﻿ 教學大綱_096_2_3086 Calculus 微積分

### 朝陽科技大學 096學年度第2學期教學大綱 Calculus 微積分

當期課號 Course Number 3086 3086 朱香蕙 CHU,HSIANG HUI 微積分 Calculus 財務金融系(四在)一B 必修 Required 3 3 著重在積分的介紹與應用.此課程乃要幫助學生學會反導數,以及它的推導和應用.另外也要幫助學生學會並運用部分積分和重積分的工具,去解決複雜的積分問題.若時間許可,泰勒多項式和無窮級數也會包含在此課程中,因其在財務金融的領域上也是常被用到的工具. This course will involve introduction to integration, the method of integration, the application of definite integration, partial derivatives, multi-integration, and, if time allowing, differential equations and Taylor polynomials and infinite series. Applied Calculus For The Managerial, Life, And Social Sciences. (6th Edition), Tan Applied Calculus For The Managerial, Life, And Social Sciences. (6th Edition), Tan 期中考30%,期末考30%,平時40% Midterm Exam 30% Final Exam 30% Participation+Quiz+Homework 40% 5.1 Exponential Functions5.2 Logarithmic Functions5.3 Compound Interest5.4 Differentiation of Exponential Functions 5.5 Differentiation of Logarithmic Functions5.6 Exponential Functions as Mathematical Models 6.1 Antiderivatives and the Rules of Integration6.2 Integration by Substitution6.3 Area and the Definite Integral6.4 Fundamental Theorem of Calculus6.5 Evaluating Definite Integrals6.6 Area between Two Curves7.1 Integration by Parts7.3 Numerical Integration7.4 Improper Integrals8.1 Functions of Several Variables8.2 Partial Derivatives8.7 Double Integrals 5.1 Exponential Functions5.2 Logarithmic Functions5.3 Compound Interest5.4 Differentiation of Exponential Functions 5.5 Differentiation of Logarithmic Functions5.6 Exponential Functions as Mathematical Models 6.1 Antiderivatives and the Rules of Integration6.2 Integration by Substitution6.3 Area and the Definite Integral6.4 Fundamental Theorem of Calculus6.5 Evaluating Definite Integrals6.6 Area between Two Curves7.1 Integration by Parts7.3 Numerical Integration7.4 Improper Integrals8.1 Functions of Several Variables8.2 Partial Derivatives8.7 Double Integrals