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[Translation from Japanese to English ] You can understand limits of numerical sequences, and find limits of numerica...

This requests contains 915 characters and is related to the following tags: "Formal" . It has been translated 8 times by the following translators : ( n475u , fish2514 , ttm_67 ) and was completed in 2 hours 23 minutes .

Requested by nabin at 03 Apr 2018 at 15:37 2452 views
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相関係数の計算方法と特徴を理解し二つの変量の相関をとらえることができる。
定義に従った式を表計算ソフトに入力し,それらを算出することができる。
平面上の曲線と複素数平面,極限,微分法及び積分法について理解し基礎的な知識の習得と技能の習熟を図る。
事象を数学的に考察し表現する能力を伸ばし,それらを活用できるようにする。
分数関数と無理関数及びそれらのグラフの特徴を理解できる。
合成関数や逆関数の意味を理解し,それらを求めることができる。
*ド・モアブルの定理について理解できる。

You understand how to calculate and the characteristic of the correlation coefficient and can find the two correlation of variables.
After inputting the equation according to the definition on the spreadsheet software, and you can calculate them.
You understand about the curve on the plane, complex plane, limit, differentiation or integration and try to master the fundamental knowledge and learn technology hard.
Developing to consider the phenomenon mathematically and the ability to express, then try to use them.
You can understand the fractional function and irrational function and then the characteristic of those graphs.
You understand the meanings of the composite function or inverse function and find them.
*You can understand De Moivre's theorem.

数列の極限について理解し数列{r}の極限などを基に、数列の極限を求めることができる。
無限級数の収束,発散について理解し,無限等比級数などの無限級数の和を求めることができる。
関数の極限について理解し、それらを求めることができる。
関数の積及び商の導関数について理解し.関数の和,差,積及び商の導関数を求めることができる。
合成関数の導関数について理解しそれらを求めることができる。
三角関数.指数関数及び対数関数の導関数を求めることができる。

You can understand limits of numerical sequences, and find limits of numerical sequences based on the limit of the numerical sequence {r}.
Understanding convergence and divergence of infinite series, you can find summations of infinite series including infinite geometrical series.
You can understand and find limits of functions.
Understanding derivatives of products and quotients of functions, you can find derivatives of summations, differences, products, and quotients of functions.
You can understand and find derivatives of complex functions.
You can find derivatives of trigonometric functions, exponential functions, and logarithmic functions.

導関数を用いて,いろいろな曲線の接線の方程式を求めることができる。
関数の値の増減、極大・極小を求めることができる。
グラフの凹凸を調べ,グラフの概形をかくことができる。
導関数を用いて,関数の最大・最小や不等式の証明などの考察に活用できる。
不定積分の性質を理解し、様々な関数の不定積分を求めることができる。
置換積分法及び部分積分法について理解し、それらを用いて不定積分を求めることができる。
定積分の性質を理解し、様々な関数の定積分を求めることができる。

You can find the equation of tangent of the various curves using the derivative.
You can find the fluctuation of function value, the maximum and minimum.
You can draw the general form of graphs examining unevenness of the graph.
You can use to consider such as the maximum and minimum of the function and the proof of the inequality.
You understand the property of the indefinite integral and can find the indefinite integral of the various functions.
You understand the ways of the integration by substitution and integration by parts, and can find the indefinite integral using them.
You understand the property of definite integral and can find the definite integral of the various functions.

置換積分法及び部分積分法について理解し,それらを用いて定積分を求めることができる。
いろいろな曲線で囲まれた図形の面積や立体の体積,回転体の体積や曲線の長さなどを定積分を利用して求めることができる
複素数平面と複素数の極形式,複素数の実数倍,和,差,積及び商の図形的な意咲を理解し,それらを事象の考察に活用できる
*
放物線,楕円.双曲線が二次式で表されること及びそれらの二次曲線の性質について理解できる
極座標の意味及ひ曲線が極方程式で表されることを理解し、それらを事象の考察に活用できる

You understand the integration by substitution and the integration by parts, and can find the definite integral by using them.
You can find the area of the graphic surrounded by the various curves and the three-dimensional volume, the rotating body volume, the length of curves, etc. by using the definite integral.
You understand the graphical meaning the complex plane, the polar form of complex plane, real numbers, the total, difference, product and quotient and can use them to consider the phenomenon.
*
You can understand that the parabola, ellipse and hyperbola are expressed by the quadratic and the property of those secondary curve.
You understand the meaning of polar coordinates and that the curves are expressed by the polar equation, and can use to consider for those phenomenons.

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