| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
Unit Objectives:
Definite Integrals: Understand and compute Riemann sums and definite integrals; apply the Fundamental Theorems of Calculus.
Applications of Integration: Calculate the area of plane regions using integrals.
Exponential and Logarithmic Functions: Analyze natural and general exponential/logarithmic functions and their applications.
Integration Techniques: Develop skills in substitution, integration by parts, trigonometric integrals, rationalizing substitutions, and handling improper integrals.
Multivariable Functions: Learn the basics of partial derivatives and self-learn optimization concepts, including finding maxima and minima for functions of multiple variables. |
| 1.Independent Thinking |
| 2.Professional Knowledge with Applications |
| 4.English Proficiency |
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| Networking / Distance Education |
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| Attendance |
| Assignment |
| Quiz |
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| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Antiderivatives (3.8)
|
| Week 2 |
Differential equations (3.9) |
| Week 3 |
Riemann sum and definite integral (4.2)
|
| Week 4 |
First fundamental theorem of calculus (4.3) |
| Week 5 |
Second fundamental theorem of calculus (4.4)
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| Week 6 |
Area of a plane Region (5.1)
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| Week 7 |
The natural logarithmic function (6.1) |
| Week 8 |
Midterm exam |
| Week 9 |
The natural exponential function (6.3)
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| Week 10 |
General exponential and logarithmic functions (6.4) |
| Week 11 |
Integration by parts (7.2) |
| Week 12 |
Trigonometric integrals (7.3)
|
| Week 13 |
Rationalizing substitutions (7.4) |
| Week 14 |
Improper integrals (I) (8.3) |
| Week 15 |
Partial derivatives (12.2) |
| Week 16 |
Final Exam |
self-directed
learning |
05.Participation in various workshops organized by different departments of NCHU.
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| Evaluation |
Homework and the effort of study: 35%
Midterm exam: 25%
Final exam: 30%
Self-learning: 10% |
| Textbook & other References |
| Calculus, 9th Edition, Varberg, Purcell and Rigdon (東華書局) |
| Teaching Aids & Teacher's Website |
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| Office Hours |
| 1:10 p.m.-2:00 p.m. Friday or by appointment |
| Sustainable Development Goals, SDGs(Link URL) |
| 04.Quality Education | include experience courses：N |
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