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1. Review 2. Economic Applications of Graphs and Equations 3. The Derivative and the Rules of Differentiation. 4. Uses of the Derivative in Mathematics and Economics 5. Calculus of Multivariable Functions 6. Calculus of Multivariable Functions in Economics 7. Exponential and Logarithmic Functions in Economics 8. Differentiation of Exponential and Logarithmic Functions 9. The Fundamentals of Linear (or Matrix) Algebra 10. Matrix Inversion 11. Special Determinants and Matrices and Their Use in Economics 12. Comparative Statics and Concave Programming 13. IUntegral Calculus: The Indefinite Integral 14. Integral Calculus: The Definite Integral 15. First-Order Differential Equations 16. First Order Difference Equations 17. Second-Order Differential Equations and Difference Equations 18. Simultaneous Differential and Difference Equations 19. The Calculus of Variations 20. Optimal Control Theory
Edward T. Dowling, Ph.D., has been a professor of economics at Fordham University for 26 years. He has published several Schaum's guides as well as numerous journal articles.