - Intro/1/2/5
Now Work Problems: 35/61/95

1.3 Quadratic Equations - Intro/1/3/4/5/7
Now Work Problems: 39/49.59

1.4 Complex Numbers; Quadratic Equations in the Complex Number System - Intro/1/2/5/10/11
Now Work Problems: 41

1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable - Intro/1/2/3/4/6
Now Work Problems: 13/59/107

1.6 Problem Solving; Interest, Mixture, Uniform Motion, Constant Rate Jobs - Intro/3/4/5/7
Now Work Problems: 7/27

1.7 Solving Inequalities - Intro/1/7/8/10/12
Now Work Problems: None

1.8 Lines - Intro/1/2/4/6/7/10/12
Now Work Problems: 33/53

1.9 Circles - Intro/1/2/4
Now Work Problems: 21a,b/21c

Chapter 2: Functions and Their Graphs

2.1 Symmetry; Graphing Key Equations - Intro/4
Now Work Problems: 33

2.2 Functions - Intro/5/6/8
Now Work Problems: 19/85

2.3 The Graph of a Function - Intro/1/2/4
Now Work Problems: 25

2.4 Properties of Functions - Intro/2/3/4/5/7
Now Work Problems: 21d/45

2.5 Linear Functions and Models - Intro/1/2/5/8
Now Work Problems: None

2.6 Library of Functions; Piecewise-Defined Functions - Intro/3
Now work Problems: 29

2.7 Graphing Techniques: Transformations - Intro/2/3/6
Now Work Problems: 35/39/43/47/27/57

2.8 Mathematical Models: Constructing Functions - Intro/3/5
Now Work Problems: 3/9

Chapter 3: Polynomial and Rational Functions

3.1 Quadratic Functions and Models - Intro/1/2/3
Now Work Problems: 43/47/71/77/81/83

3.2 Polynomial Functions and Models - Intro/3/4
Now Work Problems: 69/81/11,15/45a/45b,c

3.3 Properties of Rational Functions - Intro/1/4/5/6/7
Now Work Problems: 31

3.4 The Graph of a Rational Function; Inverse and Joint Variation - Intro/1/3/5
Now Work Problems: 15/33

3.5 Polynomial and Rational Inequalities - Intro/1/3
Now Work Problems: 21

3.6 The REal Zeros of a Polynomial Function - Intro/3/4/7
Now Work Problems: 11/63

3.7 Complex Zeros; Fundamental Theorem of Algebra - Intro/1/2/3
Now Work Problems: None

Chapter 4: Exponential and Logarithmic Functions

4.1 Composite Functions - Intro/1/3/4
Now Work Problems: 45

4.2 One-to-One Functions; Inverse Functions - Intro/2/6/8/9
Now Work Problems: None

4.3 Exponential Functions - Intro/2/3/4/6
Now Work Problems: None

4.4 Logarithmic Functions - Intro/1/4/5/6/8
Now Work Problems: 9/21/85/91/103

4.5 Properties of Logarithms - Intro/2/5/6/8
Now Work Problems: 13

4.6 Logarithmic and Exponential Functions - Intro/1/2/3/4/6
Now Work Problems: 29

4.7 Compound Interest - Intro/2/4
Now Work Problems: 3/11/13/23/25/31

4.8 Exponential Growth and Decay; Newton's Law, Logistic Growth and Decay - Intro/1/3
Now Work Problems: None

4.9 Building Exponential, Logarithmic, and Logistic Models from Data - Intro/None
Now Work Problems: 1/7/9

Chapter 5: Systems of Equations and Inequalities

5.1 Systems of Linear Equations: Substitution and Elimination - Intro/5/9
Now Work Problems: 9/19/25,29

5.2 Systems of Linear Equations: Matrices - Intro/1/5
Now Work Problems: 17/37,47/53/27/69

5.3 Systems of Linear Equations: Determinants - Intro/1/2/4
Now Work Problems: 33

5.4 Matrix Algebra - Intro/5/8/13/15
Now Work Problems: 7/13,15/59

5.5 Partial Fraction Decomposition - Intro/1/2
Now Work Problems: 19/21/35

5.6 Systems of Linear Inequalities - Intro/2/6/7
Now Work Problems: 13/17/35/43/55

5.7 Linear Programming - None
now Work Problems: None

Chapter 6: Trigonometric Functions

6.1 Angles and Their Measure - Intro/2/4/5
Now Work Problems: 23,29/35,61/47/71/79/97/101

