Calculus: The Language of ChangeJones & Bartlett Learning, 2005 - 988 pages Adaptable to courses for non-engineering majors, this textbook illustrates the meaning of a curve through graphs and tests predictions through numerical values of change, before formally defining the limit of a sequence and function, the derivative, and the integral. The second half of the book develops techniques for integrating functions, approxi |
Contents
Introducing the Words | 1 |
Introducing the Pictures | 15 |
Approximating Derivatives | 64 |
Algebraic Methods | 125 |
Note We remind you that this proposition will reappear in Chapter 5 together with a | 130 |
13 | 219 |
The Basic Theory | 231 |
64 | 251 |
Polynomial Approximations | 506 |
124 | 561 |
EXAMPLE | 632 |
approaches | 656 |
Numerous Worked | 754 |
improved | 793 |
The Deeper Theory | 815 |
Appendix A A Review of Algebra and Geometry | 865 |
Common terms and phrases
algebra answers to problems antiderivative approximate the integral Calculus Chain Rule Challenging Problems Chapter Compare your answer compute constant cos(x curve Definition difference quotient differential equation distance diverges equal equilibrium point Euler's method exactly and compare EXAMPLE Find EXERCISES function f(x ƒ and g given in problem graph of ƒ guess height Here's Integration by Substitution inverse left left left limit look lower sum Maclaurin polynomial Maclaurin series mathematical Mean Value Theorem meters Method of Trapezoids negative Newton's method phase plane picture population positive number Problem du jour Proposition prove quadratic rate of change real number rectangle right right right sec(x Section 7.4 sequence Simpson's Rule sin(x Solution solve Step subinterval length given Suppose tan(x tangent Taylor polynomial Taylor's Theorem Tests tion trajectories Trapezoids to approximate variable vector field velocity x-axis zero УА