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
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