Course Homepage: http://www.math.uh.edu/~jmorgan/Math3333

Text: “Analysis with an Introduction to Proof”, fourth Edition, by Steven R. Lay, Prentice-Hall, 2001.

MATH 3333 is the first rigorous theorem/proof-type course in analysis at the University of Houston. Its role is to prepare students for advanced mathematics, especially for all math courses in analysis numbered 3334 and higher. The goal of the course is to teach students mathematical reasoning and the construction of proofs in the environment of . Topics covered include the topology of , convergence and limits, and the proofs of well-known calculus theorems such as the Mean Value Theorem, the Intermediate Value Theorem, the Inverse Function Theorem in , and the Fundamental Theorem of Calculus. Some instructors may require students to write homework solutions at the board that will be critiqued by their classmates and/or the instructor. We will cover chapters 3 - 7 in the text.

Written Homework: Homework will be collected regularly throughout the semester. Students will submit their homework on paper in class with writing (or typing) on only one side of the page. There should not be any scratch-outs, and all work should be neat and well written. Homework assignments will be posted on the course homepage. 

Electronic Homework: Students will access multiple choice questions from links on the course homepage at least twice each week. These questions will be answered on CourseWare using the online EMCF (electronic multiple choice form).

Exams: Two proctored midterm exams and a comprehensive final exam will be given on the UH campus. The dates and times of the exams will be announced later in the semester.