Calculus

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Every concept is supported by thoughtfully worked examples—many with step-by-step explanations—and carefully chosen exercises. The quality of this pedagogical system is what sets Stewart's texts above others. 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 the summer of 2013, Stewart was diagnosed with multiple myeloma, a blood cancer. [6] He died on December 3, 2014, aged 73. [7] Honours [ edit ] Daniel Clegg received his B.A. in Mathematics from California State University, Fullerton and his M.A. in Mathematics from UCLA. He is currently a professor of mathematics at Palomar College near San Diego, California, where he has taught for more than 20 years. Clegg co-authored BRIEF APPLIED CALCULUS with James Stewart and also assisted Stewart with various aspects of his calculus texts and ancillaries for almost 20 years. So, if they put all the ODE material into a single chapter that would be wonderful. The truly missed opportunity at the end of Multivariable Calculus is that the student is equipped to study some of the lower level Partial Differential Equations (PDEs) that are out there. Such as just finding characteristic equations and such would be a huge boost to the students. PDE books notoriously don't write out step by step examples, but Stewart could have put them in at this location and doing a few basic problems.

If you want to do mathematics the right way, you need to put pen to paper, this is unavoidable. It is not enough to read these texts like a novel, as any mathematician will tell you. You, truly, can only learn it by doing it and I don't really care how much of a genius someone is, they are still human and will need to do this at some point. One of the complaints one of my colleagues had about the text was that the problem sets in Stewart were too easy, so that was one of the major justifications for using Thomas, despite the exposition being sub par in my opinion. I am happy to report that the 8th Edition seems to be rather different from the 2nd edition that I remember working in. The 8th Edition has definitely cranked up the difficulty level on the problem sets, in some ways this was detrimental to later sections of the text. (It's the one criticism I have of the text, but I will get into that later). This increased challenge factor to the problems has truly launched this book into the flagship Calculus book category for me. Modeling with Differential Equations. Direction Fields and Euler’s Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Models for Population Growth. Linear Equations. Applied Project: Which Is Faster, Going Up or Coming Down? Predator-Prey Systems. Review. Problems Plus.

Who We Are.

He worked as a postdoctoral fellow at the University of London, where his research focused on harmonic and functional analysis. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best calculus textbook series published by Cengage Learning, including Calculus, Calculus: Early Transcendentals and Calculus: Concepts and Contexts, as well as a series of precalculus texts. Stewart was gay and involved in LGBT activism. According to Joseph Clement, a documentary filmmaker who is working on a film about Stewart and Integral House, Stewart brought gay rights activist George Hislop to speak at McMaster in the early 1970s, when the LGBT liberation movement was in its infancy, and was involved in protests and demonstrations. [2] Death [ edit ] PROBLEM-SOLVING EMPHASIS: George Polya’s problem-solving methodology is introduced at the beginning and reinforced throughout. "Strategies" sections help students select what techniques they'll need to solve problems in situations where the choice is not obvious and help them develop true problem-solving skills and intuition. 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. 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.

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. 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. He received his M. S. (master of science) at Stanford University and his Ph.D. (doctor of philosophy) from the University of Toronto. a b "The many parts of James Stewart". The Daily Xtra. Archived from the original on December 13, 2014.Double Integrals over Rectangles. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical Coordinates. Discovery Project: The Intersection of Three Cylinders. Triple Integrals in Spherical Coordinates. Applied Project: Roller Derby. Change of Variables in Multiple Integrals. Review. Problems Plus. Stewart's writing style speaks 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.