Written by acclaimed author and mathematician George Simmons, this revision is designed for the calculus course offered in two and four year colleges and universities. It takes an intuitive approach to calculus and focuses on the application of methods to real-world problems. Throughout the text, calculus is treated as a problem solving science of immense capability. He taught at several colleges and universities before joining the faculty of Colorado college in , where he is a professor of mathematics. He is also the author of introduction to topology and Modern Analysis, Precalculus Mathematics in a Nutshell and calculus with Analytic Geometry.
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Lectures Video. Textbook MIT Simmons, George F. Calculus with Analytic Geometry. ISBN: Supplementary notes 1 Graphing functions 3. Supplementary notes 2 Continuity and discontinuity 4. Supplementary notes 3 Exponentials and logarithms 5. Supplementary notes 4 Approximation 6. Supplementary notes 5 Mean-value theorem 7. Supplementary notes 6 Properties of definite integrals 8. Supplementary notes 7 The second fundamental theorem of calculus 9. Supplementary notes 8 Average value Supplementary notes 9 Heaviside's cover-up method Supplementary notes 10 Improper integrals Exercises for sections File size: 2.
Solutions to exercises for sections File size: 4. Review problems and solutions Course Material 1. Assignments MIT Education For All www. Move Close. Text size. Mathematics Architecture Interdisciplinary. Lectures Video 1. Derivatives 2. Trigonometric limits 3. Derivatives of products, quotients, sine, cosine 4. Chain rule 5.
Implicit differentiation 6. Exponential and log 7. Hyperbolic functions 9. Linear and quadratic approximations Curve sketching Max-min problems Related Rates Newton's method Mean value theorem Differentials, antiderivatives Differential equations, separation of variables Definite integrals First fundamental theorem of calculus Second fundamental theorem Applications to logarithms and geometry Volumes by disks and shells Work, average value, probability Numerical integration Review Trigonometric integrals and substitution Integration by inverse substitution Partial fractions Integration by parts, reduction formulae Parametric equations Polar coordinates Review II Indeterminate forms Improper integrals Infinite series and convergence tests Taylor's series Final review.
Calculus I Course Summary This course is based on
ISBN 13: 9780070576421
Lectures Video. Textbook MIT Simmons, George F. Calculus with Analytic Geometry.
Calculus with Analytic Geometry
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