Inverse Functions and their Derivatives. Various Worksheet/homework problems on Inverse Functions and use of the Chain Rule for Derivatives.
Assignment
None
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
During today's Calculus session with Madison, various high level problems involving Inverse Functions and their Derivatives were discussed and worked out. Madison is a uniquely talented and skilled student who understands very complex mathematical concepts and methods-she is a pleasure to work with.
Physics mass/pulley systems. Test preparation for static friction and Force /Acceleration relationships for a spring-mass system.
Lesson Outline
Physics mass/pulley systems. Test preparation for static friction and Force /Acceleration relationships for a spring-mass system. Free body diagrams to calculate static equilibrium forces, tension in pulley etc.
Assignment
None
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Today's tutoring session with Madison was centered on preparing for a Physics unit test. As usual, Madison was very respectful and worked diligently with me to understand key concepts such as Free body diagrams with friction forces. She is doing introductory engineering work which will prepare her well for her undergraduate studies next year.
Derivatives of functions, Chain Rule of Derivatives
Lesson Outline
Derivatives of functions, Chain Rule of Derivatives : Finding derivatives of functions using limits of x . Examples of chain rule. Inverse functions and relationships.
Assignment
None
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Madison was well focused and engaged in our topics of Derivatives of Functions, Chain Rule of Derivatives, and Inverse Functions. Glad that she is back in class following her recent injury.
Calculus BC: Limits and Continuity of Algebraic Functions
Lesson Outline
Calculus BC: Limits and Continuity of Algebraic Functions. Determining limits of various types
of non-linear functions. Use of TI-84 graphing calculator to program and plot graphs of various algebraic functions to identify continuity (or holes) and limits. Logarithmic functions and vertical/horizontal asymptotes.
Assignment
None (continue with AP classroom assigned homework probs.)
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
During this first Calculus BC tutoring session with Madison, the main objective was to explore her Math background and problem-solving skills. Madison is a very bright and capable Math student who has had a negative experience with Calc BC in her defunct FLVS course. We worked on determining limits of non-linear functions/equations using the TI-84 programmable calculator. Very encouraged to know that Madison aspires to pursue a Mechanical Engineering degree next year.
