2. Choice and Utility Functions a. Choice in Consumer Demand Theory and Walrasian Demand b. Properties of demand from continuity and properties from WARP . Representing Preferences with a Utility Function d. Demand as Derived from Utility Maximization e. Application: Fertility

11. Competition and Monopoly, some preliminary discussions a. Monopoly Pricing b. Cournot and Bertrand Oligopoly C. Two Part Pricing d. Price Discrimination e. Regulation

10. More on Production a. Derived Demand-Marshall's Laws b. Long Run/Short Run, LeChatelier, Dynamics C. Aggregating Supply d. Theory of the Firm, the Holdup Problem e. Agency Issues f. Application: The Coase Theorem

1. History and Anthropology a. Hutchinson emphasizes that her ethnography tries to encompass the history of the Nuer people b. Evans-Pritchard (Ep)on the other hand, tries only to capture the nuer at one moment in time

Lecture D34 Coupled Oscillators Spring-Mass System(Undamped/Unforced)

Solution General solution x(t)= A cos wnt +B sin wnt or, x(t)=Csin(wnt+φ) Initial conditions

In lecture D28, we derived three basic relationships embodying Kepler's laws: Equation for the orbit trajectory

Outline Review of Equations of Motion Rotational Motion Equations of Motion in Rotating coordinates Euler Equations Example: Stability of Torque Free Motion Gyroscopic Motion Euler Angles Steady Precession Steady Precession with M=0 MIT

Chapter 4 Contents Compounding Perpetual Annuities Frequency of Compounding Loan Amortization Present Value and Exchange Rates and Time Discounting Value of Money Alternative Discounted Inflation and Discounted Cash Flow Decision Rules Cash Flow Analysis Multiple Cash Flows Taxes and Investment Annuities

Chapter 15 Contents How Options Work Investing with Options The Put-Call Parity Relationship Volatility Option Prices Two-State Option Pricing Dynamic Replication the Binomial Model The Black-Scholes model Implied Volatility