TY - GEN AU - Brown, Donald P. AU - Porta, Horacio AU - Uhl, J.Jerry TI - Calculus & Mathematica : : part 1 give it a try / SN - 0201572710 PY - 1991/// CY - Reading, MA PB - Addison-Wesley Publishing Company KW - MATEMÁTICAS KW - PROGRAMAS KW - CALCULO KW - DISKETTE N1 - Numbers and algebra. Functions and plotting. Linear growth. Instantaneous growth rates. Using the chain rule to unlock the secrets of logs and exponentials. Using the logarithm to calculational advantage: powers, products and trigonometics functions. The race track principle. The differential equation. Largest and smallest greatest and least, best and worst, a sampler. Tangent lines. Parameters. Circle and curvatures. Higher derivatives, splines and approximations . Area and the integral. Trying to break the code of the integral. Breaking the code of the integral: the fundamental theorem of calculus. Measurements through integration. Measuremen and the models through separation of variables and integrating. Volume measurement. Integration by parts and integration over an infinite interval. Substitutions. Empirical approximations. Approximations by expansions: quotients of ploynomials. Approximation by expansions : integration. Convergence: the explanation of our observations. Error estimates. Power series. Trustworthy plots. Expansion in powers of (x - a) N2 - Using the medium of the Mathematica notebooks, helps students explore and discover calculus concepts by exposing them to real data and real problems. Contains thirty lesson units covering the first two terms of calculus. The manuals support the courseware by allowing students to review the printed problems when they are not working on the computer. ER -