| Day |
Date |
Before class, read book and watch video clips: |
During/after class |
Possible quiz problems
at our next class meeting
(or similar problems) |
| Section |
Video clips (length) |
Supplements |
Handouts |
|
|
|
|
To review on
your own before
coming to London |
Derivatives
x^n (3:53)
x^5 + 2x^3 - x^2 (6:38)
2/x^3 - 1/x^2 (4:48)
5x^(1/4) + 7 (2:35)
6/x^2, plus second derivative (2:26)
e^x, ln(x) (from 1:05) (3:42)
(2x^3 + 5x^2 - 7)^8 (5:30)
ln(sqrt(x)) (6:44)
sqrt(3x^2 - x) (5:30)
(5 - 3x)/(x^2 + 3x) (6:43)
(x^3 + 4x^2 + 7)^(1/4) (5:54)
Misc. topics
Exponents (9:22)
Logarithms 1 (7:01)
Logarithms 2 (4:19)
Estimating derivatives (6:41)
Slope of secant line (7:16)
A function and its derivative (5:04)
Optimization problems
Box problem part 1 (9:49)
Box problem part 2 (8:59)
Profit at shoe factory (11:56)
Cost of materials (12:39)
|
Algebra review
Derivative rules
Derivative calculator
Detailed review of Calculus
|
|
Calculus Review Textbook
and Homework Problems
Section Calc 3.1, Page 181
18, 19, 23, 24, 45, 46, 48
Section Calc 3.2, Page 188
5, 6, 15, 16, 23, 24
Section Calc 3.4, Page 205
8, 9, 19, 20, 23, 40
Section Calc 3.7, Page 226
2, 7, 8, 11, 12
Section Calc 4.2, Page 268
41, 45, 47, 48, 50, 51
Section Calc 4.6, Page 305
5, 6, 11, 12, 35
3.1, 3.2, 3.4 Solutions
3.7, 4.2 Solutions
4.6 Solutions |
|
|
|
|
|
|
| Mon |
9/8 |
Calculus
Review |
|
|
|
|
| 1.1 |
Multivariable functions (7:05)
Contour plots (5:35) |
3D function plotter
Desmos 3D function plotter
Figure 1.1.5
Contour plots
Production plot 1
Production plot 2
|
|
Section 1.1
4, 7 - 12, 22 - 26
|
|
|
| Wed |
9/10 |
1.2 |
Partial derivatives 1 (7:12)
Partial derivatives 2 (5:19)
Partial derivatives 3 (7:03)
Way more practice (35:27)
|
Derivative calculator (change "Diff'n variable" in Options)
Partial derivatives in Wolfram Alpha |
|
Section 1.2
1, 2, 5, 6, 9, 10, 16, 17
23, 24, 26 - 28, 32, 33
|
1.3
Day 1 |
Optimization 1 (6:24)
Optimization 2 (10:05)
Optimization 3 (11:22)
|
Second derivative test
Minimum and saddle point example
|
|
Section 1.3
3, 5 - 7, 11, 17, 19 - 21, 23 - 25
|
|
|
|
|
| Mon |
9/15 |
1.3
Day 2 |
|
|
|
Section 1.3
29 - 31, 35 - 37, 41 - 43, 47 - 51
|
1.4
Day 1 |
More cowbell ('cause why not?) (5:42)
|
|
|
Section 1.4
1 - 3, 7 - 17
|
|
|
| Wed |
9/17 |
1.4
Day 2 |
|
|
|
Section 1.4
18, 19, 21, 22, 26 - 29, 31 - 34
|
| 1.5 |
Introduction to least squares (4:48)
More details (22:17) |
Origins of Least Squares: Gauss
Least squares
Covid: hospitalizations vs. vaccinations
Covid: schools open vs. deaths
|
|
Section 1.5
9, 11 - 15
|
|
|
|
|
| Mon |
