Teaching Assistant: Risheng Xu.
    Email: rux19@email.arizona.edu

Optional Textbooks:
  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:
    Lectures are made available online daily. See the schedule below.

Online Forum:
    There is an online forum at https://community.d2l.arizona.edu

Exercises, Final Exam, and Course Grade:
    Exercises are assigned two or three times 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.

Lecture Schedule:
    Week 1: Sets and n-tuples; quantifiers and functions; logic and proofs; Euclidean space
        (vector addition and scalar multiplication, norm and distance, open and closed sets).
    Week 2: Vector spaces and subspaces; linear combinations; linear independence and basis;
        linear functions; convex sets; concave and convex functions; alternative norms and
        metrics; unifying n-tuples, sequences, functions, and subsets.
    Week 3: Sequences and convergence; bounded sequences and subsequences; continuous
        functions; compact sets; approximation and Taylor polynomials; derivatives; quadratic forms.
    Week 4: Unconstrained optimization; optimization of concave functions; optimization,
        second-order conditions, and quadratic forms under constraints; nonlinear programming and
        Kuhn-Tucker conditions; differentiable quasiconcave functions; solution function and value
        function; the Implicit Function Theorem; the Envelope Theorem.
    Week 5: Application to demand theory; relations and partitions; correspondences.

mwalker@arizona.edu Mark Walker's Home Page