Department of Mathematical
Sciences,

Northern Illinois
University

| Prerequisite | Course Objectives | Syllabus | Homework | Withdrawal | Grading | Calculators | Text | Academic conduct | DRC | Handouts | Exercises | Final Exams | 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.

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 (SUGGESTED PROBLEMS)**

Click
for **the homework
list**.

**WITHDRAWAL:** The last day for
undergraduates to withdraw from a full-semester course is Friday,
October 14.

**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: August 20, 2016