MA224 Introductory Analysis II, Spring 2012

Instructor: Yongheng Zhang
Section 022, 09:30-10:20, MWF, UNIV 003
Section 032, 10:30-11:20, MWF, UNIV 003

Course Description

This is a second course in calculus for management and economics majors. Topics include integration, multivariable calculus, differential equations, infinite series and continuous probability.

Office Hour

11:30-12:30 Monday, MATH645

Common Office Hour

11:30-12:30 Wednesday, MATH205
Indeed, you can find a helper anytime 10:30a.m.-4:30p.m. in MA205. Click HERE for a schedule

Where to Find Additional Help

TauBetaPi Engineering Honor Society
- When: Monday through Thursday, 9:30a.m. - 3:30p.m.
- Where: Potter Engineering Library (Just look right)
Women in Engineering and Women in Science
- When: Sunday-Thusday,7:00p.m.-9:00p.m.(8:00p.m.-10:00p.m.on Tuesdays)
- Where: Earhart Conference Room

Textbook

There are 3 copies in total on reserve at the libraries (Hicks or MATH). You can check it out for 2 hours each time. Click HERE to see wether they are available now (simply select the course title MA224 in the scroll down manu and leave the instructor and department blank).

Calculator Policy

Only one-line calculators are allowed. For details, see HERE

MA22400 Webpage

This is the common webpage for all the 1000+ students in MA22400 this semester at Purdue. You can find your Exam 2 and Final exam scores and all the detailed information THERE.

Class Calendar

Refresh your browser often

Week1
- Monday, January 9
  - Class logistics: Syllabus
  - Preview of the topics covered in this class
  - Reading assignment: Contents iv - vi
- Wednesday, January 11
  - Topic: {antiderivatives}=the inDEFINITE integral
  - Reading assignment: p371-377
  - Problems done by hand: p381, 1,3,6,7,10,12,21 Answers
- Friday, January 13
  - Topic: applied initial value problems
  - Reading assignment: p378-381
  - Problems done by hand: p382, 31,32,33,38,39,42,43,48,51 Answers
  - Last day for late registration. Want to change sections starting from next week? Click HERE to see how.

Week2
- Monday, January 16
  - Martin Luther King. Jr. Day: No Class
- Wednesday, January 18
  - Topic: integration by substitution
  - Reading assignment: p385-393, especially the four guidelines for choosing u(x) on p387
  - Problems done by hand: p394, 3,6,9,12,13,15,16,39,43,52 Answers
  - Instruction on how to use MathZone
- Friday, January 20
  - Topic: more integration by substitution
  - read again the pages assigned on Wednesday if you are stuck on homework
  - Quiz #1: Solution; Common Errors

Week3
- Monday, January 23
  - Last day to cancel a course assignment without it appearing on record
  - Topic: the DEFINITE integral
  - Reading assignment
    - p402-404: The Fundamental Theorem of Calculus
    - p406-407: Substitution in a Definite Integral
- Wednesday, January 25
  - Topic: more about definite integral
  - Reading assignment
    - p397-401: The Geometric Meaning of the Definite Integral
    - p404-405: Integration Rules
    - p408: Word Problem: Net Change
- Friday, January 27
  - Topic: area between two curves
  - Reading assignment: p415-419
  - Quiz #2: Solution; Common Errors

Week4
- Monday, January 30
  - Topic: average value
  - Reading assignment: p423-p247
- Wednesday, Feburary 1
  - Topic: definite integral applied in business and econoimcs
  - Reading assignment:
    - Consumer Willingness to Spend: p437-438
    - Consumers' and Producers' Surplus: p439-441
- Friday, Feburary 3
  - Review for Exam I
  - Study Guide for Exam I
  - Quiz #3
    - Problem 1: The average value of f(x)
    - Problem 2: Consumer's and producer's surplus at equilibrium
    - Solution; Common Errors

Week5
- Monday, Feburary 6
  - Exam 1: In class
    - Solution
  - Last day to cancel a course assignment without a grade
- Wednesday, Feburary 8
  - Exam 1 review
  - Topic: integration by parts
  - Reading assignment: p476-479
- Friday, Feburary 10
  - Topic: integration by parts (continued)
  - Reading assignment: p479-482
  - Quiz #4
    - Problem 1: \(\int xe^x dx\)
    - Problem 2: \(\int x\ln x dx\)
    - Solution; Common Errors

Week6
- Monday, Feburary 13
  - Topic: improper integral
  - Two important limits
  - Reading assignment: p490-493
- Wednesday, Feburary 15
  - Topic: numerical integration
  - Reading assignment: p498-500
- Friday, Feburary 17
  - Topic: functions of several variables
  - Reading assignment: p526-527, 530-533
  - Problems done by hand: p536: 23, 24, 25, 27 (solutions are found in the last pages of the text)
  - Quiz #5
    - Problem 1: improper integral
    - Problem 2: numerical integration
    - Solution; Common Errors

