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Calculus Review:     HW   3.1   3.2   3.4   3.7   4.2   4.6   All  


 
Day Date Before class In class Homework to turn in
before next class
Soln
Section Video clips (length) HW Handout Supplements
Mon 8/17 3.1 Sets, unions, intersections   (7:43)
Subsets   (4:31)
3.1
2, 30
3.1C First day advice
Don't be a slacker--go the extra mile
HW
1
Section 3.1, Page 120
1 - 4, 13, 14, 27 - 32, 51 - 62
HW1
Tue 8/18 3.2
(and 3.3)
Venn diagrams   (6:22)
De Morgan's Laws   (1:48)
3.2
2, 4, 20
3.2C HW
2
Section 3.2, Page 126
3 - 8, 21, 22, 29 - 32, 39 - 43
HW2
Thu 8/20 3.4 Introduction to counting   (2:34)
Permutations: the formula   (7:34)
Permutations: three letter words   (5:38)
3.4
4, 10
3.4C HW
3
Section 3.4, Page 136
3 - 6, 9, 10, 17 - 19, 21, 22, 30,
32, 37, 38, 51, 52, 55, 57, 63
HW3
Fri 8/21 3.5 Combinations: the formula   (11:16)
Combinations: hand shakes   (7:28)
3.5
6, 12, 48
3.5/3.6C HW
4
Section 3.5, Page 143
28, 30, 32, 34, 36, 38, 39, 47,
48, 56, 59, 60, 63, 64, 66, 67
HW4
Mon 8/24 3.6 More counting problems   (12:55)
One more   (2:37)
3.6
10, 22
3.5/3.6C HW
5
Section 3.6, Page 150
1 - 7, 9 - 12, 15, 18, 21 - 24
HW5
Tue 8/25 3.6
3.8
Partitions--watch 4:02 to 4:42  (:40) 3.8
24
3.6/3.8C HW
6
Section 3.6, Page 150
27 - 34, 37, 40 - 42
Section 3.8, Page 160
16, 21, 22, 24 - 28
HW6
Thu 8/27 Insights
Poker
Texas Hold 'Em   (5:04)
Can't stop gambling   (4:57)
3.R
60, 62
Poker hands
Gambling is bad
HW
7
Section 3.R, Page 164
5, 7, 8, 12, 23, 28, 34, 39, 42,
48 - 52, 56, 59, 60, 62 74
HW7
Fri 8/28 Review Good at counting yet?
Mon 8/31 Exam 1
Tue 9/1 Preview
4.1
Get the test score you wanted?   (3:29)
Sample spaces   (9:09)
4.1C Two probability paradoxes HW
8
Section 4.1, Page 178
3, 4, 10, 15, 16, 19, 20, 25
HW8
Thu 9/3 4.2 Additional rule   (10:42)
Venn diagrams   (6:22)
4.2
30
4.2C HW
9
Section 4.2, Page 188
10, 11, 15, 16, 19, 20, 29,
30, 33 - 36, 39 - 42, 50
HW9
Fri 9/4 4.3 4.3
8
4.3C Are lotteries really random?
Birthdays
HW
10
Section 4.3, Page 195
7, 8, 10, 13 - 18, 22,
25, 26 - 28, 31, 32
HW10
Mon 9/7 No class
Tue 9/8 4.4 Probability of independent events   (5:59)
Free throws vs. three pointer   (5:46)
Conditional probability   (6:42)
4.4
4
4.4C HW
11
Section 4.4, Page 205
1 - 10, 15, 16, 19,
20, 23 - 26
HW11
Thu 9/10 4.4 4.4
34
HW
12
Section 4.4, Page 205
29, 30, 33 - 42, 47 - 49
51, 52, 55, 62
HW12
Fri 9/11 4.5 Tree diagrams   (10:43) 4.5
16
4.5C Tennis serves HW
13
Section 4.5, Page 213
2, 3, 7, 9, 11, 13, 15,
16, 21 - 25, 26, 28, 36
HW13
Mon 9/14 4.6 Bayes' Theorem   (5:05) 4.6
2
4.6C NY Times article on mammograms
LA Times article on mammograms
HW
14
Section 4.6, Page 220
1 - 8, 18, 22, 24
HW14
Tue 9/15 4.5
4.6
4.5/4.6C HW
15
Section 4.5, Page 213
45 - 50
Section 4.6, Page 220
11 - 15, 27, 28
HW15
Thu 9/17 Insights Math can be difficult   (2:10) HW
16
Section 4.R, Page 230
3, 4, 13, 14, 17 - 19,
27 - 31, 39, 41, 42, 47, 48
HW16
Fri 9/18 Review
Mon 9/21 Exam 2
Tue 9/22 5.1
5.2
Histograms, bar charts   (1:38)
Various plots (7:34)
Probability distribution (6:47)
5.2
5
5.2C Visualization of data
LA Times COVID tracking
HW
17
Section 5.2, Page 252
4 - 10, 17, 19, 20, 27, 28
HW17
Thu 9/24 5.3 Binomial Trials   (10:23) 5.3
5
5.3C Ten free throws HW
18
Section 5.3, Page 257
5 - 16, 27, 40 - 42,
46, 49, 50, 53, 55abc
HW18
Fri 9/25 5.4 Expected value, mean   (4:31) 5.4
2
5.4C HW
19
Section 5.4, Page 267
1, 2, 5 - 10, 13 - 16, 21,
26 - 29, 30, 33, 34, 36, 40
HW19
Mon 9/28 5.5
Day 1
Variance, standard deviation   (6:25) None 5.5C Volatility in stock markets
Tue 9/29 5.5
Day 2
Normal and other distributions   (10:52)
Empirical rulex   (10:24)
Z-scores   (5:56)
5.5
5
Means and standard deviations HW
20
Section 5.5, Page 276
1 - 12
HW20
Thu 10/1 5.6
Day 1
Z-score problem 1   (4:19)
Z-score problem 2   (5:06)
