![]() NOTES: Several notes are boxed to describe important points, common mistakes, and exceptions. ![]() #Calculus for physics 101 how to#Examples illustrate how to carry out all of the problem-solving strategies. PROBLEM-SOLVING STRATEGIES: All of the main problem-solving strategies like projectile motion, applying Newtons second law, or conserving energy are highlighted and described step-by-step and in detail. An underlying idea is that students should not guess at concepts, but that concepts are mathematically motivated: Let the equations be your guide. MATHEMATICAL & CONCEPTUAL EMPHASIS: There is much emphasis both on learning the mathematics precisely and understanding the concepts at a deep, precise level. Examples and problem-solving strategies clearly stand out from discussions of concepts. There is also a handy index to help locate concepts quickly. CONCISE OUTLINE FORMAT: The text is conveniently organized by specific topic to help students who may not be reading straight through, but who may be searching for a specific idea or who may be reviewing material that they read previously. some equations only apply if acceleration is uniform or if mass is constant). The equations in the text (but not on the cover) also include notes to help students understand any limitations that the equations may have (e.g. TABLE OF EQUATIONS: There is a handy table of equations organized by topic on the back cover of the textbook. IMPORTANT DISTINCTIONS: Boxes of important distinctions are included in order to help students distinguish between similar concepts like average speed and average velocity, between velocity and acceleration, or between mass and weight. This is not done in an introductory chapter or an appendix, but in the main text as these ideas first become useful. The textbook also reviews some Calculus I skills which students often forget, such as the mean-value theorem, lHopitals rule, and the chain rule. COREQUISITES: The textbook teaches Calculus II skills as needed, such as the technique of integrating via trigonometric substitution. The student should be familiar with the basic techniques of differentiation and integration, including polynomials and trig functions, and should be fluent in algebra and familiar with the basic trig functions. ![]() PREREQUISITES: No previous exposure to physics is assumed. It could also serve as a useful reference for physics and engineering students who have gone beyond the first year of physics, but who would like to review the fundamentals as they explore more advanced fields of physics. AUDIENCE: This calculus-based physics textbook is geared toward independent learners who can handle the rigors of calculus and who seek to develop a strong introduction to the fundamentals of physics, both mathematically and conceptually. CONTENTS: This textbook covers the mechanics portion of first-semester calculus-based physics. ![]()
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