國立交通大學開放式課程(OpenCourseWare, OCW)

微積分(一) Calculus I - 第一章 Functions and Model 1.5 Exponential Functions

課程首頁課程影音課程綱要課程行事曆課程測驗

課程影音列表

周次	課程內容	課程影音
	第一章 Functions and Model 1.5 Exponential Functions	線上觀看
	1.6 Inverse Functions and Logarithms	線上觀看
	第二章 Limits and derivatives 2.2 The Limit of a Function	線上觀看
	2.3 Calculating Limits Using the Limit Laws	線上觀看
	2.4 The Precise Definition of a Limit	線上觀看
	2.5 Continuity	線上觀看
	2.6 Limits at Infinity; Horizontal Asymptotes	線上觀看
	2.8 Derivatives	線上觀看
	2.9 The Derivative as a Function	線上觀看
	第三章 Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions	線上觀看
	3.2 The Product and Quotient Rules	線上觀看
	3.4 Derivatives of Trigonometric Functions	線上觀看
	3.5 The Chain Rule	線上觀看
	3.6 Implicit Differentiation	線上觀看
	3.7 Higher Derivatives	線上觀看
	3.8 Derivatives of Logarithmic Functions	線上觀看
	3.10 Related Rates	線上觀看
	3.11 Linear Approximations and Differentials	線上觀看
	第四章 The Properties of Gases 4.1 Maximum and Minimum Values	線上觀看
	4.2 The Mean Value Theorem	線上觀看
	4.3 How Derivatives Affect the Shape of a Graph 4.5 Summary of Curve Sketching	線上觀看
	4.4 Indeterminate Forms a nd L’Hospital’s Rule	線上觀看
	4.7 Optimization Problems	線上觀看
	4.10 Antiderivatives	線上觀看
	第五章 Integrals 5.1 Areas and Distances	線上觀看
	5.2 The Definite Integral	線上觀看
	5.3 The Fundamental Theorem of Calculus	線上觀看
	5.4 Indefinite Integrals and the Total Change Theorem	線上觀看
	5.5 The Substitution Rule	線上觀看
	5.6 The Logarithm Defined as an Integral	線上觀看
	第六章 Applications of Integration 6.1 Areas between Curves	線上觀看
	6.2 Volumes	線上觀看
	第七章 Techniques of Integration 7.1 Integration by Parts	線上觀看
	7.2 Trigonometric Integrals	線上觀看
	7.3 Trigonometric Substitution	線上觀看
	7.4 Integration of Rational Functions by Partial Fractions	線上觀看
	7.7 Approximate Integration	線上觀看
	7.8 Improper Integrals	線上觀看
	第八章 Further Applications of Integration 8.1 Arc Length	線上觀看
	8.2 Area of a Surface of Revolution	線上觀看
	8.3 Applications to Physics and Engineering	線上觀看
	第十章 Parametric Equations and Polar Coordinates 10.1 Curves Defined by Parametric Equations	線上觀看
	10.2 Calculus with Parametric Curves	線上觀看
	10.3 Polar Coordinates	線上觀看
	10.4 Areas and Lengths in Polar Coordinates	線上觀看
	重點回顧	線上觀看