Recent Tutoring Session Reviews
"Today we covered pre-calculus topics such as logarithms and exponential algebra, finding max, min and roots of functions using a graphing calculator, and understanding function behaviors. I left the student with additional practice."
"We covered the big ideas in calculus; what it is and what it is used for. These are important aspects and need to be understood by students to give reason and relevance to this somewhat abstract math subject. We then talked about the 2 main topics, differentiation and integration and what they are specifically. We then covered differentiation in more detail and finished by working a few optimization problems. The student is an intelligent student and learned quickly to complete one of the problems mostly on her own. She has aspirations of becoming an engineer and likes hands on projects. I intend to emphasize engineering application as much as I can with her calculus tutoring. The goal is to have her prepared and familiar with all the calculus topics for a freshman college course. Next week I intend to start on statistics and will review her performance to best plan a strategy so she can learn this subject and be prepared for a more formal college course."
"The student notified me that she wanted to do a double session in preparation for her test. We completed the study guide earlier than we'd expected so we went over the first half a second time. Along the way I reminded her of the rules for logarithms and she become more comfortable with the logic behind typical true/false questions. Then we moved on to some homework involving use of the derivative to minimize or maximize a function described by a word problem."
"In this lesson, we continued practicing everything from the previous session about critical numbers and local extrema, and then added in more on the second derivative/concavity and specifically the second derivative test for determining what type of local extrema a critical number is. We also covered the very challenging task of sketching f' from a picture of f, or sketching f from a picture of f'."
"We started our session by going over some physics worksheets the student's teacher had given the class to review certain concepts. They dealt with the electromagnetic spectrum, calculating the speed of light, examining some properties of light, and the concept of polarization as it relates to filters. All of the questions from the worksheets were conceptual, so we went through them one by one and discussed what the answer to each question would be in words. After working on physics, we switched over to calculus and continued discussing one of the student's homework assignments. The problems all dealt with integration, some requiring u substitution and others knowledge of the properties of natural logs or the exponential function. He had no trouble working through the integrals, and quickly understood the steps of u substitution after they were explained to him."
"The student and I worked mostly on complex integrals used to find various physical characteristics such as force and liquid pressure."