M 408D - Sequences, Series, and Multivariable Calculus

Course Number Course Title Day & Time Course Fee Register
M 408D Sequences, Series, and Multivariable Calculus Online $1145.00
Course Type:
Self-Paced Online

M408D is the second course in UT's standard first-year calculus sequence. 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. M408D contains a treatment of infinite series, and an introduction to vectors and vector calculus in 2-space and 3-space, including parametric equations, partial derivatives, gradients and multiple integrals.

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:

This is the second semester of the accelerated calculus sequence. The theory and applications of sequences and infinite series, including those involving functions of one variable, and an introduction to the theory and applications of differential and integral calculus of functions of several variables; subjects include methods of integration, parametric equations, sequences, infinite series, power series, functions of several variables, partial derivatives, and multiple integrals.


Mathematics 408C, 408L, or 408S with a grade of at least C-; or consent of the University Extension advisor.

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.