**Math 54 - Section 8 - Summer 2015**

Current Homework | Section Materials | Exam Resources

Welcome! Please take a look at the Syllabus.

You can always reach me by email at `(my last name)@math.berkeley.edu`.

Or during my office hours (starting June 22nd): Mondays, Wednesdays, and Thursdays 10:10-11:00am in 1057 Evans.

If your question is about math, other students will benefit if you ask it on Piazza.

**Homework:**

1.1: 4, 14, 18

1.2: 8, 12, 14

1.3: 8, 12, 18, 22

1.4: 2, 4, 10, 16

1.5: 6, 18, 32

1.7: 2, 10, 34, 36, 38

1.8: 32, 34, 36

1.9: 2, 6, 10

Solutions to graded problems

2.1: 2, 4, 10, 12, 18, 22, 24, 26, 32

2.2: 2, 8, 12, 16, 24, 32, 38

2.3: 2, 4, 6, 8, 18, 20, 30, 34, 38

Solutions to graded problems

3.1: 2, 14, 18, 38

3.2: 2, 4, 8, 22, 26, 34, 36

3.3: 20, 28, 32

Solutions to graded problems

4.1: 2, 6, 12, 16, 32, 33, 34

4.2: 2, 6, 16, 18, 22, 28, 32

4.3: 2, 4, 6, 8, 12, 16, 24, 34

Solutions to graded problems

The material on coordinates (4.4), change of basis (4.7), and the matrix of a linear transformation (part of 5.4) is all closely related, but unfortunately it's spread out through these sections of the book. I've chosen to group these sections in class (covered on Tuesday 7/7) and on the homework.

4.4: 2, 8, 10, 14, 18, 28, 32

4.7: 2, 10, 14

5.4: 2, 6, 8

4.5: 2, 6, 8, 12, 14, 18, 26

4.6: 2, 6, 8, 10, 14, 16, 28, 29

Solutions to graded problems

5.1: 2, 4, 6, 8, 16, 25, 26, 31, 32

5.2: 2, 10, 18, 20

5.3: 2, 6, 8, 12, 20, 24, 25, 31, 32

5.4: 12, 14, 20, 22

Solutions to graded problems

5.5: 2, 6, 10, 12, 14, 20

6.1: 2, 6, 10, 14, 16, 18, 28, 31

6.2: 2, 6, 8, 12, 16, 20, 29, 30, 31, 33

Solutions to graded problems

6.3: 2, 4, 8, 12, 16, 24

6.4: 4, 8, 12, 22 [Note: We are not covering QR factorization of matrices]

6.7: 4, 6, 8, 14, 16, 17, 20, 22, 24, 26

7.1: 14, 22, 24, 28, 36

Solutions to graded problems

6.1: 2, 4, 6, 16, 18, 26, 28, 29

4.2: 2, 14, 18, 21, 22, 26

4.3: 4, 26, 28, 38

6.2: 2, 6, 14, 20, 26

Solutions to graded problems

4.4: 10, 18, 22, 28, 30, 32, 36

4.5: 2, 4, 8, 18, 28, 41, 46, 48

4.6: 2, 8, 9, 12

Solutions to graded problems

9.1: 4, 8, 12

9.4: 20, 21, 22, 26, 31

9.5: 14, 32, 42, 44

9.6: 2, 14

9.7: 4, 14, 25

9.8: 18, 28

Solutions to graded problems

Problems 12 and 14 in 10.3 ask you to use a computer to plot a few partial sums of the Fourier series. This is optional, and you certainly don't need to draw the plots on your homework. However, it is rather fun to see the fruits of your labor. I've made an animation of the first 21 partial sums in the Fourier series for these problems, which you can watch here.

10.2: 10, 14, 20, 24, 28

10.3: 12, 14, 20, 22, 28

10.4: 2, 4, 6, 12, 18

Solutions to graded problems

**Exam resources:** I will post solutions here after each exam.

Also, for each exam, I have uploaded the corresponding exam that I gave when I taught Math 54 in Summer 2011, together with my solutions. Following this are four exams from semesters of Math 54 gone by, two of which have solutions. Note that in classes taught by other professors, different material may have been covered and different language may be used. I'm happy to answer questions about issues like this, but I can't make any general comments about how the exams this summer will be similar or different to the exams below.

My old Midterm 1 and solutions.

Ribet, Fall '05 and solutions.

Lenstra, Fall '94 and solutions.

Gu, Fall '07.

Vojta, Spring '01.

My old Midterm 2 and solutions.

Ribet, Fall '05 and solutions.

Lenstra, Fall '94.

Bergman, Spring '96.

Vojta, Spring '01 and solutions.

My Final and solutions.

Ribet, Fall '05 and solutions.

Lenstra, Fall '94.

Tener, Summer '09.

Tucker-Simmons, Summer '09 and solutions.