Mathematics 16A, Fall 2005
Analytic Geometry and Calculus
Office hours:
Wednesdays and Thursdays 10:0011:00am
Office location and phone: 925 Evans Hall, 642 4687
email: bernd@math.berkeley.edu
Our class meets in 10 Evans on
Tuesday and Thursdays from 8:00am until 9:30am.
Participation in the class, even in this large lecture course,
is strongly encouraged.
Graduate Student Instructors:
 Gautam Borooah, gautam@math, office hours: Mon 1012
and Tue 12 in Evans 1020
 Yanfeng Chen, yfchen@math, office hours: Tue 11:30  12:30,
3:30  4:30 and Wed 9  10 in Evans 1087

Dennis Courtney, djc@math, office hours:
Mon 23:30 and Wed 12:302 in Evans 1075
 Pinhas Grossmann, pinhas@math, office hours:
Thu 10:3012 and Fri 1:303 in Evans 1041
Text book: L.J. Goldstein, D.C. Lay, and D.I. Schneider,
Calculus and its Applications , 10th edition,
Prentice Hall.
We will cover Chapters 06.
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 %.
Quizzes:
Five quizzes will be given during the main lecture.
These will occur on randomly selected dates. You may use
your book and your notes during a quiz.
There will be no makeup quizzes. Don't worry about missing
a lecture that has a quiz:
a perfect score on all homeworks and exams (i.e. 95 % in total)
will suffice to get the course grade A+.
Midterms:
Midterm 1 is held in class on Thursday, September 29
and covers material of the text book
through Section 2.2. Midterm 2 is held in
class on Tuesday, November 8, and covers Chapter 2, 3 and 4 of the text book.
A brief review session is held during the class prior to each midterm.
No books, notes, calculators, scratch paper or collaboration are
permitted at any exam. Student photo ID and a bluecovered
exam booklet are required at the midterms and final exam.
No makeup midterms will be given; instead, missing midterm scores
will be overridden by the final exam score.
Click on the following links to retrieve (in pdf):
Midterm 1,
Solutions to Midterm 1,
Midterm 2,
Solutions to Midterm 2.
Final Exam:
The final exam will be held from 12:30 to 3:30 on
Friday, December 16, in 100 Haas Pavillion.
and will cover the material from the entire course.
There will be no makeup final exam. 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 incomplete may be assigned.
Click on the following links to retrieve (in pdf):
Final Exam ,
Solution to Final Exam.
Homework: A range of problems covering the lecture material
of each week is due on Tuesday of the following week. Please
hand your homework to your GSI.
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. Your GSI will
grade two problems per homework set carefully, and he will
spotcheck the others. The problems which will
be graded more carefully are marked by an asterisk.
Homework # 1 (due
September 6):
0.1: 19,42,50;
0.2: 7,16,17,29;
0.3: 9,34*,37;
0.4: 3,19,29,40*;
0.5: 11,37,50,93;
0.6: 13,19,20,39.
Homework # 2 (due
September 13):
1.1: 6,12,24,30,40,58;
1.2: 2,3,8,14,15,16,17,18,25;
1.3: 14*,18,28,42,48*,54.
Homework # 3 (due
September 20):
1.4: 12,14,33,40,54,55,58;
1.6: 14,17,40,43*,48,53;
1.7: 9,15,25,30,32;
1.8: 3,5,8,12*,13,21.
Homework # 4 (due
September 27):
2.1: 5,6,11,15,28,29,33,37,41,43;
2.2: 3,8,15,21,24,26,31,34*,40*.
Homework # 5 (due
October 11):
2.3: 12,18,24,26,36;
2.4: 4,8,12,22,29,30,32;
2.5: 10,12,16,20,24;
2.6: 4,8,24,26,27.
Homework # 6 (due
October 18):
2.7: 2,6,9,12*,14,22;
3.1: 2,6,12,18,32*,38,44,52,54,66;
3.2: 4,10,16,20.
Homework # 7 (due
October 25):
3.2: 28,34,42,46,49,54,61*,62;
3.3: 6,14,22,26,34,38,42,46;
4.1: 2,4*.
Homework # 8 (due
November 1):
4.1: 24, 30 ;
4.2: 10, 24, 28*, 30, 32 ;
4.3: 12, 20, 33,34, 36, 44 ;
4.4: 10, 14,18,30,36,40*.
Homework # 9 (due
November 15):
5.1: 2, 6, 12, 20*, 26;
5.2: 2, 8, 10*, 12, 24, 25, 26.
Homework # 10 (due
November 22):
5.3: 2, 10, 14, 18, 20, 24;
5.4: 2, 4, 6, 8, 9, 12;
Suppl.Ex.(Chap 5): 2, 23.
Homework # 11 (due
November 29):
6.1: 2, 10, 12, 16*, 20, 24, 26, 34, 36, 39, 43, 44*,
46, 48, 50, 54.
Homework # 12 (due
December 6): 6.2: 8,12,16,20,22,26,28;
6.3: 2,6,12,14,26*,38,40,45;
6.4: 2,6,22,28*.
Course Outline:
August 30,
September 1: Chapter 0: Functions
September 6, 8:
1.11.2. Slope of Line and a Curve, 1.3. The Derivative
September 13, 15: 1.4, 1.6, 1.7, 1.8. More on Derivatives
September 20, 22: 2.1. Graphs of Functions, 2.2. First and
Second Derivative Rules,
September 27, 29: Review, First Midterm
October 4,6: 2.3, 2.4. Curve Sketching,
2.5, 2.6, Optimization Problems,
October 11, 13: 2.7
Applications to Business and Economics, 3.1. Product and Quotient Rules,
October 18, 20: 3.2. Chain Rule, Power Rule, 3.3. Implicit Differentiation
October 25, 27:
4.1, 4.2, 4.3. Exponential Function,
4.4. Natural Logarithm
November 1, 3: 4.5, 4.6. Derivative and Other Properties, Review
November 8, 10: Second Midterm,
5.1. Exponential Growth and Decay,
5.2. Compound Interest,
November 15, 17: 5.3. Natural Logarithm in Economics,
5.4 Further Exponential Models
November 22: 6.1. Antidifferentiation
November 29, December 1: 6.2 Areas and Riemann Sums,
6.3 Definite Integrals 6.4, Areas in the Plane
December 6, 8: 6.5 Applications of the Definite Integral, Review.