Instructor Office:  694 PGH
Office Hours: Tue 12-1, Thu 11-12 or by appointment
Phone Number:  513-7443
E-mail address:  dlabate@math.uh.edu
Homepage:  http://www.math.uh.edu/~dlabate

This is the first rigorous theorem/proof-type course in analysis at the University of Houston. Its goal 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 Real Numbers. During this course, students will develop their ability to think deductively, analyze mathematical statements, and apply mathematical ideas to the solution of new problems. The material covered during the course is centered on the theory underpinning one-dimensional calculus, and includes the concepts of real number system, function, limit, continuity, differential and integral calculus.
Notice that the emphasis of this course is on MATHEMATICAL PROOFS rather than on computational calculus-type problems.

Analysis with an Introduction to Proof, Fourth Edition, by Steven R. Lay, Prentice-Hall, 2004. ISBN-10: 0131481010.
 

I encourage you to work the homework assignments regularly and carefully. The only to learn to write proofs (and hence truly understand the mathematical concepts involved) is by working on your own, and not by watching someone else doing the work for you. There will be weekly homework assignments or quizzes counting 30% towards the final grade. These assignments will require for you to write simple proofs based on the material of the lectures. You are encouraged to discuss the homework with other students or with me (preferably in my office). However, be aware that you should be able to work on your own to master the material and be able to solve the test problems in class.

Homework problems

Selected HW Solutions and Test Solutions: HW1 , HW2 , Suggested Problems , Test1 , Test2 , Test3

There will be three tests in class counting 40% towards the final grade (tentatively, on Tue Sept 20, Tue Oct 25, Thu Nov 17 ). The worst of your 3 tests, will be half-dropped; that is, the 3 tests counts 40% towards the final grade, where the best two tests will count 16% each, the worst one will count 8%.
The final exam counts 30% towards the final grade. This is scheduled on Tue Dec 13, 2-5PM.
Makeup tests will be allowed for justified and unavoidable absences. In all other cases, you will get a zero score for a missed test.

Old Tests with solutions:

Test 1 ,   Test 2 .

 

The grade will be determined according to a set point scale: 90%-100%: A, 80%-89%: B, 70%-79%: C, 60-69% D; F is less than 60% (+ and - will also be used).