Calculus

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CLP-3 Multivariable Calculus (Feldman, Rechnitzer, and Yeager) This textbook covers multivariable Calculus. There are chapters on vectors and geometry in 2 and 3 dimensions, partial derivatives, and multivariable integrals. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green’s Theorem. Curl and Divergence. Parametric Surfaces and Their Areas. Surface Integrals. Stokes’ Theorem. The Divergence Theorem. Summary. Review. Problems Plus. For those who wishes to learn advanced calculus, however, perhaps there is a need to peruse another text because in a way this text is not very close to real analysis; it is a broad text in terms of topic but the depth is not that much, though it does make an effort by not eliminating crucial proofs and explanations.

STEM APPLICATIONS: Stewart/Clegg/Watson answers the question, "When will I use this?" by showing how Calculus is used as a problem-solving tool in fields such as physics, engineering, chemistry, biology, medicine, and the social sciences. The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He conducted research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Dr. Stewart most recently served as a professor of mathematics at McMaster University, and his research focused on harmonic analysis. Dr. Stewart authored a best-selling calculus textbook series, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS and CALCULUS: CONCEPTS AND CONTEXTS as well as a series of successful precalculus texts. CLP-1 Differential Calculus (Feldman, Rechnitzer, and Yeager) This textbook covers single variable Differential Calculus. CLEAR EXPOSITION: Dan Clegg and Saleem Watson have remained true to James Stewart's writing style speaking clearly and directly to students, guiding them through key ideas, theorems and problem-solving steps, and encouraging them to think as they read and learn calculus. Three-Dimensional Coordinate Systems. Vectors. Discovery Project: The Shape of a Hanging Chain. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Discovery Project: Putting 3D in Perspective. Cylinders and Quadric Surfaces. Review. Problems Plus.Calculus (Guichard) This general calculus book covers a fairly standard course sequence: single variable calculus, infinite series, and multivariable calculus. Differential Calculus for the Life Sciences (Edelstein-Keshet) Calculus arose as a tool for solving practical scientific problems through the centuries. However, it is often taught as a technical subject with rules and formulas (and occasionally theorems), devoid of its connection to applications. In this course, the applications form an important focal point, with emphasis on life sciences. This places the techniques and concepts into practical context, as well as motivating quantitative approaches to biology taught to undergraduates. Vector Calculus (Corral) The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus. Vector calculus is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space. The content in this Textmap is complemented by Vector Calculus Modules in the Core and the Vector Calculus (UCD Mat 21D) Libretext. Areas Between Curves. Applied Project: The Gini Index. Volumes. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Calculus and Baseball. Review. Problems Plus.

Inverse Functions. Instructors may cover either Sections 6.2–6.4 or Sections 6.2*–6.4*. Exponential Functions and Their Derivatives. Logarithmic Functions. Derivatives of Logarithmic Functions. The Natural Logarithmic Function. The Natural Exponential Function. General Logarithmic and Exponential Functions. Exponential Growth and Decay. Applied Project: Controlling Red Blood Cell Loss During Surgery. Inverse Trigonometric Functions. Applied Project: Where to Sit at the Movies. Hyperbolic Functions. Indeterminate Forms and l’Hospital’s Rule. Writing Project: The Origins of l’Hospital’s Rule. Review. Problems Plus. Curves Defined by Parametric Equations. Discovery Project: Running Circles Around Circles. Calculus with Parametric Curves. Discovery Project: Bézier Curves. Polar Coordinates. Discovery Project: Families of Polar Curves. Calculus in Polar Coordinates. Conic Sections. Conic Sections in Polar Coordinates. Review. Problems Plus. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler’s Laws. Review. Problems Plus.ENGAGING PROJECTS: A wealth of engaging projects reinforce concepts. "Writing Projects" ask students to compare present-day methods with those of the founders of calculus. "Discovery Projects" anticipate results to be discussed later. "Applied Projects" feature real-world use of mathematics. "Laboratory Projects" anticipate results to be discussed later or encourage discovery through pattern recognition. Informal Calculus with Applications to Biological and Environmental Sciences (Seacrest) This book is an approachable introduction to calculus with applications to biology and environmental science. The text focuses on intuitive understanding of concepts, but still covers most of the algebra and calculations common in a survey of calculus course.

Despite these gripes, it got the job done and I have seen much worse textbooks. Like I previously stated, when it works, it works well. Using alternative resources together with it made my experience much, much better.

TLDR: If you are a student, you're probably required to get this, so just buy it because it'll last you through most of the calculus classes that you'll be taking unless you pursue even more advanced math. Anyone who is buying this should definitely use this in conjunction with other resources which I'll mention at the bottom. If you are a self-study with no professor to reach out to looking for an all-in-one resource, I recommend staying away from this textbook. Honestly, the resources I'll recommend at the bottom are probably sufficient for pretty much anyone interested in basic calculus. I'm attending a university and we are using a textbook from another author (Calculus 2nd Edition by Briggs, Cochran, and Gillet). The book I am using for school that is required is not that great because it is written as if you know your math pretty well. What I mean is, you are suppose to know formulas you might have not seen before. With Stewart he explains where you get the formulas from.

Numbers, Inequalities, and Absolute Values. Coordinate Geometry and Lines. Graphs of Second-Degree Equations. Trigonometry. Sigma Notation. Proofs of Theorems. Answers to Odd-Numbered Exercises. In short, this says, we have integral of a function over a domain. This is equal to antiderivative on boundary of domain.

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urn:lcp:calculus0000stew_k4y8:epub:6ede8131-ec88-4fa2-9b8d-de7ed7f8f651 Foldoutcount 0 Identifier calculus0000stew_k4y8 Identifier-ark ark:/13960/s2r1k555vj6 Invoice 1652 Isbn 9781285740621 Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Continuity. Review. Principles of Problem Solving.