Reflection on 25th March 2013

Like last week, today we watch some video. In this lecture there are three video, not only video about mathematics but also about motivation. Titles of this video are ‘Quadratic Form’, ‘Invers Function’, and ‘Do You Believe Me?’.

In mathematics quadratic form is a quadratic form over some real vector space V that has the same sign(always positive or always negative) for every nonzero vector of V. According to that sign, the quadratic form is calledpositive definite or negative definite. A semidefinite (or semi-definite) quadratic form is defined in the same way, except that "positive" and "negative" are replaced by "not negative" and "not positive", respectively. An indefinite quadratic form is one that takes on both positive and negative values.

‘Do You Believe Me?’ is a Inspirational video for the start of school video. This video, posted to YouTube and created for the Starkville (Mississippi) School District by Broadcast Media Group,  is a great video to share with teachers, administrators, students, parents, and other constituents in our educational community. This video participants answer the basic and important questions:

1.      What do you want to be when you grow up?

2.      Why did you become a teacher?

3.      Who is your favorite teacher? What is your favorite subject? Why?

An inverse function is a function that undoes another function: If an input x into the function f produces an output y, then putting y into the inverse function g produces the output x, and vice versa. i.e., f(x)=y, andg(y)=x. More directly, g(f(x))=x, meaning g(x) composed with f(x) leaves xunchanged. A function f that has an inverse is called invertible; the inverse function is then uniquely determined by f and is denoted by f⁻¹ (read f inverse, not to be confused with exponentiation).

Reflection on 11th March 2013

Today we watch some video in our lecture. Mr. Marsigid played seven videos. There are ‘What You Know About Math’, ‘English Degrees’, ‘Limits by Inspection’, ‘Golden x’, ‘Integer’, ‘Multiplying Eksponen’, and ‘Function’. All of videos have downloaded from www.studio4learning.tv.

‘What You Know About Math’ is a song about mathematics, it has unique lyric and funny music. It is all about mathematic that share by a song. It were sang by two boys with interactive dance. How an amazing song.

‘English Degrees’ talk about radian and degrees, what is radian, what is degrees, kind of them, and how to convert degrees into radian and from radian into degrees. We also learn many symbol that we use in degrees or radians. 

From ‘Limits by Inspection’ we learn that there are 2 condition to determining limits by inspection. There are some key to solve limits. First the key to determining limits by inspection is in looking at power of x in the numerator and the denominator. Then if the highest power of x is greater in numerator so the limit is positive or negative infinity.

‘Golden x’ or golden rule of algebra is talk about what should we do to solve an equation. What you do on the left side of the equation, you must also do on the right side. 

From video ‘Integer’ we know that an integer is a number that can be written without a fractional or decimal component. “Integers are like whole numbers, but they also include negative numbers ... but still no fractions allowed!”,said someone in this video.

‘Multiplying Eksponen’ tell us the laws of exponents and fractional exponents. It also explain every laws that has been given.

‘Function’ videos tell us that in mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. But there are many ways to describe or represent a function. A function can be described through its relationship with other functions, for example as an inverse function or as a solution of a differential equation.