The text is structured in a way that anticipates potential updates and allows for them to be seamlessly integrated without requiring a complete overhaul of the entire book. Moreover, the author's thoughtful approach to organizing the material means that updates can be easily incorporated without disrupting the flow of the text. Rather than relying on fleeting trends or passing fads, the author has focused on presenting foundational concepts that are likely to remain relevant for years to come. The content presented in the text is not only current, but has been carefully curated in a way that ensures its relevance and usefulness for the foreseeable future. The author's attention to detail and clear explanations ensure that even complex concepts are presented in a way that is accessible to all readers.įrom the best of my knowledge while reading the book, I didn't see any numerical or logical inconsistency. Every detail is carefully analyzed and explained, making it easy for the reader to follow along and truly grasp the concepts. The treatment of integrals in the textbook is similarly impressive. ![]() This approach also greatly enhances the understanding of derivatives, as it allows the reader to see how they relate to infinitesimals and the broader context of calculus. By starting with these fundamental concepts, the reader is able to gain a deep and intuitive understanding of the subject matter. The approach taken by the textbook to begin with infinitesimals is truly commendable. Reviewed by Esteban Diaz, Assistant Professor of Instruction, University of Texas at Arlington on 4/5/23 Journalism, Media Studies & Communications +.The videos, which include real-life examples to illustrate the concepts, are ideal for high school students, college students, and anyone interested in learning the basics of calculus.Ġ.1 Distance and Speed // Height and SlopeĠ.2 The Changing Slope of \(y=x^2\) and \(y=x^n\)Ġ.4 Video Summaries and Practice ProblemsĬhapter 1: Introduction to Calculus (PDF)Ģ.5 The Product and Quotient and Power RulesĬhapter 3: Applications of the Derivative (PDF)ģ.3 Second Derivatives: Bending and Accelerationģ.8 The Mean Value Theorem and 1’Hôpital’s RuleĬhapter 4: Derivatives by the Chain Rule (PDF)Ĥ.2 Implicit Differentiation and Related RatesĤ.3 Inverse Functions and Their Derivativesĥ.4 Indefinite Integrals and Substitutionsĥ.6 Properties of the Integral and Average Valueĥ.7 The Fundamental Theorem and Its ApplicationsĬhapter 6: Exponentials and Logarithms (PDF)Ħ.3 Growth and Decay in Science and EconomicsĦ.5 Separable Equations Including the Logistic EquationĬhapter 7: Techniques of Integration (PDF)Ĭhapter 8: Applications of the Integral (PDF)Ĭhapter 9: Polar Coordinates and Complex Numbers (PDF)ĩ.3 Slope, Length, and Area for Polar Curvesġ0.4 The Taylor Series for \(e^x\), \(\sin\)ġ2.2 Plane Motion: Projectiles and Cycloidsġ2.4 Polar Coordinates and Planetary Motionġ3.3 Tangent Planes and Linear Approximationsġ3.4 Directional Derivatives and Gradientsġ3.7 Constraints and Lagrange Multipliersġ4. MIT Professor Gilbert Strang has created a series of videos to show ways in which calculus is important in our lives. The complete textbook (PDF) is also available as a single file. ![]() There is also an online Instructor’s Manual and a student Study Guide. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. ![]() ![]() First published in 1991 by Wellesley-Cambridge Press, this updated 3rd edition of the book is a useful resource for educators and self-learners alike.
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