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Private In-Home and Online Calculus Tutoring in Orange, CA

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Session Summaries by Calculus Tutors

Orange, CA Calculus tutoring
Session One Tutoring Review During the student's first session, we focused on Tutoring Goal(s) 1,2, 3, 5, and 6, which involved building a solid foundation and understanding in the concepts of algebra, problem solving techniques, word problem solving, building her confidence, and beginning the discussion on not comparing her abilities to other people's abilities. Our session covered the basic topics that she is learning and identified the areas that she may not be as confident in as she would like. We covered a large amount of topics today, and she began to identify areas that she is concerned about. Below is a synopsis of the topics we discussed: We reviewed solving linear equations with more than one x- term. We began discussing factoring and applying factoring techniques early so that she will be ahead when she soon begins those types of equations We discussed the meaning of f(x) and its association with the variable y. We discussed powers of numbers and how those properties apply to variables. We reviewed solving equations with more than one variable. We reviewed dividing by fractions and the "swing dance" method of flipping the dividing fraction. We worked on how to solve word problems and how to break up a word problem so that the equation writes itself. We reviewed the majority of her homework. Student's Homework and our Plan for Session II: Our next session is scheduled for Saturday at 12:30pm. I asked her to complete her homework and to make note of any areas that may cause her confusion. I asked her to practice the methods that we learned today when she works through her homework and on her upcoming exam. Saturday we will have a brief overview of any concepts that she may not understand from her homework or lectures, and then we will focus on the problems from any current assigned homework. Notes: I found the student to be a very bright and intuitive girl. She easily grasped concepts that had been difficult for her when they were presented in a more visual manner. She is a visual and logical learner, and the use of boxes, different colors, alternative problem solving techniques, and clear explanations of the reasoning behind the problem solving make it very easy for her to grasp any new concepts. I enjoyed working with the student, and I think she is a brilliant student!
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Orange, CA Calculus tutoring
The session covered graphing derivatives, the formal definition of a derivative, continuity, and differentiability. The student seems to be absorbing the material very well. She was not struggling with most of her homework. I will bring additional practice problems in the future. This will help her fully internalize the concepts.
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Orange, CA Calculus tutoring
The student did his class homework over ratios and rates, then followed up by doing extra practice from his textbook.
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Orange, CA Calculus tutoring
I had given the student some homework to do, so we went over the homework and I made him explain a couple of problems. We then moved on to new material focusing on limits and derivatives. I again gave him some homework to complete so that he gets the proper practice with the material.
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Orange, CA Calculus tutoring
We went over review problems for the student's test tomorrow. They involved mostly marginal revenue and marginal profit problems. There was also one problem on compound interest, where he had to remember how to take derivatives and solve for exponents. He will study some more, and should do pretty well.
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Orange, CA Calculus tutoring
The student and I covered techniques of integration. We reviewed log/trig/inverse trig integrals. We then used u substitution to solve indefinite integrals. I emphasized the interpretation of composite fxns and presence of derivatives in integrals. We then completed initial value problems and solved differential equations.
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