College Algebra

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Notes Chapter 1 Click HERE to download (and print) the Chapter 1 notes which correspond to the video lecture links below.
Section
Page(s)
Length
Topic
CC link
Rev-1 2 4:55 Interval Notation CC
Rev-2 2 1:20 Set-Builder Notation CC
Rev-3 2 4:50 Domain & Range CC
1.1a 3 4:12 Solving Linear Equations - part 1 CC
1.1b 3 4:11 Solving Linear Equations - part 2 CC
1.1c 4 6:54 Solving Rational Equations CC
1.1d 4 3:14 Literal Equations CC
1.2a 5 4:06 Applications of Linear Equations - part 1 CC
1.2b 5 5:26 Applications of Linear Equations - part 2 CC
1.2c 6 4:10 Applications of Linear Equations - part 3 CC
1.2d 6 3:20 Applications of Linear Equations - part 4 CC
1.3a 7 4:01 Imaginary and Complex Numbers CC
1.3b 7 2:15 Powers of i CC
1.3c 7 5:01 Operations Involving Complex Numbers CC
1.4a 8 5:31 Quadratic Equations - part 1 CC
1.4b 8-9 4:56 Quadratic Equations - part 2 CC
1.4c 9 5:23 Quadratic Equations - part 3 CC
1.4d 9-10 3:44 The Discriminant CC
1.4e 10 2:29 Writing a Quadratic Equation Given Its Solutions CC
1.PRE 10 4:49 Expressions and Equations CC
1.5a 11 6:25 Applications of Quadratic Equations - part 1 CC
1.5b 11-12 8:24 Applications of Quadratic Equations - part 2 CC
1.6a 12 3:58 Solving Polynomial and Rational Equations CC
1.6b 13 5:52 Solving Radical Equations CC
1.6c 13 4:11 Equations in Quadratic form CC
1.7a 14 4:04 Linear Inequalities CC
1.7b 14 2:39 Compound Inequalities CC
1.7c 15 6:41 Unions and Intersections CC
1.7d 15-16 5:39 Compound Inequalities - part 2 CC
1.7e 16 2:16 Domains, Compound Inequalities CC
1.8a 17 3:49 Absolute Value Equations and Inequalities - part 1 CC
1.8b 17 4:20 Absolute Value Equations and Inequalities - part 2 CC
1.8c 18 5:38 Absolute Value Equations and Inequalities - part 3 CC
1.8d 18 2:31 Absolute Value Equations and Inequalities - part 4 CC
Notes Chapter 2 Click HERE to download (and print) the Chapter 2 notes which correspond to the video lecture links below.
Section
Page(s)
Length
Topic
CC link
2.1a 2 4:56 Distance and Midpoint - part 1 CC
2.1b 2 5:07 Distance and Midpoint - part 2 CC
2.1c 2-3 5:10 Domains, Relations, and Intercepts CC
2.1d 3 4:30 Applying the Distance and Midpoint Formulas CC
2.2a 4 5:01 Circles - part 1 CC
2.2b 4-5 5:01 Circles - part 2 CC
2.3a 5-6 5:30 Functions and Relations - part 1 CC
2.3b 6 4:02 Functions and Relations - part 2 CC
2.3c 7 3:27 Functions and Relations - part 3 CC
2.4a 7-8 4:41 Linear Equations and Functions - part 1 CC
2.4b 8 4:49 Linear Equations and Functions - part 2 CC
2.4c 9 3:56 The Average Rate of Change CC
2.5a 9-10 4:24 The Point-Slope Formula - part 1 CC
2.5b 10 5:03 The Point-Slope Formula - part 2 CC
2.5c 10 3:11 Application of Linear Functions - Cost and Profit CC
2.6a 11 4:58 Transformations of Graphs - part 1 CC
2.6b 11-12 4:42 Transformations of Graphs - part 2 CC
2.6c 12-13 4:51 Transformations of Graphs - part 3 CC
2.7a 13 4:18 Symmetry; Even and Odd Functions - part 1 CC
2.7b 13-14 5:05 Symmetry; Even and Odd Functions - part 2 CC
2.7c 14 4:20 Piecewise-Defined Functions - part 1 CC
2.7d 15 2:47 Piecewise-Defined Functions - part 2 CC
2.7e 15 4:09 Increasing and Decreasing Functions CC
2.7f 15 2:04 Relative Maximum and Minimum Values of a Function CC
2.8a 16 6:19 Algebra of Functions CC
2.8b 16 1:30 The Difference Quotient CC
2.8c 17 5:47 The Composition of Functions CC
2.8d 17 3:13 Reading Function Values From a Graph CC
Notes Chapter 3 Click HERE to download (and print) the Chapter 3 notes which correspond to the video lecture links below.
