Calculus 12 - Challenge 5 Results

Close one as the Fantastic Four and Team Asia?? submitted their answers at the same time.  Fortunately for Team Asia??, they had a more complete proof for problem 1 compared to the Fantastic Four so they earn 4 points.  The Fantastic Four will pick 3 and The Conquistadores will earn 2.

Also all teams earned 2 extra points for completing proof 4 but I will give the Conquistadores an extra point because Emile proved it in a completely different, yet legitimate way.  Math is wonderful that way!

Scores are now
Team Asia - 17
The Conquistadores - 18
The Fantastic Four - 12
Team ?? - 14

Also examples of Implicit Differentiation are shown below.

Calculus 12 - Chapter 3 part 1 test Thursday

Please have the following complete by Thursday!

3.1a p.181
#3-6 (pick 1)
#7-16 (pick 2 odd, 1 even)
#17-20 (pick 1)
#37

3.1b p.181
#19, 25
#35, 52

3.2 Exercises p.189
#1
#5-8 (pick 2)
#13-16 (pick 2)
#11, 33, 45

3.3 Exercises p.197
#1-4 (pick 1)
#5-10 (pick 2)
#12, 14, 16 (pick 1)
#17-19 (pick 1)
#25, 33, 35

3.4 Exercises p.205
#7-12 (pick 2)
#17-20 (pick 1)
#29, 37
#59, 63

3.5 Exercises p.215
#5-8 (pick 2)
#11-16 (pick 2)
#23
#25-28 (pick 1)
#29-32 (pick 1)

Also 3.4 Lesson is below

Calculus 12 - Pi Day Challenge Winners!

Got around to marking the Pi Day Challenge questions and here are the winners!

The Fantastic Four earn 4 points for getting all things correct but having a slightly more amusing answer to the last question than The Conquistadores.

The Conquistadores earn 3 for getting all things correct.

Team ?? earn 2 because of not giving exact values and Team Asia earn 1 because of not giving exact values and not getting the most efficient attack correct (though I will give them props for their subliminal messages on the last question)

Scores are now Team Asia with 10, The Conquistadores with 13, the Fantastic Four with 7 and Team ?? with 8.

Unfortunately with Challenge 3 (from Tuesday) I didn't include a tiebreaker question and everyone had good answers so no point was earned from that.  Although hopefully it makes you guys think a little more about the cool relationships the various formulas you have studied in physics have with each other.

UPDATE: Carrie played a very dominant Cammy in today's Street Fighter tournament and earns Team Asia another point.

Also good job to everyone for attempting the proofs and doing a good job for the most part.  Most impressed with Katie's attempt at proving the fourth equation and had she more time I'm sure she would have gotten it.

Will post an update to the scores later this weekend once I get around to looking at everyone's proofs.

Calculus 12 - Trig Derivatives

Assignments for 3.3 are

Complete 3.3 Exercises p.197
#1-4 (pick 1)
#5-10 (pick 2)
#12, 14, 16 (pick 1)
#17-19 (pick 1)
#25, 33, 35

Here is the graph for the visualization of the derivative of sine and cosine
https://www.desmos.com/calculator/9bku9ib4jz

Video hopefully up later this evening along with the video for 3.2

3.2 Proof of Product Rule and Quotient Rule



Will put up the examples of Trig derivatives tomorrow night!

Update: Examples for Trig Derivatives

Calculus 12 - Power Rule, Exponential Rule, Product & Quotient Rule

Assignments so far in Chapter 3

3.1a p.181
#3-6 (pick 1)
#7-16 (pick 2 odd, 1 even)
#17-20 (pick 1)
#37
3.1b p.181
#19, 25
#35, 52

3.2 Exercises p.189
#1
#5-8 (pick 2)
#13-16 (pick 2)
#11, 33, 45

Below is a video describing 3.1 and some examples.



3.2 Proof of Product & Quotient Rule and some examples.

Calculus 12 - Derivatives of Polynomials

Only one assignment for Chapter 3 so far.

Complete 3.1 Exercises p.181
#3-6 (pick 1)
#7-16 (pick 2 odd, 1 even)
#17-20 (pick 1)
#37

I did not have time to make a video for the class yet (lost power Saturday and busy Sunday) so the ones from Khan Academy will have to do.

https://www.khanacademy.org/math/differential-calculus/taking-derivatives/power_rule_tutorial/v/power-rule

You probably only need to watch the first video (Power Rule) and the third video (Derivative Properties and Polynomial Derivatives).

I'll try to get my own uploaded soon so it's a better match to what we normally do in class.

