Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be.Ĭalculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. Slay the calculus monster with this user-friendly guideĬalculus For Dummies, 2nd Edition makes calculus manageable-even if you're one of the many students who sweat at the thought of it. In this case since the coefficient of x was 2 If the coefficient is negative, the graph "opens down" and it has a maximum.Ī quadratic function has a maximum when the coefficient of x - 0 and a minimum when the coefficient + 0. Yes you're right, if the coefficient of x² is positive, the graph "opens" up and it has a minima. This content is accurate and true to the best of the author’s knowledge and is not meant to substitute for formal and individualized advice from a qualified professional.Įugene Brennan (author) from Ireland on January 26, 2020: Stroud, K.A., (1970) Engineering Mathematics (3rd ed., 1987) Macmillan Education Ltd., London, England.
Calculus for dummies how to#
How to Understand Calculus: A Beginner's Guide to Integration References See my other tutorial, which covers integral calculus and applications of integration: Note: Second-hand 1987 editions of this textbook are available on Amazon for about $20. This book basically makes learning mathematics fun!
Calculus for dummies plus#
It also covers a more in-depth treatment of probability theory than what has been covered in this article, plus a section on statistics. Personally, I've found it really easy to follow. The text is written in the style of a personal tutor, guiding the reader through the content, posing questions and encouraging them to provide the answer. Engineering Degrees and Higher National Diploma courses.Ī wide range of topics are covered, including matrices, vectors, complex numbers, calculus, calculus applications, differential equations and series. The material has been written for part 1 of BSc. Stroud, available on Amazon, is an excellent math textbook for both engineering students and anyone with a general interest in mathematics. Recommended BooksĮngineering Mathematics by K.A. This is called the max power transfer theorem. So max power transfer occurs when R L = R INT. So the denominator is R 2 INT / R L + 2R INT + R Lĭ/dR L (R 2 INT / R L + 2R INT + R L ) = -R 2 INT / R 2 L + 0 + 1 Rather than finding when this is a maximum, it's easier to find when the denominator is a minimum and this gives us the point at which maximum power transfer occurs, i.e. So power dissipated in the load R L is given by the expression:Īnd dividing above and below by R L gives: The current I through the circuit is given by Ohm's Law: The schematic of a power supply connected to a load, showing the supply's equivalent internal resistance Rint
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