Math 104 (Analysis with Proofs) with Dmitry Vaintrob

Some practice exam problems. NOTE THESE ARE FROM ANOTHER INSTRUCTOR, AND YOU ARE NOT EXPECTED TO KNOW TOPICS LISTER THERE THAT HAVE NOT BEEN COVERED

In particular, skip problems involving metrics or Taylor's theorem.

Solutions to practice problems

Solutions to midterm 2 prep questions

Solutions to midterm 2

Some announcements.

Welcome to Analysis with Proofs! Please take a look at the syllabus.

Readings: new policy. The reading exercises are no2 part of the homeworks.

The class textbook covers the material in concise, readable chapters. There will be required reading for each class (not more than 20-30 pages per week. (Note however that reading math is much more dense than most other subjects!)

Midterm 2 prep exercises: 14.3, 14.6, 14.13 15.4, 17.8, 17.9 18.5, 18.7 19.2, 19.8 20.11, 20.17 23.1 left side

Syllabus

Readings

Date Chapters Notes
1/31 Ch. 1, 2
2/5 Chapters 3, 4, 6
2/7 Chapters 5, 7
2/12 Chapters 8, 9
2/14 Chapters 9, 10
2/21 Chapter 11
2/26 Prep for Midterm 1 on Tuesday
3/5 Chapter 12; try to read chapter 13 at least once, though don't worry if you don't understand much of it
3/12 Chapters 17-18
3/19 Chapters 19-20
3/26 Chapter 23 Look at 21-22 -- see if the notion of connectedness makes sense.
This is the beginning of the study of topology
4/11 Chapters 26, 28
4/16 Chapter 29
4/25 Chapters 30, 32 Skipping 31 for now
4/30 Chapter 33
5/2 Chapter 34

Homework sets.

Homework 1

Homework 2 (see tex file for LaTeX template).

Homework 3 (see tex file for LaTeX template).

Homework 4 (see tex file for LaTeX template).

Homework 5 (see tex file for LaTeX template).

Homework 6 (see tex file for LaTeX template). Exercises 9.12 and 9.13 are repeats, included by accident. You do not need to do them again.

Homework 7 (see tex file for LaTeX template).

Homework 8 (see tex file for LaTeX template).

Homework 9 (see tex file for LaTeX template).

Homework 10 New problem added 4/11. (see tex file for LaTeX template).

Homework 11 (see tex file for LaTeX template).

Homework 12 (see tex file for LaTeX template).

Homework 13 (see tex file for LaTeX template).

Old Reading Assignments

Solutions to selected book problems.