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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 2450 views
Time left: Finished

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。

[deleted user]
Rating 52
Translation / English
- Posted at 03 Apr 2018 at 16:31
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.
n475u
Rating 50
Translation / English
- Posted at 03 Apr 2018 at 20:29
You can understand how to find correlation coefficient and grasp the correlation between two variables.
You can input functions to a spreadsheet, and find the values.
This class is aimed to make you understand curves in a plane and complex plane, limit, differential calculus, and integral calculus and obtain fundamental knowledge and develop your skill.
This class is aimed to develop your skills to examine and describe phenomena mathematically, and make you utilize those skills.
You can understand characteristics of fractional function, irrational function, and graphs for those functions.
You can understand meanings of complex function and 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。

n475u
Rating 50
Translation / English
- Posted at 04 Apr 2018 at 08:53
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.
ttm_67
Rating 50
Translation / English
- Posted at 03 Apr 2018 at 23:32
Understand the limit of numerical sequence, and be able to determine the limit based on the series {r} etc.
Understand the convergence and divergence of infinite series, and be able to obtain the sum of the infinite series such as geometric series.
Understand the limit of function, and be able to determine them.
Understand derivative of product and quotient of functions, and be able to determine the derivative of sum, difference, product, and quotient of functions.
Understand the derivative of composite function, and be able to determine them.
Be able to determine the derivative of trigonometric, exponential 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。

[deleted user]
Rating 52
Translation / English
- Posted at 03 Apr 2018 at 17:03
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.
ttm_67
Rating 50
Translation / English
- Posted at 04 Apr 2018 at 00:10
To be able to use derivative to determine tangent functions of various curves.
To be able to determine increase, decrease, maximum, minimum values of function.
To be able to examine convexity or concavity of graph, and draw a sketch of the graph.
To be able to use derivative to consider problems such as proof of maximum and minimum of function, or inequality.
To understand the behavior of indefinite integral, and be able to determine the indefinite integral of various functions.
To understand integration by substitution and integration by parts, and use them to determine the indefinite integral.
To understand the behavior of definite integral, and be able to determine the definite integral of various functions.
fish2514
Rating 52
Translation / English
- Posted at 04 Apr 2018 at 09:16
To calculate tangential equation of various curved lines by using derived function.
To calculate an increase or decrease and maximum/minimum of function value.
To investigate asperity of a graph and sketch the graph.
To consider maximum/minimum of function or proof of inequality, etc. by using derived function.
To understand the character of indefinite integral and calculate indefinite integral of various definite integrals.
To understand integration by substitution method and integration by parts method and calculate indefinite integral by using these.
To understand the feature of definite integral and calculate definite integral of 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

[deleted user]
Rating 52
Translation / English
- Posted at 03 Apr 2018 at 17:59
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.
fish2514
Rating 52
Translation / English
- Posted at 03 Apr 2018 at 17:14
It is possible to understand integration by substitution and integration by parts, and calculate definite integral by using these.
It is possible to calculate the dimension of a diagram or the volume of a solid that are enclosed by various curve lines, volume of rotor or the length of a curve line, etc. by using definite integral.
It is possible to understand a complex number plane and a complex number polar form, figurative meaning of real number multiple, sum, difference, product and quotient of a complex number, and use these for examination of an phenomena.
*
It is possible to understand that parabolic, elliptic and hyperbolic are shown by quadratic and the feature of these quadratic curves.
It is possible to understand the meaning of polar coordinates, that a curve line is shown by polar equation, and use these for examination of a phenomena.
fish2514
fish2514- over 6 years ago
書き出しの"It is possible"を全て”To”に変更して下さい。申し訳ありません。

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