9/29 |
Insights |
|
|
|
End of Chapter 1 Review |
| Review |
|
|
|
|
|
|
| Wed |
10/1 |
Exam 1 |
|
|
|
|
| 2.1 |
G-J Elimination: One Solution (13:28) |
Coins activity
Gauss-Jordan Elimination Example
Gauss-Jordan Elimination Website
Another Gauss-Jordan Elimination Website
Don't give up, keep trying
|
|
|
| Mon |
10/6 |
2.1, 2.2 |
Infinite solutions (through 12:40) (12:40)
No solution (12:07) |
Results of Gauss-Jordan elimination |
|
Section 2.1
7, 8, 23, 37, 47, 48, 59, 60
61 - 68, 73, 74, 76
|
| 2.2 |
|
My brain is full |
|
Section 2.2
17, 20, 22, 23, 27, 28,
37 - 45, 49 - 54
|
| Wed
| 10/8 |
2.3 |
Why matrices (5:42)
Matrix multiplication (5:28) |
Matrix multiplication in Wolf. Alpha |
|
Section 2.3
25, 27 - 36, 41, 42, 47
50 - 52, 54, 55, 58, 59
|
| 2.4 |
Matrix inverses (14:14)
Use Matrix inverse to solve Ax = b (6:39) |
Matrix inverse in Wolfram Alpha |
|
Section 2.4
1, 2, 12, 13, 20, 21
27, 28, 30, 32 - 34
|
| Mon |
10/13 |
2.5 |
Larger matrix inverses (start at :40) (6:21) |
Derivation of 2 x 2 inverse formula
3 x 3 inverse formula
4 x 4 matrix determinant
|
|
Section 2.5
6, 7, 11, 14, 15, 17, 19, 20
21 - 24
|
| 2.6 |
|
2 x 2 Input-Output Example
3 x 3 Input-Output Example in Excel
|
|
Section 2.6
1, 2, 11 - 13, 25 - 27, 29, 30
|
| Tue |
10/14 |
Insights |
|
|
|
End of Chapter 2 Review |
| Review |
|
|
|
|
| Wed |
10/15 |
Exam 2 |
|
|
|
|
3.1
3.2
|
Sets, unions, intersections (7:43)
Subsets (4:31)
Venn diagrams (6:22)
De Morgan's Laws (1:48)
|
|
3.1
3.2
4.1
|
Section 3.1
3 - 5, 13, 14, 50, 54
Section 3.2
1 - 4, 13, 14, 33 - 36, 43, 44, 49, 50
|
| Mon |
10/20 |
3.4 |
Introduction to counting (2:34)
Permutations: the formula (7:34)
Permutations: three letter words (5:38) |
|
3.4 |
Section 3.4
7 - 16, 23 - 28, 37 - 48,
51, 52, 55, 58, 63
|
| 3.5 |
Combinations: the formula (11:16)
Combinations: hand shakes (7:28) |
|
3.5, 3.6 |
Section 3.5
28, 30, 32, 34, 36, 38, 39, 47,
48, 56, 59, 60, 63, 64, 66, 67 |
| Wed |
10/22 |
3.6 |
More counting problems (12:55)
One more (2:37) |
|
3.5, 3.6 |
Section 3.6
1 - 7, 9 - 15, 21 - 24 |
| 4.2 |
Additional rule (10:42)
Venn diagrams (6:22) |
|
4.2 |
Section 4.2
10, 11, 15, 16, 19, 20, 29,
30, 33 - 36, 37 - 40
(due Friday)
|
| Mon |
11/3 |
Math in Poker
Insights |
Texas Hold 'Em (5:04) |
Poker hands
Gambling is bad
Sports gambling can be addictive
|
|
End of Chapter 3 Review |
| Review |
|
Concert ticket QR code
Starbucks counting problems |
|
|
| Wed |
11/5 |
Exam 3 |
|
|
|
|
| 4.3 |
|
Birthday paradox simulator
Birthday match probabilities
March 2024 Powerball lottery
Are lotteries really random?