Section
Page(s)
Length
Topic
CC link
3.1a 2 5:44 Quadratic Functions - part 1 CC
3.1b 2-3 5:48 Quadratic Functions - part 2 CC
3.1c 3 5:25 Quadratic Functions - part 3 CC
3.1d 4 5:10 Quadratic Functions - part 4 CC
3.1e 4 3:52 Quadratic Functions - part 5 CC
3.1f 4 3:59 Quadratic Max/Min Applications CC
3.2a 5 3:53 Introduction to Polynomial Functions CC
3.2b 6 5:25 End Behavior and Zeros of Functions CC
3.2c 6 3:33 The Intermediate Value Theorem CC
3.2d 7 4:32 Zeros of Even and Odd Multiplicities CC
3.2e 8 4:44 Graphing Polynomial Functions CC
3.3a 8 4:19 Long Division - part 1 CC
3.3b 9 4:58 Long Division - part 2CC
3.3c 9 5:12 Synthetic Division - part 1 CC
3.3d 9 3:54 Synthetic Division - part 2 CC
3.3e 10 3:51 Synthetic Division - part 3 CC
3.3f 10 4:00 Synthetic Division - part 4 CC
3.3g 10 3:22 Synthetic Division - part 5 CC
3.4a 11 2:56 The Rational Zero Theorem CC
3.4b 11 3:08 Finding Zeros of Polynomials - part 1 CC
3.4c 11 5:31 Finding Zeros of Polynomials - part 2 CC
3.4d 12 6:46 Finding Zeros of Polynomials - part 3 CC
3.4e 12 3:24 Finding a Polynomial Function, Given Zeros and Constraints CC
3.4f 12-13 4:07 Descartes' Rule of Signs CC
3.4g 13 3:30 Upper and Lower Bound Theorem CC
3.4h 13 8:44 Finding Zeros of Polynomials - part 4 CC
3.5a 14 5:35 Introduction to Rational Functions CC
3.5b 14-15 5:31 Vertical and Horizontal Asymptotes - part 1 CC
3.5c 15 3:42 Vertical and Horizontal Asymptotes - part 2 CC
3.5d 16 4:09 Slant (Oblique) Asymptotes and Translating Rational Functions CC
3.5e 16 3:16 Graphing Rational Functions - part 1 CC
3.5f 16 4:46 Graphing Rational Functions - part 2 CC
3.5g 17 3:24 Graphing Rational Functions - part 3 CC
3.5h 17 4:32 Graphing Rational Functions - part 4 CC
3.6a 18 6:13 Polynomial Inequalities - part 1 CC
3.6b 18 4:51 Polynomial Inequalities - part 2 CC
3.6c 18 3:59 Polynomial and Rational Inequalities CC
3.6d 18 3:36 Rational Inequalities CC
3.6e 19 4:04 The Position Function CC
3.6f 19 4:52 Domains of Radical and Rational Function CC
3.7a 20 3:27 Variation - part 1 CC
3.7b 20 4:50 Variation - part 2 CC
3.8a 21 4:50 Chapter 3 Review - part 1 CC
3.8b 21 4:36 Chapter 3 Review - part 2 CC
3.8c 22 3:42 Chapter 3 Review - part 3 CC
3.8d 22 4:49 Chapter 3 Review - part 4 CC
3.8e 23 5:35 Chapter 3 Review - part 5 CC
3.8f 23 6:08 Chapter 3 Review - part 6 CC
Notes Chapter 4 Click HERE to download (and print) the Chapter 4 notes which correspond to the video lecture links below.
