![]() There are some creative(good) exercises here, but if you take into consideration the large amount of problems you will conclude that there could/should be much more of them. ![]() I like how the exercises go from very easy and gradually escalate to hard. Now, the problems are much more difficult than the examples the examples are there to make sure that you got the main point of each subject. Insights are gained through the MANY problems. Having said that, I must also say that everything that the author tries to cover are as clear as it could be. While everything in this chapter were clear(and the many illustrations helped a great deal in this), the author rarely goes the extra step to provide a deep insight. The are examples that make sure that you know the basics of every thing that the author tries to teach you. ![]() This chapter is considered an easy one an introduction. In the first chapter, I will give this a 4-star rating. That's great! Check the chapter-specific mini-reviews for stuff I did or did not like. When there is no proof for something, the author provides motivation for it. It's as rigorous as a non-mathematician would like it to be. The book isn't rigorous in a way that would satisfy a mathematician, but for me-a physicist-it's ideal. There also a lot of helpful illustrations. Lot's of examples and problems and the answers to half of them are very useful. On the whole book(I will edit this as I go on):Įverything is explained in a very clear way. "I am going to provide a review of this book while I am going through it I will edit each time I go through one chapter. So, I will not be reading this book anymore. 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.While I intended to read all of it, after finishing with chapter 2, I found Colley's "Vector Calculus" to be much better than this. 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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