Business Calculus
This video covers 46 topics in over 31 hours. The video prepares a student to be successful in business calculus. The topics are taught by solving numerous problems in easy to follow steps. Topics covered include introduction to limits, techniques for evaluating limits, continuity, 1st derivative rules, optimization problems, business and economics application, curve sketching, marginal analysis, exponential decay and growth, calculating area using limits and more. I make this course exciting and encourage students to think. This video is a great complement to your lectures no matter what textbook your instructor is using.
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Topics in Business Calculus Over 31 Hours-46 Topics 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 |