Calculus 2017-2018:
Derivatives & AntiDerivatives
(October)
UNITS 4&5 ScreenCasts
Following UNIT03, Introduction To Derivatives, UNIT04 was about Applications Of The Derivative including the Mean Value Theorem, the 1st & 2nd Derivative Tests, the Closed Interval Theorem aka the Min Max Theorem aka the Candidates Theorem as well as Implicit Differentiation, Related Rates and Newton's Method. We had fun writing a newGuess() function in TI-BASIC on our TI nSpire CX CAS handhelds! We also wrote a program newt() to automate the calls to newGuess() in order to fill in our convergence tables!
UNIT05 was an introduction to Anti-Differentiation. We had fun finding areas using the Fundamental Theorem Of Calculus. We also enjoyed evaluating areas setting up Riemann Sums and finding the limit the old fashioned way. We introduced Variable Separable First Order Ordinary Differential Equations too! We finished up with U-Substitution as the traditional end of our AB Calculus Review. UNIT06 will about about Applications Of Anti-Differentiation which is typically part of AB Calculus too, but we will start introducing some more advanced Anti-Differentiation Techniques starting the BC material.
UNIT05 was an introduction to Anti-Differentiation. We had fun finding areas using the Fundamental Theorem Of Calculus. We also enjoyed evaluating areas setting up Riemann Sums and finding the limit the old fashioned way. We introduced Variable Separable First Order Ordinary Differential Equations too! We finished up with U-Substitution as the traditional end of our AB Calculus Review. UNIT06 will about about Applications Of Anti-Differentiation which is typically part of AB Calculus too, but we will start introducing some more advanced Anti-Differentiation Techniques starting the BC material.
1st YouTube Wednesday: Tom Lehrer
October YouTube Wednesdays
Well, that's all folks!
Teaching with Technology,
AJG
A. Jorge Garcia
Applied Math, Physics & CompSci
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