## Saturday, December 14, 2013

### Teaching Math 5H: UNIT 6 Applications of AntiDerivatives Quarter II Weeks 4&5

Teaching Math 5H:
UNIT 6 Applications of AntiDerivatives

Quarter II Weeks 4&5: 12/2-12/13
We started CH6: Applications of the AntiDerivative! We focused on the Betty Sue problem and the importance of adding a constant C (see below). We talked about horizontal and vertical strips in our Riemann Statements for finding area between curves and Volumes of Revolution.

UNIT 6 Applications of AntiDerivatives:

Quarter II Week 3: 11/25-11/29
This week we continued our discussion of AntiDerivatives by introducing The Fundamental Theorem Parts I and II! We went over a MCQ Monday on Monday and did the Fundamental Theorem on Tuesday. This was a short week due to Thanksgiving, so we had GAMEDAY on Wednesday. Fun was had by all!

Since we were covering Indefinite Integrals this week, we had to do the Betty Sue FRQ and sing the song

Also, next week is December already, so we start practising our preCalculus and Calculus Carols!

Quarter II Week 2: 11/18-11/22
This week we continued our discussion of AntiDerivatives and Riemann Sums! We focused on Scientific Computing. IE: we wrote programs in TI89 BASIC demostrating the Numerical Methods for definite integration: LSUM, RSUM, MSUM, TRAP and SIMP!

Quarter II Week 1: 11/11-11/15
This week was all about AntiDerivatives and Riemann Sums! We talked about Right Riemann Sums as exact limits. Next week we'll have to right some TI89 code! We also started talking about solving Variable Separable Differential Equations.

UNIT 5 AntiDerivatives and Riemann Sums:

Quarter I Week 9: 11/4-11/8
We finally finished with UNIT 4: Application of Differentiation this week. We programmed Newton's Method in TI89-BASIC. We also covered related rates. Next week is all about AntiDerivatives and Reimann Sums!

Quarter I Week 8: 10/28-11/1
We're nearly finished with UNIT 4: Application of Differentiation this week. We programmed Newton's Method in TI89-BASIC. We also started related rates this week.

Quarter I Week 7: 10/21-10/25
We started UNIT 4: Application of Differentiation this week. We started talking about IVT, MVT, Min/Max and Optimization!

UNIT 4 Applications of Derivatives:

Quarter I Week 6: 10/14-10/18
This week we finished UNIT 3 with a discussion of the Chain Rule, Implicit Differentiation, Min/Max and Related Rates.

Quarter I Week 5: 10/07-10/11
Out sick.... However, I did start using DropBox, see above!

Quarter I Week 4: 9/30-10/04
We started UNIT 3 about Differentiation! We derived the Product and Quotient Rules. We did all 6 Trig Rules. We started talking about the Chain Rule.

UNIT 3 Differentiation Rules:

Quarter I Week 3: 9/23-9/27
We finished UNIT 2 with a test! Our last topic concerned the existence of the derivative. BTW, we start with UNIT 2 since UNIT 1 is just a review of PreCalculus. We did a bit of that in 106 and 107 on Conics and Polar Notation.

Quarter I Week 2: 9/16-9/20
We are almost finished with UNIT 2: Continuity and Differentiablility! We demostrated the Power Rule using the Definition of the Derivative as the limit of the Difference Quotient. We even started the Trig Rules!

Quarter I Week 1: 9/9-9/13
AP Calculus BC started with a preCalc review in the form of the topic of Conic Sections! This is a great topic to review Cartesian and Polar Coordinates, as well as some algebra, trig and TI89 usage!

UNIT 2 Limits and Derivatives:

Well, that's all folks!

Sincerely,
A. Jorge Garcia
Applied Math, Physics and CS

Teaching with Technology,
mathforum apcommunity