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Private In-Home and Online Math Tutoring in Redondo Beach, CA

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Session Summaries by Math Tutors

Redondo Beach, CA Math tutoring
This session, I recommended a large review of fundamentals of calculus in preparation for the cumulative exam in December. This included a review of basic derivatives and integrals of the natural log of x, e^(x), sin(x), cos(x), and x^n. We then went on to cover the chain rule, the product rule, and the quotient rule. We worked through many examples of taking derivatives of more complicated functions. We worked through more examples and eventually worked through a tough example of a derivative that involved using the chain rule, the product rule, and the quotient rule. We still had a half an hour to review telescoping series again. This time, the student grasped the material even more. We went over again that a telescoping series is one in which the middle terms cancel each other out. This was by far our most productive session. 5/5 stars.
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Redondo Beach, CA Math tutoring
We covered exponential addition, subtraction, multiplication, and division. This section mostly focused on the exponents with relation to the term e.
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Redondo Beach, CA Math tutoring
The student and I went over a past assignment. She corrected any wrong answers and did very well with understanding the mistakes she made.
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Redondo Beach, CA Math tutoring
The student begins the next semester with inverse functions. We went over three separate pieces, and I showed him the connection that will be made. Next we performed inverse functions, switching x and y and then solving for y. Then we went over the notation for exponents and solved equations with real numbers. Here, he had to recall some of the exponent language and rules we learned algebraically. He felt confident by the end that he was on track.
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Redondo Beach, CA Math tutoring
The student corrected problems from a previous exam. She had made some mistakes in her procedures and as we worked through the problems, she would instinctively skip over steps with an answer. Most of the time her answer was correct, but a number of times she had made a sign error or some other mathematical error. I asked her to write out each step so she can start minimizing errors.
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Redondo Beach, CA Math tutoring
We covered FTC parts 1 and 2. In part 1, there were exercises on finding derivatives of integrals involving switching of variables. These are tricky when the limits of integration are reversed and the limit is something other than a constant or x. I've sent the student an explanation of the process with a couple of worked examples. We then covered part 2 and evaluated some definite integrals. We checked answers using the integral function on a TI calculator.
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