Section
Page(s)
Length
Topic
CC link
4.1a 2 4:02 One-to-One Functions CC
4.1b 2 4:47 Definition of an Inverse FunctionCC
4.1c 2-3 5:02 Inverse Functions - part 1 CC
4.1d 3 6:17 Inverse Functions - part 2 CC
4.1e 4 5:41 Inverse Functions - part 3 CC
4.2,3a 4-5 3:57 Exponential Functions CC
4.2,3b 5 3:48 Converting Between Logarithmic and Exponential Equations CC
4.2,3c 5 4:03 Graphing Logarithmic and Exponential Equations - part 1 CC
4.2,3d 6 6:51 Graphing Logarithmic and Exponential Equations - part 2 CC
4.2,3e 7 6:56 Evaluating Exponential and Logarithmic Functions CC
4.2,3f 7 5:00 Estimating the Value of Logarithms CC
4.2,3g 7-8 2:59 Basic Properties of Logarithms CC
4.2,3h 8 5:57 Compound Interest CC
4.2,3i 8 3:19 Exponential Growth Application CC
4.4a 9 4:21 Properties of Logarithms - part 1 CC
4.4b 9-10 5:22 Properties of Logarithms - part 2 CC
4.4c 10 2:34 The Change-of-Base Formula CC
4.5a 10 3:41 Solving Exponential Equations - part 1 CC
4.5b 11 4:34 Solving Exponential Equations - part 2 CC
4.5c 11-12 5:15 Solving Logarithmic Equations - part 1 CC
4.5d 12 6:31 Solving Logarithmic Equations - part 2 CC
4.6 13 6:54 Modeling with Exponential and Logarithmic Equations CC
4.7a 14 4:46 Chapter 4 Review - part 1 CC
4.7b 14 4:17 Chapter 4 Review - part 2 CC
4.7c 15 5:42 Chapter 4 Review - part 3 CC
4.7d 16 4:32 Chapter 4 Review - part 4 CC
4.7e 16 4:59 Chapter 4 Review - part 5 CC
Notes Chapter 5 Click HERE to download (and print) the Chapter 5 notes which correspond to the video lecture links below.
Section
Page(s)
Length
Topic
CC link
5.1a 2 5:49 Systems of Linear Equations CC
5.1b 2-3 5:32 Solving Linear Systems Using Substitution CC
5.1c 3 4:49 Applications of Linear Systems - part 1 CC
5.1d 4 4:52 Applications of Linear Systems - part 2 CC
5.2a 4-5 5:48 Systems of Equations in 3 Variables - part 1 CC
5.2b 5 6:49 Systems of Equations in 3 Variables - part 2 CC
5.2c 5-6 4:05 Systems of Equations in 3 Variables - part 3 CC
5.2c2 6 2:15 Systems of Equations in 3 Variables - part 3.5 ------
5.2d 6 5:47 Systems of Equations in 3 Variables - part 4 CC
5.3a 7 3:50 Partial Fraction Decomposition - part 1 CC
5.3b 7 4:28 Partial Fraction Decomposition - part 2 CC
5.3c 7 5:04 Partial Fraction Decomposition - part 3 CC
5.3d 7 8:02 Partial Fraction Decomposition - part 4 CC
5.4a 8 4:45 Systems of Nonlinear Equations - part 1 CC
5.4b 8 4:56 Systems of Nonlinear Equations - part 2 CC
5.4c 8-9 6:55 Systems of Nonlinear Equations - part 3 CC
5.5a 9-10 5:10 Graphing Inequalities CC
5.5b 10 5:06 Graphing Systems of Inequalities CC
5.6a 11 4:18 Linear Programming - part 1 CC
5.6b 11 5:59 Linear Programming - part 2 CC
5.6c 12 4:59 Linear Programming - part 3 CC
Notes Chapter 6 Click HERE to download (and print) the Chapter 6 notes which correspond to the video lecture links below.
Section
Page(s)
Length
Topic
CC link
6.1a 2 6:41 Intro to Solving Systems Using Matrices CC
6.1b 2 2:36 Intro to Row Operations CC
6.1c 3 4:53 Solving a 2x2 System Using Matrices CC
6.1d 3 7:26 Solving a 3x3 System Using Matrices CC
6.2a 4 4:46 Independent and Dependent Systems - part 1 CC
6.2b 4 7:10 Independent and Dependent Systems - part 2 CC
6.2c 5 5:01 Independent and Dependent Systems - part 3 CC
6.3a 6 4:44 Adding and Subtracting Matrices - part 1 CC
6.3b 6 3:31 Adding and Subtracting Matrices - part 2 CC
6.3c 7 6:27 Multiplying Matrices - part 1 CC
6.3d 7 2:38 Multiplying Matrices - part 2 CC
6.4a 8 3:55 Finding the Inverse of a Matrix - part 1 CC
6.4b 8 6:42 Finding the Inverse of a Matrix - part 2 CC
6.5a 9 6:44 Evaluaing Determinants CC
6.5b 9-10 5:27 Cramer's Rule - part 1 CC
6.5c 10 7:28 Cramer's Rule - part 2 CC
Notes Chapter 7 Click HERE to download (and print) the Chapter 7 notes which correspond to the video lecture links below.
