Summer Homework

Chose one of the following.If you are taking AP Physics choose two. You may take two courses from edx.org

1. Take a class in math, engineering, science, or computer programming from edx.org.

2. Create a videogame using pygame.org and python.

3. Use every line of a notebook. Get a composition notebook and use every line doing problems from a textbook. The total area of the pages you use should be more than \(9 \times 10^4 cm^2\).
List of Textbooks:
Precalculus, Stitz and Zeager
Precalculus, OpenStax
Calculus for the Practical Man

4. Use the Euler's Method and Excel, Numbers, Python, or Octave to solve one of the following equations.
-FitzHugh-Nagumo (Neuroscience)
-Lotka-Volterra predator-prey model (Biology)
-Tolman-Oppenheimer-Volkoff (Astrophysics)
Style Points: Use Runge-Kutta method like a bonafide Howard.

5. DO NOT DO THIS IF IT IS ILLEGAL IN CHINA. Become a day trader. Go to poloniex.com and invest 40 RMB in Bitcoin. By the end of the summer raise your balance to twice the Bitcoin you started with by only trading.

6. Make a website.

Homework 1

For the points \((2,3),(3,4),(4,6)\), find a best fit line by using,
(a) parabolas
(b) matrices
(c) an exponential fit
(d) a logrithmic fit

Homework 2

7 board problems

Homework 3

Calculus, Stewart 7th ed.
1, 2, 3, pg. 86

Homework 4

Calculus, Stewart 7th ed.
4, 8, pg. 96
20, 22, pg. 97
29, 30, 37, pg. 98
2, 3, 7, pg. 106
11, 13, 21, 25, 31, 32, 39, pg. 107

Homework 5

Calculus, Stewart 7th ed.
2, pg. 116
3, 4, 5, 6, 19, 21, pg. 117

Homework 6

Calculus, Stewart 7th ed.
9, 11, 12, 14, 23, 25, pg. 128
44, 45, 51, 54 pg. 129
15, 18, 23, 25, pg. 141

Homework 7

Calculus, Stewart 7th ed.
41, 43, 47, pg. 141
3, 5, 7, 10, pg. 150
27, 29, 31, 33, 35, 37, pg. 151

Homework 8

Calculus, Stewart 7th ed.
1, 3, 4, 9, pg. 162
13, 14, 21, 23, 25, pg. 163
3, 5, 15, 19, 23, pg. 181

Homework 9

Calculus, Stewart 7th ed.
3, 8, 9, 13, 15, 27, pg. 189
41, 43, pg. 190
1, 3, 7, 18, 19, 26, 33, 34, pg. 197
38, 39, 40, pg. 198

Homework 10

Calculus, Stewart 7th ed.
9, 10, 11, 12, 21, 25, 31, 55, 56, pg. 205
5, 7, 13, 25, 27, 30, pg. 215

Homework 11

Calculus, Stewart 7th ed.
2, 3, 5, 7, 9, 33, pg. 223

Homework 12

Calculus, Stewart 7th ed.
1, 3, pg. 233
11, pg. 234
23, 26, pg. 235
31, pg. 236

Homework 13

Calculus, Stewart 7th ed.
2, pg. 242
5, 11, 14, pg. 243
19, pg. 244

Homework 14

Calculus, Stewart 7th ed.
1, 10, 15, pg. 248
20, 23, 28, 31, pg. 249

Homework 15

Calculus, Stewart 7th ed.
1, 5, 7, 8, 34, pg. 255

Homework 16

Calculus, Stewart 7th ed.
29, 35, 37, 49, 55, 60, 70, pg. 281
72, pg. 282

Homework 17

Calculus, Stewart 7th ed.
1, 3, pg. 288
9, 11, 17, pg. 289
9, 12, 13, 15, pg. 298

Extra Credit

AP Calculus 1985 AB Multiple Choice
2, 3, 4, 6, 8, 10, 11, 12, 13, 18, 20, 23, 25, 31, 33, 41

