| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
使得學生能夠了解多變數微分積分的運作方式和運用，做為高等數學基礎知識。
Enable students to understand the operation and application of differential integration, and use it as a foundation for multivariable calculus and advanced mathematics in the next semester. |
| 1.Basic Knowledge in Mathematical Sciences |
| 7.Mathematical and Statistical software skills |
| 8.English Language Ability |
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| Networking/Distance Education |
| Lecturing |
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| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
課程介紹
Ch07S04: Integration of rational functions by partial fractions
Ch06S08: Indeterminate forms and L’hospital Rule
Ch07S08: Improper integrals
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| Week 2 |
Ch05S01: Areas between curves
Ch05S02: Volumes
Ch05S03: Volumes by cylindrical shells
Ch05S05: Average of a function |
| Week 3 |
Ch08S01: Arc length
Ch08S02: Area of Surface of Revolution
Ch10S01: Curves Defined by Parametric Equations.
Ch10S02: Calculus with Parametric Curves. |
| Week 4 |
Ch10S03: Polar Coordinates.
Ch10S04: Calculus in Polar Coordinates.
Ch11S01: Sequences
Ch11S02: Series |
| Week 5 |
Ch11S03: The Integral Test and Estimates of Sums
Ch11S05: Alternating Series
Ch11S06: Absolute Convergence and the Ratio and Root Tests
Ch11S07: Strategy for Testing Series
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| Week 6 |
Mid 1: 3/30
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| Week 7 |
Ch11S08: Power Series
Ch11S09: Representations of Functions as Power Series
Ch11S10: Taylor and Maclaurin Series
Ch11S11: Applications of Taylor Polynomials |
| Week 8 |
Ch14S01: Functions of Several Variables
Ch14S02: Limits and Continuity
Ch14S03: Partial Derivatives |
| Week 9 |
Ch14S04: Tangent Planes and Linear Approximations
Ch14S05: The Chain Rule
Ch14S06: Directional Derivatives and the Gradient Vector |
| Week 10 |
Ch14S07: Maximum and Minimum Values
Ch14S08: Lagrange Multipliers
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| Week 11 |
Mid 2 |
| Week 12 |
Ch15S01: Double Integrals over Rectangles
Ch15S02: Double Integrals over General Regions
Ch15S03: Double Integrals in Polar Coordinates |
| Week 13 |
Ch15S04: Applications of Double Integrals
Ch15S05: Surface Area
Ch15S06: Triple Integrals |
| Week 14 |
Ch15S07: Triple Integrals in Cylindrical Coordinates
Ch15S08: Triple Integrals in Spherical Coordinates
Ch15S09: Change of Variables in Multiple Integrals |
| Week 15 |
Final exam |
| Week 16 |
Self-directed learning |
self-directed
learning |
Vector Fields, Line Integrals, and The Fundamental Theorem of Line Integrals
by videos on the internet
Green’s Theorem, Parametric Surfaces and Their Areas |
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| Evaluation |
Homework and quiz: 30%
Mid 1：20%
Mid 2：20%
Final：30% |
| Textbook & other References |
Title: Calculus, Metric Version, 9 Edition.
Authors: James Stewart, Daniel K. Clegg, Saleem Watson.
代理商：滄海書局 |
| Teaching Aids & Teacher's Website |
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| Office Hours |
| Mon. 16:00-17:00 |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
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