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Professor Burckel's College Algebra Lecture Notes - Spring 2004



• MATH 100 College Algebra Introduction (Reserves: pp. 1-3)
• R.1 The Number Line (Reserves: pp. 4-11)
• R.2 Integer Exponents (Reserves: pp. 12-17)
• R.3 Polynomials (Reserves: pp.18-23)
• R.4 Factoring Polynomials (Reserves: pp. 24-29)
• R.4 -- Extra Notes on Factoring Polynomials
• R.5 Rational Expressions (RE's) (Reserves: pp. 30-40)
• R.6 Radicals & Rational Exponents, Roots of Positive Numbers (Reserves: pp. 41-52)
• 1.1 Coordinate Systems and Graphs (Reserves: pp. 53-66)
• First Review R.1 - R.6 + 1.1 (Reserves: pp. 67-78)
• 1.2 Functions and Relations (Reserves: pp. 79-91)
• 1.4 Alternative Descriptions of Lines; Word Problems (Reserves: pp. 92-105)
• 1.5 Analyzing functions from their graphs, combining functions PG 105-116
• 1.6 Symmetry (Reserves: pp. 117-131)
• 2.1 Solving equations and word problems (Reserves: pp. 132-141)
• 2.2 Two-dimensional (complex) numbers (Reserves pp. 142-149).
• 2.3 Solving quadratic (=2nd-degree) equations (Reserves: pp. 150 - 154).
• 2.4 Graphs of Quadratic Functions (reserves: pp. 155-164)
• 2.5 Solving equations (Reserves: pp. 165-176)
• 2.6 Linear Inequalities (Reserves: pp. 177-183)
• Second Review. (Reserves: pp. 183a - 183n)
• 3.1 Polynomials of Degree > 2 : Mini-Review (Reserves: pp. 184-194)
• 3.2 Dividing Polynomials - Factoring with Remainder (Reserves: pp. 195-205)
• 3.3 Finding Zeros of Polynomials (Reserves: pp. 206-219)
• 3.4 Graphing Rational Functions. (Reserves: pp. 220-233)
• Third Review. (Reserves: pp. 220-227)
• 3.5 Solving Polynomial & Rational inequalities. (Reserves: pp. 228-239)
• 4.1 Composition of Functions. (Reserves: pp. 240-245)
• 4.2 Exponential Functions. pt.1/2 (Reserves: pp. 246-251)
• 4.2 Exponential Functions. pt. 2/2 (Reserves: pp. 251-257)
• 4.3 Inverse Functions Reprised; Logarithms
• 4.4 Mini Review. (Reserves: pp. 272-280)
• 4.5 Exponential & Logarithmic Equations. (Reserves: pp. 281-288)
• 4.6 Exponential and Logarithmic Models (Reserves pp 289-299)
• 5.1 Systems of (Two) Equations (Reserves pp 300 - 306)
• 5.2 Three or More Variables (Reserves pp 307-314)
• 5.3 Gaussian Elimination and Matrices (Reserves: pp. 315 - 323)
• 5.4 Matrices as algebraic objects (Reserves: pp. 324-328)
• 5.5 Matrix inverses and their role in solving problems (Reserves: pp. 329-336)
• 5.8 Partial Fractions (Reserves pp 337-344)
• Final Review and Exhortation pt. 1 (Reserves pp. 345-350)
• Final Review and Exhortation pt. 2 (Reserves pp. 351-360)

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