For sophomore-level and above courses in Mathematical Methods, Mathematics for Economists. An introduction to those parts of mathematical analysis and linear algebra which are most important for economists.
1. Introduction. 2. Functions of One Variable: Introduction. 3. Polynomials, Powers, and Exponentials. 4. Single Variable Differentiation. 5. More on Differentiation. 6. Limits, Continuity, and Series. 7. Implications of Continuity and Differentiability. 8. Exponential and Logarithmic Functions. 9. Single Variable Optimization. 10. Integration. 11. Further Topics in Integration. 12. Linear Algebra: Vectors and Matrices. 13. Determinants and Matrix Inversion. 14. Further Topics in Linear Algebra. 15. Functions of Several Variables. 16. Toolkit for Comparative Statics. 17. Multivariable Optimization. 18. Constrained Optimization. 19. Linear Programming. 20. Difference Equations. 21. Differential Equations. Appendix A: Elementary Algebra. Appendix B: Sums. Induction. Appendix C: Trigonometric Functions. Appendix D: Geometry. Answers to Problems. Literature. Index.