Simmons, George F. Calculus with Analytic Geometry. Calculus 1. Not currently available to OCW users. Prerequisites There is no course at MIT which is a prerequisite for this course.
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The prerequisites are high school algebra and trigonometry. Students may also receive credit for Description This introductory Calculus course covers differentiation and integration of functions of one variable, with applications. Apply differentiation to solve related rates problems. Evaluate integrals both by using Riemann sums and by using the Fundamental Theorem of Calculus.
Apply integration to compute arc lengths, volumes of revolution and surface areas of revolution. Evaluate integrals using advanced techniques of integration, such as inverse substitution, partial fractions and integration by parts. Find the Taylor series expansion of a function near a point. Textbook Simmons, George F. Calculus with Analytic Geometry.
ISBN: Calculus 1. Not available to OCW users. Homework and Exams There will be 8 problem sets. There will be 5 in-class exams during the lecture hour. There will also be a three-hour final exam during finals week. The in-class exams and the final exam are closed book and calculators are not allowed. You will be allowed to use both sides of a 4" x 6" index card.
ISBN 13: 9780070576421
Format Students will need both the course textbook Simmons, George F. Calculus with Analytic Geometry. Calculus 1 to complete the assigned problem sets. The course reader is where to find the exercises labeled 1A, 1B, etc. Problem sets have two parts, I and II Part I consists of exercises given in the course reader and solved in section S of the course reader. It will be graded quickly, checking that all is there and the solutions not copied. Part II consists of problems for which solutions are not given; it is worth more points.
Simmons - Calculus With Analytic Geometry
Calculus With Analytic Geometry 2nd Edition