Calculus 2


handouts videos syllabus pdf flier photographs

Fall 2022

The classes will be held on the University City campus.
Class times and place: Mon and Wed 12:20–1:35 (room TBA), Fri 11:15–12:05 in STC 147.

Office Hours

will be by appointment: email me and we will find a time for us to meet.


No textbook required. Handouts with course material, practice problems, and exam reviews are available on my website. The material of this course (as well of Calculus 1 and Calculus 3) matches Calculus by James Stewart.


All students are required to have a graphing calculator. Instructions will be given for TI83/84.

Topics Covered

1. Review of Differentiation. Derivatives of Exponential and Logarithmic Functions.
2. Indefinite Integrals. Substitution.
3. Definite Integrals. Left and Right Sum
4. The Fundamental Theorem of Calculus
5. Areas between Curves
6. Volumes (cross-sections)
7. Volumes (shells)
8. Work. Average Value of a Function
9. Trigonometric, Inverse Trigonometric Functions and their Derivatives and Integrals
10. L'Hopital's Rule
(Exam 1)

13. Integration by Parts
14. Trigonometric Integrals
15. Partial Fractions
16. Improper Integrals
17. Approximate Integration: Trapezoidal and Simpson's Sum
18. Arc Length and Area of a Surface of Revolution
(Exam 2)

19. Differential Equations. Separable Equations
20. Direction Fields. Euler's Method
21. Autonomous Differential Equations and Population Dynamics
22. Modeling with Differential Equations. Applications
23. Linear Equations
24. Curves defined by Parametric Equations
25. Derivatives of Parametric Curves. Area
26. Arc Length and Surface Area of a Parametric Curve
(Exam 3)

27. Polar Coordinates
28. Areas and Lengths in Polar Coordinates
29. Taylor Polynomial

Tentative exam dates

Exam 1: during the 5th week of classes.
Exam 2: during the 9th week of classes.
Exam 3: during the 12th week of classes.
Final Exam: during the finals week.


Exams 1, 2 and 318% each
Final Exam24%
Grades are computed according to the following system:
A+ A A- B+ B B- C+ C C- D+ D D- F
grade 97-100 93-96 90-92 87-89 83-86 80-82 77-79 73-76 70-72 67-69 63-66 60-62 0-59

Number of credits



MA122 or MA110 or permission of instructor


The class lectures will be delivered on campus (at the times listed above). Recordings of the lectures are available for students who miss some classes. To stay on track, it is highly recommended that students attend the classes and use the recordings just for reference.
Students are responsible for all material covered in class, even if attendance is not checked or assignments collected.


There will be three semester exams and a cumulative final exam. No makeup exam will be given unless the excuse for missing the scheduled exam is acceptable to the instructor. Any makeup exam must be taken before the next regularly scheduled exam. No exam grade will be dropped.

Assignments and Projects

There will be four assignments and two Matlab projects during the semester (students will be able to install Matlab on their home computers or to use it from a web browser). There will be no makeup assignments. Assignments or projects turned in after their due date will receive an automatic reduction in grade. No assignment or project grade will be dropped.

Response time

The assignments, projects and exams are typically graded in three days after they are turned in. Special circumstances like snow days, school closing or holidays, may occasionally delay the response time. Barring special circumstances, students’ emails are usually responded to within one working day.

Course Objectives

  • Obtain a well rounded introduction to the area of integration techniques, applications of integrals, differential equations and parametric and polar functions.
  • Deepen students' knowledge of problem formulation, problem solving and modeling techniques required for successful application of mathematics obtained in previous calculus courses.
  • Competently use appropriate technology to model data, implement mathematical algorithms and solve mathematical problems.
  • Cultivate the analytical skills required for the efficient use and understanding of mathematics.

Learning outcomes

Students will:
  • demonstrate proficiency in integration techniques;
  • be able to use functions in parametric form and in polar coordinates;
  • model and solve problems using the first order differential equations;
  • demonstrate the use of calculus in problem solving;
  • demonstrate proficiency in using mathematical software;
  • know how to use appropriate technology to solve problems applying calculus techniques.

Academic integrity

Academic integrity is at the center of the educational experience at the SJU. Students are therefore expected to uphold the highest standards of academic integrity and not engage in nor tolerate academic dishonesty. Academic dishonesty includes, but is not limited to, fabrication, cheating or plagiarism, and unauthorized collaboration. Any violation of academic integrity will be investigated and, where warranted, the student will receive appropriate sanctions through the University's Student Conduct Process. Please familiarize yourself with the current Student Handbook. In particular, adherence to the Student Conduct Policy and Academic Integrity Policy will help to ensure that your learning and living experiences are founded on integrity.

Americans with Disabilities Act (ADA) Compliance Statement

SJU supports the educational endeavors of all students, including students with disabilities. ADA defines a disability as a mental or physical impairment that substantially limits one or more major life activities. If you believe that you have a disability that may impact your ability to fulfill your course or degree requirements, and you would like more information on applying for an accommodation under ADA, please contact the Program Coordinator of Student Accommodations who serves as 504 Coordinator.

Mental Health Wellness Statement

SJU encourages students to recognize that academic success requires students to be emotionally and physically well. If you are having difficulty coping with stress associated with the classroom or are experiencing other personal issues, please go to Student Health and Counseling (SHAC) located on the first floor of Whitecar Hall or call 215.596.8536. Additional emotional support is available 24/7 and can be obtained by contacting the National Suicide Prevention Hotline at 800.273.8255 or by texting “Go” to the Crisis Text Line 741-741. The services listed above are all free and confidential.

COVID-19 Syllabus Statement

As we continue to navigate the COVID-19 pandemic it is important to remember that:
· All individuals, regardless of vaccination status, are required to wear masks indoors on campus.
· SJU mandates that all students, faculty, and staff are vaccinated against COVID-19.
· Practice good hygiene by frequently washing hands.
· Conduct a daily health check before coming to campus.
Check the COVID-19 Return to Campus Guidelines regularly for updates. If we all follow the rules, we will help to ensure that our learning environment is as safe as possible.
Students who are ill, regardless of symptoms, vaccination status or or diagnosis, should not come to campus for classes or activities and should contact SHAC. If students are ill, but able to virtually participate in courses they may do so. Students should not contact the Office of Student Health for “sick notes.”
The COVID-19 pandemic has refocused the need for both mental and physical personal wellness. The University encourages students who are ill to take the time to focus on their health. Additionally, if needed students may reach out to their college dean’s office to inquire about leave of absence options including: short-term leave of absence (up to 10 business days), a personal leave of absence, or a medical leave absence. We firmly believe to learn you must be healthy.