| Day |
Date |
Before class, read book and watch video clips: |
During/after class |
Homework to turn in
at our next class meeting |
Solns.
|
| Section |
Video clips (length) |
Supplements |
Handouts |
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| Mon |
1/13 |
Intro |
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First day advice
Don't give up, keep trying
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| Tue |
1/14 |
3.4 |
Introduction to counting (2:34)
Permutations: the formula (7:34)
Permutations: three letter words (5:38) |
|
3.4C |
HW
1 |
Section 3.4
7 - 16, 23 - 28, 37 - 48,
51, 52, 55, 58, 63
|
HW1 |
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| Thu |
1/16 |
3.5 |
Combinations: the formula (11:16)
Combinations: hand shakes (7:28) |
|
3.5, 3.6C |
HW
2 |
Section 3.5
28, 30, 32, 34, 36, 38, 39, 47,
48, 56, 59, 60, 63, 64, 66, 67 |
HW2 |
| Fri |
1/17 |
3.6 |
More counting problems (12:55)
One more (2:37) |
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3.5, 3.6C | HW
3 |
Section 3.6
1 - 7, 9 - 15, 21 - 24 |
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| Mon |
1/20 |
No class |
MLK Day |
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| Tue |
1/21 |
3.6
3.8 |
Partitions--watch 4:02 to 4:42 (:40) |
Why divide by number of groups |
3.8 |
HW
4 |
Section 3.6
27 - 34, 37, 40 - 42
Section 3.8
16, 21, 22, 24 - 28 |
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| Thu |
1/23 |
Math in Poker
Insights |
Texas Hold 'Em (5:04) |
Poker hands
Gambling is bad
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HW
5 |
Section 3.R
7, 12, 28, 29, 34, 38, 39, 42,
48 - 52, 54, 56, 59, 60, 62 |
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| Fri |
1/24 |
Review |
|
Concert ticket QR code
Starbucks counting problems |
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| Mon |
1/27 |
Exam 1 |
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| Tue |
1/28 |
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
|
HW
6
|
Section 3.1
3 - 5, 13, 14, 50, 54
Section 3.2
1 - 4, 13, 14, 33 - 36, 43, 44, 49, 50
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| Thu |
1/30 |
4.2 |
Additional rule (10:42)
Venn diagrams (6:22) |
|
4.2 |
HW
7 |
Section 4.2
10, 11, 15, 16, 19, 20, 29,
30, 33 - 36, 37 - 40
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| Fri |
1/31 |
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)
|
4.3 |
HW
8 |
Section 4.3
1 - 4, 7 - 10, 13 - 16,
21 - 28, 33 - 36, 39 - 42
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| Mon |
2/3 |
4.4 |
Conditional probability (6:43)
Compound probability of independent events (6:00)
Free throws vs. three pointers (5:46) |
|
4.4 |
HW
9 |
Section 4.4
1 - 10, 15, 16, 19,
20, 23 - 26 |
|
| Tue |
2/4 |
4.4 |
Can't stop gambling (4:57)
|
| 4.4 |
HW
10 |
Section 4.4
29, 30, 33 - 42, 47 - 52
55, 59 - 62
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| Thu |
2/6 |
4.5 |
Tree diagrams (10:43) |
Tennis serve spreadsheet
Tennis serves
|
4.5 |
HW
11 |
Section 4.5
2, 3, 7, 9, 11, 13, 15,
16, 21 - 26, 28, 36
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|
| Fri |
2/7 |
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 |
HW
12 |
Section 4.6
1 - 8, 18, 22 - 24
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| Mon |
2/10 |
4.5
4.6 |
|
|
4.5, 4.6 |
HW
13 |
Section 4.5
45 - 50
Section 4.6
11 - 15, 27, 28
|
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| Tue |
2/11 |
Insights |
Math can be difficult (2:10) |
Sicherman Dice |
|
HW
14 |
Section 4.R
3, 4, 13, 14, 17 - 19,
27 - 31, 39, 41, 42, 47, 48
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| Thu |
2/13 |
Review |
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| Fri |
2/14 |
Exam 2 |
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| Mon |
2/17 |
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 |
HW
15 |
Section 5.2
4 - 10, 17, 19, 20, 27, 28 |
|
| Tue |
2/18 |
5.3 |
Binomial Trials (10:23)
|
Binomial distributions
Ten free throws
HW 5.3.50 |
5.3 |
HW
16 |
Section 5.3
5 - 16, 27, 41, 42,
46, 49, 50, 51, 53, 55abc
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| Thu |
2/20 |
5.4 |
Expected value, mean (4:31) |
Flip a coin. Again! |
5.4 |
HW
17 |
Section 5.4
1, 2, 5 - 10, 13 - 15, 21,
27 - 29, 30, 33 - 36, 43 - 44
|
|
| Fri |
2/21 |
5.5 |
Variance, standard deviation (6:25) |
Volatility in stock markets
Means and standard deviations |
5.5 |
HW
18 |
Section 5.5
1 - 12
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| Mon |
2/24 |
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 |
HW
19 |
Section 5.6
1 - 12, 19, 20, 23 - 26
|
|
| Tue |
2/25 |
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 |
HW
20 |
Section 5.6
27, 28, 31 - 34, 37 - 43
|
|
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|
| Thu |
2/27 |
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
|
