How this course works
The chapters and lessons below are the fixed course structure. When you start, LearnLive teaches each lesson interactively and adapts examples, pacing, and questions to you.
Complete syllabus
Every chapter and lesson
- 01
Chapter 1 · 3 lessons
Techniques of Integration
- 1.1
Integration by parts
9 min · Quick check
- 1.2
Trig integrals & substitution
9 min · Quick check
- 1.3
Partial fractions
9 min · Quick check
- 1.1
- 02
Chapter 2 · 3 lessons
Further Integration
- 2.1
Improper integrals
9 min · Quick check
- 2.2
Numerical integration
8 min · Quick check
- 2.3
A strategy for integration
8 min · Quick check
- 2.1
- 03
Chapter 3 · 3 lessons
Applications of Integration
- 3.1
Volumes of revolution
9 min · Quick check
- 3.2
Arc length & surface area
8 min · Quick check
- 3.3
Physical applications
8 min · Quick check
- 3.1
- 04
Chapter 4 · 3 lessons
Differential Equations
- 4.1
Separable equations
9 min · Quick check
- 4.2
Exponential models
8 min · Quick check
- 4.3
First-order linear equations
8 min · Quick check
- 4.1
- 05
Chapter 5 · 3 lessons
Sequences & Series
- 5.1
Sequences
8 min · Quick check
- 5.2
Series & convergence
9 min · Quick check
- 5.3
Convergence tests
9 min · Quick check
- 5.1
- 06
Chapter 6 · 3 lessons
Power Series
- 6.1
Ratio & root tests
8 min · Quick check
- 6.2
Power series
9 min · Quick check
- 6.3
Taylor & Maclaurin series
9 min · Quick check
- 6.1