基本素養 Basic Literacy
課程概述 Course Description本課程以極限的觀念為基礎，建立微分與積分的運算並以之探討實函數之局部性質與整體行徑。
Based on the concept of limit, we discuss both differential calculus and integral calculus. These will be used as tools to discuss the local and global behavior of real-valued functions.
課程學習目標 Course Objectives
課程進度 Progress Description
|進度說明 Progress Description|
|1||Functions and Limits|
|4||Implicit differentiation and antiderivatives|
|5||Exponential/ Logarithmic functions|
|6||Inverse Trigonometric functions|
|7||Applications of differentiation: graphing techniques|
|8||Applications of differentiation: linear approximations and Taylor polynomials|
|9||Midterm Exam(Nov. 10th)|
|10||Definition of Integrations|
|11||Fundamental theorem of calculus|
|12||Integration by parts, integrals of rational functions|
|13||Inverse substitutions, Improper integrals|
|14||Trapezoid, Midpoint, and Simpson's rules|
|15||Applications of Integration: volumes, arc length and surface area|
|16||Applications of Integration: some physical examples|
|17||Applications of Integration: probability, differential equations|
|18||Final Exam(Jan. 12th)|
有關課程其他調查 Other Surveys of Courses1.本課程是否規劃業界教師參與教學或演講?
Is there any industry specialist invited in this course? How many times?
Are there any internships involved in the course? How many hours?
Is this course recognized as an academic ethics course? In the course how many hours are regarding academic ethics topics? No
Is this course recognized as a Community engagement and Service learning course? Which community will be engaged?