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Saturday, November 30, 2013

Fibonacci Haiku: Personal Statements

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College
Applications
Personal Statements
Answer two prompts
What do I write about?
I need to make a good first impression
Knowing yourself is one thing, writing about yourself for a stranger is another.

Friday, November 22, 2013

SP#5: Unit J Concept 6: Partial Fraction Decomposition with RepeatedFactors


















     In order to understand how to solve this problem from Concept 6, the viewer must pay special attention to the steps taken when decomposing the fraction. Note that the powers increase for each repeated factor. Another thing that the viewer should focus on is the combining of the rows of the system. This action allows us to use the processes of elimination and substitution in order to obtain the answers for the variables. One last thing that should be recognized is the checking of the answers using the Reduced-Row Echelon Form (RREF) feature on a graphing calculator.

Thursday, November 21, 2013

SP#4: Unit J Concept 5: Partial Fraction Decomposition withDistinctFactors













    

     In order to understand how to solve this problem, the viewer should pay special attention to the algebraic means of obtaining a common denominator for multiple fractions. Furthermore, they should note the steps taken to distribute and combine like terms. When decomposing a fraction, one should be aware of how the terms are separated using letters. Finally, the viewer should keep in mind the method of utilizing the Reduced-Row Echelon Form (RREF) feature to check the answer on a graphing calculator.

Tuesday, November 19, 2013

SV#5: Unit J Concepts 3-4: Solving Three-Variable Systems with Gaussian Elimination & Solving Non-Square Systems



     In order to understand how to solve this problem, the viewer must pay special attention to the four steps of  Gaussian elimination. They are important to know, because they avoid the possibility of redundant or unnecessary work. Another thing that the viewer should take note of are the steps of checking answers using the Reduced-Row Echelon Form (RREF) feature on a graphing calculator.

Sunday, October 27, 2013

SV#4: Unit I Concept 2: Graphing Logarithmic Functions & Indentifying Key Parts





     In order to understand how to solve the problem, the viewer must pay special attention to the sentence: "The LOG's Xylophone was Happy and Rich." This means that the graph of a logarithmic function has an asymptote of x=h, and that there are no restrictions on its range. Another thing that the viewer should take note of is the use of the Change of Base Formula throughout the problem. This is crucial because it enables one to correctly input logarithmic functions into a graphing calculator.

SP#3: Unit I Concept 1: Graphing Exponential Functions & IndentifyingKey Parts


      In order to understand how to solve this problem, the viewer needs to pay special attention to the four parts of the exponential graph equation and how they affect the graph. Another thing to take note of is the fact that exponential graphs have an asymptote of y=k, which means that there are no restrictions on the domain (-inf. , + inf.). The viewer should also pay attention to how the range of the graph is written: from the lowest point to the highest point. Another thing to be aware of is the use of the 2nd TABLE function when obtaining the y-values of the key points.