Type of Credit: Required
Credit(s)
Number of Students
This course covers the basic concepts of limits, differentiation and integration. Furthermore, we will apply Calculus on real-world problem 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。
| 教學週次Course Week | 彈性補充教學週次Flexible Supplemental Instruction Week | 彈性補充教學類別Flexible Supplemental Instruction Type |
|---|---|---|
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 |
Review for Calculus 1 |
Review for Calculus 1 |
Review for Calculus 1 |
3 |
|
|
2 |
Application of Differentiation |
Optimization Problems |
|
0 |
0 |
|
3 |
Application of Differentiation |
Newton’s Method, Antiderivatives |
Practice Exercise during and after class |
3 |
6 |
|
4 |
Integrals |
Areas and Distances, The Definite Integral |
Practice Exercise during and after class |
3 |
6 |
|
5 |
Integrals |
The Fundamental Theorem of Calculus, Indefinite Integrals and the Net Change Theorem |
Practice Exercise during and after class |
3 |
6 |
|
6 |
Integrals |
The Substitution Rule |
Practice Exercise during and after class |
3 |
6 |
|
7 |
Applications of Integration |
Areas between Curves / Average Value of a Function |
|
0 |
6 |
|
8 |
Applications of Integration |
Washer Method / Shell Method |
Practice Exercise during and after class |
3 |
6 |
|
9 |
Midterm |
Reviews of Week 2-8 |
Reviews of Week 2-8 |
0 |
9 |
|
10 |
Techniques of Integration |
Integration by Parts |
Practice Exercise during and after class |
3 |
6 |
|
11 |
Techniques of Integration |
Approximate Integration, Improper Integrals |
Practice Exercise during and after class |
3 |
6 |
|
12 |
Further Applications of Integration |
Applications to Economics and Biology, Probability |
Practice Exercise during and after class |
3 |
6 |
|
13 |
Differential Equations |
Differential Equations |
Practice Exercise during and after class |
3 |
6 |
|
14 |
Infinite Sequences and Series |
Sequences & Series / Integral Test |
Practice Exercise during and after class |
3 |
6 |
|
15 |
Infinite Sequences and Series |
comparison test / Alternating series / ratio root test/ Taylor’s Theorem |
Practice Exercise during and after class |
3 |
6 |
|
16 |
Multiple Integrals |
Multiple Integrals |
Practice Exercise during and after class |
3 |
6 |
|
17 |
Final Exam |
|
Reviews of Week 10-16 |
0 |
9 |
|
18 |
|
Class Ends |
|
0 |
0 |
1. Exercise (Group Project, 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.