#
Mathematics 16B, Fall 2001

**Office hours:** Wednesday, 9:30am - 11:00am and
Thursday 12:30pm - 2:00pm.

925 Evans
Hall

**Office telephone:** 642 4687

**email:** bernd@math.berkeley.edu
Our class meets in 100 Lewis on
Mondays, Wednesdays and Fridays from 11:00 am
until 12:00 noon.

Participation in the class, even in this large lecture course,
will be strongly encouraged.

### Teaching assistants:

- Gizem Karaali,
gizem@math, office hours
Wednesday 9:30-10:30 and Thursday
9:30-11:00 am, 3:00-3:30pm in 1049 Evans.
in Evans 868
- Amit Khetan, akhetan@math, office hours:
Mondays 10-11, Wednesdays 1-2, Fridays 2-3, in Evans 737
- Peter Kollner, kollner@math, office hours: Thursdays 10-11 and 5-6
in Evans 824
- Marco Rainaldi, rainaldi@uclink4.berkeley.edu,
office hours: Tuesday 2-4pm in 860 Evans

**Text book:** L.J. Goldstein, D.C. Lay, and D.I. Schneider,
* Calculus and its Applications *, 9th edition,
Prentice Hall, 2001. We will cover Chapters 7-12.

** Quizzes: **
Five quizzes will be given during the main lecture.
These will occur on randomly selected dates.
There will be no make-up quizzes.

** Midterms: **
Midterm 1 is held in class on Monday, September 24,
and covers Chapter 7-8 of the text book. Midterm 2 is held in
class on Monday, October 29, and covers Chapter 7-10 of the text book.
A review session is held on Friday before each midterm.
No books, notes, calculators, scratch paper or collaboration are
permitted at any exam. Student photo ID and a blue-covered
exam booklet are required at the midterms and final exam.
No make-up midterms will be given; instead, missing midterm scores
will be overridden by the final exam score.

Click here for
Midterm 1,
solutions to Midterm 1,
Midterm 2, and
solutions to Midterm 2.

** Final Exam: **
The final exam will be held from 12:30 to 3:30pm on
Wednesday, December 12, in the Wheeler Auditorium,
and will cover the material from the entire course.
There will be no make-up final exams. If you are
unable to attend the final exam due to documented
and unexpected circumstances beyond your control,
and you have a C average on the previous
coursework, an imcomplete may be assigned.

Click here for
Final Exam,
solutions to the Final Exam.

Here is a sample final exam prepared by
Amit Khetan .
He will discuss this exam in his ** review session **
on Sunday, December 11, 4-6pm.

** Grading: **
Quizzes 5 %,
Homework 10 %,
Midterms 25 % each,
Final 35 %.
The final exam score will override any lower
midterm score. This means that, a posteriori,
your final exam may count as 60 % or 85 % instead of 35 %.

**Homework:** About ten problems covering the lecture material
of each week will be due at the beginning of your section on Thursday
of the following week. No late homework can be accepted, as solution
will be posted shortly after the due date.

Here are the assigned homework problems. Click on the due date
(any time after that date) to see the solutions. The reader will
grade two problems per homework set. The two problems which will
be graded are marked by bold face.

** Homework # 1 (due
September 6): **
p 372 # 8,
p 372 # 9,
p 373 # 21,
p 373 # 22,
p 381 # 9,
** p 381 # 17 **,
p 381 # 24,
p 382 # 26,
** p 382 # 31 **,
p 383 # 38.

** Homework # 2 (due
September 13): **
p 390 # 7,
p 390 # 12,
p 390 # 23,
p 390 # 26,
** p 390 # 29 **,
p 399 # 4,
p 399 # 7,
p 399 # 9,
** p 400 # 11 **,
p 400 # 15,
p 401 # 24.

** Homework # 3 (due
September 20): **
p 407 # 7,
p 407 # 10,
** p 407 # 13 **,
p 426 # 1,
p 426 # 4,
p 426 # 9,
** p 426 # 14 **,
p 427 # 14,
p 427 # 26,
p 434 # 17.

** Homework # 2 (due
September 27): **
p 440 # 3,
p 440 # 4,
** p 440 # 9 **,
p 441 # 40,
p 450 # 14 ,
p 450 # 27 ,
p 450 # 39 ,
p 456 # 11,
p 457 # 11,
** p 458 # 47 **.