Section
Page(s)
Length
Topic
CC link
7.1a 2 3:14 Introduction to Conic Sections CC
7.1b 2-3 8:06 The Derivation of the Ellipse Formula CC
7.1c 3-4 7:24 The Ellipse - part 1 CC
7.1d 4-5 8:06 The Ellipse - part 2 CC
7.1e 5 4:53 Finding the Equation of an Ellipse From Clues CC
7.1f 6 6:19 Finding the Equation of an Ellipse From Clues - part 2 CC
7.2a 6 8:04 The Hyperbola - part 1 CC
7.2b 7 6:51 The Hyperbola - part 2 CC
7.2c 7-8 5:26 The Hyperbola - part 3 CC
7.2d 8 5:27 Finding the Equation of a Hyperbola From Clues CC
7.2e 8 3:32 Finding the Equation of a Hyperbola From Clues - part 2 CC
7.3a 9 4:11 The Derivation of the Parabola Equation CC
7.3b 9 2:51 The Connection Between the Traditional and Conic Parabola Equations CC
7.3c 10 3:33 The Parabola - part 1 CC
7.3d 10 4:45 The Parabola - part 2 CC
7.3e 10-11 5:47 The Parabola - part 3 CC
7.3f 11 5:50 Finding the Equation of a Parabola From Clues CC
7.Pa 12 4:59 General Conic Sections - part 1 CC
7.Pb 12 4:35 General Conic Sections - part 2 CC
7.Pc 12-13 5:52 General Conic Sections - part 3 CC
7.Pd 13 5:19 General Conic Sections - part 4 CC
7.Ra 14 6:07 Conic Section Review - part 1 CC
7.Rb 14 5:11 Conic Section Review - part 2 CC
7.Rc 15 5:53 Conic Section Review - part 3 CC
7.Rd 15 4:48 Conic Section Review - part 4 CC
7.Re 16 3:17 Conic Section Review - part 5 CC
7.Rf 16 4:32 Conic Section Review - part 6 CC
Notes Chapter 8 Click HERE to download (and print) the Chapter 8 notes which correspond to the video lecture links below.
Section
Page(s)
Length
Topic
CC link
8.1a 2 5:27 Introduction to Sequences CC
8.1b 2 5:06 Recursive Sequences CC
8.1c 3 3:36 Factorial Notation CC
8.1d 3 4:37 Sigma Notation CC
8.2a 3-4 5:53 Arithmetic Sequences - part 1 CC
8.2b 4 4:53 Arithmetic Sequences - part 2 CC
8.2c 5 5:59 Arithmetic Series - part 1 CC
8.2d 5-6 3:58 Arithmetic Series - part 2 CC
8.2e 6 3:18 Representing Series in Signma Notation CC
8.3a 6 4:36 Geometric Sequences - part 1 CC
8.3b 7 7:15 Geometric Sequences - part 2 CC
8.3c 7 5:56 Geometric Series - part 1 CC
8.3d 8 6:30 Geometric Series - part 2 CC
8.3e 8 4:04 Sequences and Series Review - part 1 CC
8.3f 9 4:56 Sequences and Series Review - part 2 CC
8.3g 9 6:42 Sequences and Series Review - part 3 CC
8.4a 10 5:38 Proof by Induction - part 1 CC
8.4b 10-11 7:20 Proof by Induction - part 2 CC
8.5a 11 7:28 Pascal's Triangle and Binomial Expansion CC
8.5b 12 3:22 Coefficients of a Binomial Expansion CC
8.5c 12 3:53 The Binomial Theorem - part 1 CC
8.5d 12 5:16 The Binomial Theorem - part 2 CC
8.Ra 13 5:10 Chapter 8 Review - part 1 CC
8.Rb 13 4:39 Chapter 8 Review - part 2 CC
8.Rc 14 5:19 Chapter 8 Review - part 3 CC
8.Rd 14 5:03 Chapter 8 Review - part 4 CC
8.Re 15 4:00 Chapter 8 Review - part 5 CC
8.Fa 15 4:31 Final Exam Review - part 1 CC
8.Fb 16 5:12 Final Exam Review - part 2 CC
8.Fc 16-17 6:14 Final Exam Review - part 3 CC
8.Fd 17 4:42 Final Exam Review - part 4 CC
8.Fe 18 5:25 Final Exam Review - part 5 CC
8.Ff 19 5:06 Final Exam Review - part 6 CC
8.Fg 19 2:56 Final Exam Review - part 7 CC
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