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Topics Included in Calculus 2:
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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1) The topics on the video ARE EXACTLY THE SAME AS the syllabus from the math department where I teach this course--THIS VIDEO HAS IT ALL!
2) It is taught entirely by 100's of examples and the theory behind it.
3)100's of problems are worked out in detail on my electronic smartboard and is fully narrated so no one gets lost.
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