Week7
- Monday, Feburary 20
  - Topic: first- and second-order partial derivatives
  - Reading assignment: p541-544, 547-548
- Wednesday, Feburary 22
  - Topic: incremental approximation; marginal analysis
  - Reading assignment: p550, 544-545
- Friday, Feburary 24
  - Topic: the chain rule for partial derivatives
  - Reading assignment: p548-549
  - Quiz #6
    - Problem 1: second-order partial derivatives
    - Problem 2: incremental approximation
    - Solution; Common Errors

Week8
- Monday, Feburary 27
  - Topic: optimizing functions of two variables
  - Reading assignment: p556-562, p914-916(Appendix A: systems of equations)
- Wednesday, Feburary 29
  - Topic: practical optimization problems
  - Reading assignment: p562-564
  - Quiz #7
    - Problem 1: chain rule for functions of two variables
    - Problem 2: optimization
    - Solution
- Friday, March 2
  - Mock Exam II
    - Please print the 2010Spring exam (not the answers) and bring it to the class. We will simulate the test environment and let you know which part you need to improve.
  - Exam II Topic List
  - Exam II need-to-know
  - The review problems and the sitting chart have been emailed to you.

Week9
- Monday, March 5
  - Classroom Help Session: attendance not required
  - Exam 2: 8:00-9:15 p.m., Elliott Hall of Music
- Wedesday, March 7
  - Topic: the method of least-squares
  - Reading assignment: p569-573
  - Answers to Exam II
- Thursday, March 8
  - Alternate exam 2: 6:30-7:45 p.m.
- Friday, March 9
  - Topic: the Lagrange multiplier method
  - Reading assignment: p581-584
  - There is NO quiz today.

Week10
- Spring Break

Week11
- Monday, March 19
  - Last day to drop the course: with a 'W' on the transcript
  - Topic: applications of the Lagrange multiplier method
  - Reading assignment: p583-587
- Wednesday, March 21
  - Topic: double integral over rectangular regions
  - Reading assignment: p596-599
- Friday, March 23
  - Topic: double integral over nonrectangular regions
  - Reading assignment: p599-603
  - Quiz #8
    - Problem 1: the Lagrange multiplier method
    - Problem 2: double integral
    - Solution

Week12
- Monday, March 26
  - Topic: infinite series; summation notation; partial sums
  - Reading assignment: p708
- Wednesday, March 28
  - Topic: convergence of infinite series; geometric series
  - Reading assignment: p709-713
- Friday, March 30
  - Topic: application of geometric series in economics; the ratio test
  - Reading assignment: p714-717; p728-730
  - Problems done by hand: p730, 17, 19, 20 Answers
  - Quiz #9
    - Problem 1: double integral over nonrectangular regions
    - Problem 2: convergence of geometric series
    - Solution

Week13
- Monday, April 2
  - Topic: power series; radius and interval of (absolute) convergence
  - Reading assignment: p732-735
- Wednesday, April 4
  - Topic: Taylor series
  - Reading assignment: p737-742
- Friday, April 6
  - Topic: Review for Exam III
  - Study Guide for Exam III There are two typos! You are able to figure them out.
  - Quiz #10
    - Problem 1: radius of convergence of a power series
    - Problem 2: Taylor series expansion
    - Solution

Week14
- Monday, April 9
  - Exam 3: In class
- Wednesday, April 11
  - Topic: power series representation of indefinite integrals; approximation of integrals by Taylor polynomials
  - Reading assignment: p735-737; p745
  - Exam III discussion
    - Solution
- Friday, April 13
  - Topic: introduction to differential equations; seperation of variables
  - Reading assignment: p626-630
  - Problems done by hand: p637: 29, 32, 33, 35, 37, 40
  - Quiz #11
    - Problem 1: power series representaion of indefinite integrals
    - Problem 2: approximation of integrals by Taylor polynomials
    - Solution

Week15
- Monday, April 16
  - Topic: more on differential equations (using substitution); initial value problem
  - Reading assignment: none
- Wednesday, April 18
  - Topic: application of differential equations
  - Reading assignment: p631-636
- Friday, April 20
  - Topic: continuous randam variables
  - Reading assignment: p776-782
  - Problems done by hand: p785: 5,6,7,8,9,10
  - Quiz #12
    - Problem 1: Solving Differential Equations
    - Problem 2: Initial Value Problem
    - Solution

Week16
- Monday, April 23
  - Topic: application of continuous random variables
- Wedesday, April 25
  - REVIEW
- Friday, April 27
  - REVIEW

Week17
- Final exam
  - Time: 8:00-10:00 a.m.
  - Date: May 1st, 2012
  - Place: Elliot Hall of Music

MA224 Introductory Analysis II, Spring 2012

Instructor: Yongheng Zhang Section 022, 09:30-10:20, MWF, UNIV 003 Section 032, 10:30-11:20, MWF, UNIV 003

Instructor: Yongheng Zhang
Section 022, 09:30-10:20, MWF, UNIV 003
Section 032, 10:30-11:20, MWF, UNIV 003