| 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 integration techniques and calculations of antiderivatives of Functions. Students can explain the meaning of the convergence and divergence of sequences and series. |
| 1.Basic Knowledge in Mathematical Sciences |
| 7.Mathematical and Statistical software skills |
| 8.English Language Ability |
|
|
|
| Attendance |
| Assignment |
| Quiz |
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Review of Differentiation Rules
Antiderivatives
Chapter 5: Integrals
Areas and Distances |
| Week 2 |
The Definite Integral |
| Week 3 |
The Fundamental Theorem of Calculus
|
| Week 4 |
Indefinite Integrals
|
| Week 5 |
The Substitution Rule
|
| Week 6 |
Chapter 7: Techniques of Integration
Integration by Parts
|
| Week 7 |
Trigonometric Integrals |
| Week 8 |
Integration of Rational Functions by Partial Fractions |
| Week 9 |
Midterm Exam |
| Week 10 |
Strategies for Integration |
| Week 11 |
Improper Integrals |
| Week 12 |
Chapter 11 Infinite Sequences and Series
Sequences |
| Week 13 |
Series |
| Week 14 |
The Integral Test |
| Week 15 |
The Comparison Tests
|
| Week 16 |
The Ratio and Root Tests
Alternating Series |
| Week 17 |
Strategy for Testing Series
Power Series |
| Week 18 |
Final Exam
Note: The content and progress of the lessons will be adjusted according to the situation of the class. |
|
| Evaluation |
Attendance and performance: 25%
Homework: 15%
Midterm Exam: 30%
Final Exam: 30% |
| Textbook & other References |
| James Stewart, Calculus(Early Transcendentals), International Metric Edition 8th ed., Cengage Learning, 2016. |
| Teaching Aids & Teacher's Website |
|
| Office Hours |
| TBA |
| Sustainable Development Goals, SDGs |
| | include experience courses：N |
|