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Lecture Notes and Sample Exams
College Algebra and Trigonometry
College Algebra
Review of Linear Equations

Quiz
Review of Systems of Equations
Factoring by Completing the Square  Parts 1, 2, 3
(Review)
Factoring by Completing the Square  Part 4
(Review)
Applications of Linear Equations
The Pythagorean Theorem
Division of Polynomials
Remainder Theorem
Nonlinear Systems
Arithmetic Sequences
Exercises in Symmetry
Functions  Definition
Graphical Solutions
Quadratic Inequalities
Updated!
Rational Inequalites:
The Coolest Method
Two Other Methods
One More Method
Domain of Functions
(no logarithms)
Domain of Functions
(with logarithms)
The Arithmetic and Geometric Means
The Arithmetic, Geometric, and Harmonic Means
Complex Numbers
Optimization
Equations with Parameters
Tangent Lines
(completing the square)
Tangent Lines
(quadratic formula)
Logarithms 1
Basic functions and their properties
Transformations on graphs
Rules of Logarithms
(formulas only)
Logarithms 2
Basic Exponential and Logarithmic Equations
Exponential Equations
Geometric Sequences
The Fibonacci Sequence
Circles  Part 1
Circles  Part 2
Intersections
Inverse Functions
Limits at Infinity:
Part 1
,
Part 2
Limits at infinity
Graphing Polynomials  1
Graphing Factored Polynomials
Graphing the Reciprocal of a Function
Discontinuities of Rational Functions
Graphing Rational Functions
Factoring Polynomials
Equation of an ellipse
Induction
Summation
Trigonometry
The Pythagorean Theorem
Similar Triangles
Arcs and Sectors in a Circle
Right Triangle Trigonometry
Trig Function Values of Famous Angles
Simplifying Trigonomic Expressions
All Trigonometric Identities
Trigonometric Identities 1
Computing Trigonometric Expressions
Unit Circle Definitions
Symmetries of the Unit Circle
All Trigonometric Equations
Trigonometric Equations 1
Graphing Basic Trigonometric Functions
(sin
x
, cos
x
, tan
x
)
Graphing All Six Trigonometric Functions
Trigonometric Identities 2
Trigonometric Equations 2
Proof of Sum Formulas
Trigonometric Identities 3
Trigonometric Identities 4
Trigonometric Equations 3
Trigonometric Equations 4
Trigonometric Equations 5
Law of Sines
(Older Version)
New!
Law of Sines  Part 1
(Newer Version)
Law of Sines  Part 2 (the ambigious case)
Law of Cosines
New!
Triangle Identities
Solving Triangles
HalfAngle Formulas
ProductSum Identities
Graphing Inverse Trigonometric Functions
Graphing Trigonometric Functions
(practice)
Inverse Trigonometric Expressions
Vectors 1
(Geometrically Defined)
Vectors 2
(Algebraically Defined)
Vectors 3
(Dot Product)
Vectors
Graphing in Polar Coordinates
This page was last updated on September 6, 2019. Questions, comments: please email to mhidegkuti@ccc.edu.