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Calculus for dummies
\"If the thought of studying calculus makes you sweat, relax and fret no more! This hands-on, friendly guide makes calculus manageable. It leads you step-by-step through each concept, operation, and solution, explaining the 'how' and 'why' in plain English. Through detailed instruction and practical examples, you'll soon discover that calculus isn't nearly as bad as it's made out to be!\"--Back cover.
Book
Solutions manual to accompany Fundamentals of calculus
A solutions manual to accompany Fundamentals of Calculus Fundamentals of Calculus illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the \"mathematics of change,\" each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions Integral Calculus The Derivative Integrations Techniques Using the Derivative Functions of Several Variables Exponents and Logarithms Series and Summations Differentiation Techniques Applications to Probability.
eBook
Counterexamples in Calculus
Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus. Counterexamples aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus. In that light it may well be useful for: high school teachers and university faculty as a teaching resource; high school and college students as a learning resource;and as a professional development resource for calculus instructors.
eBook
Calculus simplified
\"Calculus is a beautiful subject that most of us learn from professors, textbooks, or supplementary texts. Each of these resources has strengths but also weaknesses. In Calculus Simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a \"Goldilocks approach\" to learning calculus: just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure. Fernandez begins by offering an intuitive introduction to the three key ideas in calculus -- limits, derivatives, and integrals. The mathematical details of each of these pillars of calculus are then covered in subsequent chapters, which are organized into mini-lessons on topics found in a college-level calculus course. Each mini-lesson focuses first on developing the intuition behind calculus and then on conceptual and computational mastery. Nearly 200 solved examples and more than 300 exercises allow for ample opportunities to practice calculus. And additional resources -- including video tutorials and interactive graphs - are available on the book's website. Calculus Simplified also gives you the option of personalizing your calculus journey. For example, you can learn all of calculus with zero knowledge of exponential, logarithmic, and trigonometric functions -- these are discussed at the end of each mini-lesson. You can also opt for a more in-depth understanding of topics -- chapter appendices provide additional insights and detail. Finally, an additional appendix explores more in-depth real-world applications of calculus. Learning calculus should be an exciting voyage, not a daunting task. Calculus Simplified gives you the freedom to choose your calculus experience, and the right support to help you conquer the subject with confidence. An accessible, intuitive introduction to first-semester calculus. Nearly 200 solved problems and more than 300 exercises (all with answers)-No prior knowledge of exponential, logarithmic, or trigonometric functions required-Additional online resources - video tutorials and supplementary exercises provided\"--Provided by publisher..
Book
Calculus deconstructed : a second course in first-year calculus
Calculus 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 basic 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.
eBook
