intermediate active
Calculus 2
Integrals, techniques of integration, sequences, and series.
Level
intermediate
Length
about 5.5 hours of preview material
Topics
6
Prerequisites
Calculus 1
Early public version Last reviewed 2026-07-08
Early public version. Estimated full course duration to be updated.
About this course
Calculus 2 covers the definite integral as area under a curve, the Fundamental Theorem of Calculus, techniques of integration (substitution, by parts, partial fractions), improper integrals, sequences, and infinite series.
What you'll learn
- Set up and evaluate definite integrals
- Connect derivatives and integrals via the Fundamental Theorem
- Choose between substitution, by-parts, and partial fractions
- Decide when an improper integral converges
- Work with sequences and infinite series
Course structure
U01 The definite integral 3 topics
U02 The Fundamental Theorem of Calculus 3 topics
U03 Techniques of integration 6 topics
U04 Applications 3 topics
U05 Sequences and series 4 topics
U06 Taylor series 3 topics
How the course works
When you open the course, your browser loads a course player that runs the lessons locally. Each topic is a self-paced lesson: scripted slides, interactive widgets, and short exercises. The player remembers where you stopped, so you can pause and come back without losing your place.
Course content source:
webdeck_multi_youtube/courses/AU/ARIAN_Calculus_2/