Sign-In
Cart
The Essential Calculus Workbook: Limits and Derivatives
Paperback
ISBN13: 9781937842437
Publisher: Questing Vole Pr
Published: Jul 7 2019
Pages: 66
Weight: 0.29
Height: 0.14 Width: 7.00 Depth: 10.00
Language: English
Ready to step up your game in calculus? This workbook isn't the usual parade of repetitive questions and answers. Author Tim Hill's approach lets you work on problems you enjoy, rather than through exercises and drills you fear, without the speed pressure, timed testing, and rote memorization that damage your experience of mathematics. Working through varied problems in this anxiety-free way helps you develop an understanding of numerical relations apart from the catalog of mathematical facts that's often stressed in classrooms and households. This number sense, common in high-achieving students, lets you apply and combine concepts, methods, and numbers flexibly, without relying on distant memories.
- Solutions to basic problems are steeped in the fundamentals, including notation, terminology, definitions, theories, proofs, physical laws, and related concepts.
- Advanced problems explore variations, tricks, subtleties, and real-world applications.
- Problems 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.
- Numerous pictures depicting mathematical facts help you connect visual and symbolic representations of numbers and concepts.
- Treats calculus as a problem-solving art requiring insight and intuitive understanding, not as a branch of logic requiring careful deductive reasoning.
- Discards 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.
- Detailed solutions and capsule reviews greatly reduce the need to cross reference a comprehensive calculus textbook.
Topics covered: The 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.
Prerequisite mathematics: Elementary algebra. Real numbers. Functions. Graphs. Trigonometry.
Contents
1. The Slope of the Tangent Line
2. The Definition of the Derivative
3. Velocity and Rates of Change
4. Limits
5. Continuous Functions
About the Author
Tim 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.
1 different editions
Also available
Also in
Calculus
AP Calculus Premium, 2027: Prep Book with 12 Practice Tests + Comprehensive Review + Online Practice (Barron's AP Prep)
Donovan, Dennis, M. S.
Bock, David
Hockett, Shirley O.
Paperback
Princeton Review AP Calculus AB Premium Prep, 13th Edition: 8 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Khan, David
Paperback
5 Steps to a 5: AP Calculus AB 2027: Practice AP Tests + AP Content Review + Digital Exams
Pillar, Emily
Paperback
Princeton Review AP Calculus BC Premium Prep, 13th Edition: 5 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Khan, David
Paperback
Princeton Review AP Calculus BC Premium Prep, 12th Edition: 5 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Khan, David
Paperback
Princeton Review AP Calculus AB Premium Prep, 12th Edition: 8 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Khan, David
Paperback
Make: Physics: Build Projects to Explore Calculus-Based Mechanics
Horvath, Joan
Cameron, Rich
Paperback
Ordinary Differential Equations: An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences
Pollard, Harry
Tenenbaum, Morris
Paperback
Math education workbook: Daily Mathematics Practice Exercises Maths book level 1 for 3rd 4th 5th... Grades with Addition, Subtraction, Multipli
Homeschooling Book, Math
Paperback
Calculus Made Easy: Being a Very-Simplest Introduction to Those Beautiful Methods of Reckoning Which Are Generally Called by the Terrifying Names of t
Thompson, Silvanus Phillips
Paperback
Integral, Measure and Derivative: A Unified Approach
Gurevich, B. L.
Mathematics
Shilov, G. E.
Paperback
Math for Programmers: 3D Graphics, Machine Learning, and Simulations with Python
Orland, Paul
Paperback
Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems
Spiegel, Murray R.
Paperback
Mathematics: Its Content, Methods and Meaning
Aleksandrov, A. D.
Kolmogorov, A. N.
Lavrent'ev, M. a.
Paperback
How to Ace the Rest of Calculus: The Streetwise Guide, Including Multivariable Calculus
Hass, Joel
Adams, Colin
Thompson, Abigail
Paperback
MIT Integration Bee, Solutions of Qualifying Tests from 2010 to 2023: 249 pages, 15 chapters.
Alkousa, Mohammad
Paperback
Math for Deep Learning: What You Need to Know to Understand Neural Networks
Kneusel, Ronald T.
Paperback
Math education workbook: Daily Mathematics Practice Exercises Maths book level 2 for 3rd 4th 5th... Grades with Addition, Subtraction, Multipli
Homeschooling Book, Math
Paperback
Pre-Calculus: 1001 Practice Problems for Dummies (+ Free Online Practice)
Sterling, Mary Jane
Paperback
A History of Vector Analysis: The Evolution of the Idea of a Vectorial System
Crowe, Michael J.
Paperback
Elements of the Theory of Functions and Functional Analysis [Two Volumes in One]
Fomin, S. V.
Kolmogorov, A. N.
Paperback
Methods of the Theory of Functions of Many Complex Variables
Vladimirov, Vasiliy Sergeyevich
Paperback
Schaum's Outline of Complex Variables, 2ed
Spiegel, Murray R.
Lipschutz, Seymour
Schiller, John J.
Paperback
Math education workbook: Math education workbook: Daily Mathematics Practice Exercises Maths book level 3 for 3rd 4th 5th... Grades with Additi
Homeschooling Book, Math
Paperback
Introduction to Calculus Book 1: Practice Workbook with worked examples and practice problems
Frey, Nathan
Paperback
The Calculus Diaries: How Math Can Help You Lose Weight, Win in Vegas, and Survive a Zombie Apocalypse
Ouellette, Jennifer
Paperback
Machine Learning Brick by Brick, Epoch 1: Using LEGO(R) to Teach Concepts, Algorithms, and Data Structures
Vostokov, Dmitry
Paperback
Calculus Made Easy: A Beginner-Friendly Guide to Mathematical Concepts and Problem Solving
Layla, Nora
Paperback
The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time
Bardi, Jason Socrates
Paperback
Foundations of Analysis: The Arithmetic of Whole, Rational, Irrational and Complex Numbers
Landau, Edmund
Paperback
High School Calculus: A New Perspective: For Any High School Curriculum, Including IB, A-Level, AP, and More
Seeds, Spring
Paperback
Teach (Test) yourself...Introduction to Calculus: Theory and Tests with Step by Step Solutions
Sincraian, Marcel
Paperback
Lectures on Selected Topics in Mathematical Physics: Elliptic Functions and Elliptic Integrals
Schwalm, William a.
Paperback
5 Steps to a 5: 500 AP Calculus Ab/BC Questions to Know by Test Day, Fourth Edition
Anaxos Inc Na
Paperback
Calculus in 5 Hours: Concepts Revealed so You Don't Have to Sit Through a Semester of Lectures
Jarecke, Dennis
Paperback
Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus
Spivak, Michael
Paperback
Single Variable Calculus: Early Transcendentals
Stewart, James
Watson, Saleem
Clegg, Daniel K.
Hardcover
Measures on Topological Semi-Groups: Convolution Products and Random Walks
Mukherjea, Arunava
Mukherjea, A.
Tserpes, N. a.
Hardcover
Vorlesungen über die Theorie der automorphen Functionen; Volume 1
Fricke, Robert
Klein, Félix
Paperback