About Calculus for Engineers I: Calculus with Analytic Geometry for Science and Engineering - MAT 265

Topics covered in this course include limits (including those involving infinity); derivatives and rates of change; continuity; applications of the derivative; linear approximation; accumulation; antidifferentiation; definite integrals; and more.

Content in this course is adaptive, allowing you to achieve mastery in a certain concept before moving on to the next. This course uses Gradarius, a calculus learning platform that personalizes your learning based on the topics you already know and the topics you still need to learn. You will also have access to individualized coaching as you move through each topic in this course.

You will learn:

  • The meaning and computation of limits
  • The meaning and determination of continuity
  • The meaning and computation of average rates of change and applications
  • The meaning and computation of instantaneous rates of change and applications
  • The meaning and computation of accumulation and applications
  • The meaning and computation of Riemann Sums and applications
  • Techniques to solve optimization problems and applications

MAT 170 is strongly suggested as a prerequisite for success in this course.

About the formats


Self-paced courses allow students to complete course assignments at their own pace, as long as the course is completed within a year. Self-paced courses are great for:

  • Students who want to start right away
  • Students who are self-directed and can set and stick to a plan for completing the course
  • students who may want to either go faster or slower than the instructor-paced version

Instructor led

Instructor-led courses have a structure with weekly assignment due dates, as well as an instructor guiding a student through the curriculum and content. Instructor-led courses are great for:

  • Students who prefer a structured timeline with established due dates for assignments
  • Students who enjoy interaction with other students, who will be completing assignments at the same time
  • Students who are taking their first course online, and may benefit from greater guidance

This course is worth 3 credit hours toward the Mathematical Studies (MA) General Studies requirement at Arizona State University. It is strongly encouraged that you consult with your institution of choice to determine how these credits will be applied to their degree requirements prior to transferring your credit.

Upcoming start dates

Aug. 17, 2021$25 + 400
Jan. 11, 2022$25 + 400




Self-paced or 15 weeks

Faculty and course staff

Fabio A Milner

Director & Professor of Mathematics

Applied Mathematics and Mathematics Education

Arizona State University