| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| 1. 1.首要目標為培養大學生的基本微積分觀念、理論和演算能力，尤其強調嚴謹的演算過程。2.修課後能順利銜接專業科目之數學要求。3.於大學畢業後具備研究更高等專業知識的基礎。 |
| 2. Professional knowledge and application |
|
|
|
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
本進度將因國定假日及學生學習狀況而有所調整
General Logarithmic and Exponential Functions; Inverse Trigonometric Functions |
| Week 2 |
Indeterminate Forms and L’Hospital’s Rule; Integration by Parts ; Trigonometric Integrals |
| Week 3 |
Trigonometric Substitution ; Integration of Rational Functions by Partial Fractions |
| Week 4 |
Improper Integrals; Sequences; Series |
| Week 5 |
The Integral Test ; The Comparison Tests; Alternating Series(考試1) |
| Week 6 |
Absolute Convergence and the Ratio and Root Tests |
| Week 7 |
Power Series; Representations of Functions as Power Series |
| Week 8 |
Taylor and Maclaurin Series |
| Week 9 |
Functions of Several Variables ; Partial Derivatives |
| Week 10 |
Tangent Planes and Linear Approximations ; The Chain Rule |
| Week 11 |
The Chain Rule (考試2) |
| Week 12 |
Maximum and Minimum Values |
| Week 13 |
Maximum and Minimum Values; Lagrange Multipliers |
| Week 14 |
Lagrange Multipliers ; Double Integrals over Rectangles |
| Week 15 |
Double Integrals over General Regions; Double Integral in polar Coordinates |
| Week 16 |
Final Exam (期末考)
|
self-directed
learning |
05.Participation in various workshops organized by different departments of NCHU.
將本學期習得的微積分技巧,搭配軟體輔助,演練計算與繪圖 |
|
| Evaluation |
三次考試:考試1(30%)+考試2(30%)+期末考(30%)共90%
平時成績:10%
缺課達1/2時,成績將以不及格計算 |
| Textbook & other References |
教科書: Calculus 9/e Metric Version: Stewart, 2024, 滄海書局
參考書: Essential of Calculus: Soo T. Tan, 1th., 2011, 東華書局 |
| Teaching Aids & Teacher's Website |
| 教科書: Calculus 9/e Metric Version: Stewart, 2024, 滄海書局 |
| Office Hours |
課堂中間休息時段,歡迎同學前來問問題
|
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
|