Type of Credit: Required
Credit(s)
Number of Students
歡迎來到微積分課！
This course covers the basic concepts of limits, differentiation, and integration. Furthermore, we will apply Calculus to real-world problems such as business and economics.
這門課涵蓋極限、微分、積分的基礎概念，並將之應用在商業、經濟等相關領域。
能力項目說明
This course will develop the ability of critical thinking, quantitative skills and empirical reasoning skills.
Upon successful completion of this course, students will be able to plot and describe graphs and their properties; apply L'Hopital's rule to determine limits; apply differentiation to solve related rates and extreme value problems; perform definite and indefinite integration.
這門課在培養學生未來面對問題時的邏輯思考與數量化能力。
Tentative Course Schedule (Subject to change)
|
週次 Week |
課程主題 Topic |
課程內容與指定閱讀 Content and Reading Assignment |
教學活動與作業 Teaching Activities and Homework |
學習投入時間 Student workload expectation |
|
|
課堂講授 In-class Hours |
課程前後 Outside-of-class Hours |
||||
|
1 |
Introduction |
Introduction |
Introduction |
0 |
0 |
|
2 |
Limits and Derivatives |
Functions graph, graph in economics, limits |
Practice Exercise during and after class |
3 |
6 |
|
3 |
Differentiation Rules |
Derivative Functions, Marginal Analysis |
3 |
6 |
|
|
4 |
Differentiation Rules |
Chain Rule, High Order Derivative, Differentiability |
3 |
6 |
|
|
5 |
Differentiation Rules |
Polynomials and Derivatives |
Practice Exercise during and after class |
3 |
6 |
|
6 |
Application of Differentiation |
Graphing Functions using Derivatives |
Practice Exercise during and after class |
3 |
6 |
|
7 |
Application of Differentiation |
Implicit Functions, Linear Approximation |
Practice Exercise during and after class |
3 |
6 |
|
8 |
Application of Differentiation |
Related Rates |
Practice Exercise during and after class |
3 |
6 |
| 9 |
Exponential Functions and Log Functions |
Exponential Functions, log Functions, Derivative of log Functions |
Practice Exercise during and after class |
3 |
6 |
|
10 |
Midterm |
Reviews of Week 2-9 |
Reviews |
0 |
9 |
|
11 |
Application of Differentiation |
Global and Local Extrema, Mean Value Theorem |
Practice Exercise during and after class |
3 |
6 |
|
12 |
Application of Differentiation |
Graphing Functions using Derivatives |
Practice Exercise during and after class |
3 |
6 |
|
13 |
Application of Differentiation |
L'Hospital Rule |
Practice Exercise during and after class |
3 |
6 |
|
14 |
Application of Differentiation |
Optimization Problems |
Practice Exercise during and after class |
3 |
6 |
|
15 |
Application of Differentiation |
Newton’s Method |
Practice Exercise during and after class |
3 |
6 |
|
16 |
Final Exam |
Reviews of Week 1-15 |
Reviews of Week 1-15 |
0 |
9 |
1. Exercise (Homework, Pop Quiz, etc) 30%
2. Midterm 30%
3. Final 40 %
(All are subject to change)
Reference Textbook:
Calculus: Early Transcendentals, (9/e Metric Version)
James Stewart, Daniel K. Clegg; Salem Watson
ISBN-10: 0-357-11351-9
ISBN-13: 978-0-357-11351-6
Homework will assign from WebAssign. Please wait till first day of the class to purchase your textbook.