**LECTURER:** Don Sarason

**OFFICE:** 779 Evans Hall

**OFFICE PHONE:** 642-3521

**OFFICE HOURS:** M 9:30-11:30am, Th 10:00am-12:00pm, or by appointment

**E-MAIL:** In a large lecture course such as Math 16B, it is not possible to
respond to email inquiries from individual students. If you need to
communicate with Mr. Sarason about the course, see him after lecture,
come to his office (preferably during office hours or by appointment),
or use the phone. Except in dire emergencies, email messages will not
be answered.

**TEXTBOOK:** *Calculus & Its Applications*, Tenth Edition,
Goldstein-Lay-Schneider, Pearson Education, Inc., 2004. The book is available both as
a single volume, which contains the material for both Math 16A and Math 16B,
or as two half-volumes, one with the 16A material (Chapters 0-6), one with
the Math 16B material (Chapters 7-12).

**PREREQUISITES:** The only formal prerequisite is Math 16A or the equivalent.
In practice, however, you will be at a disadvantage if you lack a reasonably
good mastery of basic algebra. If your algebra is rusty, or if your earlier
calculus course was not taken recently, you had best review the relevant
material early in the semester. If you are not confident about your mastery
of the 16A material, you may want to purchase the long version of the
textbook.

**EXAMS:** There will be midterm exams in lecture on Wednesday, September 28,
on Chapter 7, and on Wednesday, November 9, on Chapters 8-10. The final exam
is scheduled for Wednesday, December 14, 8:00-11:00 a.m.(Exam Group 4). Do not
enroll in the course if you have a conflict; there will be no make-up exams.

**GRADING SYSTEM:** There are two grading options. The one yielding the
higher grade will be applied on an individual basis.

Option 1: Section 20%, each midterm 20%, final 40%

Option 2: Section 20%, higher midterm 20%, final 60%

The section grade will be based on homework and quizzes.

Grade points will be assigned for each exam and for section. Their weighted average will be converted to a letter grade according to the following table.

GRADE POINTS -----------> LETTER GRADE | |
---|---|

[4.15, infinity) | A+ |

[3.75, 4.15) | A |

[3.50, 3.75) | A- |

[3.25, 3.50) | B+ |

[2.75, 3.25) | B |

[2.50, 2.75) | B- |

[2.25, 2.50) | C+ |

[1.75, 2.25) | C |

[1.50, 1.75) | C- |

[1.25, 1.50) | D+ |

[0.75, 1.25) | D |

[0.50, 0.75) | D- |

[0.00, 0.50) | F |

**INCOMPLETE GRADES:** According to University regulations, you may receive
an I grade only if "your work in a course has been of passing quality but
is incomplete for reasons beyond your control."

**HOMEWORK:** Homework will be due in section each Tuesday, except for the
first week of the semester and the weeks of the midterm exams. Late papers
will not be accepted. (Your GSI will define what "late" means.)

Unfortunately, the Math Department, for budgetary reasons, is unable to hire readers to grade homework. Your GSI, however, will look over your homework carefully enough to determine whether you have made a serious effort at doing the exercises. Homework will count for 50% of the section grade.

**LECTURES:** The lectures will follow the textbook but not parrot it. Their
purpose is to introduce and illustrate the main ideas. There is too much
material in the course for the lectures to cover everything, so, even if
you attend the lectures, expect to depend on the textbook for much of what
you learn. You will follow the lectures better if you go over the relevant
parts of the textbook beforehand.

**SYMBOL CRUNCHING:** Calculus, as you have experienced, involves a good
dose of symbolism. It is important that you acquire a facility with the
various algebraic manipulations that come up (adding fractions, differentiating
products and quotients, applying the chain rule, and the like). That is done
through practice. It is important, also, to remember that reliance on symbols
is designed to aid thought, not to eliminate it. When symbol crunching, do not
lose sight of what the symbols mean. This will help you to avoid silly
errors leading to absurd conclusions.

**A PLEA:** I hope you will not approach Math 16B as a cookbook course where
the goal is to memorize recipes for problem solving. Math may be hard to
understand, but, with effort, you will be able to gain understanding. If
you can grasp the basic ideas behind the jungle of symbolism, the need for
mindless memorization will be greatly reduced; you will have internalized
a context that will enhance retention.

