MATH 115 Video Series
A videotape of any MATH
115 topic is available at the CAS for viewing in the CAS lab if you are unable to view it
here. Also, there may be a few sections included below that are not taught in MATH
115. Refer to your course syllabus if you need to be sure.
CHAPTER P
P.1
Real Numbers and Algebraic Expressions
P.2
Exponents and Scientific Notation
P.3
Radicals and Rational Exponents
P.4
Polynomials
P.5
Factoring Polynomials
P.6
Rational Expressions
P.7
Complex Numbers
P.8
Graphs and Graphing Utilities
CHAPTER 1
1.1
Linear Equations
1.2
Formulas and Applications
1.3
Quadratic Equations
1.4
Other Types of Equations
1.5
Linear Inequalities
1.6
Quadratic and Rational Inequalities
CHAPTER 2
2.1
Lines and Slope
2.2
Parallel and Perpendicular Lines and Circles
2.3
Introduction to Functions
2.4
Graphs and Functions
2.5
Transformations and Combinations of Functions
2.6
Composite and Inverse Functions
CHAPTER 3
3.1 Quadratic Functions
3.2 Polynomial
Functions and Their Graphs
3.3
Dividing Polynomials: Remainder and Factor Theorems
3.4
Zeros of Polynomial Functions
3.5
More on Zeros of Polynomial Functions
3.6
Rational Functions and Their Graphs
3.7
Modeling Using Variation
CHAPTER 4
4.1
Exponential
Functions
4.2
Logarithmic
Functions
4.3
Properties of
Logarithms
4.4
Exponential and Logarithmic Equations
4.5
Modeling with Exponential and Logarithmic Functions
CHAPTER 5
5.1 Angles and Their
Measure
5.2 Trigonometric
Functions: The Unit Circle
5.3
Right Triangle
Trigonometry
5.4
Trigonometric Functions of Any Angle
5.5 Graphs of
Sine and Cosine Functions
5.6
Graphs of Other Trigonometric Functions
5.7
Inverse Trigonometric Functions
5.8
Applications of Trigonometric Functions
CHAPTER 6
6.1
Verifying Trigonometric
Identities
6.2 Sum and Difference
Formulas
6.3 Double-Angle and
Half-Angle Formulas
6.4
Product-to-Sum and Sum-to-Product Formulas
6.5
Trigonometric
Equations
CHAPTER 7
7.1
The Law of Sines
7.2
The Law of Cosines
7.3
Polar Coordinates
7.4
Graphs of Polar Equations
7.5
Complex Numbers in Polar Form; DeMoivre's Theorem
7.6
Vectors
7.7
The Dot Product
CHAPTER 8
8.1
Systems of Linear
Equations in Two Variables
8.2
Systems of Linear
Equations in Three Variables
8.3
Partial Fractions
8.4
Systems of Nonlinear Equations in Two Variables
8.5
Systems of Inequalities
8.6
Linear Programming
CHAPTER 9
9.1
Matrix Solutions to Linear Systems
9.2
Inconsistent and Dependent Systems and Their Applications
9.3
Matrix Operations and Their Applications
9.4
Multiplicative Inverses of Matrices and Matrix Equations
9.5
Determinants and Cramer's Rule
CHAPTER 10
10.1
The Ellipse
10.2
The Hyperbola
10.3
The Parabola
10.4
Rotation of Axes
10.5
Parametric Equations
10.6
Conic Sections in Polar Coordinates
CHAPTER 11
11.1
Sequences and Summation Notation
11.2
Arithmetic Sequences
11.3
Geometric Sequences
11.4
Mathematical Induction
11.5
The Binomial Theorem
11.6
Counting Principles, Permutations, and Combinations
11.7
Probability
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