|
Date |
Sections
|
Lecture slides |
Notes | Homework |
Other readings |
Videos |
|
1/18(R) |
12.1,
12.2 |
Lecture 1 Math major |
Lecture 1 |
Readiness test |
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| 1/23(T) |
12.2, 12.3 |
Lecture 2 | Lecture 2 |
Homework 1 (due 1/26) 12.1(3,5,9,13,17,27,31,35)(22,44) 12.2(3,7,13,21,25,31,37)(45,48) 12.3(5,7,17,23ac,25,27,41,43,51)(35,55) |
dot
product law of cosine cross-correlation |
dot
product |
|
1/25(R) |
12.4 |
Lecture 3 | Lecture 3 |
cross
product triple
product |
cross
product vector triple product expansion |
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|
1/30(T) |
12.5 |
Lecture 4 | Lecture 4 |
coplanar
skew
lines parallel
lines |
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|
2/1(R) |
12.5,
Quiz 1 |
|
Matlab line.m line2.m surface4.m |
line that intersects two planes | ||
|
2/6(T) |
13.1-13.2 |
Lecture 5 |
Lecture 5 |
Homework 2 (due 2/9) 12.4(3,9,15,17,19,31,33,35,43)(11,44,45,46,47) 12.5(5,9,11,15,19,21,23,27,31,39,47,53,57,65)(1,71,73,75) 13.1(1,3,5,17,31,43)(7,21-26,35,38,41,49) 13.2(5,9,13,19,21,23,35,39,41)(31,53,55) |
Matlab helix.m toroidal.m spiral.m knot.m trefoil knot helix knot knot Roller coaster Roller coaster loops |
|
|
2/8(R) |
13.3-13.4 |
Lecture 6 | Lecture 6 |
Story
of Newton's discovery Brahe, Kepler, Galileo and Newton Kepler's laws |
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|
2/13(T) |
14.1 |
Lecture 7 |
Lecture 7 |
Matlab: surface 1 2 3 contour 1 2 |
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|
2/15(R) |
14.2, Quiz 2 |
Calc I and II
formulas |
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|
2/20(T) |
14.3 |
Lecture 8 |
Lecture 8 |
Homework 3 (due 2/23) 13.3(1,3,11)(15) 13.4(3,5,9,15,25,31)(11,29) 14.1(3,9,11,13,15,19,47)(32,59-64) 14.2(5,9,13,15,33,37)(14,18,38,39) 14.3(15,21,33,41,43,47,53)(27,57,67,84,93,99) |
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|
2/22(R) |
14.4 |
Taylor
series |
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|
2/27(T) |
14.5 |
Lecture 9 | Lecture 9 | |||
|
3/1(R) |
Exam
1 |
Exam
1 practice problems |
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|
3/7(T) |
Spring break |
| Date |
Sections |
Lecture Slides |
Notes |
Homework |
Other readings |
|
3/13(T) |
14.6 |
Lecture 10 | Lecture 10 | Homework 4 (due
3/17) 14.4(1,5,11,13,17,19,25,27,31,33,39)(41,42) 14.5(1,5,7,11,13,15,17,21,27,31,39)(24,42) |
Gradient
descent Newton's method and gradient descent |
|
3/15(R) |
14.7 |
Lecture11 |
Lecture 11 | Exam 1 makeup problems | least
square method |
|
3/20(T) |
14.7 |
|
|
saddle
more
saddle Monkey saddle |
|
|
3/22(R) |
14.8, Quiz 3 | Lecture12 | Lecture 12 | Homework 5 (due 3/30) 14.6(5,9,11,15,19,21,29,33,41,43,49,51) 14.7(1,5,9,11,13,21,31,35,41,43,49,53)(33,39,44) 14.8(3,5,9,11,33,35)(17,19,45) extra problems |
Lagrange
multiplier in economics Cobb-Douglas example |
|
3/27(T) |
14.8, |
Lecture12* |
Notes
(Cobb-Douglas) Lecture14a(Lagrange Multiplier) |
||
|
3/29(R) |
15.1 |
Lecture13 | Lecture 13 | ||
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4/3(T) |
15.2 |
Lecture14 | Lecture 14 | ||
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4/5(R) |
review for exam, 15.3 | |
|
Exam 2 practice problems | Polar
grapher |
|
4/10(T) |
Exam 2 |
Homework 6 (due
4/13) 15.1 (15,19,21,31,33,37,41,47) 15.2(3,9,13,15,17,19,23,25,31,35,37,47,49,51) |
|||
|
4/12(R) |
15.6 |
Lecture15 | Lecture 15 | small
polyhedra by vertex count Matlab: plotregion.m example5.m (regular tetrahedron) example4.m (octahedron) |
|
|
4/17(T) |
15.7 |
Lecture16 | Lecture 16 | Exam 2 makeup problems |
Matlab: surface1.m surface3.m surface2.m surface5.m surface6.m surface7.m |
|
4/19(R) |
15.8 |
Lecture17 | Lecture 17 | spherical
coordinate system |
|
|
4/24(T) |
15.9, Quiz 4 |
Lecture18 | Lecture 18 | Homework 7 15.3(5,7,9,11,15,19,25,29,33)(27,39) 15.6(3,7,9,11,13,15,17,19,21,27)(31,33,35) 15.7(3,7,9,15,17,21,23,29) 15.8(3,7,9,15,21,23,25,35,41)(39) 15.9(1,3,7,9,11,13,15,17,19) |
spherical
cap spherical
wedge spherical segment spherical sector |
|
4/26(R) |
review for final |
Lecture19 | |||
|
5/1(T) |
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