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

Posted by 고강사
2009.06.01 21:54 수학교과과정/Precalculus
  • 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


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