{"product_id":"the-essential-calculus-workbook-limits-and-derivatives-9781937842437","title":"The Essential Calculus Workbook: Limits and Derivatives","description":"\u003ch2\u003eMaster Calculus Through Problem-Solving\u003c\/h2\u003e\n\n\u003cp\u003eThis calculus workbook takes a different approach to learning limits and derivatives. Instead of repetitive drills and timed tests, author Tim Hill focuses on building genuine mathematical understanding through carefully structured problems that develop your number sense and problem-solving intuition.\u003c\/p\u003e\n\n\u003ch2\u003eHow This Workbook Works\u003c\/h2\u003e\n\n\u003cp\u003eThe Essential Calculus Workbook treats calculus as a problem-solving art requiring insight and intuitive understanding. Problems build gradually in difficulty with minimal repetition, allowing you to work at your own pace without speed pressure or anxiety. If you encounter a challenge, flip back a few pages for hints or memory refreshers.\u003c\/p\u003e\n\n\u003cul\u003e\n\u003cli\u003eSolutions to basic problems are steeped in the fundamentals, including notation, terminology, definitions, theories, proofs, physical laws, and related concepts.\u003c\/li\u003e\n\u003cli\u003eAdvanced problems explore variations, tricks, subtleties, and real-world applications.\u003c\/li\u003e\n\u003cli\u003eProblems build gradually in difficulty with little repetition. If you get stuck, then flip back a few pages for a hint or to jog your memory.\u003c\/li\u003e\n\u003cli\u003eNumerous pictures depicting mathematical facts help you connect visual and symbolic representations of numbers and concepts.\u003c\/li\u003e\n\u003cli\u003eTreats calculus as a problem-solving art requiring insight and intuitive understanding, not as a branch of logic requiring careful deductive reasoning.\u003c\/li\u003e\n\u003cli\u003eDiscards the common and damaging misconception that fast students are strong students. Good students aren't particularly fast with numbers because they think deeply and carefully about mathematics.\u003c\/li\u003e\n\u003cli\u003eDetailed solutions and capsule reviews greatly reduce the need to cross reference a comprehensive calculus textbook.\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003eTopics Covered\u003c\/h2\u003e\n\n\u003cp\u003eThe tangent line. Delta notation. The derivative of a function. Differentiable functions. Leibniz notation. Average and instantaneous velocity. Speed. Projectile paths. Rates of change. Acceleration. Marginal cost. Limits. Epsilon-delta definition. Limit laws. Trigonometric limits. Continuity. Continuous functions. The Mean Value Theorem. The Extreme Value Theorem. The Intermediate Value Theorem. Fermat's theorem.\u003c\/p\u003e\n\n\u003ch2\u003ePrerequisites and Contents\u003c\/h2\u003e\n\n\u003cp\u003e\u003cstrong\u003ePrerequisite mathematics:\u003c\/strong\u003e Elementary algebra. Real numbers. Functions. Graphs. Trigonometry.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eContents\u003c\/strong\u003e\u003cbr\u003e1. The Slope of the Tangent Line\u003cbr\u003e2. The Definition of the Derivative\u003cbr\u003e3. Velocity and Rates of Change\u003cbr\u003e4. Limits\u003cbr\u003e5. Continuous Functions\u003c\/p\u003e\n\n\u003ch2\u003eAbout the Author\u003c\/h2\u003e\n\n\u003cp\u003eTim Hill is a statistician living in Boulder, Colorado. He holds degrees in mathematics and statistics from Stanford University and the University of Colorado. Tim has written guides for calculus, trigonometry, algebra, geometry, precalculus, permutations and combinations, and Excel pivot tables. When he's not crunching numbers, Tim climbs rocks, hikes canyons, and avoids malls.\u003c\/p\u003e","brand":"Questing Vole Press","offers":[{"title":"Default Title","offer_id":50493238116626,"sku":"9781937842437","price":9.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_84eef6e9-f85a-4051-8eb5-f39d0ffceb78.jpg?v=1730639533","url":"https:\/\/surprise-castle.myshopify.com\/products\/the-essential-calculus-workbook-limits-and-derivatives-9781937842437","provider":"Surprise Castle","version":"1.0","type":"link"}