Mathematics Department CSU CSUB Stiern Library Raczkowski 

Calculus I

 

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It is the first of four courses in the calculus sequence. This course is an introduction to the differential calculus of elementary functions such as polynomial, rational, logarithmic, exponential, and trigonometric functions. Emphasis is on limits, continuity, and differentiation. The course includes applications of differentiation that include curve sketching, optimization, and related rates.

 

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Course Objectives:

(1) Learn the concept of limits. Use graphical and numerical methods to identify situations where limits may not exist. Apply algebraic methods to evaluate limits.

(2) Introduction to the concept of continuity using limits.

(3) Study of the derivative from the limit definition. Understand the geometric meaning of the derivative. Interpret the derivative as a rate of change.

(4) Learn the derivatives of basic functions, including trigonometric, logarithmic and exponential functions.

(5) Learn the rules of differentiation, including the chain rule and implicit differentiation.

(6) Applications of the derivative in linear approximation, rates of change, graphing functions, optimization problems, roots of functions through Newtonís method, and LíHŰpitalís Rule.

(7) Introduction to the concept of antiderivatives.

 

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Textbook informationCalculus, Concepts and Contexts, by J. Stewart, fourth edition, ISBN 0-495-55742-0

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Syllabus for Fall 2012

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We will go over: Chapter 1: Section 7. Chapter 2: All. Chapter 3: Sections 1-7 and 9. Chapter 4: Sections 1-3 and 5-8. Total: 24 Sections.

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Homework for Fall 2012: Solve all odd problems from the sections listed above.