6.2 Right Triangle and Trigonometry - Intro/1/4
Now Work Problems: 21/25/39/43,57

6.3 Computing the Values of Trigonometric Functions of Acute Angles - Intro/1/3
Now Work Problems 5,17/9,19/29

6.4 Trigonometric Functions of General Angles - Intro/1/2/3/7
Now Work Problems: 33/41/59/99

6.5 Unit Circle Approach: Properties of the Trigonometric Functions - Intro/1/2/3
Now work Problems: None

6.6 Graphs of the Sine and Cosine Functions - Intro/2/7/10
Now Work Problems: 33/41/47/61

6.7 Graphs of Tangent, Cotangent, Cosecant, and Secant Functions - Intro/1
Now Work Problems: 25,31/37

6.8 Phase Shift; Sinusoidal Curve Fitting - Intro/1
Now Work Problems: 3/21a,c/21d,e

Chapter 7: Analytic Trigonometry

7.1 The Inverse Sine, Cosine and Tangent Functions - Intro/1/2/4/7
Now Work Problems: 23/25

7.2 The Inverse Trigonometric Functions [continued] - Intro/1/2/5/6
Now Work Problems: 9,27/45

7.3 Trigonometric Identities - Intro/2/6/8
Now Work Problems: 9,11,13/27/99

7.4 Sum and Difference Formulas - Intro/1/3/5/9
Now Work Problems: 11/23,27/39,51

7.5 Double-angle and Half-angle Formulas - Intro/1/5/6
Now Work Problems: 29/53

7.6 Product-to-Sum and Sum-to-Product Formulas - Intro/1
Now Work Problems: 11

7.7 Trigonometric Equations (1) - Intro/2/4
Now Work Problems: 7/13/41

7.8 Trigonometric Equations (II) - Intro/2/3/5
Now Work Problems: 7/23/41/53

Chapter 8: Applications of Trigonometric Functions

8.1 Applications Involving Right Triangles - Intro/1/4/6
Now Work Problems: 19

8.2 The Law of Sines - Intro/1/2/3/4/5/6/7
Now work Problems: None

8.3 The Law of Cosines - Intro/1/2/3
Now Work Problems: None

8.4 Area of a Triangle - Intro/1/2
Now Work Problems: None

8.5 Simple Harmonic Motion; Damped Motion; Combining Waves - Intro/1/3/4/5
Now Work Problems: None

Chapter 9: Polar Coordinates; Vectors

9.1 Polar Coordinates - Intro/2a-c/2d/3/4/6
Now Work Problems: 11,27/55/75

9.2 Polar Equations and Graphs - Intro/1/2/3/5/6/8
Now Work Problems: 21/49/55/59

9.3 The Complex Plane; De Moivre's Theorem - Intro/1/2/3/4/6
Now Work Problems: 41

9.4 Vectors - Intro/2/3/4/5
Now Work Problems: 7,9

9.5 The Dot Product - Intro/1/2/5/6
Now Work Problems: 7c/19/25

Chapter 10: Analytic Geometry

10.1 Conics - None
Now Work Problems: none

10.2 The Parabola - Intro/1/4/7
Now Work Problems: 27/47/63

10.3 The Ellipse - Intro/1/6/8
Now Work Problems: 17/21/29/47

10.4 The Hyperbola - Intro/1/4/6/7
Now Work Problems: 29/53

10.5 Rotation of Axes; General Form of a Conic - Intro/3
Now Work Problems: 11/37/43

10.6 Polar Equations of Conics - Intro/2
Now Work Problems: 11/17/25

10.7 Plane Curves and Parametric Equations - Intro/1/7
Now Work Problems: 7,19

10.8 Systems of Nonlinear Equations and Inequalities - Intro/1/2
Now Work Problems: None

Chapter 11: Sequences; Induction; The Binomial Theorem

11.1 Sequences - Intro/1/2/4/7/8/9/10
Now Work Problems: 19,21/37,45

11.2 Arithmetic Sequences - Intro/1/2/4/5/6/7
Now Work Problems: 5/43

11.3 Geometric Sequences; Geometric Series - Intro/1/2/4/5/6/7
Now Work Problems: 7/49/69

11.4 Mathematical Induction - Intro/1/2
Now Work Problems: 1

11.5 The Binomial Theorem - Intro/1/2/3/4/5
Now Work Problems: None

Chapter 12: Counting and Probability

12.1 Sets and Counting - Intro/1/2/3/4/5
Now Work Problems: None

12.2 Permutations and Combinations - Intro/1/2/3/4/5/6/7/8/9/10/11/12/13
Now Work Problems: None

12.3 Probability - Intro/1/2/3/4/5/6/7/8/9/10
Now Work Problems: None