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Award-Winning Private Pre-Calculus Tutoring in Syracuse University, NY

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Private In-Home and Online Pre-Calculus Tutoring in Syracuse University, NY

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Session Summaries by Pre-Calculus Tutors

Syracuse University, NY Pre-Calculus tutoring
Today's sessions was a Chemistry review. I explained to the student how to determine molarity and molality of disolutions. At first, he was worried because he didn't remember how to do this kind of Chemistry problem. I explained it to him, step by step. I told him what was wrong, and he tried a problem by himself. He solved it. He only needs a little explanation, a little push, and then he starts to do it all.
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Syracuse University, NY Pre-Calculus tutoring
We practiced using the quotient, reciprocal, and Pythagorean identities to simplify trig expressions and prove other trig identities. We went through various techniques for simplifying and solving trig equations and looked at how there can be more than one way to solve a trig expression. We practiced using factoring and other algebra techniques to solve trig equations. We also reviewed how to find all of the solutions between [0,2*pi) by using the unit circle and knowledge of which functions are positive or negative in the different quadrants. The student is doing better using the reciprocal and Pythagorean identities to solve for various trig functions given one or two trig values. She is also doing better simplifying and proving trig expressions and identities. If the student is comfortable working with these trig identities, we will start going through the last few trig identities during our next session.
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Syracuse University, NY Pre-Calculus tutoring
We reviewed right triangle trigonometry and introduced trig. identities into the mix this session. Then we had an introduction to the concept of an asymptote which is involved in the Algebra and Trigonometry parts of Pre-Calculus.
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Syracuse University, NY Pre-Calculus tutoring
We reviewed the practice exams taken last time, worked on sample placement exams from two universities of higher level, and discovered that the student has not covered some of the trig identities and graphs which are required by his high school syllabus. He is prepared for his exam tomorrow and we have the trig topics to cover to make sure we cover all the topics for his upcoming placement exam. He was happy with the practice exams, so I will send him some more to work on, and will continue to use them as learning tools, as I am confident of his math abilities.
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Syracuse University, NY Pre-Calculus tutoring
We reviewed the questions the student missed on the first two exams and continued with the first section of trigonometry, going over specifically the graphs of tangent, cotangent, secant, and cosecant. He struggled to remember how to find the zeros and asymptotes of the graph of cotangent, so we discussed how these could be derived from the formulas for tangent and cotangent. He received an A on his most recent exam, a big win!
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Syracuse University, NY Pre-Calculus tutoring
We reviewed the student's final exam, found limits of drawn functions, solved trig functions in a given range, solved points of discontinuity, translated an ellipse to standard form and sketched. We also found the terms of a binomial expansion using Euler's triangle and calculated probability of compound binomial events.
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