Math 231 A1 Fall 2009
Calculus II
Second course in calculus and analytic
geometry: techniques of
integration, conic sections, polar coordinates, and infinite series.
(Prerequisite: MATH 220 or MATH 221)
- Instructor : Hyunchul Park, 341 Illini hall(217-333-6499), hpark48@illinois.edu
- Textbook: Stewart, Early Transcendentals, Sixth
Edition
- Course Webpage:
http://www.math.uiuc.edu/~hpark48/math_231A1.html
- Lecture
Class Hours and
classroom: MWF 8:00-8:50, Altgeld 141
- Riview Session for midterm 3
Wednesday(11/18) 6-8pm 141 Altgeld
Thursday (11/19) 7-9pm 341 Altgeld
- Office hour
Illini hall 341(217-333-6499), Mon 1pm, Wed 2pm or by appointment
- Grading : Class participation 10%, Quiz 15%, Three Exams 15% each,
Final 30
%
- Class participation : Class attendance is very important in this course and students are encouraged to ask/answer questions to keep the class lively.
- Homework : There will be approximately 10 homework assignments.
-
Quiz : There will be weekly quiz on Friday. No quiz will be given when there is an exam in that week. Quiz will be closely related with homeworks.
The lowest quiz score will be drop in the end of the semester.
-
Midterms : Three midterms will be given. Make-up exam will be given under very limited circumstances like illness, family matter. In this case, you will be required to give a proof of your excuse.
-
Final : Everyone must take the final. The final exam will be cumulative. There will be no make-up exam for final.
Exam
1
8:00-8:50 Friday in Altgeld 141, Sept 25 (Chapter 7)
Exam
2
8:00-8:50 Friday in Altgeld 141, Oct 23 (11.1--11.7)
Exam
3
8:00-8:50 Friday in Altgeld 141, Nov 20 (11.8-11.11 &
10.1--10.2)
Final
8:00-11:00 AM, Tuesday, December 15 (Cover all)
- Tentative Lecture Syllabus
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
7.7 Approximate Integration
7.8 Improper Integrals
Exam 1
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
Exam 2
11.8 Power Series
11.9 Representation of Functions by Power Series
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials
10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves
Exam 3
10.3 Polar Coordinates
10.4 Areas and Lengths in Polar Coordinates
Final exam