Award-Winning Calculus Tutors serving Westminster

Today we continued doing practice problems involving optimization, sketching graphs, and L'Hopital's rule. We went through different ranges of difficulty with each type of problems. The student is definitely working through the problems more quickly than the past couple of sessions. He has the concepts and steps down. We are planning to go over the practice final tomorrow for his final on Friday.

We completed the rest of the student's review packet. I made sure to point out how to be careful when doing implicit differentiation. We talked about how the derivative is just the slope of the tangent line. She was doing very well in geometry so we quickly went through the chapters making sure she was okay with the definitions and theorems.

The student had specific questions on the review package she had from her teacher. We covered absolute extrema for functions using the derivative; derivatives involving exponentials and logarithms, expo and log equations and implicit differentiation.

We met an extra time this week to help the student prepare for her final exam. We finished going through problems on her review. The problems involved linearization, Newton's Method, and word problems involving optimization.

We continued working on the student's calculus overview assignment she received from break. This focused more on critical numbers, extreme, and points of inflection applications. I have encouraged her to continue using graphs to reason through problems.

The student had a homework assignment from class covering the application of the product, quotient and chain rules for solving derivatives. He seems comfortable using the actual calculus concepts, but still has some difficulty with the algebraic techniques necessary to manipulate equations into forms which the calculus rules apply to. To help with this I have started preparing short quizzes for the beginning of our sessions that provide practice examples for the algebraic techniques. The student told me that he felt the quizzes were definitely helping him to understand the material, and I also have seen an improvement in his ability to correctly manipulate the problems.