The course on Integration and Infinite Series will treat, among others, methods of differentiation, methods of integration, series and their convergence, and relations between these concepts. The prerequisites required for this course are covered in Math 31A.

The course will have weekly classes on

• Mondays, Wednesdays, and Fridays in MS, room 4000A, from 11:00 to 11:50 am.

The book we will be following is Single Variable Calculus (2nd edition) by Jonathan D. Rogawski. We will be covering material in Chapters 7, 8, 9, and 11. You may find all the information you will need on the Syllabus.

The following notes are a formal outline of the material we will be covering. These notes are not comprehensive nor are intended to be a substitute for the textbook or the lectures. If you find mistakes (typographical or other) in these notes, or have comments, please let me know.

• MATH 31B Class Notes.

The following are additional materials closely related to the class notes.

• Table of trigonometric functions, hyperbolic functions, their inverses, and their derivatives.
• A variant of Problem 11.3.39.
• Problem 11.4.32.
• Guidelines for choosing a test when determining convergence or divergence of series.
• Factoring polynomials by Kevin Wortman.
• A guide to partial fractions by Joseph Breen.
• Angles, sine, and cosine, in the unit circle by Gilles Cazelais.
• Trigonometry in the unit circle by Gilles Cazelais.
• Proof of the trigonometric identities for sum and difference angles by Gilles Cazelais.
• Binomial Theorem by Saylor Academy.

There will be typically weekly homework. The assignments will be posted before Mondays at 9:00 am. The assignments will be due on Gradescope the following week, on Friday at 11:59 pm. The assignments and deadlines will be posted here. You are encouraged to work in groups.

There will be typically weekly discussion sessions. These intend to allocate time for you to work on the homework problems with your peers while having readily available feedback. The starred problem will be due on Gradescope on Thursday at 11:59 pm. The deadlines will be posted here. You are encouraged to work in groups.

Here the exams and their solutions will be posted. You can find the official UCLA schedule for the final exams here.

The following are practice exams that you may use to prepare:

• Practice Exam 1, Solutions.
• Practice Exam 2, Solutions.
• Practice Exam 3, Solutions.
• Practice Final, Solutions.

There are many resources available for a student at UCLA, I encourage you to use them and make the most out of them. Here are some materials specific to this course:

• The open office hours at the Student Math Center can be found here.
• The open tutoring of Tau Beta Pi can be found here.
• The Math Success Program from the Community Programs Office can be found here.
• The online calculator Wolfram|Alpha can be found here.

Here are some general materials about the Department of Mathematics, the College of Physical Sciences, and UCLA:

• The Campus Resources document maintained by Britney Robinson can be found here.
• The Frequently Asked Questions of the Undergraduate Math Council can be found here.
• The Resilience In Your Student Experience Center can be found here.
• The Basic Needs Clause for class syllabi drafted by Swipe Out Hunger can be found here.

I also encourage you to form study groups with your classmates. However, please keep in mind that you will only learn how to do the exercises if you try them on your own: without trying, looking up the solutions or copying others' work is absolutely useless.

You can compute your final grade using the calculator below. Please input the average of your homework assignments (out of 100), the average of your discussion assignments (out of 100), the score of your first midterm (out of 100), the score of your second midterm (out of 100), and the score of your final (out of 100). Then, click "Compute grading schemes" to see the three grading schemes (out of 100).

• Homework average:
• Discussion average:
• Midterm 1:
• Midterm 2:
• Final:

• Compute grading schemes