University of Calfornia, Riverside
Mathematics 5C
The Principles of Calculus III
Spring 2026
University of Calfornia, Riverside
Mathematics 5C
The Principles of Calculus III
Spring 2026
Course Materials
All course materials may be accessed through this website.
Introduction
Mathematics 5C is the third course in the Principles of Calculus course sequence and covers the material in Principle of Calculus III. The two principles that this course develops are: Higher Order Approximation, and Integration. We will begin the course with a study sequences of functions. By the end of the course, we will simulate planetary motion.
Meeting Times and Location
Mathematics 5C Section 001
Tuesdays and Thursdays
2:00pm - 3:20pm
Skye Hall 171
Expectations
Workload
Mathematics 5A is a five unit class. The expectation is that one unit corresponds to one classroom hour and two hours of independent student work. You should spend, on average, about ten hours outside of class per week studying the material that we cover in class. Attending office hours is not a part of this study time. Study time is time that you spend, alone or with peers, actively working through the material. This may include time spent reading notes, but simply reading is not enough. Also remember that the expected grade is not an A. To achieve that level of mastery will likely require more effort. Plan your schedule accordingly.
Lecture
The duration of a lecture is 80 minutes. There will typically be two lectures per week.
Prior to lecture you should have already reviewed the workbook sections for the previous lecture, have attempted the Linguistic Mapping exercises for the previous week, and have turned in the Peer Engagement exercises from the previous week to gradescope.
We will work in lecture through the Linguistic Mappings for the sections that we cover that day. Lecture time is heavily devoted to actual problem solving, language acquisition, and instruction on use of principles of reasoning.
Most days of lecture, you will have quiz(zes) due that you will complete on your own time. Your score is based on completion. Quizzes are intended to help you gauge your own preparedness, so please take them seriously. Quiz questions are "Pass-Level" questions and will appear on your final exam as such.
Discussion Section
The duration of a discussion section is 50 minutes. There will typically be two discussion sections per week. The graduate student teaching assistant to whom you are assigned will lead both discussion sections.
During each discussion section, you will spend about 10-20 minutes with a partner reviewing each other's peer engagement exercises.
Discussion section is an excellent time for you to ask questions. Ultimately, your questions will guide the discussion sections. I advise that you work in groups practicing knowledge checks with your peers. I expect the teaching assistants to keep track of student progresss in whatever way they prefer.