Prerequisites and a short description

• Prerequisite: high level of performance in MATH 221-222, 223-224, or 192 and 294 and familiarity with proofs
• Description: Introduction to the rigorous theory underlying calculus, covering the real number system and functions of one variable. Based entirely on proofs. The student is expected to know how to read and, to some extent, construct proofs before taking this course. Topics typically include construction of the real number system, properties of the real number system, continuous functions, differential and integral calculus of functions of one variable, sequences and series of functions.

Course information at a glance

• Meeting times: TR 08:40-09:55 a.m., MT 203
• Instructor: Richard Vale, My email address: rvale (at sign) math . cornell (dot) edu Office hours: Wednesday 2-4 MT 583.
• TA: Tianyi Zheng, tzheng@math etc. Office hours: Friday 3:30-5:30 MT 218, starting Feb 5.
• Textbook: Robert Strichartz, The Way of Analysis (revised edition), Jones and Bartlett, 2000 (ISBN: 0-7637-1497-6)
• Syllabus information

Homework

• Homework 1 Due Thursday 4 February. Solutions.
• Homework 2 Due Thursday 11 February. Solutions.
• Homework 3 Due Thursday 18 February. (Note: there was a misprint in an earlier version which referred to section 2.1.4 instead of 2.2.4.) Solutions.
• Homework 4 Due TUESDAY March 2. Solutions.
• Homework 5 Due Tuesday March 16. Solutions.
• Homework 6 Due Thursday April 1. Solutions.
• Homework 7 Due Tuesday April 13. Solutions.
• Prelim 2. Due Tuesday April 20. Solutions.
• Homework 8. Due Tuesday May 3. Solutions.

Exams

• Prelim 1 will be held in class on Thursday 11 March. The prelim will count towards a small percentage of your final grade. It will be closed-book. Questions will be a mixture of definitions and proving theorems.
• Practice (1) and Solutions.
• Practice (2) and Solutions.
• Prelim and Solutions.
• Prelim 2 will be a take-home exam, like a regular homework. It will be handed out on 13 April and is to be submitted on 20 April. Prelim 2.
• Final 7-9:30 pm 18 May. MT 251.
• Practice problems+exam
• Solutions to practice final
• Review session: 2pm May 11 in MT 206. Attendance optional!
• The final and the solutions to the final will be posted here on Wednesday. I will be out of town for the rest of this week. If you have questions about grading or would like to see your graded paper, these will be available from May 24 to May 26.
• Final
• Solutions to final