** Homework # 5 (due
October 4): **
p 466 # 2,
p 466 # 3,
p 466 # 6,
p 466 # 13,
** p 466 # 29 **,
p 467 # 41,
p 471 # 2,
p 471 # 3,
** p 471 # 8 **,
p 471 # 22,
p 471 # 23,
p 471 # 38.

** Homework # 6 (due
October 11): **
p 475, # 10,
p 476, # 13,
** p 476, # 17 **,
p 484, # 13,
p 485, # 25,
p 486, # 33,
p 492, # 2,
p 492, # 7,
** p 498, # 22 **,
p 498, # 24.

** Homework # 7 (due
October 18): **
p 508, # 3,
p 508, # 6,
p 508, # 10,
** p 508, # 15 **,
p 509, # 19,
p 516, # 8,
p 516, # 10,
p 516, # 13,
** p 516, # 17 **,
p 516, # 26,
p 516, # 31,
p 517, # 34.

** Homework # 8 (due
October 25): **
p 523, # 2,
p 523, # 3,
p 523, # 7,
p 523, # 11,
** p 524, # 12 **,
** p 532, # 5 **,
p 532, # 9,
p 533, # 11,
p 534, # 24,
p 534, # 31.

** Homework # 9 (due
November 1): **
p 543, # 2,
p 543, # 6,
** p 543, # 11**,
p 544, # 19,
p 555, # 2,
** p 555, # 6**,
p 555, # 8,

** Homework # 10 (due
November 8): **
p 555 # 28,
** p 563 # 4 **,
p 563 # 16,
p 573 # 6,
p 573 # 16,
p 573 # 23,
p 573 # 27,
p 574 # 39,
** p 574 # 40 **.

** Homework # 11 (due
November 15): **
** p 574 # 41 **,
p 579 # 5,
p 579 # 6,
p 580 # 9,
p 580 # 16,
p 580 # 22,
p 580 # 27,
p 580 # 28,
** p 580 # 31 **,
p 587 # 1,
p 587 # 2.

** Homework # 12 (due
November 29 ): **
p 587 # 12,
p 587 # 28,
p 587 # 32,
p 587 # 37,
p 588 # 40,
p 588 # 45,
p 599 # 4,
p 599 # 5,
p 599 # 7,
** p 599 # 9 **,
p 608 # 4,
** p 608 # 11 **,
p 608 # 13,
p 608 # 18.

** Homework # 13 (due
December 6): **
p 609 # 38,
p 614 # 6,
p 614 # 9,
p 614 # 12,
** p 615 # 17 **,
p 615 # 22,
p 624 # 3,
p 624 # 7,
p 624 # 8,
p 624 # 14,
p 624 # 21,
** p 624 # 22 **,
p 624 # 25.

### Course Outline:

** September 5, 7: ** 7.3. Maxima and Minima, 7.4 Langrange Multipliers
and Constrained Optimization

** September 10,12,14: **
7.5. Least Squares,
7.7. Double Integrals

** September 17,19,21: **
8.1 Radian Measure,
8.2-8.4 Sine, Cosine and Tangent,
Review

** September 26,28: **
9.1. Integration by Substitution,
9.2. Integration by Parts

** October 1,3,5: **
9.3-9.4. Evaluation and Approximation of Definite Integrals
9.5. Applications of Integrals, 9.6. Improper Integrals

** October 8,10,12: **
10.1. Differential Equations,
10.2. Separation of Variables

** October 15,17,19: **
10.3-10.4. Numerical Solutions and Graphical Solutions to Differential Equations

** October 22,24,26: **
10.5. Applications of Differential Equations,
Review

** October 31, November 2: **
11.1. Taylor Polynomials,
11.2. The Newton-Raphson Algorithm,

** November 5,7,9: **
11.3. Inifite Series,
11.4. Series with Positive Terms

** November 14,16: **
11.5. Taylor Series
12.1. Discrete Random Variables

** November 19,21: **
12.2. Continuous Random Variables,

** November 26,28,30: **
12.3. Expected Value and Variance,
12.4. Exponential and Normal Random Variables

** December 3,5,7: **
12.5. Poission and Normal Random Variables,
Review