Math 141

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Calculus Review:     Homework   3.1   3.2   3.4   3.7   4.2   4.6   All     Algebra review


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
Mon 8/19 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, 57, 63
HW1
Tue 8/20 3.5 Combinations: the formula   (11:16)
Combinations: hand shakes   (7:28)
3.5, 3.6 Day One HW
2
Section 3.5
28, 30, 32, 34, 36, 38, 39, 47,
48, 56, 59, 60, 63, 64, 66, 67
HW2
Thu 8/22 3.6 More counting problems   (12:55)
One more   (2:37)
3.5C, 3.6C HW
3
Section 3.6
1 - 7, 9 - 15, 21 - 24
HW3
Fri 8/23 3.6
3.8
Partitions--watch 4:02 to 4:42  (:40) Why divide by number of groups 3.8C HW
4
Section 3.6
27 - 34, 37, 40 - 42
Section 3.8
16, 21, 22, 24 - 28
HW4
Mon 8/26 Math in Poker
Insights
Texas Hold 'Em   (5:04) Poker hands
Gambling is bad
HW
5
Section 3.R
7, 12, 28, 29, 34, 38, 39, 42,
48 - 52, 54, 56, 59, 60, 62
HW5
Tue 8/27 Review Concert ticket QR code
Starbucks counting problems
Thu 8/29 Exam 1
Fri 8/30 3.1

3.2
Sets, unions, intersections   (7:43)
Subsets   (4:31)
Venn diagrams   (6:22)
De Morgan's Laws   (1:48)
3.1C
3.2C
4.1C
HW
6
Section 3.1
3 - 5, 13, 14, 50, 54
Section 3.2
1 - 4, 13, 14, 33 - 36, 43, 44, 49, 50
HW 3.1
HW 3.2
Mon 9/2 No class Labor Day
Tue 9/3 4.2 Additional rule   (10:42)
Venn diagrams   (6:22)
4.2C HW
7
Section 4.2
10, 11, 15, 16, 19, 20, 29,
30, 33 - 36, 37 - 40
HW7
Thu 9/5 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)
4.3C HW
8
Section 4.3
1 - 4, 7 - 10, 13 - 16,
21 - 28, 33 - 36, 39 - 42
HW8
Fri 9/6 4.4 Conditional probability   (6:43)
Compound probability of independent events   (6:00)
Free throws vs. three pointers   (5:46)
4.4C HW
9
Section 4.4
1 - 10, 15, 16, 19,
20, 23 - 26
HW9
Mon 9/9 4.4 Can't stop gambling   (4:57) 4.4C HW
10
Section 4.4
29, 30, 33 - 42, 47 - 52
55, 59 - 62
HW10
Tue 9/10 4.5 Tree diagrams   (10:43) Tennis serve spreadsheet
Tennis serves
4.5C HW
11
Section 4.5
2, 3, 7, 9, 11, 13, 15,
16, 21 - 26, 28, 36
HW11
Thu 9/12 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
4.6C
HW
12
Section 4.6
1 - 8, 18, 22 - 24
HW12
Fri 9/13 4.5
4.6
4.5C, 4.6C HW
13
Section 4.5
45 - 50
Section 4.6
11 - 15, 27, 28
HW13
Mon 9/16 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
HW14
Tue 9/17 Review
Thu 9/19 Exam 2
Fri 9/20 No class Dr. Strong out of town
Mon 9/23 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
5.2C HW
15
Section 5.2
4 - 10, 17, 19, 20, 27, 28
HW15
Tue 9/24 5.3 Binomial Trials   (10:23) Binomial distributions
Ten free throws
HW 5.3.50
5.3C HW
16
Section 5.3
5 - 16, 27, 41, 42,
46, 49, 50, 51, 53, 55abc
HW16
Thu 9/26 5.4 Expected value, mean   (4:31) Flip a coin. Again! 5.4C HW
17
Section 5.4
1, 2, 5 - 10, 13 - 15, 21,
27 - 29, 30, 33 - 36, 43 - 44
HW17
Fri 9/27 No class Faculty conference
Mon 9/30 5.5 Variance, standard deviation   (6:25) Volatility in stock markets
Means and standard deviations
5.5C HW
18
Section 5.5
1 - 12
HW18
Tue 10/1 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
5.6C HW
19
Section 5.6
1 - 12, 19, 20, 23 - 26
HW19
Thu 10/3 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 5.6C HW
20
Section 5.6
27, 28, 31 - 34, 37 - 43
HW20
Fri 10/4 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
5.7C HW
21
Section 5.7
1 - 5, 7 - 10, 13 - 17, 22
HW21
Mon 10/7 Insights Pooled testing for Covid HW
22
Section 5.R
5, 6, 8 - 10, 12, 17 - 22, 27, 28
HW22
Tue 10/8 Review
Thu 10/10 Exam 3
Fri 10/11 No class Fall break
Mon 10/14 No class Fall break
Tue 10/15 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
HW23
Thu 10/17 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
HW24
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
Fri 10/18 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
HW25
Mon 10/21 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
HW26
Tue 10/22 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
HW27
Thu 10/24 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
HW28
Fri 10/25 1.3
Day 2
HW
29
Section 1.3
29 - 31, 35 - 37, 41 - 43, 47 - 51
HW29
Mon 10/28 1.4
Day 1
More cowbell ('cause why not?)  (5:42) 1.4 HW
30
Section 1.4
1 - 3, 7 - 17
HW30
Tue 10/29 1.4
Day 2
HW
31
Section 1.4
18, 19, 21, 22, 26 - 29, 31 - 34
HW31
Thu 10/31 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
Fri 11/1 Insights HW
33
Section 1.R
5 - 7, 12 - 17, 22, 26 - 30
Mon 11/4 Review
Tue 11/5 Exam 4
Thu 11/7 2.1 G-J Elimination: One Solution   (13:28) Gauss-Jordan Elimination Example
Gauss-Jordan Elimination Website
Another Gauss-Jordan Elimination Website
2.1
Fri 11/8 2.1, 2.2 Infinite solutions (through 12:40)   (12:40) 
No solution   (12:07)
Results of Gauss-Jordan elimination 2.2 HW
34
Section 2.1
7, 8, 23, 37, 47, 48, 59, 60
61 - 68, 73 - 76
Mon 11/11 2.2 My brain is full HW
35
Section 2.2
17, 20, 22, 23, 27, 28,
37 - 45, 49 - 54
Tue 11/12 2.3 Why matrices   (5:42)
Matrix multiplication   (5:28)
Matrix multiplication in Wolf. Alpha 2.3 HW
36
Section 2.3
25, 27 - 36, 41, 42, 47
50 - 52, 54, 55, 58, 59
Thu 11/14 2.4 Matrix inverses   (14:14)
Use Matrix inverse to solve Ax = b   (6:39)
Matrix inverse in Wolfram Alpha 2.4 HW
37
Section 2.4
1, 2, 12, 13, 20, 21
27, 28, 30, 32 - 34
Fri 11/15 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
2.5 HW
38
Section 2.5
6, 7, 11, 14, 15, 17, 19, 20
21 - 24
Mon 11/18 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
Tue 11/19 Insights HW
40
Section 2.R
5, 6, 8, 10, 14, 15, 17 - 19
25 - 27, 29, 30
Thu 11/21 Review
Fri 11/22 Exam 5
Mon 12/2 Review Buy a TV or invest?
Don't buy stuff you can't afford
Tue 12/3 Review
Thu 12/5 Review
Fri 12/6 Review
Thu 12/12 1:30 - 4:00 pm    Final Exam
Homework problems to work in class