MATH 151: Calculus II. Section 4

Spring 2026

Course Syllabus and Class Policies

1. Major Course topics:

• Review of Differentiation and Integration

• Techniques of Integration

• Applications of Integration

• Parametric Curves; Polar Coordinates

• Infinite Sequences and Series

• Power Series; Taylor and Maclaurin Series and their Applications

• Differential Equations

The tentative detailed syllabus of the course can be found at http://home.sandiego.edu/~pruski/m151s26schedule.html .

2. Course Learning Outcomes:

Upon successful completion of the course, the student will be able to:

• Explain calculus concepts such as improper integral, convergence of sequences and series, power series, Taylor series, and solutions of differential equations. This includes the knowledge of theorems with complete assumptions.

• Apply calculus concepts to evaluate lengths, areas, and volumes, to solve simple differential equations, to model practical problems from various areas, and to interpret solutions obtained from the models.

• Determine convergence of sequences and series using a variety of methods, represent functions with Taylor and Maclaurin series, and determine error of approximating functions with Taylor polynomials.

• Clearly communicate complete solutions to problems verbally and in writing. This involves using complete sentences to explain individual steps in the solutions, correct notation and proper units.

• Explain, interpret and correctly apply definitions. Provide examples and non-examples to illustrate definitions.

• Use valid reasoning (be able to provide a logical sequence of statements that follow each other) and be able to identify invalid reasoning. Provide counterexamples to disprove statements that are not always true.

• Determine and explain when particular theorems apply to a situation and apply them correctly. 

• Prove simple theorems.

3. Regular attendance is really necessary. It is quite difficult to catch up with the material when you miss a class. It becomes virtually impossible, if you miss several classes.

4. The pace of the course will be quite fast. We cannot omit any of the topics as the course is a prerequisite for other math courses, which many of you will be taking. Please brace yourself for possibly a rough ride. I am here to help you.

5. A student is supposed to spend at least two hours at home for each class hour. Thus, you should expect spending at least 8 hours a week (more likely about 10 hours) doing your homework and preparing for quizzes/exams.

6. Since Calculus II is a course in mathematics, we will be doing some simple proofs. You will be expected to do some proofs in your homework assignments as well as during exams.

7. Because of wide availability of various symbolic algebra/calculus tools such as computer packages (MATLAB, Mathematica, Wolfram, etc.) and advanced calculators, the computational aspect of the course has been reduced. Computations are less important than setting up the problem correctly. Calculators and computers can do the computations; only people, however, can set the problems for computations. In this course, the concepts count much more than computations. In class I will sometimes omit the computational details. When doing your homework, in addition to problems, which I will ask you to solve completely manually and show all the steps of your work, you may be encouraged to use integration tables, advanced calculators, or various Web tools to solve other problems.

8. The textbook and additional materials are available for purchase via Canvas. I cannot lecture on everything in class (there is not enough class time), so you will have to learn some material on your own. Reading the assigned material is absolutely essential! Quizzes may include questions on the assigned reading as a gentle method of enforcing your reading.

9. Office hours (Dr. Lukasz Pruski, Saints 147):

and at other times, by appointment. (I am not on campus on Thursdays.)

10. Contact: The best way to contact me is by using e-mail (pruski@sandiego.edu). I read e-mail many times during the day and night, except for a few weekends when I am out of town.

11. A webpage for the course is at http://home.sandiego.edu/~pruski/m151s26.html . You should check the webpage daily for assignments, announcements, and links.

12. There will be two components of Homework Assignments: the WebAssign part and a written part. The total homework assignment score will count for 20% of the course grade. We will discuss and decide some details during the first week of classes. No late assignments will be accepted unless you arrange it with me in advance.

13. There will be about 10 short pop-quizzes (not announced in advance). Quiz problems will refer to the recently covered material or to the new material you were supposed to read on your own. Quiz problems will often have non-routine components. Three lowest quiz scores will be dropped, and the remaining scores will count for 20% of the course grade. Quizzes cannot be made up unless you have a valid reason for not taking the quiz and you notify me in advance of your absence.

14. There will be three tests (hour exams), on February 20, March 20, and May 1. Tests will be of closed-book variety. The test scores will, jointly, count for 30% of the course grade. A test can be made up only if you have an actual emergency and if you notify me in advance about your absence.

15. The final exam (Monday, May 18, 2:00 - 4:30) will be cumulative, closed-book, and its score will count for 30% of the course grade.

16. Calculator policy on all quizzes and exams: No advanced calculators, smart phones, tablets, etc. are allowed. (Also, bathroom breaks are not allowed on exams: I am embarrassed but this draconian rule has been imposed because of several cheating cases in recent years.)

17. Grading criteria are as follows:

Total percentage	Grade
90% and above	A
80% - 90%	B
60% - 80%	C
50% - 60%	D
below 50%	F

Of course, pluses and minuses will be used, close to cutoff boundaries. (In the unlikely case that the number of A's and B's falls below about 40%, I will curve the grades up appropriately.)

18. Free tutoring: The Math Learning Center (MLC) will open in a few days to provide free tutoring to students in math courses. Tutors with knowledge of Calculus II will be available to help. The MLC has a rich history of providing essential assistance to calculus students and has been praised by many Calc II students.

Students seeking additional support outside the classroom are encouraged to connect with a peer tutor through Knack. USD has partnered with Knack to provide students with access to verified peer tutors who have successfully completed this course. Visit usd.joinknack.com and sign in with your student account to get started.

17. 19. The Mathematics Department strongly promotes Academic Integrity. I hope issues related to academic integrity will not arise in our course. There have been some cases of cheating in math courses in the past – mainly the cases of submitting someone else’s work as well as cases of cheating during exams. Depending on the severity of the case, the possible consequences include: assigning the score of 0 on the given assignment, lowering the course grade, or even assigning an F in the course. The USD academic integrity policy can be found at https://www.sandiego.edu/conduct/documents/Honor-Code.pdf. 

    20. Accommodations: Any student with a documented disability needing academic adjustments or accommodations is requested to speak with me during the first two weeks of class. All discussions will remain confidential. A student attempting to access Disability Services for the first time should begin by contacting the Disability and Learning Difference Resource Center (DLDRC) in SH, Room 300 (619/260-4655), e-mail: disabilityservices@sandiego.edu , website: www.sandiego.edu/disability/ It is the student's responsibility to schedule an "intake" meeting with the DLDRC Director as soon as possible. 

21. Health Resources: If you feel sick, please stay home to keep others healthy. The following USD resources are available:

• Student Health Center: https://www.sandiego.edu/health-center/ (non-urgent email: usdhealthcenter@sandiego.edu)

• MyWellness Portal: https://mywellness.sandiego.edu/