Single Variable Calculus: Concepts and Contexts (Stewart's by James Stewart

By James Stewart

Stewart's CALCULUS: ideas AND CONTEXTS, FOURTH variation bargains a streamlined method of educating calculus, concentrating on significant thoughts and helping people with certain definitions, sufferer factors, and thoroughly graded difficulties. CALCULUS: techniques AND CONTEXTS is extremely appeared simply because this article deals a stability of thought and conceptual paintings to fulfill extra innovative courses in addition to those people who are more well-off instructing in a extra conventional model. each one name is only one part in a entire calculus path software that rigorously integrates and coordinates print, media, and expertise items for profitable instructing and studying.

Show description

Read Online or Download Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) PDF

Similar elementary books

Introduction to the History of Mathematics

This vintage best-seller through a widely known writer introduces arithmetic heritage to math and math schooling majors. steered essay themes and challenge stories problem scholars. CULTURAL CONNECTIONS sections clarify the time and tradition during which arithmetic constructed and developed. pics of mathematicians and fabric on girls in arithmetic are of distinctive curiosity.

Fourier Series in Orthogonal Polynomials

A dialogue of the constitution of linear semigroups, that's, subsemigroups of the multiplicative semigroup Mn(K) of n x n matrices over a box ok (or, extra usually, skew linear semigroups - if ok is permitted to be a department ring) and its functions to definite difficulties on associative algebras, semigroups and linear representations.

Additional info for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series)

Sample text

1 2 FIGURE 11 1 4 1 8 1 16 Of course, we know that the man can actually reach the wall, so this suggests that perhaps the total distance can be expressed as the sum of infinitely many smaller distances as follows: 3 1෇ 1 1 1 1 1 ϩ ϩ ϩ ϩ иии ϩ n ϩ иии 2 4 8 16 2 A PREVIEW OF CALCULUS 9 Zeno was arguing that it doesn’t make sense to add infinitely many numbers together. But there are other situations in which we implicitly use infinite sums. 3333 . . d1 d2 d3 d4 . . ෇ d1 d2 d3 dn ϩ 2 ϩ 3 ϩ иии ϩ n ϩ иии 10 10 10 10 Therefore some infinite sums, or infinite series as they are called, have a meaning.

5 ft͞s Similarly, the average velocity in the time interval 2 ഛ t ഛ 3 is average velocity ෇ 24 Ϫ 9 ෇ 15 ft͞s 3Ϫ2 We have the feeling that the velocity at the instant t ෇ 2 can’t be much different from the average velocity during a short time interval starting at t ෇ 2. 2 The average velocities over successively smaller intervals appear to be getting closer to a number near 10, and so we expect that the velocity at exactly t ෇ 2 is about 10 ft͞s. In Chapter 2 we will define the instantaneous velocity of a moving object as the limiting value of the average velocities over smaller and smaller time intervals.

Power Functions A function of the form f ͑x͒ ෇ x a, where a is a constant, is called a power function. We consider several cases. 2 31 MATHEMATICAL MODELS: A CATALOG OF ESSENTIAL FUNCTIONS (i) a ෇ n, where n is a positive integer The graphs of f ͑x͒ ෇ x n for n ෇ 1, 2, 3, 4, and 5 are shown in Figure 11.

Download PDF sample

Rated 4.43 of 5 – based on 22 votes