| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| Cultivate students the methods and calculations of differential and integral as well as the basic of mathematical concepts. |
| 1.Basic Knowledge in Mathematical Sciences |
| 8.English Language Ability |
|
|
|
| Attendance |
| Assignment |
| Quiz |
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Introduction: Function
Four Ways to Represent a Function
Mathematical Models |
| Week 2 |
New Functions from Old Functions
Inverse Functions |
| Week 3 |
Limits:
The Limit of a Function
|
| Week 4 |
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit
|
| Week 5 |
Continuity
Limits at Infinity |
| Week 6 |
The Derivative:
Derivatives and Rates of Change |
| Week 7 |
The Derivatives as a Function |
| Week 8 |
Midterm Exam |
| Week 9 |
Differentiation Formulas
|
| Week 10 |
Derivatives of Trigonometric Function
The Chain Rule |
| Week 11 |
Implicit Differentiation
Derivatives of Logarithmic Functions
|
| Week 12 |
Applications of the Derivative:
Maximum and Minimum Values |
| Week 13 |
The mean value Theorem
How Derivatives Affect the Shape of a Graph
|
| Week 14 |
Indeterminate Forms and L’Hospital’s Rule |
| Week 15 |
Optimization Problems
Antiderivatives |
| Week 16 |
Final Exam
(The contents and progress of the class would be adjusted based on the class situation.) |
self-directed
learning |
02.Viewing multimedia materials related to industry and academia.
|
|
| Evaluation |
Attendance and performance: 25%
Homework: 15%
Midterm Exam: 30%
Final Exam: 30% |
| Textbook & other References |
1. James Stewart, Calculus, 7th ed.
2. James Stewart, Calculus(Early Transcendentals), 8th ed.
|
| Teaching Aids & Teacher's Website |
|
| Office Hours |
| 預約 |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
|