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Award-Winning Trigonometry Tutors in Salt Lake County, UT

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Session Summaries by Trigonometry Tutors

Trigonometry Tutoring review by Zachary in Salt Lake County, UT
Today, the student and I worked on Taylor and Maclaurin series and polynomials. We worked through several examples of finding Taylor and/or Maclaurin series and polynomials for various functions. We also worked on finding errors for approximations using these polynomials.
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Trigonometry Tutoring review by Grant in Salt Lake County, UT
Today, we focused on multiplying with 6's, as well as two multiplication tricks we'd done earlier: 1. When multiplying numbers that end with zero, instead do the "root" number that doesn't have a zero and then add the zero to the end later. (For example, 6x40=240 because 6x4=24.) 2. If you can't remember the product of two numbers, find something "nearby" first and then count up or down. (For example, if you can't remember 6x5, use 6x4=24 and then add 6 to get 30.)
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Trigonometry Tutoring review by Jerilynn in Salt Lake County, UT
Today, we focused on reviewing for the student's calculus final. We reviewed evaluating double and triple integrals in rectangular, cylindrical, polar, and spherical form. We practiced transforming an equation in rectangular form into various coordinate systems of u and v. We talked about finding the Jacobian for a given transformation and how to use the Jacobian to rewrite an integral in dudv format. We went through finding the equation of a plane given three points, and we practiced setting up triple integrals to calculate the volume of a solid. We reviewed how to integrate functions with powers of sine and cosine, and we talked about how to integrate functions with powers of tangent and secant. We looked at gradient fields and talked about some of the different types of potential curves for a given gradient field. Lastly, we went through solving line integrals by parameterizing the r and F vectors to change them into a single integral with respect to t.
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Trigonometry Tutoring review by Cody in Salt Lake County, UT
Today, we got more in depth with calculating surface area using orthographic and isometric drawings. The student seemed to be a bit more engaged in this activity because he enjoys drawing, but he did need assistance with where to place the dimensions. Therefore, I gave him a way to visualize a 3D object into an open 2-D object by labeling each face of the 3-D object.
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Trigonometry Tutoring review by Christopher in Salt Lake County, UT
Today, we introduced the idea of optimization problems, a very common subject in calculus. We haven't done a lot of this type of story problem so far this year, so it will be interesting to see how the student adapts to them (so far so good). At the very end, we briefly discussed piecewise functions and their graphs. He had seen these earlier in the context of absolute value, but we had not looked at them generally. After class, I sent him some websites containing some worked-out examples of optimization problems as well as some algebra final exams of varying difficulty to practice on.
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Trigonometry Tutoring review by Kendra in Salt Lake County, UT
Today, we kept working on finding the surface area and volume of different three-dimensional shapes. The student did really well at knowing how to use the different equations. She did, however, struggle a bit when the shapes got more complicated. We worked on breaking these shapes down, assessing how to alter the equations and how to find missing/unlabeled sides using the Pythagorean theorem. Volume is definitely easier for her, and we will keep practicing surface area as needed!
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