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Topics Included in Business Calculus:
1 An Introduction to Limits
2 Techniques for Evaluating Limits
3 Continuity
4 Derivation of the Definition of
The Derivative and Alternate Derivative
5 Using Derivative & Alternate
Derivative Formula
6 1st Derivative Rules
7 Product and Quotient Rules
8 General Power Rule and Chain
Rule
9 Implicit Differentiation
10 Related Rates
11 More Related Rates
12 Extrema on an Interval
13 1st and 2nd Derivative Test
& POI
14 Optimization Problems
15 Business and Economics
Applications
16 Limits at Infinity
17 Curve Sketching Polynomials
18 Curve Sketching Non
-Polynomials
19 Marginal Analysis
20 Exponential Functions
21 Differentiation &
Integration of Exponential Functions
22 Logarithmic Functions
23 Laws of Logarithms
24 Differentiation of Logarithmic
Functions
25 Integration of Logarithmic
Functions
26 Exponential Decay and Growth
27 Antiderivatives and Indefinite
Integrals
28 Rules of Integration
29 Area of a Region Between Two
Curves
30 Calculating Area Using Limits
31 The Disc Method
32 Shell Method
33 Volume of Solids With Known
Cross Sectional Area
34 Trigonometric Substitution
35 Integration By Parts
36 Finding Present Value
37 Partial Fractions
38 Trapezoidal Rule
39 Simpson Rule, n = even
40 Surfaces in Space
41 Intro to Functions of Several
Variables
42 Partial Derivatives
43 Extrema of Functions of Two
Variables
44 Lagrange Multipliers
45 Iterated Integrals and Area in
the Plane
46 Double Integrals and Volume
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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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