For Spring 2008, Math 163, Introductory Seminar at Lehigh University was an undergraduate topics course providing a bridge to more advanced mathematics courses. The topic was combinatorial duality.

Here are some notes, homework solutions exams etc from the course. Beware that there are almost certainly typos in these and that they are not complete, just notes related to class discussions.

Syllabus

Course Description

Notes on Fibonacci numbers, Binomial
Coefficients and Mathematical Induction

Notes on the arithmetic-geometric mean
inequality

Notes on sums of integer powers

Notes on Linear Programming Problems,
Fourrier-Motzkin elimination and Farkas' Lemma

Notes on the Euclidean Algorithm

Notes on approximations for linear
systems with no solution

Notes on Lagrange interpolation
polynomials

Notes on two person zero sum games

Assignment 1

Assignment 2

Assignment 3

Assignment 4

Assignment 5

Assignment 6

Assignment 7

Assignment 8

Exam 1

Exam 2

Exam 3

Garth Isaak home page