Chapter 1

 

Chapter 2

Functions and Their Graphs

Polynomial and Rational Functions

  1.1      Rectangular Coordinates

26:42

   2.1     Quadratic Functions and Models

31:48

  1.2      Graphs of Equations

51:24

   2.2     Polynomial Functions of Higher Degree

31:28

  1.3      Linear Equations in Two Variables

38:33

   2.3     Polynomial and Synthetic Division

27:03

  1.4      Functions       

32:37

   2.4     Complex Numbers

22:25

  1.5      Analyzing Graphs of Functions

33:13

   2.5     Zeroes of Polynomial Functions

1:00:00

  1.6      A Library of Functions

15:52

   2.6     Rational Functions

35:06

  1.7      Transformations of Functions

30:30

   2.7     Nonlinear Inequalities

17:16

  1.8      Combinations of Functions: Composite Functions

 9:46

 

 

  1.9      Inverse Functions

27:42

 

 

  1.10    Mathematical Modeling and Variation

39:46

 

 

 

 

Chapter 3

 

Chapter 4

Exponential and Logarithmic Functions

Trigonometry

  3.1      Exponential Functions and Their Graphs

28:51

   4.1     Radian and Degree Measure

30:19

  3.2      Logarithmic Functions and Their Graphs

35:25

   4.2     Trigonometric Functions: The Unit Circle

28:46

  3.3      Properties of Logarithms

26:58

   4.3     Right Triangle Trigonometry

42:42

  3.4      Exponential and Logarithmic Equations

34:06

   4.4     Trigonometric Functions of Any Angle

56:31

  3.5      Exponential and Logarithmic Models

49:06

   4.5     Graphs of Sine and Cosine Functions

51:28

 

 

   4.6     Graphs of Other Trigonometric Functions

1:07:45

 

 

   4.7     Inverse Trigonometric Functions

43:07

 

 

   4.8     Applications and Models

25:11

 

 

Chapter 5

 

Chapter 6

Analytic Trigonometry

Additional Topics in Trigonometry

  5.1      Using Fundamental Identities

30:56

   6.1     Law of Sines

28:07

  5.2      Verifying Trigonometric Identities

20:41

   6.2     Law of Cosines

19:16

  5.3      Solving Trigonometric Equations

54:42

   6.3     Vectors in the Plane

59:05

  5.4      Sum and Difference Formulas

23:11

   6.4     Vectors and Dot Products

40:07

  5.5      Multiple-Angle and Product-to-Sum Formulas

38:45

   6.5     Trigonometric Form of a Complex Number

37:21

 

 

Chapter 7

 

Chapter 8

Systems of Equations and Inequalities

Matrices and Determinants

  7.1      Linear and Nonlinear Systems of Equations

25:16

   8.1     Matrices and Systems of Equations

52:29

  7.2      Two-Variable Linear Systems

13:58

   8.2     Operations with Matrices

17:48

  7.3      Multivariable Linear Systems

32:47

   8.3     The Inverse of a Square Matrix

31:54

  7.4      Partial Fractions

27:06

   8.4     The Determinant of a Square Matrix

24:12

  7.5      Systems of Inequalities

25:00

   8.5     Applications of Matrices and Determinants

30:51

  7.6      Linear Programming

23:52

 

 

 

 

Chapter 9

 

Chapter 10

Sequences, Series, and Probability

Topics in Analytic Geometry

  9.1      Sequences and Series

23:23

  10.1    Lines

21:27

  9.2      Arithmetic Sequences and Partial Sums

18:22

  10.2    Introduction to Conics: Parabolas

38:28

  9.3      Geometric Sequences and Series

30:10

  10.3    Ellipses

40:13

  9.4      Mathematical Induction

25:04

  10.4    Hyperbolas

42:49

  9.5      The Binomial Theorem

28:28

  10.5    Rotation of Conics

28:58

  9.6      Counting Principles

24:29

  10.6    Parametric Equations

31:23

  9.7      Probability

28:52

  10.7    Polar Coordinates

26:48

 

 

  10.8    Graphs of Polar Equations

36:36

 

 

  10.9    Polar Equations of Conics

46:26

 

 

Chapter 11

 

Chapter 12

Analytic Geometry in Three Dimensions

Limits and an Introduction to Calculus

  11.1    The Three-Dimensional Coordinate System

25:25

  12.1    Introduction to Limits

22:36

  11.2    Vectors in Space

21:30

  12.2    Techniques for Evaluating Limits

18:14

  11.3    The Cross Product of Two Vectors

24:34

  12.3    The Tangent Line Problem

26:19

  11.4    Lines and Planes in Space

56:12

  12.4    Limits at Infinity and Limits of Sequences

20:58

 

 

  12.5    The Area Problem

33:24

 

           ̶   indicates sections that are included in the standard Collin Math Department curriculum; thus, all other sections are optional by Instructor.
Chapters 1-3 are considered Algebra review, covered on LAB #1, and included in the TEST modules at the Instructor's discretion.