# Calculus Tutor Videos - 29 Hours- 46 Topics

The Calculus 2 Tutor videos prepares a student to be successful in Calculus III, Physics and beyond. Topic covered include Rules of Integration, Arc Length, Limits of Trig Functions, Sequences and more. Each example is explained in a step by step fashion that allows the student to follow the logic. Once again, central to my videos I endeavor to teach the student how to think mathematically. This video is an excellent complement to your lectures and can be used with any textbook that your instructor may be using for this course. I am passionate about mathematics as well as teaching and I hope that in all of my lectures you can see this. I hope to ignite some passion in the student too who is taking math at this level.

Topics in Calculus 2 Tutor Over 29 Hours-46 Tutor Topics

1. Basic Sigma Notations
2. Using Sigma Notation
3. Area using upper and lower rectangles
4. Calculating Area Using Limits
5. Rules of Integration
6. Integration by Substitution
7. Trapezoidal Rule
8. Simpson Rule, n = even
9. Area of a Region Between Two Curves
10. The Disc Method
11. Shell Method
12. Volume of Solids With Known Cross Sectional Area
13. Arc Length
14. Exponential Functions
15. Differentiation & Integration of Exponential Functions
16. Inverse Functions
17. Logarithmic Functions
18. Laws of Logarithms
19. Differentiation of Logarithmic Functions
20. Integration of Logarithmic Functions
21. Indeterminate Form & L'Hopital's Rule
22. Limits of Trig Functions
23. Derivatives of Trig Functions
24. Integrals of Trig Functions
25. Trig Inverses
26. Derivatives of Trig Inverse Functions
27. Integrals of Trig Inverse Functions
28. Hyperbolic Functions
29. Basic Integration Formulas
30. Integration By Parts
31. Trigonometric Integrals
32. Trigonometric Substitution
33. Partial Fractions
34. Improper Integrals
35. Sequences
36. Series and Convergence
37. Integral Test and P-series
38. Comparison Tests
39. Alternating Series
40. Remainder for Alternating Series
41. Absolute and Conditional Convergence
42. Ratio and Root Test
43. Taylor and Maclaurin Polynomials and Appoximations
44. Power Series
45. Representation of Functions by Power Series
46. Taylor and Maclaurin Series

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