Z-score problem 3   (7:09)
Z-score problem 4   (4:13)
5.6
6
5.6C Normal Distribution Chart HW
21
Section 5.6, Page 289
1 - 12, 19, 20, 23 - 26
HW21
Fri 10/2 5.6
Day 2
5.6
31
HW
22
Section 5.6, Page 289
27, 28, 31 - 34, 37 - 43
HW22
Mon 10/5 5.7 Normal approximation of
the binomial distribution
  (14:09)
5.7
1
5.7C Airline overbooking spreadsheet
United airlines
United overbooking
A new idea
HW
23
Section 5.7, Page 294
1 - 8, 10, 13 - 17
HW23
Tue 10/6 Insights HW
24
Section 5.R, Page 299
6 - 10, 12, 17 - 22, 27, 28
HW24
Thu 10/8 Review
Fri 10/9 Exam 3
Mon 10/12 2.1 G-J Elimination: One Solution   (7:36) 2.1
26
Coins activity
Gauss-Jordan Elimination Example
Gauss-Jordan Elimination Website
HW
25
Section 2.1, Page 58
39, 40, 45, 46, 55, 56, 59
60, 63 - 66
HW25
Tue 10/13 2.2 Infinite solutions (through 12:40)   (12:40) 
No solution   (12:07)
2.2
37
Results of Gauss-Jordan elimination HW
26
Section 2.2, Page 66
3, 13, 17, 18, 23 - 26
41, 42, 45, 46, 49, 50
HW26
Thu 10/15 2.3 Why matrices   (5:42)
Matrix multiplication   (5:28)
2.3
38
Matrix multiplication in Wolfram Alpha HW
27
Section 2.3, Page 78
25, 27 - 32, 34, 35, 37
39, 41, 42
HW27
Fri 10/16 2.4 Matrix inverses   (14:14)
Use Matrix inverse to solve Ax = b   (6:39)
2.4
12
Matrix inverse in Wolfram Alpha HW
28
Section 2.4, Page 90
5, 8, 13 - 16, 28, 30
32, 41, 42
HW28
Mon 10/19 2.5 Larger inverses (start at :40) (6:21) 2.5
2
Derivation of 2 x 2 inverse formula
3 x 3 inverse formula
HW
29
Section 2.5, Page 95
3, 7, 8, 13, 14, 17 - 20
HW29
Tue 10/20 2.6 None 2 x 2 Input-Output Example
3 x 3 Input-Output Example in Excel
HW
30
Section 2.6, Page 101
1 - 8, 17 - 20
HW30
Thu 10/22 Insights HW
31
Section 2.R, Page 105
5, 6, 8, 10, 15, 17 - 19
21, 26, 27
HW31
Fri 10/23 No class 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
Derivative calculator
On your own
before next
Thursday
Mon 10/26 Review
Tue 10/27 Exam 4
Thu 10/29 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
Detailed review of Calculus
HW
32
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
HW32
Fri 10/30 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
33
Section Calc 3.7, Page 226
2, 7, 8, 11, 12
Section Calc 4.2, Page 268
41, 45, 47, 48, 50, 51
HW33
Mon 11/2 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
34
Section Calc 4.6, Page 305
5, 6, 11, 12, 35, 36, 43, 44, 47
HW34
Tue 11/3 1.1 Multivariable functions   (7:05)
Contour plots   (5:35)
3D function plotter
Figure 1.1.5
Contour plots
Production plot 1
Production plot 2
HW
35
Section 1.1, Page 5
4, 7 - 12, 22 - 26
HW35
Thu 11/5 1.2 Partial derivatives 1   (7:12)
Partial derivatives 2   (5:19)
Partial derivatives 3   (7:03)
Way more practice   (35:27)
Partial derivatives in Wolfram Alpha HW
36
Section 1.2, Page 13
1, 2, 5, 6, 9, 10, 16, 17
23, 24, 26 - 28, 32, 33
HW36
Fri 11/6 1.3
Day 1
Optimization 1   (6:24)
Optimization 2   (10:05)
Optimization 3   (11:22)
Second derivative test
Minimum and saddle point example
HW
37
Section 1.3, Page 20
1, 3, 5 - 8, 11 - 16
HW37
Mon 11/9 1.3
Day 2
HW
38
Section 1.3, Page 20
17, 19 - 21, 23, 25, 26, 28 - 30
HW38
Tue 11/10 1.4
Day 1
More cowbell   (5:42) HW
39
Section 1.4, Page 28
1 - 4, 7 - 13
HW39
Thu 11/12 1.4
Day 2
HW
40
Section 1.4, Page 28
14, 16 - 21, 23, 24
HW40
Fri 11/13 1.5 Introduction to least squares   (4:48)
More details   (22:17)
Least squares
Religion vs. $ data fitting
HW
41
Section 1.5, Page 34
10 - 15
HW41
Mon 11/16 Insights HW
42
Section 1.R, Page 44
7, 13 - 16, 21, 23, 28 - 30
HW42
Tue 11/17 Review
Thu 11/19 No class--office hour (via Zoom) from 9:00 am to 12:00 noon (California time)
Fri 11/20 No class--final exams begin (but not in our class yet).
Sat 11/21 Section 3 (10:00 am class) Final Exam   8:00 - 9:00 am (California time)
Tue 11/24 Section 4 (11:00 am class) Final Exam   2:00 - 3:00 pm (California time)