5.7 |
HW
21 |
Section 5.7
1 - 5, 7 - 10, 13 - 17, 22
|
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| Fri |
2/28 |
Insights |
|
Pooled testing for Covid
|
|
HW
22 |
Section 5.R (due on 3/11)
5, 6, 8 - 10, 12, 17 - 22, 27, 28
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| Mon |
3/10 |
Algebra Review |
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| Tue |
3/11 |
Review |
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| Thu |
3/13 |
Exam 3 |
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| Fri |
3/14 |
Calculus
Review
Day 1 |
Derivatives of
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) |
Derivative rules
Derivative calculator
Detailed review of Calculus
|
|
HW
23 |
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
|
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| Mon |
3/17 |
Calculus
Review
Day 2 |
Derivatives
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)
| |
|
HW
24 |
Section Calc 3.7, Page 226
2, 7, 8, 11, 12
Section Calc 4.2, Page 268
41, 45, 47, 48, 50, 51
|
|
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)
|
Algebra review |
|
|
|
|
| Tue |
3/18 |
Calculus
Review
Day 3 |
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)
|
HW 4.6.44 |
|
HW
25 |
Section Calc 4.6, Page 305
5, 6, 11, 12, 35, 36, 43, 44, 47
|
|
|
|
| Thu |
3/20 |
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
|
1.1 |
HW
26 |
Section 1.1
4, 7 - 12, 22 - 26
|
|
| Fri |
3/21 |
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 |
1.2 |
HW
27 |
Section 1.2
1, 2, 5, 6, 9, 10, 16, 17
23, 24, 26 - 28, 32, 33
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| Mon |
3/24 |
1.3
Day 1 |
Optimization 1 (6:24)
Optimization 2 (10:05)
Optimization 3 (11:22)
|
Second derivative test
Minimum and saddle point example
|
1.3 |
HW
28 |
Section 1.3
3, 5 - 7, 11, 17, 19 - 21, 23 - 25
|
|
| Tue |
3/25 |
1.3
Day 2 |
|
|
|
HW
29 |
Section 1.3
29 - 31, 35 - 37, 41 - 43, 47 - 51
|
|
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|
| Thu |
3/27 |
1.4
Day 1 |
More cowbell ('cause why not?) (5:42)
|
|
1.4 |
HW
30 |
Section 1.4
1 - 3, 7 - 17
|
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| Fri |
3/28 |
1.4
Day 2 |
|
|
|
HW
31 |
Section 1.4
18, 19, 21, 22, 26 - 29, 31 - 34
|
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| Mon |
3/31 |
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
|
1.5 |
HW
32 |
Section 1.5
9, 11 - 15
|
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| Tue |
4/1 |
Insights |
|
|
|
HW
33 |
Section 1.R
5 - 7, 12 - 17, 22, 26 - 30
|
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| Thu |
4/3 |
Review |
|
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| Fri |
4/4 |
Exam 4 |
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| Mon |
4/7 |
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
|
|
|
|
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| Tue |
4/8 |
2.1, 2.2 |
Infinite solutions (through 12:40) (12:40)
No solution (12:07) |
Results of Gauss-Jordan elimination |
|
HW
34 |
Section 2.1
7, 8, 23, 37, 47, 48, 59, 60
61 - 68, 73 - 76
|
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| Thu |
4/10 |
2.2 |
|
My brain is full |
|
HW
35 |
Section 2.2
17, 20, 22, 23, 27, 28,
37 - 45, 49 - 54
|
|
| Fri |
4/11 |
2.3 |
Why matrices (5:42)
Matrix multiplication (5:28) |
Matrix multiplication in Wolf. Alpha |
|
HW
36 |
Section 2.3
25, 27 - 36, 41, 42, 47
50 - 52, 54, 55, 58, 59
|
|
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| Mon |
4/14 |
2.4 |
Matrix inverses (14:14)
Use Matrix inverse to solve Ax = b (6:39) |
Matrix inverse in Wolfram Alpha |
|
HW
37 |
Section 2.4
1, 2, 12, 13, 20, 21
27, 28, 30, 32 - 34
|
|
| Tue |
4/15 |
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
|
|
HW
38 |
Section 2.5
6, 7, 11, 14, 15, 17, 19, 20
21 - 24
|
|
|
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| Thu |
4/17 |
2.6 |
|
2 x 2 Input-Output Example
3 x 3 Input-Output Example in Excel
|
2.6 |
HW
39 |
Section 2.6
1, 2, 11 - 13, 25 - 27, 29, 30
|
|
| Fri |
4/18 |
Insights |
|
|
|
HW
40 |
Section 2.R
5, 6, 8, 10, 14, 15, 17 - 19
25 - 27, 29, 30
|
|
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| Mon |
4/21 |
Review |
|
|
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| Tue |
4/22 |
Exam 5 |
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| Thu |
4/24 |
Review |
|
Buy a TV or invest?
Don't buy stuff you can't afford
|
| |
|
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| Fri |
4/25 |
Review |
|
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| Mon |
4/28 |
7:30 - 10:00 am Final Exam for Section 2 (9 am) |
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| Thu |
5/1 |
7:30 - 10:00 am Final Exam for Section 1 (8 am) |
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Homework problems to work in class
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