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The following video provides an outline of all the topics you would expect to see in a typical Single-Variable Calculus 2 class (i.e., Calculus II, Integral Calculus, BC Calculus, or IB HL 2 Mathematics).
All of the topics are covered in detail in our Online Calculus 2 Course.
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Calculus 2 Syllabus
9 Videos 81 Examples
Calculus 2 Overview
The following sections provide links to our complete lessons on all Calculus 2 topics.
Ready for Calculus 2? Find out with our FREE Calculus 2 Readiness Test. It includes 20 Questions to help you find your strengths and weaknesses prior to taking a calc 2 course.
Integrals
17 Videos 143 Examples 79 Practice Problems
- Riemann Sum
- Sigma Notation
- Integration Rules
- Integral of Exponential Function
- Trig Integrals
- Inverse Trig Integrals
- Fundamental Theorem of Calculus
- U Substitution
- Mean Value Theorem for Integrals
- Particle Motion
- Simpson’s Rule
- Partial Fraction Decomposition
- Integration by Parts
- Advanced Trigonometric Integration
- Trig Substitution
- Improper Integrals
- Chapter Test – Integrals
Application of Integrals
10 Videos 74 Examples 60 Practice Problems
- Area Between Two Curves
- Volumes with Known Cross Sections
- Disk Method
- Washer Method
- Solids of Revolution – Shell Method
- Arc Length Formula for Calculus
- Work and Hooke’s Law
- Hydrostatic Force
- Moments and Center of Mass
- Chapter Test – Applications of Integration
Differential Equations
6 Videos 38 Examples 30 Practice Problems
- Separable Differential Equations
- Slope Fields
- Exponential Growth and Decay
- Euler’s Method
- Logistic Differential Equations
- Chapter Test – Differential Equations
Polar Functions
5 Videos 44 Examples 32 Practice Problems
- Polar Coordinates
- Polar Graphs
- Tangent Line in Polar Coordinates
- Area in Polar Coordinates
- Chapter Test – Polar Functions
Parametric and Vector Functions
3 Videos 39 Examples 31 Practice Problems
- Vectors Lesson
- Parametric Lesson
- Chapter Test – Parametric & Vector Functions
Sequences and Series
18 Videos 146 Examples 117 Practice Problems
- Sequences and Series Intro
- Nth Term Test
- P Series Test
- Geometric Series
- Limit Comparison Test
- Integral Test
- Telescoping Series
- Alternating Series
- Ratio Test
- Root Test
- Sequences and Series Review
- Radius and Interval of Convergence
- Power Series
- Maclaurin and Taylor Series
- Taylor Series
- Binomial Series
- Lagrange Error Bound
- Chapter Test – Sequences & Series
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