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Award-Winning Private Calculus Tutoring in West Jordan, UT

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Private In-Home and Online Calculus Tutoring in West Jordan, UT

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Session Summaries by Calculus Tutors

West Jordan, UT Calculus tutoring
Today, we prepared for her exam tomorrow. This exam will test specific concepts such as the Fundamental Theorems of Calculus, u-substitution with integration, estimation using finite sums, and integration using trigonometry functions and logarithmic functions. She did very well with u-substitution techniques, but must continue to practice in order to have a firm enough foundation to keep up with the progression of the course. In order to solve problems for the area between two curves, she should hold on to the idea that "the curve that is higher up has more area beneath it." Therefore, subtract the lower curve from the higher curve.
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West Jordan, UT Calculus tutoring
We spent our session today working on the calculator type of integrals, learning how to set up complicated integrals to find area and volume. We worked on a different approach to setting up integrals, rather than thinking about the area we are solving for, thinking about the individual wedges/shells that make up the integral because she has no problem finding the area/volume of shapes/solids.
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West Jordan, UT Calculus tutoring
We reviewed an assignment on setting up integrals to calculate volumes from revolving an area around the y and x axes. He should make sure to pay attention to small details in the algebra and arithmetic, as these are the only things that are preventing him from completely solving a problem from beginning to end.
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West Jordan, UT Calculus tutoring
In this lesson, we reviewed problems that involved applications of chain rule, product rule and quotient rule. We were required to apply these rules in terms of general functions f and g and then consult a table to plug in the specific value. I was very impressed with the student's independence on recognizing and executing chain rule, etc. Then we did a series of problems on finding the derivative of an inverse function without explicitly knowing the inverse. We extended this to finding the tangent line at a point on the inverse function. Lastly, we started related rates problems, which the student will continue in class.
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West Jordan, UT Calculus tutoring
In this session we went over exponential growth functions and their applications. The student struggled with some of the intermediary steps including properties of logs and exponents but they were all cleared up and she understood the overall concept well as she has seen the growth and decay functions before. Overall, the student did really well and I left her with more practice for her upcoming midterm.
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West Jordan, UT Calculus tutoring
We covered antiderivatives and many problems that were covered in class. We also solved problems that were a bit more involved such as U-substitution. Trig integration will be covered next time.
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