Recent Tutoring Session Reviews
"We covered a further review for the student's test. Today we spent time discussing inverse matrices, solving systems of equations using matrices, exponential simplification, word problems involving systems and optimization problems."
"Tonight we finished reviewing for his test tomorrow on definite integrals and average value theorem. Overall the student is understanding the calculus, with only minor mistakes that he has been making previously with regards to applying the chain rule or substitution methods. I suggested he simplify as much as possible before plugging in the limits to reduce as many algebraic mistakes as possible. I also suggested he use parentheses when subtracting the second value using the fundamental theorem of calculus to prevent mistakes in keeping track of positive and negative values. Once we worked through these strategies to organize his work, I think it made it more clear how to evaluate the problems and keep track of his work a bit easier."
"For the second review session for the upcoming midterm, we looked at double integrals a bit more, and I provided some materials that have helpful tips on how to do these types of problems. Then we went over many questions from past exams, on normal and tangential acceleration, optimization problems and normal/ tangent planes and vectors. The student has been doing some practice exams under timed conditions and will try to do a few more practice exam questions before the test."
"The student wanted to review a little for her calculus final. We did a little work on Taylor expansions and the error approximation theorem. She also wanted to double check a few ideas to see if she understood them correctly. She should do well on her final."
"We started going over how integrals work and why we use them. I explained to the student that integrals are used to find the area underneath the curve. He needed help with understanding the concepts of integration, but I explained to him that it is drawing rectangles under the curve and adding all the areas together. If we integrate, we let the number of rectangles within the interval go all the way to infinity and add those areas."
"The student's final exam is coming up soon, so we continued working through problems from his study guide. We covered volumes of revolution using the washer method. We solved several first order, linear differential equations by separation of variables and then integrating to find the solution. We also worked through some simple derivative problems as well, focusing on the chain rule."