Math 312 is an introductory course on real analysis. I taught it in in Spring 2009.

As stated in the Penn State catalog of courses, the only prerequisite for Math 312 is Math 141.

The textbook was Kenneth A. Ross, *Elementary Analysis: The Theory of
Calculus*, Springer, X + 351 pages.

There was no syllabus. My plan was to go through the book in order. Ideally I had hoped to cover the entire book, but instead we covered only Chapters 1 through 4.

Class meetings were Monday Wednesday Friday 2:30 - 3:20 PM in 116 Osmond. Class attendance was mandatory.

My office hours were Monday Wednesday 4-5 PM and by appointment. To make an appointment, please send me email.

There were two in-class midterm exams, Friday February 13 and Friday March 27. The final exam was Friday, May 8, 10:10-12:00, in 203 EE West.

Grades were based on homework (30 percent), midterm exams (40 percent) and the final exam (30 percent).

Here are some course materials.

- Initial Handout: DVI, PS, PDF.
- Homework #1: Exercises 1.4, 1.7, 1.11, 2.4, 3.4, 3.7.
- Homework #1 Solutions: DVI, PS, PDF.
- Homework #2: Exercises 4.1, 4.3, 4.7, 4.14, 5.3.
- Homework #2 Solutions: DVI, PS, PDF.
- Homework #3: Exercises 7.3, 7.5, 8.2(b)(e), 8.3, 8.8, 9.3, 9.4, 9.12, 9.18.
- Midterm Exam #1: DVI, PS, PDF.
- Midterm Exam #1 Solutions: DVI, PS, PDF.
- Homework #3 Solutions: DVI, PS, PDF.
- Homework #4: Exercises 10.6, 10.8, 10.10, 11.2, 11.3, 11.6, 11.10, 12.2, 12.12.
- Homework #4 Solutions: DVI, PS, PDF.
- Homework #5: Exercises 14.3, 14.4, 14.6, 14.13, 15.3, 15.4, 15.7.
- Homework #5 Solutions: DVI, PS, PDF.
- Homework #6: Exercises 17.3(a,b,c,f), 17.4, 17.9(c,d), 17.10(a,b), 17.14, 18.5, 18.7, 19.1, 19.2(b,c), 19.5.
- Midterm Exam #2: DVI, PS, PDF.
- Midterm Exam #2 Solutions: DVI, PS, PDF.
- Homework #6 Solutions: DVI, PS, PDF.
- Homework #7: Exercises 20.1, 20.18, 23.1, 23.4, 23.6, 24.1, 24.2, 24.6, 24.14, 24.17, 25.3, 25.6, 26.2, 26.6, 26.7.
- Homework #7 Solutions: DVI, PS, PDF.
- Final Exam: DVI, PS, PDF.
- Final Exam Solutions: DVI, PS, PDF.

t20@psu.edu / 8 May 2009