(Numbers refer to textbook sections.)

M | W | F | |

WEEK | |||

1 | 7.1 | 7.2 | 7.2, 7.3 |

2 | Holiday | 7.3 | 7.4 |

3 | 7.4, 7.5 | 7.5, 7.6 | 7.6, 7.7 |

4 | 7.7 | 8.1 | 8.2 |

5 | Review | Midterm | 8.3 |

(Chap. 7) | |||

6 | 8.4 | 9.1 | 9.2, 9.3 |

7 | 9.3, 9.4 | 9.5 | 9.6 |

8 | 10.1 | 10.1, 10.2 | 10.2, 10.3 |

9 | 10.3, 10.4 | 10.4 | 10.5-10.7 |

10 | 11.1 | 11.1, 11.2 | 11.2 |

11 | Review | Midterm | Holiday |

(Chaps. 8-10) | |||

12 | 11.3 | 11.3, 11.4 | 11.4, 11.5 |

13 | 11.5 | 12.1 | Holiday |

14 | 12.2 | 12.3 | 12.4 |

15 | 12.4, 12.5 | 12.5 | Review |

Course evaluation |

The purpose of the homework is to test your understanding of the course material. You should study the relevant parts of the textbook BEFORE attempting the homework exercises. Mr. Sarason and your GSI will be happy provide guidance on how to attack homework exercises.

The exercises not in brackets are to be turned in in section on the due date. Some of the assignments are quite long. You will not want to wait until the night before they are due to start them.

The exercises in brackets are suggested as additional practice. Doing them will help you to solidify your understanding of the material.

Assignment 1 | Sec. 7.1, Ex. [1], 2, [7], 8, 12, [13], 16, [23-26] |

Due 9/6 | Sec. 7.2, Ex. [1], 2, 5, 6, 17 |

Assignment 2 | Sec. 7.2, Ex. 23, [25], 26, [31] |

Due 9/13 | Sec. 7.3, Ex. [1], 2, [7], 8, 11, 12, [16], 23, [24], [30], 31 |

Assignment 3 | Sec. 7.4, Ex. [1], 2, 5, 6, 8, 10, [13], 14, 21, [23] |

Due 9/20 | Sec. 7.5, Ex. 9, [10], [11] |

Sec. 7.7, Ex. [1], 2, [7], 8, 11, 12, [13], 14 | |

Assignment 4 | Sec. 8.1, Ex. [1], 2, 5, 8, [13], 18 |

Due 10/4 | Sec. 8.2, Ex. [1], 2, [5], 6, 11, [12], 21, 22, [37], 38 |

Sec. 8.3, Ex. [1], 4, 11, 12, [24], 28, 35, [36], 39, 40 | |

Assignment 5 | Sec. 8.4, Ex. 3, [4], [10], [11], 12, [18], 27, 31, 32, [37], 39 |

