Northern Illinois University

**CALCULUS II (4 semester hours)**
Continuation of MATH 229.

**PREREQUISITE:**
MATH 229 with a grade of C or better.

- 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.

**SYLLABUS **

Click
for detailed **syllabus** with dates.

**HOMEWORK **

Click
for **the homework list**.

**WITHDRAWAL:**
The last day for undergraduates to withdraw from a full-semester course is
Friday, March 11.

**GRADING:**
Grades for MATH
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.
Calculators are **NOT** allowed during the final exam;
all of the problems can be solved without their use.

**TEXT:**
**Calculus
(8th ed.)**,
by Stewart (published 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.**

** ACADEMIC CONDUCT:**
Academic honesty and mutual respect (student with student and instructor with student) are expected in this course.
Mutual respect includes being on time for class and not leaving early, being prepared to give full attention to class work,
not reading newspapers or other material in class, not using cell phones or pagers during class time, and not looking at another student's work during exams.

Academic misconduct, as defined by the Student Judicial Code, will
not be treated lightly.

** DRC STATEMENT:** Northern Illinois University is committed to providing an accessible educational environment in collaboration with the Disability Resource Center (DRC).
Any student requiring an academic accommodation due to a disability should let his or her faculty member know as soon as possible.
Students who need academic accommodations based on the impact of a
disability will be encouraged to contact the DRC if they have not done so already.
The DRC is located on the 4th floor of the Health Services Building, and can be reached at 815-753-1303 or drc@niu.edu.

**BACKGROUND:**
The Calculus I homepage
with links to help expand your background knowledge.

- Student Information Sheet
- 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

- Review of the Definite and Indefinite Integral
- Volumes by Slicing
- Solids of Revolution
- l'Hopital's Rule

**Suggested exercises not from the
textbook:** Note that
many of these are unchanged from previous semesters, so they 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 so do the exams. 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.

- Understanding Mathematics: a study guide,
from the University of Utah

- 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.

**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 Calculus III and other courses.
Master each homework problem---beyond just getting a correct answer.
Be aware of your mistakes in algebra and trigonometry.
** Always come to class! **
While you're there, listen, think, and
ask questions.

Last update: December 20, 2015 (D. Naidu)