14.102
Lecture Notes

9/9 – The Basics
9/14 – Span, Basis, and Rank
9/16 – Systems of Equations
9/21 – Matrix Diagonalization and Eigensystems
Handout on linear independence among eigenvectors for arbitrary and symmetric square matrices
9/23 – More on Linear Algebra (Linear Transformations, Quadratic Forms)
Handout on the eigenvalue test for positive/negative semidefiniteness of a quadratic form
9/28 – Functions and Calculus: Preliminaries
9/30 - Functions and Calculus: Continuity, Weierstrass, Intermediate Value Theorem, Convexity
10/5 – Functions and Calculus: Differentiability and Derivatives
10/7 – Quasiconvexity, Static Optimization
Handout on second order conditions
10/12 – More Optimization
Handout on the Viner-Wong Envelope Theorem
10/14 – Basic Integration in R
Handout on level curves and their tangents – for recitation, 10/15
10/19 – Real Analysis I – Relations and Sets
10/21 – Real Analysis II – Sequences, Continuity, Convex and Closed Sets, Separating Hyperplanes
Handout for 10/21 lecture – Review Problems
Handout on the Solow Model, covering material from the recitation on 11/4

Last modified: 9 November 2004