MATH 9B – First Year Calculus

Fall 2007

 

 

Professor: Dr. Janet Vassilev
Office: Surge 233
  Office Hours:  M 10-11 am, W 12-1 pm, F 9-10 am and by appointment.

email: jvassil@ucr.edu

webpage: http://math.ucr.edu/~jvassil

Text :  Calculus, (11th Edition), Thomas, Weir, Hass and Giordano. Read it! We will cover chapters 5-7 and most of chapter 8.

Course Meetings:  The course lectures will be held in Bourns A125 on Monday, Wednesday and Friday from 1:10-2:00 pm.  Discussion sessions will be held on Thursday with Sam Chamberlin (7:40 PM), Mandev Gill (3:10 PM or 7:10 AM) or Robert Perry (8:10 PM).  You are expected to attend both the lectures and the discussion sessions as per Math Department decree. 

Tips for Success: * Come to class!  It is amazing how much you can learn by being attentive in class.  * Collaborative learning is encouraged but remember that only YOU will be taking the quizzes and exams... * Like all mathematics, calculus is not a spectator sport; you will learn only by doing!  You will find that a consistent effort will be rewarded. * Be organized.   Have a notebook or binder for Calculus alone to keep your class notes, homework, quizzes and exams in order.  * No question you have should be left unanswered.  Ask your questions in class, discussion session or take advantage of office hours.

Homework and Quizzes (100 points):  Homework will be assigned daily and the starred problems will be collected during the next week’s discussion session.  No late homework will be accepted.  Homework will not be graded unless it is written in order and labeled appropriately.    An answer alone will get 0 points.  Make sure to justify every answer.  Not all homework problems will be graded; a few will be chosen and each assignment will be graded out of a total of 10 points.  There will occasionally be a 10 point quiz (1-2 problems similar to the homework) either during discussion session or lecture to assure that you have mastered the material from any of the previous lectures.  Do not avoid word problems because they will appear regularly on quizzes and tests.  Your lowest homework or quiz will be dropped and the remaining homework and quizzes will be averaged to get a score out of 100.

Exams (300 points):  I will give one midterm (100 points) and a final (200 points). An ID will be required to take all exams.  There are no make up exams. If a test is missed, notify me as soon as possible on the day of the exam. For the midterms only, if you have a legitimate and documented excuse, your grade will be recalculated without that test.  The midterm is tentatively scheduled Monday, November 5.  The Final is on Tuesday, December 10, from 3-6 pm.

Grades:  General guidelines for letter grades (subject to change; but they won't get any more strict):

98-100% - A+; 92-97% - A;  90-91% - A-;

88-89% - B+; 82-87% - B;  80-81% - B-;

78-79% - C+; 72-77% - C;  70-71% - C-;

68-69% - D+; 62-67% - D;  60-61% - D-;

below 60% - F.

In assigning Final Grades for the course, I will compare your grade on all course work including the final and your grade on the Final Exam.  You will receive the better of the two grades.

Calculator Policy:  It is the Math Department’s policy to forbid the use of calculators on both exams and quizzes.

Tentative Schedule (for Dr. Vassilev’s Calculus 9B):

Date

Section

Topic

Homework

9/28

 5.1

Riemann Sums

5.1 1-11 odd, *2, *8, *12

10/1

5.2

Sigma notation and Riemann sums

5.1 15, *16 and 5.2 1-5 odd, 11-15 odd, *2, *12

10/3

5.3

The Definite Integral

5.2 29-37 odd, *32, *36, 5.3 1-7 odd, *2, *6

10/5

5.3

The Definite Integral continued

5.3 1-13 odd, 39-49 odd, 55, *10, *44, *60

10/8

5.4

The Fundamental Theorem of Calculus

5.4 1-17 odd, 27-33 odd, *8, *14, *28

10/10

5.4/5.6

Area between curves

 5.4 37-41 odd, 59, *40, 5.6 31-47 odd, *34, *42

10/12

5.5/5.6

Indefinite Integrals/Substitution 

5.5 19-37 odd, *22, 5.6 1-15 odd, *8, *14, *26

10/15

6.1

Volumes by slicing

6.1 1(b,d), 13-21 odd, 31-37 odd, 45, 47, *2b, *18, *46

10/17

6.2

Volumes by shells

6.2 1-11 odd, 17, 21, 27-31 odd, *6, *10, *28

10/19

6.3

Lengths of curves

6.3 1-15 odd, *2, *8, *12

10/22

6.4

Moments and Center of Mass

 6.4 5, 9, 13-21 odd, 25, *18, *20, *26

10/24

6.5

Surface Area

6.5 3a-7a odd, 13, 17, 19, *4a, *14, *18

10/26

6.6

Work

6.6 1-5 odd, 15, 19, 21, *2, *4, *16

10/29

6.6

Work

6.6 7, 9, 23, 35, *20, *36

10/31

6.7

Fluid Pressure

6.7 1, 5, 9, 13, *2, *10

11/2

 

Review

 

11/5

 

Midterm

 

11/7

7.1-7.2

Inverse Functions

7.1 1-9 odd, 13-27 odd, 31, *2, *22, *32

7.2 1, 5, 13, 15, 21, 23, 31, 39, 45, 49, 55, 65, *26, *38, *48, *58

11/9

7.3-7.4

Exponential Functions

7.3 1, 7, 11, 17,-35 odd, 37, 51, 53, 63, *26, *44

7.4 1, 5, 11-25 odd, 39-45 odd, 47-51 odd, *22, *42, *48

11/14

7.5

Exponential Growth and Decay

7.5 3, 5, 6, 11, 13, 17, 21, 23, *6, *18, *22

11/16

7.6

Relative Rates of Growth

 

11/19

7.7-7.8

Inverse Trig Functions/Hyperbolic Functions

7.6 1, 3, 5, 9, *10

7.7 49-61 odd,  75-89 odd, *62, *94

7.8 13-23 odd, 41, 43, *14

11/21

8.1

Integration Tricks

8.1 11, 17, 23, 29, 31, 37, 39, 47, 49, 53, 57, 61, 63, 67, 71, *40, *54, *68

11/26

8.2

Integration by Parts

8.2 1-23 odd, *4, *16, *22

11/28

8.3

Partial Fractions

8.3 1, 5, 9, 13, 19, 21, 23, 29, 33, 35, 41, *12, *22, *34

11/30

8.4

Trig Integrals

8.4 1-13 odd, 33-37 odd, *8, *12, *34

12/3

8.5

Trig Substitution

8.4 23-31, *26, *30

8.5 5, 7, 17, 19, 23, 27, *18, *20

12/5

8.6

Integral Tables

8.5 1, 9, 11, 13, 15, 25, *10, *16, *26

12/7

Review

 

 

12/10

Final