MATH 2411-003
ANALYTIC GEOMETRY AND CALCULUS II

Text: Larson, Hostetler, Edwards, "Calculus, Early Transcendental Functions", 2nd edition, Houghton Mifflin, 1999.

The Student's Solution Manual is highly recommended. There is a CD-ROM version of the text that includes additional animations for some of the concepts and the Student's Solution Manual. You may get either the actual book(s) or the CD-ROM but the CD-ROM is recommended.

Time and place: TR 10-11:45 SI 220
Instructor: Jan Mandel, jmandel@math.cudenver.edu
Office: CU Denver Building 640, 303-556-4475
Co-requisite: Students must register for one section of Math 1999.

This document is the class home page: http://www-math.cudenver.edu/~jmandel/classes/2411f00
Use this page to access the class notes file, which will be updated to contain the homework assignments, selected solutions, and important accouncements such as class cancellations or office hours changes.
 


OFFICE HOURS

Students are welcome in the office hours of any of the instructors of Calculus II sections.

Instructor Days Time Location
Jan Mandel TU TR 12:00-1:30pm CU 640
Roxanne Byrne MO WE 3:00-4:00pm SI 130
Roxanne Byrne TU 1:00-2:00pm CU 636
Tony Russo MO WE 4:30-5:30pm SI 130
Tessa Weinstein MO WE 10:00-11:45am SI 130


HOW TO STUDY

Expect this class to be one of the harder classes you take. To do well and use your limited time efficiently, keep the following in mind:


GRAPHING UTILITY AND THE MATH LAB SI 130

You need a graphing utility that will graph functions, solve for zeroes of functions and evaluate functions. Any good graphing calculator will do this. You are encouraged to use Derive in the Math Lab SI 130. You must register for a section of Math 1999.  This will guarantee you two hours access to computers that have Derive and other software on them. You can use a graphing calculator or Derive on your own computer, but you still must register for Math 1999. There are TA's in the computer lab to help you use the programs, and handouts with tutorials. The TAs can answer questions about Math if they are not too busy. The Math Lab is also a favorite meeting place for study groups.


  HOMEWORKS, EXAMS, AND QUIZZES

There will be a homework most Tuesdays, always due at the beginning of the class the following Tuesday. I cannot be responsible for homeworks delivered in another way, such as left in my box - they get misplaced too easily and cause problems with grading when they do not go with the pile. The homeworks will touch on most of the material but, for practical reasons, cannot cover every variant of every example or procedure. If the statement of a homework problem says "use technology" or "use graphing utility", that homework problem must be turned in as a computer printout. All other problems must be done by hand and detailed work must be shown.

There will be a midterm and a Uniform Final exam. The department requires that to receive  credit for the class, you must be present at the Uniform Final.  An alternate date for the Uniform Final may be arranged for reasons beyond your control, such as illness. A wedding, a business trip, nonrefundable airplate tickets, or a shift at work are not a sufficient reason - the date of the Uniform Final is known ahead of time, so please plan accordingly. There will be a simple multiple choice quiz at the end of the class most Thursdays.

The exams and quizzes are closed book, no calculators or laptops, and no notes except one 3" by 5" index card, where you can write anything you want.

There is no credit for late homeworks or missed exams and quizzes, but the grading formula leaves some space so you can get the full number of points even if you miss something.
 


CLASS PARTICIPATION

During most of the classes, I will call one or two students from the class list to the blackboard to solve simple problems. A student who is called and absent will receive one more chance later, but none after that. Each student is expected to be called to the blackboard once a semester.
 


GRADING

Every homework and midterm problem is graded on the scale 0 to 4: 4=OK, 3=some error, 2=significant progress, 1=some progress, 0=no progress, misunderstood problem, or wrong problem. The Uniform Final is graded separately by the department.

Your final score will be computed as

            1/3 (A + B + C + D - min(A, B, C, D) ) + 3 E

where

            A = total number of points from homeworks scaled between 0 and 100
            B = total number of points from quizzes scaled between 0 and 100
            C = midterm score scaled  between 0 and 100
            D = Uniform Final score scaled between 0 and 100
            E = class participation - one point for a successful presentation

Letter grades: A>=80, B>=60, C>=40, D>=20.

Incomplete grade can be given only in exceptional cases to a student who makes satisfactory progress but cannot finish the semester. A student who misses the Uniform Final and otherwise does well will receive an Incomplete grade.


HOW TO GET HELP

Go to the Math Lab SI 130, chances are you will find someone - another student or a TA - to talk to. Come to office hours. Ask your study group, and if you cannot resolve the issue, send someone from the group to office hours. Send me email.

Another good source of examples that is often overlooked is the public library. There are usually many Calculus texts on the shelves. Find them and read the examples from the appropriate sections. Five different Calculus books will probably yield five or more different worked examples over each topic.

The Center for Learning Assistance provides free tutors. Go to NC-2006 early in the semester to apply.
 

IMPORTANT NOTICE

To ensure good learning evironment, lease turn off cell phones and do not eat in my class (drinks are OK). Owners of ringing phones will be asked to leave, and students who leave the class to answer the phone will not be allowed to return.
 
 







TENTATIVE SCHEDULE

WEEK SECTIONS TOPIC
1
8/21
6.1
6.2 - 6.3
AREA BETWEEN TWO CURVES
SOLIDS OF REVOLUTION
2
8/28
6.4
6.5
ARC LENGTH - SURFACE OF REVOLUTION
WORK
3
9/4
6.7
7.1
FLUID FORCES
FITTING INTEGRANDS TO BASIC FORMS
4
9/11
7.2
7.3
INTEGRATION BY PARTS
INTEGRALS INVOLVING TRIGONOMETRIC FUNCTIONS
5
9/18
7.4
7.5
TRIGONOMETRIC SUBSTITUTION
INTEGRATION USING PARTIAL FRACTIONS
6
9/25
7.7
7.8
LIMITS REVISITED
IMPROPER INTEGRALS
7
10/2
  REVIEW FOR MIDTERM
8
10/9
6.1-7.8 MIDTERM THURSDAY 10/12/2000
9
10/16
8.1-8.2
8.3-8.4
SEQUENCES AND SERIES
TESTS FOR CONVERGENCE - POSITIVE TERM SERIES
10
10/23
8.3-8.4
8.5
TESTS FOR CONVERGENCE - POSITIVE TERM SERIES
ALTERNATING SERIES
11
10/30
8.6
8.7 - 8.8
RATIO AND ROOT TESTS
TAYLOR POLYNOMIALS AND SERIES
12
11/6
8.9
8.10
POWER SERIES OF FUNCTIONS
TAYLOR SERIES AGAIN
13
11/13
9.1
9.2
CONICS
PARAMETRIC EQUATIONS
14
11/20
9.3 CALCULUS OF PARAMETRIC EQUATIONS
15
11/27
9.4
9.5
POLAR COORDINATES 
INTEGRATION IN POLAR COORDINATES
16
12/4
6.1-9.5 REVIEW FOR FINAL
UNIFORM FINAL ON SATURDAY 12/9/2000 FROM 9:00 TO NOON, PLAZA Building PL M204