Selected UAS Math course topics Statement of Philosophy: The math faculty believe in giving students depth rather than just breadth. Problem solving is a big focus of our lower division classes. We believe that students should be able to apply the knowledge that they have to new situations by the time they complete Math 107. MATH 054 TOPICS AY 05/03 Textbook: Prealgebra 4th Edition, by Martin-Gay Ch 1: Whole Numbers (+,-,*,/) solve equations and applications Ch 2: Integers Ch 3: Solving Equations Ch 4: Fractions Ch 5: Decimals Ch 6: Ratio and Proportion Ch 7: Percent Ch 10: Polynomials MATH 055 TOPICS AY 05/03 Textbook: Elementary Algebra 6th Edition, by Bittinger (there may be a new edition) Ch 1: 1-8 Introduction to Algebraic Expressions Ch 2: 1-7 Equations, Inequalities and Problem Solving Ch 4: 1-8 Polynomials (operations on) Ch 5: 1-7 Factoring Polynomials Ch 6: 1-7 Rational Expressions and Equations Ch 3: 1-7 Introduction to Graphing Ch 7: 1-4 Solving systems by graphing, substitution, and elimination Ch 8: 1-6 Radical Expression and Equations Ch 9: 7 (if possible) Functions MATH 105 TOPICS AY 05/03 Textbook: Algebra for College Students 2nd Edition, by Angel Ch 1: 1-5 Sets, order of operations, exponents Ch 2: 1-6 Equations, Inequalities, and applications Ch 3: 1-6 Graphs and Functions Ch 4: 1 and 3 Systems of two equations and applications Ch 5: 1-8 Polynomial Functions (operations and factoring) Ch 6: 1-6 Rational Expressions and Equations Ch 7: 1-6 Roots and Radicals Ch 8: 1-5 Quadratic Function Ch 9: 1-6 (if possible, but at least section 1) Composition and Inverse MATH 107 TOPICS AY 05/03 Textbook: College Algebra and Trigonometry 4th Edition, by Cohen Ch 1: 1-9 Fundamental Concepts Ch 2: 1-4 Graphing Ch 3: 1-6 Equations, Inequalities, and applications Ch 4: 1-6 Functions (Stress Domain and Range) Ch 5: 1-7 Polynomial and Rational Functions Ch 6: 1-7 Exponential and Logarithmic Functions Ch 11: 1 and 6 (time permitting) Nonlinear systems MATH 108 TOPICS AY 05/03 Textbook: College Algebra and Trigonometry 4th Edition, by Cohen Ch 7: Right triangle trigonometry, applications, and identities Ch 8: Trigonometric Functions and Graphs Ch 9: Identities, Equations, and Inverse Ch 10: Law of Sines/Cosines, vectors, and polar coordinates Ch 12: Complex Numbers