Office hours: Tuesday, Thursday 2:00-3:30
927 Evans Hall
Our class meets in 3 Evans Hall , TuTh 9:30-11:00.
The first
lecture is on Tuesday August 28, 2001, the last lecture is on
Thursday December 6, 2001, and
there are no lectures on Thanksgiving, November 22.
This is the course home page (address
www.math.berkeley.edu/~reb/121).
Catalogue Description: Mathematics 121A
121A-121B. Mathematical Tools for the Physical Sciences. Three
hours of lecture per week. Prerequisites: 53 and 54. Functions of a
complex variable, Fourier series, finite-dimensional linear
systems. Infinite-dimensional linear systems, orthogonal expansions,
special functions, partial differential equations arising in
mathematical physics. Intended for students in the physical sciences
who are not planning to take more advanced mathematics courses.
(F,SP)
This section:
The primary goal of the course is to develop intuition and computational
skills, with little emphasis upon rigorous proofs.
Math 121A will cover the following topics.
- Review of series, power series (Chapter 1).
- Complex variables (Chapter 2).
- Review of partial differentiation (Chapter 4).
- Functions of a complex variable (Chapter 14).
- Integral transforms (Chapter 15) including a review of Fourier series
(Chapter 7).
- Calculus of variations (Chapter 9).
Textbook:
Mathematical methods in the physical sciences, by M. L. Boas.
Second edition. Published by Wiley.
Grading:
Homework will account for 40% of the grade.
Midterm 1 will account for 15% of the grade.
Midterm 2 will account for 15% of the grade.
The final will account for 30% of the grade.
Almost all the questions in the midterms or finals will be randomly
selected questions from the book similar to homework questions,
possibly with the constants in the questions changed. So if you
understand how to do all the homework questions you will be able to do
all the questions on the exams.
There will be no partial credit for incomplete answers of easy
problems on the midterms or final exam. Marks for exams or quizzes
will only be changed if there is a clear error on the part of the
marker, such as adding up marks incorrectly or forgetting to mark a
question. Marks for incomplete answers will never be increased,
because this is unfair to students who do not ask for their marks to
be increased.
The final homework grade will be
computed from the grades for the 20 best homeworks, so it does
not matter much if you forget one or two.
Examinations:
You may use a pocket calculator in the exams. You may also bring one
(ordinary sized!) sheet of paper with writing on both sides to the exams.
Apart from this one sheet, the exams are "closed book".
The first midterm is on Thursday 27 September.
The second midterm is on Tuesday 30 October.
The final is on Friday Dec 14, 8:00-11:00am in 100 Wheeler.
It will be mostly on the material covered after the second midterm,
though there will be some problems on earlier material.
Homework:
There will be a LOT of homework, probably about 40 problems a week
from the textbook. Homework is due by the end of the lecture 1 week
after it is assigned. Late homework will not be accepted.
- Tu Aug 28
Read pages 1-11.
Do problems 1.2, 1.5, 2.6, 2.7, 4.1, 4.4, 4.7, 5.1, 5.8, 6.1, 6.2, 6.3, 6.5, 6.7, 6.8, 6.11, 6.12, 6.15, 6.16, 6.17.
Solutions
- Th Aug 30
Read pages 12-23.
Do problems 6.(18, 21, 27, 33, 34, 35), 7.(2, 3, 5, 6), 9.(1, 3, 7, 14, 21),
10.(1, 3, 15, 19, 20).
Solutions
- Tu Sep 4 Read 22-35, problems
13.( 2, 6, 8, 13, 14, 16, 17, 33, 37, 40)
14.( 5, 6, 9)
15.( 5, 11, 16, 18)
16.( 3, 18, 22)
Solutions
- Th Sep 6 Read pages 43-56. Problems
4.(1,7,14),
5.(1,6,13,20,32,39,45,51,53,55,56,60,62),
6.(3,4,10,12).
Solutions
- Tu Sep 11
Read pages 57-70. Problems
7.(3,12)
8.(1,2)
9.(2,12,19,24,27,28)
10.(2,18,22,28)
11.(2,5,6,11,18)
12.1
Solutions
- Th Sep 13
Read pages 71-78. Problems
14.(2, 6, 9, 19, 24(b))
15.(1, 2, 3, 17)
16.(11)
17.(1, 7, 14, 17, 19, 23, 24, 25, 30, 32)
Solutions
- Tu Sep 18
Read pages 145-156. Problems
1.(2,4,6,7,23,24)
2.(3, 6, 8)
4.(1, 2, 8, 9, 10, 11, 13)
Solutions
- Th Sep 20
Read pages 156-167. Problems
5.(1, 4) 6.(1, 2, 3, 5, 6)
7.(1, 2, 4, 5, 8, 10, 15, 19)
Solutions
- Tu Sep 25 No homework because of
midterm.
- Th Sep 27 Midterm Solutions
- Tu Oct 2
Read pages 169-185. Problems
8.(1, 2, 3)
9.(1, 2, 3, 4, 5, 6, 7, 8)
10.(1, 2, 7, 10).
Solutions
- Th Oct 4
Read pages 186-195. Problems
11.(1, 3, 6, 7, 8, 9)
12.(1, 2, 3, 4, 7, 8)
Solutions
- Tu Oct 9
Read pages 579-586. Problems
1.(1,6,9)
2.(22, 23, 34, 36, 39, 54, 55, 56, 59, 60)
Solutions
- Th Oct 11
Read pages 588-595. Problems
3.(1,3a,4,17,18,19,20,22,23)
4.(6,7,9,10)
Solutions
- Tu Oct 16
Read pages 596-604. Problems
5.1
6.(1,2,3,4,5,6,14,18,22,24)
7.(1,6)
Solutions
- Th Oct 18
Read pages 605-616. Problems
7.(10, 11, 12, 14, 15, 29, 30a, 33, 34, 43)
8.(3, 5, 14)
Solutions
- Tu Oct 23
Read pages 617-627. Problems
9.(1,2,3,4,5)
10.(4,6,11,12)
Solutions
- Th Oct 25
No homework because of midterm .
- Tu Oct 30 Midterm 2. This will cover chapter 4, sections
5-13 and all of chapter 14.
Solutions
- Th Nov 1
Read pages 297-315.
Problems
3.(1,6)
4.(3, 4, 13, 14)
5.(1, 4, 7, 9, 11)
6.4
Solutions
- Tu Nov 6
Read 315-333.
Problems 7.(1,12,13)
8.11
9.(1,6,9)
11.(5,6,10)
12.(8,14)
Solutions
- Th Nov 8
Read 635-40.
Problems 2.(2,3,4,5,8,9,10,15,16,21,22,23)
Solutions
- Tu Nov 13
Read 642-646.
Problems 3.(1,2,3,4,6,13,25,27,28)
Solutions
- Th Nov 15
Read 647-652.
Problems 4.(3,4,6,7,11,12,17,21,23,24)
Homework due Tuesday November 27.
Solutions
- Tu Nov 20
Read 655-670.
Problem 5.(1,2,3,4,21), 6.(1,3,6,8), 7.(7,8)
Homework due Thursday November 29.
Solutions
- Th Nov 22 Thanksgiving holiday.
- Tu Nov 27
Read pages 670-675. Problems 8.(1,2,3,11,15,16)
Solutions
- Th Nov 29
Read pages 383-392.
Problems 2.(1,2,3,4) 3.(1,2,5,6)
Solutions
- Tu Dec 4 No homework
- Th Dec 6 No homework
- F Dec 14 8:00-11:00 Final (100 Wheeler)