Award-Winning Test Prep & Academic Tutoring in Belleville, MI

"We focused our efforts of successfully solving problem 108 from his Practice Exam that had given us trouble in our first meeting. I prepared for the session by solving the problem and noting the core mathematical concepts that I used in doing so. The specific concepts that we covered during this session included angle notation, phasor notation, and polar notation, and how those three concepts relate to each other. We also covered addition, subtraction, multiplication, and division of complex numbers, and Euler's formula. While it seems tedious keeping track of all of the algebraic operations that are going on at once, we still succeed at moving through problems. We are working together to meet his needs by being as clear and explicit as possible during each step and taking as much time as necessary to explain things before moving on. He expressed a great deal more confidence during this session that we would be able to successfully work through the difficult problems of the exam in the time remaining before he sits the test in April. Since the student is allowed to bring reference materials into the exam with him I recommended beginning to work on a mathematics formula sheet as an aid. I left him with copies of the rules for operations with complex numbers, and the explanation of angle/phasor/polar notation. At the end of the session we made a plan for our next meeting. He is going to keep working through the exam problems and identify more trouble areas. I am going to work through solutions to a couple of the problems with which he has already provided me to present and explain on Friday. I think he scored a win today by both feeling much more confident moving forward, and that he will be able to solve the test problems with his electrical engineering background."

"During this, the student and I reviewed finding area of hexagon, heptagon, octagon, nonagon, and decagon given the side, apothem, or perimeter."

"Reviewed probability & combinations. Formula for selecting r things out of n total options, n C r is n!/r!(n-r)!. When considering total number of choices, e.g. select 1 out of 3 choices, or 4 out of 8 choices, and order doesn't matter, combinations should be used. In general, probability P = (# of ways the event can happen)/(total # outcomes). Explanation for Q6 is thus: there are 7 remaining options in the cooked fixings, and he must choose 4 of them. So therefore, number of all possible outcomes is 7 C 4 or 35. And then one must consider the number of combinations that contain garbanzo beans, which is 6 C 3 or 20. So the probability that his choice of 4 fixings containing garbanzo beans is 20/35 or 4/7. "