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Math 161: Calculus II
Practice Questions & Study Resources
📚
Foundation Review
Mathematics
Algebra Review
Mathematics
Trigonometry Review
1
Integration & Its Applications
(Sec. 5.4 – 7.1)
Sec 5.4
Review of Integration
Sec 5.5
The Substitution Rule
Sec 6.1
Area Between Curves
Sec 6.2
Volume by Slicing (Disk/Washer)
Sec 6.3
Volume by Cylindrical Shells
Mixed Practice
Disk/Washer/Shell Methods
Sec 6.5
Average Value of a Function
Sec 7.1
Integration by Parts
2
Integration Techniques & Further Applications
(Sec. 7.2 – 9.3)
Sec 7.2
Trigonometric Integrals
Sec 7.3
Trigonometric Substitutions
Sec 7.4
Integration by Partial Fractions
Sec 7.8
Improper Integrals
Sec 8.1
Arc Length
Sec 9.3
Separable Differential Equations
3
Series Convergence Tests
(Sec. 11.1 – 11.7)
Sec 11.1
Sequences
Sec 11.2
Series (Geometric and Telescoping)
Sec 11.3
The Integral Test
Sec 11.4
The Comparison Tests
Sec 11.5
Alternating Series
Sec 11.6
The Ratio and Root Tests
Sec 11.7
Strategy for Testing Series
4
Power Series
(Sec. 11.8 – 11.11)
Sec 11.8
Power Series
Sec 11.9
Representation of Functions as Power Series
Sec 11.10
Taylor and Maclaurin Series
Sec 11.11
Taylor Polynomials