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Calculus 2
Calculus 2
46 lessons across 14 topics
1. Review and Basic Integration Techniques
1
Antiderivatives And The Fundamental Theorem Of Calculus
2
Definite Vs(dot) Indefinite Integrals
3
Substitution Review
2. Integration by Parts
4
Product Rule In Reverse
5
Repeated Integration By Parts
6
Tabular Integration
3. Trigonometric Integrals and Trigonometric Substitution
7
Powers Of Sine And Cosine
8
Root Expressions And Trig Substitution
9
Secant And Tangent Integrals
4. Partial Fractions
10
Linear And Irreducible Quadratic Factors
11
Rational Function Integration
12
Repeated Factors
5. Applications of the Definite Integral
13
Area Between Curves
14
Disk And Washer Methods
15
Volumes By Slicing
6. More Applications of Integration
16
Arc Length
17
Average Value Of A Function
18
Shell Method
19
Surface Area
7. Physical Applications and Improper Integrals
20
Center Of Mass
21
Fluid Force
22
Improper Integrals And Convergence
23
Work
8. Midterm Review and Midterm 1
24
Key Themes In Midterm Review And Midterm 1
25
Midterm 1
26
Review Of Integration Techniques And Applications
9. Sequences and Introduction to Series
27
Geometric Series
28
Limits Of Sequences
29
Monotone And Bounded Sequences
10. Convergence Tests I
30
Comparison Tests
31
Divergence Test
32
Integral Test
33
P-series
11. Convergence Tests II
34
Absolute Vs(dot) Conditional Convergence
35
Alternating Series
36
Ratio Test
37
Root Test
12. Power Series
38
Differentiation And Integration Of Power Series
39
Interval And Radius Of Convergence
40
Representation Of Functions By Series
13. Taylor and Maclaurin Series
41
Common Expansions And Applications
42
Polynomial Approximation
43
Taylor’s Theorem
14. Parametric and Polar Calculus
44
Area In Polar Form
45
Parametric Curves And Derivatives
46
Polar Coordinates
