Math 3B - Calculus with Applications II - Spring 2007

Instructor: Alex Dugas my homepage
Office: 6510 South Hall
Office Hours:  M 1:00 - 2:00, T 1:00 – 3:00, or by appointment

Prerequisites: Math 3A (with a grade of C or better) or AP credit.

Text: James Stewart Calculus.  Early Transcendentals Single Variable.  Fifth edition.

Lecture: T Th 9:30 - 10:45 am in 1006 North Hall.

Section: You must sign up for and attend a discussion section as well.  The section times and locations for this course are as follows: 


The GSI for this course is Ri-Xiang Chen.  His office hours are:


Announcements:

 

 

 

Course Timetable (subject to change)

 

    Date    

    Topics    

    Reading    

 Homework Due

 

Tu 4/3

Antiderivatives

Ch. 4.10


4/11, 11:00 pm

 

Th 4/5

Areas.  Right and Left Endpoint Approximations.

Ch. 5.1

 

Tu 4/10

Distances.  Riemann Sums.  Definite Integrals.

Ch. 5.2


4/18, 11:00 pm

 

 

Th 4/12

Properties of the Definite Integral.  Fundamental Theorem of Calculus, parts 1 & 2.

Ch. 5.3

 

Tu 4/17

Indefinite Integrals.  Net-Change Theorem.

Ch. 5.4

 


4/25, 11:00 pm

 

 

Th 4/19

Substitution.

Ch. 5.5

 

Tu 4/24

Integration by Parts.

 

Ch. 7.1
 

 5/2, 11:00pm

 

Th 4/26

First Midterm.

Ch. 4.10, 5.1-5.5

 

 

Tu 5/1

 Trig. Integrals and Trig. Substitution.

Ch. 7.2 
 (p. 482-4)
Ch. 7.3
 (p. 489-91)

 




5/9, 11:00pm

 

 

Th 5/3

 Integrating Rational Functions.  Long Division of Polynomials.  Partial Fractions.

Ch. 7.4
 (p. 496-8)

 

Tu 5/8

Partial Fractions (cont.), Rationalizing Substitutions.  Improper Integrals - Type I

Ch. 7.5
Ch. 7.8
 (p. 530-3)

 



5/16, 11:00pm

 

 

Th 5/10

 Improper Integrals - Type II.  Comparison Theorems.

Ch. 7.8
 (p. 534-7)

 

Tu 5/15

Review.  Integration Strategies.

Ch.  7.1-7.5, 7.8

 

 

Th 5/17

Second Midterm.

Ch. 7.1-7.5,  7.8

 

 

Tu 5/22

 Areas between curves.  Volumes by cross-sections.

Ch. 6.1-6.2

 

 5/31, 11:0pm

 

Th 5/24

 Volumes of Solids of Revolution.  Disks, Washers, Cylindrical Shells

Ch. 6.3

 

Tu 5/29

 Average Value of a Function.  Work.

Ch. 6.4, 6.5


 

 6/8, 11:00pm

 

Th 5/31

 Arc Length.  Surface Area of a Surface of Revolution.

Ch. 8.1, 8.2

 

Tu 6/5

 Surface Area (cont.).  Applications to Physics.

Ch. 8.2, 8.3 (p. 561-3)

 

Th 6/7

 

 Review.

 

 

 

Tu 6/12

Final Exam – 8:00 – 11:00 am

Ch. 4.10,  5.1-5.5,
6.1-6.5, 
7.1-7.5, 7.8,
8.1 - 8.3

 

 



Homework:  Homework exercises will be assigned every week to be completed online using WebWork.  Your username is your Perm number, and your password is also your Perm number, until you change it.  Typically, the assigments will be posted each Tuesday, and due the following Wednesday at 8:00 am, although you may submit your answers at any time before then.  The first problem set (set0) can be completed for practice using WebWork, but will not be counted.  Homeworks completed after the due date will be scored, but not counted, and your lowest homework score will be automatically dropped.  Please direct any questions you may have regarding the use of WebWork to your TA.  Each assignment also includes some reading in the text (see the table above).  It is vital that you do this reading in addition to the problems:  it will not only help you solve the homework problems correctly, but it may contain helpful information that was not covered in lecture.

 
Quizzes:  There will be a quiz during the first 10 minutes of lecture every Thursday (except for the days of the midterms).  A typical quiz will be one problem, very similar to one from the homework due the preceding day, and will be graded out of 3 points.  It is your responsibility to bring a blank sheet of paper and pen/pencil to class to take the quizzes.  You are not allowed to use any books, notes, calculators, etc.  There are no make-up quizzes, but your TWO lowest scores will only be counted for extra credit.

 

Exams: There will be two in-class midterm exams on Thursday April 26 and on Thursday May 17 from 9:30 to 10:45 am.  Please arrive promptly.  The final exam will be Tuesday June 12, 8:00 - 11:00 am.  The problems on the exams will closely resemble those on the homeworks.  No make-up exams will be given, except in extaordinary circumstances.  If you have a serious conflict with any of these exams or miss one for any reason, it is your responsibility to notify me immediately so that other arrangements may be made.

Grades:
  Grades will be computed from your scores on homeworks, quizzes and exams as follows: Homework = 10%, Quizzes = 15%, Each Midterm = 20%, Final = 35%.  No letter grades will be assigned until the end of the semester, and the exact grading scale will depend on the difficulty of the exams.  However, a 90% or above will guarantee you at least an A, an 80% will be at least a B, and 70% will be at least a C.