MATH 230 Fall 2017

| Prerequisite | Course Objectives | Syllabus | Homework | Withdrawal | Grading | Calculators | Text | Academic conduct | DRC | Handouts | Exercises | Final Exams | Resources on the web | Sections | 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.

Click here for detailed syllabus with dates.

Click here for the list of suggested problems.

WITHDRAWAL: The last day for undergraduates to withdraw from a full-semester course is Friday, October 20.

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

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


Student Information Sheet
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
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.


Section 4, Professor Brian Veitch
Section 7, Professor Richard Blecksmith

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: Jan 04, 2017 (D. Grubb)