Department of Mathematical Sciences,
Northern Illinois University
MATH 230 Spring 2013
|
Prerequisite |
Course Objectives |
Section 1 |
Grading |
Final Exam |
Calculators |
Text |
Handouts |
Homework |
Resources on the web |
Some advice |
CALCULUS II (4 semester hours)
Continuation of Math 229.
PREREQUISITE:
MATH 229 with a grade of C or better
COURSE OBJECTIVES:
- To understand and connect concepts of the calculus with real
world problems and other scientific disciplines.
- To value mathematics and develop an ability to communicate mathematics,
both in writing and orally.
- To develop mathematical reasoning, and an ability to solve problems.
- To attain computational facility in integral calculus, and sequences
and series.
WITHDRAWAL:
The last day for undergraduates to withdraw from a full-session couse is
Friday, March 8.
GRADING:
Grades for 230 will be assigned on the basis of 650 points,
as follows:
- 3 one-hour exams worth 100 points each
- Quizzes and/or homework, 150 points total
- Final exam, 200 points
CALCULATORS:
Students are asked to have a graphing calculator with roughly the
capabilities of the TI-83. You will find this useful for investigating
the concepts of the class, so you can experiment with additional
examples. You may also want to verify parts of your homework calculations.
TEXT:
Calculus NIU Edition
(7th ed.) Volume II,
by Stewart (publ. by CENGAGE Learning)
Some additional references:
Thomas and Finney, Calculus and Analytic Geometry.
Edwards and Penney, Calculus and Analytic Geometry.
Swokowski, Calculus with Analytic Geometry.
Leithold, The Calculus with Analytic Geometry.
STUDENT HANDOUTS:
- Syllabus
- Review of the definite and
indefinite integral
- Steps for Partial Fraction
Decompositions
- A Guide for Improper
Integrals
- A Guide for Infinite
Series (``Improper Sums")
- Graphing sequences using a TI-83
EXERCISE EXAMPLES:
- Review of the
Definite and Indefinite Integral
- Volumes by Slicing
- Solids of Revolution
- l'Hopital's Rule
HOMEWORK:Note that
many of these are unchanged from last year, so have
"Spring 2012" in the title.
- Review of the
Definite and Indefinite Integral
- Areas Between Curves
- Approximate
Integration
- Volumes, Part I
- Volumes, Part II
- Arclengths and Surface
Area
- The Natural
Logarithm
- Inverse
Functions
- The Exponential
Function
- General Exponential
and Logarithm Functions
- Inverse
Trigonometric Functions
- Limits and L'Hopital's
Rule
- Sequences
- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitutions
- Partial Fractions
- Integration Recap
- Improper Integrals
- Power Series
- Taylor Polynomials
- Taylor Series
- Infinite Series
- The Integral Test
- More Comparison Tests for
Series
- Alternating Series and
Absolute Convergence
- The Ratio and Root Tests
- Radius and Interval of
Convergence
PREVIOUS FINAL EXAMS: Note
that
the course changes and the exams change. Our goal is to help you
learn the material in Calculus 2, not specifically to prepare you for
the final exam.
- Sample final, Spring 2008
- Sample final, Spring 2009
- Sample final, Spring 2010
- Sample final, Spring 2011
- Sample final, Spring 2012
TUTORING
The Math Assistance Center provides
free tutoring in Calculus I and II in DuSable 326.
RESOURCES ON THE WEB:
- Understanding Mathematics: a study guide,
from the University of Utah
- How to Ace Calculus: the Streetwise Guide, from UC Davis
- Calculus resource list from the Math Archives,
from the University of Tennessee at Knoxville
- Calculus resource list from the Math Forum,
from Swarthmore College
- "Symbolic calculators" on-line which will compute
derivatives and
integrals.
(Here's an alternative site for integrals)
ADVICE:
Perhaps the single most important factor in your success
in this course is your study habits .
Think of learning math as "working out" in the gym.
Study at least 3 times per week; do not wait until the day before the exam.
Learn mathematics like you would learn a language.
Work on the concepts until they make sense.
Don't just memorize facts and then forget them a few weeks later.
You will need to know this stuff for Calc III and other courses.
Master each homework problem - beyond just getting a correct answer.
Be on the lookout for mistakes in algebra and trig.
Always come to class!
While you're there, listen, think, and ask questions.
Last update: January 7, 2013