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Mathematics Tutoring: Calculus
This guide provides information on additional tutoring resources for FSCJ students
There are 28 videos that solve the problems from the free worksheet provided in the first video. These videos cover algebra and trig questions.
Big Picture of Calculus
Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations, such as: * driving a car * climbing a mountain * growing to full adult height
How to Solve Word Problems in Calculus by Eugene Don; Benay DonConsidered to be the hardest mathematical problems to solve, word problems continue to terrify students across all math disciplines. This new title in the World Problems series demystifies these difficult problems once and for all by showing even the most math-phobic readers simple, step-by-step tips and techniques. How to Solve World Problems in Calculus reviews important concepts in calculus and provides solved problems and step-by-step solutions. Once students have mastered the basic approaches to solving calculus word problems, they will confidently apply these new mathematical principles to even the most challenging advanced problems. Each chapter features an introduction to a problem type, definitions, related theorems, and formulas. Topics range from vital pre-calculus review to traditional calculus first-course content. Sample problems with solutions and a 50-problem chapter are ideal for self-testing. Fully explained examples with step-by-step solutions.
Practice Makes Perfect Calculus by William Clark; Sandra K. McCuneFor students who need to polish their calculus skills for class or for a critical exam, this no-nonsense practical guide provides concise summaries, clear model examples, and plenty of practice, practice, practice. About the Book With more than 1,000,000 copies sold, Practice Makes Perfect has established itself as a reliable practical workbook series in the language-learning category. Now, with Practice Makes Perfect: Calculus, students will enjoy the same clear, concise approach and extensive exercises to key fields they've come to expect from the series--but now within mathematics. Practice Makes Perfect: Calculus is not focused on any particular test or exam, but complementary to most calculus curricula. Because of this approach, the book can be used by struggling students needing extra help, readers who need to firm up skills for an exam, or those who are returning to the subject years after they first studied it. Its all-encompassing approach will appeal to both U.S. and international students. Features More than 500 exercises and answers covering all aspects of calculus. Successful series: -Practice Makes Perfect- has sales of 1,000,000 copies in the language category--now applied to mathematics. Large trim allows clear presentation of worked problems, exercises, and explained answers.
Call Number: eBook
Publication Date: 2010
Humongous Book of Calculus Problems by W. Michael KelleyLet's face it. Math textbooks are not published out of the goodness of people's hearts. They're published because most of the people who write them will get fired from their jobs as college professors if they don't publish a textbook every now and then. This book, however, is an exception. Mike Kelley, bestselling author of The Complete Idiot's Guide to Calculus, has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made notes in the margins adding missing steps and simplifying concepts and solutions so that what could be baffling to students is made perfectly clear. It's as if your best friend-who just happens to be a calculus wiz and who's painfully aware of your mathematical shortcomings-got a hold of your calculus workbook and went bananas with his ink pen, illuminating everything you find confusing! He was even kind enough to write legibly! No longer will befuddled students cry out in frustration- "Where the %#*! did that number come from?" or "Did they skip steps in this answer or am I just dumb?".
Call Number: QA303.2 .K453 2006 (Cecil, Deerwood)
Publication Date: 2007-01-02
CliffsQuickReview Calculus by Cliffs Notes Staff (Contribution by); Jonathan J. White; Bernard V. Zandy[NOT AVAILABLE 9/27/21] CliffsQuickReview course guides cover the essentials of your toughest subjects. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. Whether you're new to limits, derivatives, and integrals or just brushing up on your knowledge of the subject,CliffsQuickReview Calculus can help. This guide covers calculus topics such as limits at infinity, differential rules, and integration by parts. You'll also tackle other concepts, including Differentiation of inverse trigonometric functions Distance, velocity, and acceleration Volumes of solids with known cross sections Extreme value theorem Concavity and points of inflection CliffsQuickReview Calculus acts as a supplement to your other learning materials. Use this reference in any way that fits your personal style for study and review — you decide what works best with your needs. You can flip through the book until you find what you're looking for — it's organized to gradually build on key concepts. Here are just a few other ways you can search for topics: Use the free Pocket Guide full of essential information. Get a glimpse of what you’ll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapter. Use the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to know. Test your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource Center. Tap the glossary to find key terms fast. With titles available for all the most popular high school and college courses, CliffsQuickReview guides are comprehensive resources that can help you get the best possible grades.
Call Number: QA303.3 .Z36 2001 (Deerwood)
Publication Date: 2001-06-01
Calculus Deconstructed by Zbigniew H. NiteckiCalculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a ""bridge course"" using basica analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject. No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.
Call Number: QA300 .N58 2009 (Kent)
Publication Date: 2009-12-31
Differential Equations for Dummies by Steven HolznerThe fun and easy way to understand and solve complexequations Many of the fundamental laws of physics, chemistry, biology, andeconomics can be formulated as differential equations. Thisplain-English guide explores the many applications of thismathematical tool and shows how differential equations can help usunderstand the world around us. Differential Equations ForDummies is the perfect companion for a college differentialequations course and is an ideal supplemental resource for othercalculus classes as well as science and engineering courses. Itoffers step-by-step techniques, practical tips, numerous exercises,and clear, concise examples to help readers improve theirdifferential equation-solving skills and boost their testscores.
Calculus problems with detailed, solutions. It's calculus done the old-fashioned way - one problem at a time, one easy-to-follow step at a time, with problems ranging in difficulty from easy to challenging.
This site provides an overview of the key topics and ideas of calculus and how they apply to real-life situations and problems. In addition to the videos, there are summary slides and practice problems complete with an audio narration by Professor Strang. You can find these files under the Related Resources tab on each video page.