Also congrats to Team Asia for winning our Pi Day Street Fighter challenge.  This brings them up to 9 points (within 1 from the first place Conquistadors).  I will add more once I finish going over the rest of the Pi Day Challenge assignment.

Calculus 12 - Assignments so far for Chapter 2

So here are the assignments for chapter 2 so far.

2.1 Exercises p.86
• #1, 2, 5, 6, 9
2.2 Exercises p.96
• #2-4
• #10, 11, 17
• #19-22 (pick 1)
• 2.2b Worksheet
2.3 Exercises p.106
• #1,2 (pick 3 in each)
• #3-9 (pick 3)
• #15, 18, 24, 31
• #35, 37, 48, 54
2.5 Exercises p.127
• #3
• #5-8 (pick 2)
• #13, 16, 20, 23
• #40, 44, 45
• #50, 51, 67
2.6 Exercises p.140
• #1, 4
• #5-10 (pick 2)
• #11
• #15-20 (pick 2)
• #21-28 (pick 2)
• #36-38 (pick 1)
• #47

I will put up videos of our lessons later this weekend in case you needed a refresher on what we did this week.

Here are videos to help explain 2.5. I will try to get a video up of 2.6 tomorrow along with a video for 2.7.

Calculus 12 - More Limit Laws!

Today's assignment:
 - Complete Exercises p.107 #15, 18, 24, 31

And here's a video about today's lesson!

Calculus 12 - Limit Laws!

Today's assignment:
 - Complete Exercises p.106
 - #1,2 (pick 3 in each)
 - #3-9 (pick any 3)

Hopefully I can put a video up of this lesson later tonight.

And here is the video!

Calculus 12

Today's lesson can be found here
http://youtu.be/izy-aEIsl1I

The assignment can be found here

Yesterday's assignment was
p.96

• #2-4
• #10, 11, 17,
• #19-22 (pick 1)

Calculus 12

Test time tomorrow!

Please have the following assignments completed.

1.1 Exercises p.19
• #1-4
• #6-10
• #11, 13, 17
1.2 Exercises p.33
• #1, 3
• #8, 10
• #15, 17, 19, 25
1.3 Exercises p.43
• #1, 3 (pick 2 in each)
• #4, 5 (pick 2 in each)
• #10, 15, 21
• #29, 35, 37, 41, 43
• #51 (pick 2)
1.5 Exercises p.57
• #3, 4
• #5, 9
• #17 (pick 3)
• #21, 22
• #24, 29
1.6 Exercises p.69
• #1, 2
• #3, 5, 6, 11, 12
• #15, 18, 20
• #21, 23
• #29
• #33, 34
• #35, 37, 39
• #51, 53, 55, 61
BONUS: Ch. 1 Review p.73 (+30)
• #1, 5, 7
• #9, 10 (pick 2 in each)
• #11, 15, 17
• #19, 21, 24, 25ab, 27

Calculus 12 - Arocena Cup Update

First, 1.5 assignment is as follows
1.5 Exercises p.57
• #3, 4
• #5, 9
• #17 (pick 3)
• #21, 22
• #24, 29

Also teams for the Arocena Cup have been made.

Returning from last semester's PreCalculus 12 class

Team Asia - Samira, Carrie and Charles

The Fantastic Four - Dakota, Caleb, Dara and Colter

And new this semester

Team BAE - Becket, Alex, Emile

Team ? - Sarah, Katie, Alison

First challenge was accepted and it was Team BAE who came up with the best solution first for making the most money.  Team ? had a good idea as well, but it was not going to make as much money as what Team BAE suggested.  So first point to Team BAE.

However Team ? was able to gain a point for themselves as they won the inaugural Calculus 12 Street Fighter 4 Friday tournament.

So scores are

Team ? - 1

Team BAE - 1

The Fantastic Four - 0

Team Asia - 0

Looks like some fierce competition this semester.  Good luck to everyone!

Calculus 12 - Assignments

So far the following has been assigned.  Remember I will collect assignments on test day.  Also don't be afraid to come ask me for help or ask questions in class regarding some of the problems (especially the even numbered ones!)

1.1 Exercises p.19
• #1-4
• #6-10
• #11, 13, 17
1.2 Exercises p.33
• #1, 3
• #8, 10
• #15, 17, 19, 25
1.3 Exercises p.43
• #1, 3 (pick 2)
• #4, 5 (pick 2)
• #10, 15, 21
• #29, 35, 37, 41, 43
• #51 (pick 2)

Also you guys need to make teams for the Arocena Cup!  If no teams are made by the end of the week I will make teams and assign you to them on Monday.