MATH 230 Fall 2018

| Catalogue description | Prerequisite | Course Objectives | Text | Syllabus | Homework | Withdrawal | Grading | Webpages for certain sections | Tutoring Center | Final Exam | Previous Final Exams | Calculators | Resources on the web | Academic conduct | DRC Statement | Extra Practice | 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.

TEXT: Calculus (eighth edition) by James 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.

SYLLABUS: Click here for suggested lecture pace.

HOMEWORK: Click here for the list of suggested homework exercises.

WITHDRAWAL: The last day for undergraduates to withdraw from a full-semester course is Friday, October 19.

GRADING: Grades will be assigned on the basis of 600 points, as follows:

  • 3 hour exams worth 100 points each
  • Quizzes and/or homework, 150 points total
  • Final exam, 150 points
Your instructor will provide more specific information about grading policies in your section.


CALCULUS TUTORING CENTER: The Calculus Tutoring Center (located in DU 326) provides free tutoring for 211, 229 and 230 (and 155 when needed). The primary focus is on 229 and 230. Tutoring videos and a schedule is available at this link.

FINAL EXAM: The Final Exam is scheduled for Noon-1:50 PM, Thursday, December 13, 2018. The final exam will be a comprehensive, departmental examination. All sections of this course will take the same final exam at the same time. Please note that the exam will likely NOT be in your regular classroom. Room assignments from the university are usually made one to two weeks before the final exam week.

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.
Final Exam (Spring 2010)
Final Exam (Spring 2011)
Final Exam (Spring 2012)

CALCULATORS: Students may consider having 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. The use of calculators on midterm exams remains at the discretion of each section’s instructor.

Understanding Mathematics: a study guide, from the University of Utah.
Calculus resource list from the Math Archives, from the University of Tennessee at Knoxville.
Symbolic calculators which will compute derivatives and integrals.

ACADEMIC CONDUCT: Academic honesty and mutual respect (student with student and instructor with student) are expected in this course. Mutual respect means 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

EXTRA PRACTICE: Note that many of the exercises below are unchanged from previous semesters, so they have "Spring 2012" in the title.
Review of the Definite and Indefinite Integral
Volumes by Slicing
Solids of Revolution
l'Hopital's Rule
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

ADVICE: Perhaps the single most important factor in your success in this course is your study habits. This is a fast paced course, with little room for catching up if you fall behind. Successful students have good time management skills. Set aside at least three nights a week to study the topics and work the homework problems. Do not wait until exam time to try to learn new material.

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.

In summary, to succeed in this course:

  • read the book and the lecture notes;
  • work the homework;
  • always come to class, and while you're there, think, listen, and ask questions.

Last update: January 07, 2018 (D. Naidu)