PART 1 Introduction Chapter 1: The Nature of Mathematical Economics Chapter 2: Economic Models PART 2 Static (or Equilibrium) Analysis Chapter 3: Equilibrium Analysis in Economics Chapter 4: Linear Models and Matrix Algebra Chapter 5: Linear Models and Matrix Algebra (continued) PART 3 Comparative-Static Analysis Chapter 6: Comparative Statics and the Concept of the Derivative Chapter 7: Rules of Differentiation and their use in Comparative Statics Chapter 8: Comparative-Static Analysis of General-Function Models PART 4 Optimization Problems Chapter 9: Optimization: A Special Variety of Equilibrium Analysis Chapter 10: Exponential and Logarithmic Functions Chapter 11: The Case of More Than One Choice Variable Chapter 12: Optimization with Equality Constraints NEW Chapter 13: Further Topics in Optimization (includes Envelope Theorem and Duality PART 5 Dynamic Analysis Chapter 14 Economic Analysis and Integral Calculus Chapter 15 Continuous Time: First Order Differential Equations Chapter 16 Higher-Order Differential Equations Chapter 17 DiscreteTime: First Order Difference Equations Chapter 18 Higher Order Difference Equations Chapter 19 Simultaneous Differential Equations and Difference Equations NEW Chapter 20: Introduction to Optimal Control Theory