學習大學物理課程中相關的數學語言、工具與技術。內容包括: 極坐標, 冪級數, 泰勒與馬克勞林級數, 向量微分, 向量積分, 偏微分, 方向導數, 梯度, 重積分, 柱坐標, 球坐標.

Learn the mathematical language, tools, and techniques relevant to college physics courses. Content includes: polar coordinates, power series, Taylor and Maclaurin series, vector differential, vector integral, partial differential, directional derivatives, gradient, heavy integral, cylindrical coordinates, spherical coordinates.

介紹微積分的理論及其應用，多項式、有理式、根式、三角函數、反三角函數、指數函數、對數函數的微分和積分。將微分應用在求變化率、極值、及畫圖上，並將積分應用在求長度、面積、體積、及函數的平均值上。

Introduces the theory and application of calculus, differentiation and integration of polynomials, rational expressions, radicals, trigonometric functions, inverse trigonometric functions, exponential functions, and logarithmic functions. Apply differentials to find rates of change, extreme values, and graphs, and apply integrals to find lengths, areas, volumes, and averages of functions.

書名: Calculus
作者: Robert A. Adams and Christopher Essex
出版商: Pearson

書名: Foundation Mathematics for the Physical Sciences
作者: K.F.Riley and M.P.Hobson
出版商: Cambridge University Press
代理書商: 東華書局/新月書局 (02)2331-7856

Book title: Calculus
Author: Robert A. Adams and Christopher Essex
Publisher: Pearson

Book title: Foundation Mathematics for the Physical Sciences
Author: K.F.Riley and M.P.Hobson
Publisher: Cambridge University Press
Bookseller: Tung Wah Book Company/Crescent Book Company (02)2331-7856