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## Session Summaries by GMAT Tutors

[COVERED]: We began with a discussion of pendula as the other example of SHM. We began with a graphical analysis and a summary formula that I likened to the situation for inclined planes. We discussed the formula for angular velocity and how it relates to acceleration. We ran two problems: one on quantitative comparison and one on changes in potential energy. Having discussed that, we moved on to our main topic of electrostatics. We began by discussing charge, its units, and current flow. Next, we analyzed Coulomb's Law, comparing it to the Universal Gravitation Law. We discussed the main metaphor of electrostatics. We defined electric fields and discussed their diagrams and summary points. We used an example problem in electrostatics to show how symmetry and logic can be used to solve them. We discussed electric dipoles, inducible dipoles (dielectrics), and how they react in external electric fields. We applied our perpendicular/parallel analysis to how electric fields modify the motion of charged particles, which raised a discussion of what determines whether curved motion is parabolic or circular. We discussed electrostatic potential energy, comparing it to gravitational. We then moved on to voltage. We then ran a few problems connecting voltage to energetics. We discussed how membrane potential is generated and analyzed the energetics of secondary active symporters, linking work and delta-g and bioenergetics. We worked on ionic vocab a little in the context of discussing that. [PROGRESS/CHALLENGES]: The problems really helped the student integrate the theory we discussed today. In addition, the problems in voltage shored up his understanding of the link between changes in potential energy, kinetic energy, and the work done by conservative forces. He had partially completed his math assignments, and that helped him solve the problems. In addition, the problems reinforced his understanding of vector components. I think today he grasped how to decide when a problem described parabolic vs. circular motion. [EXTRA PRACTICE]: The student will continue his math review and review the concepts we discussed today, as well as work on memorizing units and their relationship to certain formulas. In addition, he will study atomic structure, periodic trends, and bonding. We will review those topics briefly as necessary.