Due 10/11 | Sec. 9.1, Ex. [1], 2, 3, 6, [14], 29, 30, [31], 47 |

Sec. 9.2, Ex. [1], 2, [7], 8, 15, [16], 23, 24, [30], [32] | |

Assignment 6 | Sec. 9.3, Ex. [1], 2, [4], 5, 12, [19] |

Due 10/18 | Sec. 9.4, Ex. 5, [6], [19], [25], 26, 27 |

Sec. 9.5, Ex. [1], 2, [7], 8, 12 | |

Assignment 7 | Sec. 9.6, Ex. [16], 17, [28], 29, 35, [36], 48 |

Due 10/25 | Sec. 10.1, Ex. [1], 2, [9], [10], 11, [12], [13], 14, 15, [21] |

Sec. 10.2, Ex. [1], 2, 9, [14], [25], 26, [31], 35 | |

Assignment 8 | Sec. 10.3, Ex. 11, [12], [19], 21, 22, [26], [31], 33, 34, 40 |

Due 11/1 | Sec. 10.4, Ex. 5, 6, [7], 8, 9, [13] |

Sec. 10.6, Ex. [1], 5, 9, [25] | |

Assignment 9 | Sec. 11.1, Ex. 5, 6, [8], 10, [14], 17, [19], 23 |

Due 11/15 | Sec. 11.2, Ex. [1], 5, 15, 16, [24] |

Assignment 10 | Sec. 11.3, Ex. [1], 3, 4, [8], 15, [16], 23, [25], 27, 29 |

Due 11/22 | Sec. 11.4, Ex. 9, 14 |

Sec. 11.5, Ex. [7], 15, 18, [22], 23, 24 | |

Assignment 11 | Sec. 12.1, Ex. [1], 2, 4, 5, [6], 9 |

Due 11/29 | Sec. 12.2, Ex. [1], 6, [7], 15, [19], 20, [25], 27, 28 |

Assignment 12 | Sec. 12.3, Ex. [1], 2, 9, 11, 14, [19] |

Due 12/6 | Sec. 12.4, Ex. [1], 5, 15, 23, 27 |

Sec. 12.5, Ex. [1], 2, 5, [7], 8, [13], 15 | |

- Supplementary Notes 1
- Supplementary Notes 1 - Figure 1.1
- Supplementary Notes 1 - Figure 1.2
- Supplementary Notes 2
- Supplementary Notes 3
- Supplementary Notes 3 - Figure 3.1
- Supplementary Notes 4
- Supplementary Notes 4 - Figure 4.1
- Supplementary Notes 5
- Supplementary Notes 6

DATE: | Wednesday, September 28 |

TIME: | 8:10-9:00 a.m. |

ROOM ASSIGNMENTS: | 277 Cory Hall: Jon Harel's students (Sections 101, 104, 105) |

10 Evans Hall: Everyone else |

FURTHER INFORMATION:

1. Bluebooks will not be needed. There will be space on the exam paper for answers.

2. Know your GSI's name.

3. Calculators will not be permitted.

4. The exam will be closed book except for a crib sheet of size 8-and-1/2- by-11 inches. Both sides of the sheet can be inscribed with the information of your choice.

5. Review exercises will be distributed in lecture and posted on Wednesday, September 21. Answers to the review exercises will be posted on Monday, September 26.

6. The lecture on September 26 will be a review session.

7. Bring your SID card to the exam.

The examination is scheduled for Wednesday, November 9, 8:10-9:00 a.m. It will cover the material in Chapters 8, 9, 10. Room assignments are the same as for Midterm 1: Jon Harel's students in 277 Cory Hall, the rest in 10 Evans Hall.

The basic ground rules are the same as for Midterm 1. In particular, bluebooks are not needed, calculators are not allowed, a crib sheet, size 8-and-1/2-by-11 inches, is permitted (both sides of the sheet may be used).

Review exercises will be distributed in lecture and posted on the webpage on Wednesday, November 2. Answers will be posted on Monday, November 7.

DATE: | Wednesday, December 14 |

TIME: | 8:00-11:00 a.m. |

PLACE: | 155 Dwinelle |

FURTHER INFORMATION:

1. Blue books will not be needed.

2. Scratch paper will be provided.

3. Calculators will not be permitted.

4. The exam will be closed book except for two crib sheets, size eight-and- one-half-by-eleven inches. Both sides of each sheet can be used.

5. Students should bring their SID cards to the exam.

6. Review exercises will be distributed in lecture and posted sometime during the week of November 28. Answers to the review exercises will be posted on Thursday, December 8. The review exercises give a good indication of what the exam will emphasize. (Some of the review exercises require a calculator. On the exam, all numerical calculations will be doable by hand.) You may also find it helpful, in preparing for the final, to look over the midterm exams and their review exercises.

7. The lecture on Friday, December 9, will be a review. It is hoped that at least part of the lecture on Wednesday, November 7, can also be devoted to a review.

8. Sarason will hold office hours on Monday, December 12 , and Tuesday, December 13, 10:00-12:00.

9. Graded final examinations can be inspected next semester in 779 Evans Hall. Final Examination solutions will be posted after the exam, either the same day or the following day.

10. Guard against losing points on the exam by silly errors in arithmetic and algebra. Take your time and check your work as you go along. Answer first the questions about which you are most confident.