Table of Contents

1. Introduction to Algebra 2. Functions 3. Graphs of Functions 4. Linear Equations 5. Simultaneous Linear Equations 6. Quadratic Functions and Equations 7. Inequalities 8. The Locus of an Equation 9. The Straight Line 10. Families of Straight Lines 11. The Circle 12. Rational and Polynomial Functions 13. Trigonometric Functions 14. Exponential and Logarithmic Functions 15. Complex Numbers 16. The Calculus of Single-Variable Functions: A Mathematics Approach 17. The Calculus of Single-Variable Functions: A Physics Approach 18. Vectors 19. Polar, spherical, and Cylindrical Coordinate Systems 20. Multivariate Calculus 21. Elementary Linear Algebra 22. Vector Calculus: Grad, Div, and Curl 23. Vector Calculus: Flux and Gauss’ Law 24. Differential Equations 25. Elementary Probability 26. Infinite Series

About the Author

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Philip A. Schmidt, Ph.D., has a B.S. from Brooklyn College (with a major in Mathematics), an M.A. in Mathematics, and a Ph.D. in Mathematics education from Syracuse University. He is Dean of the School of Education at SUNY College at New Paltz. He is author of 3000 Solved Problems in Precalculus and 2500 Solved Problems in College Algebra and Trigonometry as well as numerous journal articles.