課程目標:
良好的數學修養對科技工作者之重要性,猶如充沛的體力對運動員一樣,不可或缺。本課程為工程數學(一)之延續,旨在傳授學生基本應用數學知識與解析方法,為進一步學習與研究,打下良好的數學基礎。
課程內容概要:
1. Some Topics in Higher-Dimensional Calculus (多變數微積分概要)
2. Fourier Series (Fourier級數)
3. Laplace Transform (Laplace變換)
4. Vector Algebra, Vector Calculus (向量代數與向量微積分)
成績計算方式:
(a) 3次考試............................................................................................... 90%
(b) 作業...................................................................................................... 10%
(c) 參考出席率
教科書或主要參考書:
(a) Riley, K.F., Hobson, M.P., Bence, S.J. 1998, Mathematical Methods for Physics and Engineering, Cambridge University Press, Cambridge, UK.
(b) Zill, D.G., Cullen, M.R. 2000, Advanced Engineering Mathematics, 2nd Edition, Jones and Bartlett, Sudbury, Mass, USA.
(c) Hildebrand, F. B. 1976, Advanced Calculus for Applications, 2nd Edition, Prentice-Hall, Englewood Cliffs, N.J.
適合選修對象:
大二必修
建議先修基礎課程:
微積分(一)、(二)