College Algebra Lessons
Lesson 1:
Preliminaries and A Review of some basic Geometry
and Complex Numbers
Lesson 2:
Introduction to Equations and why we can solve Equations
Solving Linear Equations
Lesson 3:
Lesson 4:
Solving Systems of Linear Equations.
Lesson 5:
Matrices
Lesson 6:
Quadratic Equations
Lesson 7:
Inequalities and Solving Linear Inequalities
Lesson 8:
Absolute Value in Equations and Inequalities
Lesson 9:
The Cartesian Plane
Lesson 10:
Symmetry of Graphs and Straight Lines
Lesson 11:
Parallel and Perpendicular Lines
Lesson 12:
The Distance Formula and circles
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Lesson 13:
Introduction to Functions
Lesson 14:
Graphs and Graphing Techniques relating to Functions
Lesson 15:
More Graphing Techniques and Operations on Functions
Lesson 16:
One-to-One and Inverse Functions
Lesson 17:
Linear and Quadratic Functions
Lesson 18:
Polynomial Functions
Lesson 19:
Rational Functions and Long Division
Lesson 20:
Remainder and Factor Theorems and Zeros of Polynomials
Lesson 21:
Exponential and Logarithmic Functions
Lesson 22:
Properties of the Logarithmic Function and Solving Logarithmic and
Exponential Equations
Conic Sections:
Parabolas: Ellipses; Hyperbolas
Determinants
Cramer's Rule
Sequences and Series