1.一次函數: linear function
2.一階檢定法: The first derivative test
3.二次函數: quadratic function
4.二階檢定法: The second derivative test
5.三次函數: cubic function
6.上和: upper sum
7.上限: upper limit of integral
8.上矩形: upper rectangle
9.下和: lower sum
10.下限: lower limit of integral
11.下矩形: lower rectangle
12.不可微分: non-differential
13.不定積分: indefinite integral
14.中間值定理: intermediate value theorem
15.內接多邊形: inscribed polygon
16.公比: common ratio
17.分數: fraction
18.切片法: method of slicing
19.切線: tangent line
20.反比: proportion by inversion
21.反曲點: inflection point
22.反導函數: antiderivative
23.牛頓法: Newton's method
24.牛頓(英格蘭1643~1727): Sir Isaac Newton
25.凹口向上: concave upward
26.凹口向下: concave downward
27.凹向性: concavity
28.半開區間: half open interval
29.可微分: differentiable
30.右極限: right hand limit
31.外切多邊形: circumscribed polygon
32.左極限: left hand limit
33.平均速度: average velocity
34.立體: solid
35.合成函數: composite function
36.多項式函數: polynomial function
37.收斂: convergent
38.收斂級數: convergent series
39.收斂數列: convergent sequence
40.有限數列: finite sequence
41.有理數: rational number
42.位移函數: displacement function
43.夾擠定理: squeeze theorem
44.貝克萊主教(愛爾蘭1685~1753): George Berkeley
45.函數: function
46.函數圖形: graph of function
47.定義域: domain
48.定積分: definite integral
49.直四角錐: pyramid
50.直圓錐台: circular truncated cone
51.直圓錐體: cone
52.面積: area
53.值域: range
54.格子點: lattice point
55.高斯函數: Gaussian function
56.高斯符號: Gaussian symbol
57.高斯(德國1777~1855): Carl Friedrich Gauss
58.勘根定理: root location theorem
59.區間: interval
60.斜率: slope
61.旋轉體: solid of revolution
62.球體: spheroid
63.第一階導函數: derivative of first order
64.第二階導函數: derivative of second order
65.速度函數: velocity function
66.連續函數: continuous function
67.閉區間: closed interval
68.最大值: absolute maximum
69.最小值: absolute minimum
70.割線: secant line
71.循環小數: circulating decimal
72.無限大: infinity
73.無窮級數: infinite series
74.無窮等比級數: infinite geometric series
75.無窮數列: infinite sequence
76.發散: divergent
77.發散級數: divergent series
78.發散數列: divergent sequence
79.萊布尼茲(德國1646~1716): Gottfried Wilhelm Leibniz
80.開區間: open interval
81.微分: differential
中數學6. 數、多項式 數的 積分
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82.微積分: calculus
83.微積分基本定理: fundamental theorem of calculus
84.極大值: relative maximum
85.極小值: relative minimum
86.極限: limit
87.圖形法: graphical method
88.實函數: real function
89.對應域: codomain
90.端點: end point
91.赫爾曼外爾(德國1885~1955): Hermann Klaus Hugo Weyl
92.遞減函數: decreasing function
93.遞增函數: increasing function
94.導函數: derivative of function
95.導數: derivative
96.數列: sequence
97.數學歸納法: mathematical induction
98.數據法: quantitative method
99.歐多克索斯(希臘西元前408~355): Eudoxus
100.積分: integration
101.瞬時加速度: instantaneous acceleration
102.瞬時速度: instantaneous velocity
103.趨近: approach
104.羅倫茲(美國1880~1962): Max O. Lorenz
105.嚴格遞減函數: strictly decreasing function
106.嚴格遞增函數: strictly increasing function
107.變數: variable
108.體積: volume