Textbook: Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition
Time: Monday 7:35-9:25
Office Hours: Monday 6:30-7:30 or by appointment. Room 924HE.
Room: E921
Topics: The main objective of the course MATH 156 is to understand the basic logic of mathematical proofs and to learn some of the methods used for constructing proofs. Students will demonstrate achievement of this objective by successfully proving statements dealing with elementary properties of numbers, functions and sets and with some fundamental results in differential and integral calculus. Students will also demonstrate achievement of the objective of the course by successfully reading mathematical proofs supplied by the instructor. Emphasis will be given to proofs requiring an ε, δ argument.
Grade distribution:
There will be one midterm, one final exam and homework will be collected every two weeks.
Final 50%
Midterm 30%
Homework 20%
Homework:
Homework will be collected ever other week at the end of class. If you cannot attend class, you may email your homework to me before the end of that day's class. A few randomly selected questions on each set will be graded.
-Homework 1, due February 10th.
-Homework 2, due February 24th.
-Homework 3, due March 10th.
-Homework 4, due March 24th.
-Extra credit, due any class period: Solve Question 9 and 10 from the midterm.
-Homework 5, due April 7th.
-Homework 6, due April 28th.
-Homework 7, due May 12th.
Reading for next class:
All sections of Chapters 1,2,3, 4,5, 6, 7, 8, 9 and 10 (I consider Section 3.5 and Chapters 5 and 7 to be less important but still worth reading).
Email: jmiller at gc dot cuny dot edu
Final exam:
Date: May 19th from 7:35 to 9:25.
Review session: May 15th from 1:00-4:00 in Room 924HE.
Chapters covered: 1-10.
Midterm:
Date: March 17th in class.
Location: E921.
The midterm roughly covers up to and including Section 4.1.
Practice Midterm (Warning, there was a typo in Problem 6 that has now been corrected). Here are solutions.
There will be extra office hours on March 10th starting at 4:30. Here are some notes from class.