M 408C - Differential and Integral Calculus

Course Number Course Title Day & Time Course Fee Register
M 408C Differential and Integral Calculus Online $1145.00
Course Type:
Self-Paced Online

M 408C is UT's standard first-year calculus course. It is directed at students in the natural and social sciences and at engineering students. The emphasis in this course is on problem solving, not on the presentation of theoretical considerations. While the course necessarily includes some discussion of theoretical notions, its primary objective is not the production of theorem-provers. The syllabus for M408C includes most of the elementary topics in the theory of real-valued functions of a real variable: limits, continuity, derivatives, maxima and minima, integration, area under a curve, volumes of revolution, trigonometric, logarithmic and exponential functions and techniques of integration.

View syllabus.

This course is independent study and is self-paced. Students have five months upon registration in which to complete all coursework and exams.

Textbooks and Materials:

Stewart, J. Calculus Early Transcendentals, 8th edition. Belmont, CA: Brooks Cole. 2012. ISBN: 9781285741550. The format of the book is unimportant (ebook, rental, etc.). The edition of the book is important. The "Early Transcendentals" part is also important.

A Quest subscription is required and costs $30. A link for this is provided within the course.

Technical Requirements:

Students are required to use a laptop or desktop computer with a high-speed internet connection. Tablets and smartphones are not supported. The computer should have a modern and updated operating system, at least 2GB of RAM and also meet Proctorio’s system requirements for online testing.

Official UT Austin Description:

Introduction to the theory and applications of differential and integral calculus of functions of one variable; topics include limits, continuity, differentiation, the mean value theorem and its applications, integration, the fundamental theorem of calculus, and transcendental functions.

May be counted towards the quantitative reasoning flag requirement.


An appropriate score on the mathematics placement exam or Mathematics 305G with a grade of at least B-. 

Students must have the approval of the University Extension advisor to enroll in this course. See more information about Course Approvals.

Students should contact the University Extension advisor with any questions about prerequisites or placement in our courses. All students should contact their academic advisor with any questions about how this course fulfills their degree requirements.