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AwardWinning Private PreCalculus Tutoring in Buckner, KY
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Private InHome and Online PreCalculus Tutoring in Buckner, KY
Receive personally tailored PreCalculus lessons from exceptional tutors in a oneonone setting. We help you connect with inhome and online tutoring that offers flexible scheduling and your choice of locations.
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Recent Tutoring Session Reviews
"Today, the student needed help getting a handle on arithmetic and geometric sequences, as well as Pascal's Triangle and finding the sum of powers of integers. We began by going over what an arithmetic sequence is and what the common difference is. From that, we learned how to write an explicit and recursive formula for an arithmetic and geometric sequence. We also saw how to use a formula to find n when given A1, An, and Sn (the sum of the sequence). We then established a "catch all" formula for a geometric sequence. The student then learned how to generate rows of Pascal's Triangle. Next, she saw how those rows related to the coefficients of a binomial expansion. There is a lengthy process for finding the coefficients of a binomial expansion, but we saw that it is (probably) faster than doing the "foil" method over and over again. Finally, the student learned how to use formulas for powers of integers. She also learned a story of how the mathematician Gauss (allegedly) derived the formula for the sum of "n" integers. The student's logic and critical thinking skills are fantastic and she is so quick to learn and pick up on patterns. She has a test tomorrow; good luck!"
"We used today's session to continue reviewing the properties of complex trigonometric functions and vectors. I had the student take a practice test, focusing on time to completion and reviewing important concepts as they arose. Overall, he has a great feel for the material. He needed some guidance in a few instances. For example, he forgot the Pythagorean identity for trigonometric functions. Once I began explaining the concept, he immediately remembered and could quickly move to the next step in solving the problem. He has a great understanding on how to solve each problem, along with the logic and flow of the problem sets. At this point, I emphasized that he needs to focus on studying the important properties and identities in each problem as opposed to working through each problem over and over again. At this point, it is just a matter of fine tuning the little nuisances to each problem. In short, I anticipate that he will do outstanding on this test."
"We have covered the homework/preparation worksheet prior to the Tuesday's test in precalculus. The problems included limits of rational functions, where after finding 0/0 singularities, synthetic division was used to get the limit value. Other problems included drawing functions of a single variable, often piecewise, and evaluating limits of these functions, both left and right limits. Problems also included determining whether piecewise defined function is continuous.
The extra credit question we covered involved designing function that has one removable discontinuity, one infinite discontinuity, and one jump discontinuity.
We also solved one epsilon/delta problem.
The student's skills are high and he is fully prepared for the exam. The student is confident in his ability to perform well on the test and has the strategies, skills, and accuracy to ace the test."
The extra credit question we covered involved designing function that has one removable discontinuity, one infinite discontinuity, and one jump discontinuity.
We also solved one epsilon/delta problem.
The student's skills are high and he is fully prepared for the exam. The student is confident in his ability to perform well on the test and has the strategies, skills, and accuracy to ace the test."
"The student and I covered common and natural log expressions. She struggled the most with remembering the forms of the exponential expression and the logarithmic expression and how they are the opposite of each other. She also struggled with natural logs and how they are just the same thing as log with a base of 'e'. With more and more practice problems, she started to understand. We also went over two log properties, which were subtracting log of the numerator by log of the denominator if there is a division sign (same thing as fraction) and if the log of whatever number is raised to an exponent. She got these rules with more ease. She is practicing more of these problems, so she doesn't get confused with the different forms."
"Today we talked about ellipses. We began the lesson by introducing the parts and terminology of the parts of an ellipse (including major and minor axes, foci, and the center). The major axis has length of 2a, and the minor axis has length of 2b. It is implied that a>b. The distance from the center to a focus is c, where c^2 = a^2  b^2. Then I talked about the general equation for a horizontal and vertical ellipses, which is [(xh)/a]^2 + [(yk)/b]^2 = 1 (horizontal; switching a and b gives the vertical), with center being at (h, k). I talked about the locations of foci as well. I began the practice problems by giving her the equation of an ellipse. I summarized the steps as follows: find the center, values of a, b, and c. Decide whether it opens horizontally or vertically, then decide the locations of the foci and the endpoints of major and minor axes, and finally graphing. I walked her through 23 problems like these. I let her do the work herself. Each time she got more fluent with some experience, which I was happy about. Next, she gave me the characteristics of an ellipse and asked me to help her to find the equation. I explained the procedure as follows: find a, b, and the center, then decide which way it opens (horizontal or vertical), then write down the general equation of ellipse and plug everything in and ... done. She managed to get better each time she did this. She said she understood this much better which made me very happy."
"Today, the student and I continued preparing for her upcoming PreCalculus final. We looked at a couple of her old tests and worked through all of those problems again together. First, we worked on finding limits and solving derivatives. She was struggling with understanding how to find derivatives. Although she was able to set them up much better by the end of our session, she still had difficulty solving for them, which is something I want to reinforce a bit more strongly in our next session. For the last part of our session, we covered series and sequences. She seemed to understand these better, and she will have her test in this area next time I meet with her, as well, so we can go over those problems."
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(502) 3544657
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