| 週次 |
授課內容 |
| 第1週 |
Review
4.3 The Fundamental Theorem of Calculus
4.4 Indefinite Integrals and the Net Change Theorem |
| 第2週 |
4.5 The Substitution Rule
Applications: Area between curves |
| 第3週 |
6.1 Inverse Functions and Their Derivatives
6.2* The Natural Logarithmic Function
|
| 第4週 |
6.3* The Natural Exponential Function
6.4* General Logarithmic and Exponential Functions |
| 第5週 |
6.8 Indeterminate Forms and l’Hospital’s Rule
7.1 Integration by Parts |
| 第6週 |
7.2 Trigonometric Integrals
7.3 Trigonometric Substitutions |
| 第7週 |
Holiday |
| 第8週 |
7.4 Partial Fractions
7.8 Improper Integrals |
| 第9週 |
Midterm Exam |
| 第10週 |
Sequences and Series
11.3 Integral Test and Comparison Tests |
| 第11週 |
Alternating Series; Absolute Convergences
Ratio Test and Root Test |
| 第12週 |
Power Series, Taylor and Maclaurin Series
14.1 Functions of Several variables |
| 第13週 |
14.2 Limits and Continuity
14.3 Partial Derivatives |
| 第14週 |
14.5 Directional Derivatives and gradient vector
14.8 Lagrange Multipliers |
| 第15週 |
Ch 15 Multiple integrals
Polar Coordinates and Change of Variables in multiple integrals |
| 第16週 |
Final Exam |
自主學習
內容 |
02.閱覽產業及學術相關多媒體資料
14.4, 14.7, 15.2, 15.6 |