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# Award-Winning Private Pre-Calculus Tutoring in North Aurora, IL

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### Private In-Home and Online Pre-Calculus Tutoring in North Aurora, IL

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## Session Summaries by Pre-Calculus Tutors

We continued to review t-tests, finding the estimated standard error, calculating degrees of freedom, and using the t-tables to find critical values.
We went over math problems from the student's school workbook, specifically square roots and squaring. By the end of the session, she was able to do the problems correctly.
The student wanted to go over a new section on differentiation of logarithmic functions. We went through several practice and homework problems. She seemed to understand the topic very well.
For today's session, the student and I reviewed some of the sections she's been working on in class. We reviewed arithmetic and geometric sequences and series, partial sums, and the binomial theorem. We also did a few practice problems.
Today we covered some concepts from the new chapter that the student is working on as well as really clarifying some of the things that were still confusing him about partial fraction decompositions (involving repeated factors). In the new chapter, we went over matrices, row echelon and reduced row echelon form, Gaussian elimination with back-substitution, and Gauss-Jordan elimination. It was also pointed out how to identify matrices that have no solution. I addition to that, we covered the difference between an augmented matrix and a matrix in AX=B form. He initially struggled with some of the material, but after some explanation, as always, he managed to comprehend and do the work on his own as well.
The student worked on her homework. We talked about how to graph different kinds of functions and the parity of the function: even, odd or neither. We did some extra work with this to help her understand it. We also worked on histograms and statistics quantities and which ones were relevant for the data we had. Finally, we talked about graphing lines and finding points of intersection.