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Lecture Notes and Sample Exams


PreAlgebra

Lecture Notes and Worksheets


About Mathematics
Division by Zero
The Order of Operations Agreement
Evaluating Algebraic Expressions
Solutions of Equations
Integers
Solving Linear Equations - Part 1
Fractions, Decimals, Percents - Conversions
Conversions between units of measurement
Standard labeling in triangles
Angles of a Triangle
Area


Beginning Algebra

Lecture Notes and Worksheets


Graphs of Equations     Examples - Answers
Simplifying Algebraic Expressions
Solving Linear Equations - Part 2
Linear Inequalities (practice)
Graphing Straight Lines
        Practice     Examples - Answers
Decimals and Fractions
Basic Percent Problems
Word Problems 1 (Linear)
Solving Linear Systems by Substitution
Factoring 1 (GCF, difference of squares theorem)
Factoring by Grouping (practice)
Factoring by the AC-method - Practice
Factoring the difference of cubes (Practice)
Wordproblems 2 (Quadratic)
Rules of exponents (formulas only)
Exponents 1
Integer Exponents (practice)
Sample Exams


Sample Exam 1 - Answers
Sample Exam 2 - Answers
Sample Exam 2 - Version B - Answers
Exam 3 Review - Answers - Solutions
Exam 3 Review - Version B - Answers
Exam 4 Review - Answers - Solutions
Final Review 1
Final Review 2 - Answers
Final Review 3 - Answers - Solutions


Intermediate Algebra

Lecture Notes and Worksheets


Factoring by completing the square   Part 1   Part 2   Part 3   Part 4
Review of Factoring 1 (GCF, difference of squares, completing the square)
Review of Factoring 2 (grouping, AC-method, sum and difference of cubes)
Review of Wordproblems 2 (Quadratic)
Solving Linear Systems by Elimination
Linear Word Problems
Mixture Problems
Motion Problems
The Pythagorean Theorem
Similar Triangles
Writing Equations of Straight Lines
Graphing a Parabola - Part 1 - Practice
Graphing a Parabola - Part 2
Rational Expressions
Complex Fractions
Radical Expressions
Radical Equations
The Real Number System
Deriving the Quadratic Formula
The proof that square root of 2 is irrational
Identity and Inverse Elements
Rational Exponents (practice)


Sample Exams


Exam 1 Review
Exam 2 Review
Exam 3 Review - Solutions
Exam 3 Review - Version B
Final Review - Solutions
Final Review - Version B - Solutions
Final Review - Version C
College Algebra and Trigonometry

Review of Linear Equations
Applications of Linear Equations
Nonlinear Systems
Arithmetic Sequences
Exercises in Symmetry
Quadratic Inequalities
Rational Inequalities
Domain of functions
Arcs and Sectors in a Circle
The Arithmetic, Geometric, and Harmonic Mean
Complex Numbers
Optimization
Equations with Parameters
Tangent Lines (completing the square)
Tangent Lines (quadratic formula)
Logarithms 1
Basic functions and their properties
Rules of Logarithms (formulas only)
Logarithms 2
Exponential Equations
Geometric Sequences
Circles - Part 1
Circles - Part 2
Right Triangle Trigonometry
Trigonometric Identities 1
Trigonometric Equations 1
Symmetries of the Unit Circle
Trigonometric Identities 2
Trigonometric Equations 2
Trigonometric Equations 3
Trigonometric Identities 3
Inverse Functions
Inverse Trigonometric expressions
Limits at infinity - Part 1
New! Graphing Polynomials - 1
Graphing Factored Polynomials
Graphing Rational Functions
Solving Triangles
Vectors
Graphing in Polar Coordinates
Factoring Polynomials
Equation of an ellipse



Calculus

Limits at infinity - Part 1
Limits at infinity - Part 2
Two-sided limits
Rules of differentiation 1 (proofs)
Differentiation 1 (practice - generalized polynomials)
Relative Extrema
Optimization 2
Differentiation 2 (practice - product rule, sinx, cosx, lnx)
Chain Rule (practice)
Differentiation 3 (practice - chain rule)
Differentiation 4 (practice - quotient rule, exponential functions)
Differentiation 5 (practice - inverse trig functions)
Implicit Differentiation
Optimization 3
Complete analysis of a function
More Optimization
More Optimization
Related Rates
Hyperbolic Functions
Riemann Sums (practice)
Leibniz notation
Definite Integrals (practice)
Integration by substitution
Applications of the Definite Integral - 1 (practice)
Applications of the Definite Integral -2
Improper integrals
Integration by parts



Business Calculus

Limits at infinity - Part 1
Limits at infinity - Part 2
Two-sided limits
Rules of differentiation 1 (proofs)
Differentiation 1 (practice)
Relative Extrema
Optimization 2
Differentiation 2
More Optimization
Implicit Differentiation
Riemann Sums (practice)
Definite Integrals (practice)
Applications of the Definite Integral (practice)
Integration by substitution
Improper integrals
Integration by parts


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This page was last updated on May 15, 2012.