| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
Ch. 6 Inverse Functions
Ch. 7 Techniques of Integrations
Ch. 11 Sequences, Series and Power Series
Ch. 14 Partial Derivatives
Ch. 15 Multiple integrals |
| 1.Professional Knowledge with Applications |
| 2.Independent Thinking |
|
|
|
| Attendance |
| Assignment |
| Quiz |
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Review
4.3 The Fundamental Theorem of Calculus
4.4 Indefinite Integrals and the Net Change Theorem |
| Week 2 |
4.5 The Substitution Rule
Applications: Area between curves |
| Week 3 |
6.1 Inverse Functions and Their Derivatives
6.2* The Natural Logarithmic Function
|
| Week 4 |
6.3* The Natural Exponential Function
6.4* General Logarithmic and Exponential Functions |
| Week 5 |
6.8 Indeterminate Forms and l’Hospital’s Rule
7.1 Integration by Parts |
| Week 6 |
7.2 Trigonometric Integrals
7.3 Trigonometric Substitutions |
| Week 7 |
Holiday |
| Week 8 |
7.4 Partial Fractions
7.8 Improper Integrals |
| Week 9 |
Midterm Exam |
| Week 10 |
Sequences and Series
11.3 Integral Test and Comparison Tests |
| Week 11 |
Alternating Series; Absolute Convergences
Ratio Test and Root Test |
| Week 12 |
Power Series, Taylor and Maclaurin Series
14.1 Functions of Several variables |
| Week 13 |
14.2 Limits and Continuity
14.3 Partial Derivatives |
| Week 14 |
14.5 Directional Derivatives and gradient vector
14.8 Lagrange Multipliers |
| Week 15 |
Ch 15 Multiple integrals
Polar Coordinates and Change of Variables in multiple integrals |
| Week 16 |
Final Exam |
self-directed
learning |
02.Viewing multimedia materials related to industry and academia.
14.4, 14.7, 15.2, 15.6 |
|
| Evaluation |
Attendance：10%
Usually performance(weekly homework)：20%
Midterm：35%
Final：35%
Midterm and final exams are mandatory to pass the course. |
| Textbook & other References |
| Calculus, Metric version 9E; James Stewart, Daniel Clegg, Saleem Watson |
| Teaching Aids & Teacher's Website |
|
| Office Hours |
| By Appointments |
| Sustainable Development Goals, SDGs(Link URL) |
| 04.Quality Education | include experience courses：N |
|