Teaching Assistant: Risheng Xu.
Mathematics for Economists , by Carl Simon & Lawrence Blume
(W.W. Norton 1994; ISBN 978-0393957334 Hardbound; ISBN 978-0393117523 Paperbound).
A First Course in Optimization, by Rangarajan Sundaram
(Cambridge University Press 1996; ISBN 978-0521497190 Hardbound; ISBN 978-0521497701 Paperbound).
Book of Proof , by Richard Hammack
(Richard Hammack 2013; ISBN 978-0989472104)
Available as pdf at https://www.people.vcu.edu/~rhammack/BookOfProof/ Paperback available from Amazon.
Lectures are available on YouTube at the UAMathCamp channel. See the lecture schedule below.
Exercises, Final Exam, and Course Grade:
Exercises are assigned at the end of each week.
There is a Final Exam at the end of the course.
Your course grade will be determined by your performance on the final exam;
if your performance on the exercises is strong, that will be taken into account as well.
Sample exams from prior years, with solutions, are available at the link above.
Week 1: Lectures 1-10 (Foundations, Logic, and Proofs; Euclidean Space)
Week 2: Lectures 11-17 (Vector Spaces, Convexity, Concave Functions)
Week 3: Lectures 18-23 (Real Analysis)
Week 4: Lectures 24-29 (Foundations for Optimization)
Week 5: Lectures 30-36 (Optimization)
Week 6: Lectures 37-40 (Optimization)