Lotteries prey on the poor
When to buy a lottery ticket (if you must)
Gaming the lottery
|
4.3 |
Section 4.3
1 - 4, 7 - 10, 13 - 16,
21 - 28, 33 - 36, 39 - 42
|
| Mon |
11/10 |
4.4 |
Conditional probability (6:43)
Compound probability of independent events (6:00)
Free throws vs. three pointers (5:46) |
|
4.4 |
Section 4.4
1 - 10, 15, 16, 19,
20, 23 - 26 |
| 4.4 |
Can't stop gambling (4:57)
|
| 4.4 |
Section 4.4
29, 30, 33 - 42, 47 - 52
55, 59 - 62
|
| Wed |
11/12 |
4.5 |
Tree diagrams (10:43) |
Tennis serve spreadsheet
Tennis serves
|
4.5 |
Section 4.5
2, 3, 7, 9, 11, 13, 15,
16, 21 - 26, 28, 36
|
| 4.6 |
Bayes' Theorem (5:05) |
Medical testing spreadsheet
NY Times article on mammograms
LA Times article on mammograms
Study on mammography in older women
|
4.6 |
Section 4.6
1 - 8, 18, 22 - 24
|
| Mon |
11/17 |
Insights |
Math can be difficult (2:10) |
Sicherman Dice |
|
End of Chapter 4 Review |
| Review |
|
|
|
|
| Wed |
11/19 |
Exam 4 |
|
|
|
|
5.1
5.2 |
Histograms, bar charts (1:38)
Various plots (7:34)
Probability distribution (6:47) |
Visualizing data: NY Times COVID tracking
(Possibly) surprising statistics: what would you have guessed?
Medical error deaths
Fatal police shootings
Undocumented immigrants
Tax rates of the rich
|
5.2 |
Section 5.2
4 - 10, 17, 19, 20, 27, 28
|
| Mon |
11/24 |
5.3 |
Binomial Trials (10:23)
|
Binomial distributions
Ten free throws
HW 5.3.50 |
5.3 |
Section 5.3
5 - 16, 27, 41, 42,
46, 49, 50, 51, 53, 55abc
|
| 5.4 |
Expected value, mean (4:31) |
Flip a coin. Again! |
5.4 |
Section 5.4
1, 2, 5 - 10, 13 - 15, 21,
27 - 29, 30, 33 - 36, 43 - 44
|
| Wed |
11/26 |
5.5 |
Variance, standard deviation (6:25) |
Volatility in stock markets
Means and standard deviations |
5.5 |
Section 5.5
1 - 12
|
| 5.6 |
Normal and other distributions (10:52)
Empirical rulex (10:24)
Z-scores (5:56) |
Derivation of the Normal Curve Function:
Irish version
American version
|
5.6 |
Section 5.6
1 - 12, 19, 20, 23 - 26
|
| Mon |
12/1 |
5.6 |
Z-score problem 1 (4:19)
Z-score problem 2 (5:06)
Z-score problem 3 (7:09)
Z-score problem 4 (4:13) |
Normal Distribution Chart |
5.6 |
Section 5.6
27, 28, 31 - 34, 37 - 43
|
| 5.7 |
Normal approximation of
the binomial distribution (14:09) |
Airline overbooking spreadsheet
United airlines
United overbooking
A new idea
How to get $2000 for being bumped
Airlines have overbooked from the start
What to do if you are bumped
|
5.7 |
Section 5.7
1 - 5, 7 - 10, 13 - 17, 22
|
| Wed |
12/3 |
Insights |
|
|
|
End of Chapter 5 Review |
| Review |
|
|
|
|
| ??? |
12/??? |
Exam 5 |
|
|
|
|
|
|
|
|
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|
|
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Homework problems to work in class
|
