MATH 230 Fall 2021
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: Suggested lecture pace.
HOMEWORK: Suggested homework exercises.
GRADING: Grades will be assigned on the basis of 650 points, as follows:
- 3 hour exams worth 100 points each
- Quizzes and/or homework, 150 points total
- Final exam, 200 points
GRADING SCALE: The grading scale for this class will at least guarantee the following:
- 85% for an A
- 75% for a B
- 60% for a C
- 50% for a D
EXAMS: The first and third hour exams will be done on a section-by-section basis. See your instructor for details.
MIDTERM and FINAL EXAMS: The second exam (midterm) is scheduled for 6:00-6:50 PM, Wednesday, October 13, 2021.
This will be a departmental exam and all sections of the course will take the same second exam at the same time.
The Final Exam is scheduled for 12:00-1:50PM, Thursday, December 9, 2021 The final exam will be a comprehensive, departmental examination.
All sections of this course will take the same final exam at the same time. The final exam will be comprehensive.
Please note that these exams will likely NOT be in your regular classroom. Room assignments from the university are usually made one to two weeks before the exams.
PREVIOUS MID-TERM 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 midterm exam.
Midterm Exam (Spring 2021)
MidtermExam (Spring 2020)
Midterm Exam (Spring 2019)
Midterm Exam (Fall 2019)
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 2021)
Final Exam (Spring 2020)
Final Exam (Spring 2019)
Final Exam (Fall 2019)
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.
On exams and quizzes, however, no calculator with graphing capability will be allowed. A scientific calcultor can be used, however.
RESOURCES ON THE WEB:
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: Good academic work must be based on honesty. The attempt of students to present as their own work that which they have not produced is regarded by the faculty and administration as a serious offense. Students are considered to have cheated if they copy the work of another during an examination or turn in a paper or an assignment written, in whole or in part, by someone else. Students are guilty of plagiarism, intentional or not, if they copy material from books, magazines, or other sources without identifying and acknowledging those sources or if they paraphrase ideas from such sources without acknowledging them. Students guilty of, or assisting others in, either cheating or plagiarism on an assignment, quiz, or examination may receive a grade of F for the course involved and may be suspended or dismissed from the university.
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 in Suite 180 of the Campus Life Building, and can be reached at 815-753-1303 or drc@niu.edu.
COVID: If you have symptoms of COVID-19, stay home and contact NIU’s COVID helpline (815-753- 0444) to report your symptoms and get advice. Inform your instructor promptly to discuss accommodation options.
Read more about Protecting the Pack at Protecting the Pack
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
Arc lengths 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
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.