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CREATIVE MATH VIDEOS & TUTORING BY COLLEGE MATH PROFESSOR
Calculus II
This video has 46 topics covered in over 29 hours. The topics are covered in my usual thorough teaching style using numerous examples. The video 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 videos you can see this. I hope to ignite some passion in the student too who is taking math at this level.
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Topics in Calculus 2 Over 29 Hours-46 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 Work 14 Fluid Pressure 15 Mass, Moments, Center of Mass 16 Arc Length 17 Exponential Functions 18 Differentiation & Integration of Exponential Functions 19 Inverse Functions 20 Logarithmic Functions 21 Laws of Logarithms 22 Differentiation of Logarithmic Functions 23 Integration of Logarithmic Functions 24 Indeterminate Form & L'Hopital's Rule |
25 Limits of Trig Functions 26 Derivatives of Trig Functions 27 Integrals of Trig Functions 28 Trig Inverses 29 Derivatives of Trig Inverse Functions 30 Integrals of Trig Inverse Functions 31 Hyperbolic Functions 31 Basic Integration Formulas 33 Integration By Parts 34 Trigonometric Integrals 35 Trigonometric Substitution 36 Partial Fractions 37 Improper Integrals 38 Sequences 39 Series and Convergence 40 Integral Test and P-series 41 Comparison Tests 42 Alternating Series 43 Remainder for Alternating Series 44 Absolute and Conditional Convergence 45 Ratio and Root Test 46 Taylor and Maclaurin Polynomials and Appoximations 47 Power Series 48 Representation of Functions by Power Series 49 Taylor and Maclaurin Series |