Homework 18

Calculus, Stewart 7th ed.
7, 9, 11, 13, pg. 307
15, 17, 23, 34, 63, 65, pg. 308

Homework 19

Calculus, Stewart 7th ed.
1, 9, 11, 23, 39, 57, pg. 317

Homework 20

Calculus, Stewart 7th ed.
2, 5, pg. 331
7, pg. 332
39, pg. 333
77, pg. 336

Extra Credit

Show all work for a grade
From the 2012 AP Calculus AB Practice Exam
Multiple Choice
1, 2, 4, 5, 7, 9, 11, 14, 16, 18, 19, 20, 21, 22, 23, 24, 27, 28, 76, 77, 78, 79, 80, 82, 84, 85, 87, 88, 91

Homework 21

Calculus, Stewart 7th ed.
1, 2, 3, 5, pg. 369
14, 18, pg. 370

Homework 22

Calculus, Stewart 7th ed.
9, 11, 21, 22, 23, 27, pg. 383
35, 37, 39, pg. 384
SSPOTDOTC
\(\int^2_0{2^x dx}\)

Homework 23

Calculus, Stewart 7th ed.
7, 8, pg. 394
19, 23, 27, 31, 41, pg. 395

Homework 24

Calculus, Stewart 7th ed.
3, 7, 11, 15, 16, 17, 25, 27, pg. 348

Homework 25

Calculus, Stewart 7th ed.
1, 3, pg. 403
7, 11, 15, 21, 25, 31, pg. 404

Homework 26

Calculus, Stewart 7th ed.
1, 3, 5, 13, 15, 21, pg. 413
67, 69, pg. 414

Extra Credit

2015 BC Exam
1, 2, 3, 4, 7, 11, 12, 14, 18, 22, 25, 27, 76, 77, 78, 80, 82, 84, 86, 88, 90, 91, 92

Homework 27

Calculus, Stewart 7th ed.
13, 15, 17, pg. 428
2, 3, 5, pg. 439

Homework 28

Calculus, Stewart 7th ed.
13, 15, 17, pg. 428

Homework 29

Calculus, Stewart 7th ed.
2, 3, 5, 7, pg. 438
3, 4, pg. 445

Homework 30

Calculus, Stewart 7th ed.
1, 3, 5, 11, pg. 468
1, 5, pg. 483

Extra Credit:

Calculate the volume of a Coca-Cola bottle by rotating its profile around the y -axis. Use Simpson's method with error less than \(1 \textrm{cm}^2\).

Homework 31

Calculus, Stewart 7th ed.
7, 9, 13, 21, pg. 516
30, pg. 517

Homework 32

Calculus, Stewart 7th ed.
5, 7, 13, pg. 543
1, 4, pg. 668
11, pg 669

Homework 33

Calculus, Stewart 7th ed.
3, 4, 5, 6, 11, 13, pg. 592
21, 23, pg. 593

Coming Soon!

Homework 34

1969 AP Calculus AB Exam, Section 1

Homework 35

A baseball (radius =0.0366 m, mass = 0.145 kg) is dropped from frest at the top the Empire State Building (height = 1250 ft). Calculate (a) the initial potential energy of the baseball (b) its final kinetic energy, and (c) thet total energy dissipated by computing the line integral of the force of the air resistance along the baseball's total distance of fall. Compare this last result to the difference between the baseball's initial potential energy and its final kinetic energy.

Super Secret List of Review Topics

1. Chain rule
2. Increasing, Decreasing
3. U Substitution
4. Derivatives of Common Functions
5. Existence of Limits
6. Velocity
7. Intermediate Value Theorem
8. Numerically Calculating a Derivatives
9. Maximums and Minimums
10. Integration to Find Volume
11. Geometric Integration

Summer Homework

Take a course on Edx from the following list:
-AP Calculus: Challenging Concepts from, Davidson next
-Probability: Basic Concepts Discreet, Purdue
-Data Science: Probability, HarvardX

Coming Soon!