Disclosure Document
Tutoring in Math Lab
It is expected that each AP Calculus student will tutor twice per quarter in the math lab. Links
Information and Resources for BC Calculus:
College Board BC Calculus Test Taking Tips: http://apcentral.collegeboard.com/apc/members/exam/exam_tips/4046.html Tutorials and updates for the TI Nspire: TI Nspire Home page VIDEOS that may be helpful: http://online.math.uh.edu/HoustonACT/videocalculus/ Powerpoint Presentations by Greg Kelly that may be helpful: http://online.math.uh.edu/HoustonACT/ Derivative Matching Game Careers, salaries and applications for math skills: http://www.whenwilliusemath.com/ "I Will Derive" an entertaining video: http://www.youtube.com/watch?v=P9dpTTpjymE&NR=1 |
BC Calculus
My main objective in teaching AP Calculus is to
enable students to appreciate the beauty, structure, and value of
calculus. I want my students to become
independent learners. I want them to
learn the skills necessary for them to be successful in future classes that
require mathematics.
One of my main goals is for students to learn the successful communication of mathematics. I want them to know the proper terminology and language associated with each concept we learn. I want them to be able to express themselves both verbally and in written communication. The students sit in groups of 3 to 4 on a daily basis to help facilitate this communication process. Each student is required to have a graphing calculator and to bring it with them to class each day. I prefer the students use a TI-Nspire however, TI-83 or 84’s are fine. Course Overview: Review Chapter 1: Prerequisites for Calculus
Properties of Limits
Increasing/decreasing intervals Point(s) of Inflection Concavity Curve sketching
Chapter 6: Differential Equations and Mathematical Modeling
Chapter 7: Applications of Definite Integrals
Area, volume, length of a curve, surface area of a solid of revolution Work, fluid force Chapter 8: L’Hopital’s Rule, Improper Integrals, and Partial Fractions
Trig Substitution
Chapter 9: Infinite Series
Direct comparison Test Ratio test Integral test Limit comparison test Alternating series test (Leibniz’s Theorem) p-test
Chapter 10: Parametric, Vector, and Polar Functions
Length of a curve, surface area of a solid of revolution
Using vectors to describe motion in the plane
Area, length of a curve |