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