## Thursday, December 31, 2015

### Calculus BC 2015-2016 December: The Calculus of e^x and ln(x)!

Calculus BC 2015-2016 December

The Calculus of e^x and ln(x)!

UNIT07 was all about differentiating exponential functions. We talked about the base e and any base a. Now we are starting to make a library of anti-derivatives of quotients like 1/x as well. As a result, we can handle more sophisticated Differential Equations and Slope Fields.

CALCULUS CAROLS 2015:

2 Days of Watson of Jeopardy!

Calculus BC + TI-nSpire CX CAS
SCREENCASTS

Well, that's all folks!

Sincerely,

A. Jorge Garcia
Applied Math, Physics and CS

Teaching with Technology,
mathforum apcommunity

### preCalculus 2015-2016 December: Conic Sections!

preCalculus 2015-2016 December

Conic Sections!

We spent all of December on CH10 Conic Sections. We talked about the General Form:
Ax^2+Bxy+Cy^2+Dx+Ey+F=0
and converting to standard form Parabolas, Ellipses, Hyperbolas using Completing The Square when B=0. When B was non zero, we converted to Polar Notation:
x=r*cos(theta), y=r*sin(theta)
We talked about the directrix, latus rectum, center, focus, parabolic mirrors, whisper gardens and planetary orbits! We even played with parametric mode and ballistic trajectories.

2 Days of Watson on Jeopardy!

preCALCULUS CAROLS 2015:

NEW preCalculus + TI-84plusC
SCREENCASTS:

Well, that's all folks!

Sincerely,

A. Jorge Garcia
Applied Math, Physics and CS

Teaching with Technology,
mathforum apcommunity

### AP CompSci 2015-2016 December: Conditional Statements!

AP CompSci 2015-2016 December

Conditional Statements!
December was spent mostly on CH6, LAB5, TakeHome5. We talked about boolean operators, if then/else statements and predicate methods! We even talked about DeMorgan's Laws, Truth Tables, BiConditionals, Tautologies and Equivalent statements:

2 Days of Watson on Jeopardy!

AP Computer Science + JAVA
SCREENCASTS

Well, that's all folks!

Sincerely,

A. Jorge Garcia
Applied Math, Physics and CS

Teaching with Technology,