課程大綱 Syllabus |
學生學習目標 Learning Objectives |
單元學習活動 Learning Activities |
學習成效評量 Evaluation |
備註 Notes |
序 No. | 單元主題 Unit topic |
內容綱要 Content summary |
1 | chapter 5 applications of the derivative |
5.1 first derivatives and graphs
5.2 optimizing functions on a closed interval |
學習以一階導數去圖出初圖 |
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2 | chapter 5 applications of the derivative |
5.3 the second derivatives and graphs
5.4 the second derivative test and optimization |
學習以二階導數畫圖及求解最適化問題 |
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3 | chapter 5 applications of the derivative |
5.5 graphical analysis and curve sketching
5.6 elasticity of demand
5.7 implicit differentiation and related rates |
運作導數之求解於經濟問題 |
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4 | chapter 6 integration |
6.1 the indefinite integral
6.2 area, the definite integral, and the fundamental |
學習不定積分及定積分 |
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5 | chapter 6 integration |
6.3 integral calculus and total accumulation
6.4 integration by u-substitution |
學習求解積分之方法,替代法 |
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6 | chapter 6 integration |
6.5 integrals that yield logarithmic and exponential functions |
指數與對數積分之計算 |
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7 | chapter 7 applications of integral calculus |
7.1 average value of a function and the definite integral in finance
7.2 area between curves and applications |
以積分求二條線所夾之面積 |
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8 | ch5~ch7.2 |
複習 |
活用專業知識解決問題,強化學習 |
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9 | Mid-Term Exam |
1.考試範圍:第一週~第八週之課程內容 |
檢驗學習成效 |
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10 | chapter 7 applications of integral calculus |
7.3 economics applications of area between two curves
7.4 integration by parts |
積分在經濟學上的應用及部份積分 |
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11 | chapter 7 applications of integral calculus |
7.5 numerical integration
7.6 improper integrals |
暇積分之求解 |
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12 | chapter 7 applications of integral calculus |
7.7 differential equations: separation of variables
7.8 differential equations: growth and decay |
微分方程之簡介 |
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13 | chapter 8 calculus of several variables |
8.1 functions of several variables
8.2 level curves, contour maps, and cross-sectional analysis |
多變數函數之介紹 |
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14 | chapter 8 calculus of several variables |
8.3 partial derivatives and second-order partial derivatives |
偏微分及二次偏微分 |
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15 | chapter 8 calculus of several variables |
8.4 maxima and minima |
求解多變數函數之最適化問題 |
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16 | chapter 8 calculus of several variables |
8.5 lagrange multipliers |
受條件限制下之最適化問題求解 |
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17 | chapter 8 calculus of several variables |
8.6 double integrals |
雙重積分求解 |
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18 | Final Exam |
1.考試範圍:第十~十七週課程內容 |
檢驗學習成效 |
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