Week 1 reading: Ch I+II. Sets, Real Numbers, L.U.B. property.

Homework: Ch I: 3b, 4b, 5a, 7d, 10a; Ch II: 2ab, 3, 6, 10a, 11, 13.

Homework #1 is due Wed Jan 13

Week 2 reading: Ch III.1-3. Metric spaces; open sets; convergence.

Homework: Ch III: 3, 4, 5, 8, 10, 11, 18.

Homework #2 is due Fri Jan 22

Week 3 reading: Ch III.4-6. Topological properties of Euclidean space.

Homework: Ch III: 24, 28, 31, 33, 38

Homework #3 is due Wed Jan 27

Week 4 reading: Ch IV.1-3. Continuous functions: open sets and limits.

Homework: Ch IV: 1d, 3, 5, 9a, 10ac

Homework #4 is due Wed Feb 3

Week 5 reading: Ch IV.4-6. Continuity and topology; Sequences of functions.

No homework this week.

The take-home exam is due Wed Feb 10

Week 6 reading: Ch V. Differentiation; Taylor's theorem.

Homework: Ch V: 1c, 9a, 11, 12, 14.

Homework #5 is due Wed Feb 17

Week 7 reading: Ch VI.1-3. Riemann integral.

Lecture notes on Riemann integrability

General Course Information

Text
Introduction to Analysis, by Max Rosenlicht

Homework
Homework is assigned and collected on a weekly basis. Assignments are posted on Friday. Homework assignments are due the following week on Wednesday, at the time of lecture. They are graded, and your homework score factors into your final grade.

Grade
Homework: 1/3; Midterm 1/3; Final: 1/3

Honor principle
Collaboration on homework assignments is permitted and encouraged. However, you must write up the solutions to all homework problems yourself. Even if you discuss homework problems with others, you should never simply copy the solution from someone else, but need to formulate and write up the solutions by yourself, in your own words.

Collaboration on exams of any kind is not permitted.

Special considerations
If you have a disability of any sort and may need need disability-related classroom or exam accommodations, please make an appointment to see your instructor as soon as possible. All conversations will remain confidential, although we may consult the Student Accessibility Services Office. You can stop by the Accessibility Services Office in Collis Center to register for support services.

Times and Locations

Office hours
Mon 4-6, Tue 4-6, 308 Kemeny Hall

Lecture
Period 11, MWF 11:15-12:20, Kemeny 004
x-hour: Tuesday 12-12:50

Exams
Midterm in-class exam: Tue Feb 2 during x-hour
Midterm take-home exam: Handed out Fri Feb 5, due on Wed Feb 10
Final take-home exam: During final exam week