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Lecture Videos

Pre Calculus - Sullivan

 

 Foundations: A Prelude to Functions

1. Functions and Their Graphs

2. Linear and Quadratic Functions

3. Polynomial and Rational Functions

4. Exponential and Logarithmic Functions

5. Trigonometric Functions

6. Analytic Trigonometry

7. Applications of Trigonometric Functions

8. Polar Coordinates; Vectors

10. Systems of Equations and Inequalities

11. Sequences; Induction; the Binomial Theorem

Appendix A. Review

 
Foundations: A Prelude to Functions Practice Exercises
F.1 The Distance and Midpoint Formula

F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
F.4 Circles
 

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1. Functions and Their Graphs Practice Exercises

1.1 Functions

1.2 The Graph of a Function
1.3 Properties of Functions
1.4 Library of Functions; Piecewise-defined Functions
1.5 Graphing Techniques: Transformations
 

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2. Linear and Quadratic Functions Practice Exercises
2.1 Properties of Linear Functions and Linear Models

2.4 Properties of Quadratic Functions
2.5 Inequalities Involving Quadratic Functions
2.8 Equations and Inequalities Involving the Absolute Value Function

 

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3. Polynomial and Rational Functions

Practice Exercises

3.1 Polynomial Functions and Models

3.2 Properties of Rational Functions
3.4 Polynomial and Rational Inequalities
3.5 The Real Zeros of a Polynomial Function

 

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4. Exponential and Logarithmic Functions

Practice Exercises

4.1 Composite Functions

4.2 One-to-One Functions; Inverse Functions
4.3 Exponential Functions
4.4 Logarithmic Functions
4.5 Properties of Logarithms
4.6 Logarithmic and Exponential Equations

 

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5. Trigonometric Functions  
5.1 Angles and Their Measure

5.2 Right Triangle Trigonometry
5.3 Computing the Values of Trigonometric Functions of Acute Angles
5.5 Unit Circle Approach; Properties of the Trigonometric Functions
5.6 Graphs of the Sine and Cosine Functions
5.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
5.8 Phase Shift; Sinusoidal Curve Fitting
 

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6. Analytic Trigonometry

Practice Exercises

6.1 The Inverse Sine, Cosine, and Tangent Functions

6.2 The Inverse Trigonometric Functions (Continued)
6.3 Trigonometric Equations
6.4 Trigonometric Identities
6.5 Sum and Difference Formulas
6.6 Double-angle and Half-angle Formulas
6.7 Product-to-Sum and Sum-to-Product Formulas
 

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7. Applications of Trigonometric Functions

Practice Exercises

7.2 The Law of Sines

7.3 The Law of Cosines
7.4 Area of a Triangle
 

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8. Polar Coordinates; Vectors

Practice Exercises

8.4 Vectors

8.5 The Dot Product
 

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10. Systems of Equations and Inequalities

Practice Exercises

10.1 Systems of Linear Equations: Substitution and Elimination

10.2 Systems of Linear Equations: Matrices
10.3 Systems of Linear Equations: Determinants
10.4 Matrix Algebra
10.7 Systems of Inequalities

 

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11. Sequences; Induction; the Binomial Theorem Practice Exercises
11.1 Sequences

11.2 Arithmetic Sequences
11.3 Geometric Sequences; Geometric Series

 

 

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Appendix A. Review Practice Exercises
Problem Solving

 

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Appendix B. Graphing Utilities Practice Exercises
B.2 Using a Graphing Utility to Graph Equations

B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry

B.7_Using a Graphing Utility to Solve Systems of Linear Equations

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Math and Physics
Del Mar College
101 Baldwin Blvd. Corpus Christi, TX 78404-3897
(361)698-1238

 

If you have question about this page contact Ahmad Shafiee at (361) 698-1361 or ashafiee@delmare.du