Math 54 Summer 2017

 
  • Instructor: Patrick Lutz

  • Email: Reverse of ude.yelekreb “at” ztulgp

  • Office: 840 Evans

  • Office Hours: MWF 9-10, TuTh 3-4

  • Final Week Office Hours: M 9-10, WF 9-11, TuTh 12-1 and 3-4

Announcements

Schedule

Date Topics Readings Homework Problems Quiz Worksheet
1 6/19 Intro, review of complex numbers Handout, Appendix B (complex numbers) HW 1 No quiz today No worksheet today
2 6/20 Linear Equations and Gaussian Elimination 1.1, 1.2 1.1: 3, 11, 15, 23, 24
1.2: 5, 7, 11, 15, 16, 17, 18, 23, 26, 30
Quiz, Solutions Worksheet
3 6/21 Vectors 1.3 1.3: 1, 5, 9, 11, 14, 15, 22, 23 Quiz, Solutions Worksheet
4 6/22 Linear Independence, Matrices 1.7, 1.4 1.7: 1, 11, 17, 21, 22, 23, 33, 36
1.4: 1, 5, 7, 9, 11, 17, 18, 24
Quiz, Solutions Worksheet
5 6/23 Linear Transformations 1.8, 1.9 1.8: 1, 3, 7, 9, 13, 14, 17, 22, 30, 32
1.9: 1, 5, 9, 17, 22, 25, 35
Quiz, Solutions Worksheet
6 6/26 Geometry of solution sets, Review 1.5, 1.9 1.5: 5, 11, 24, 26, 38, 39
Supplementary exercises: 14, 18
Quiz, Solutions Worksheet
7 6/27 Matrix Algebra 2.1 2.1: 1, 2, 3, 7, 10, 12, 18, 19, 22, 23 Quiz, Solutions Worksheet
8 6/28 Inverses 2.2, 2.3 2.2: 1, 5, 9, 10, 12, 13, 16, 20, 31, 38
2.3: 1, 3, 5, 12, 13, 21, 36
Quiz, Solutions Worksheet
9 6/29 Subspaces, Bases 2.6 2.6: 2, 3, 5, 11, 13, 17, 18, 27, 28 Quiz, Solutions Worksheet
10 6/30 Bases, Dimension 2.7, 4.2 2.6: 22, 23
2.7: 9, 16, 21, 23, 24
4.2: 1, 3, 5
4.3: 13, 21, 23, 25
Quiz, Solutions Worksheet
11 7/03 Vector Spaces 4.1, 4.2, 4.3 4.1: 1, 5, 6, 7, 8, 9, 21, 22, 25, 26, 32 Quiz, Solutions Worksheet
7/04 Fireworks
12 7/05 Coordinates 2.7, 4.4 4.4: 1, 5, 13, 18, 20, 23, 24, 26, 27, 28, 31, 32 Quiz, Solutions Worksheet
13 7/06 More on Bases 4.5, 5.4 4.2: 31, 35
4.3: 31, 32
4.5: 21, 23, 25
5.4: 2, 6, 9
Quiz, Solutions Worksheet
14 7/07 Change of Basis 4.7 4.5: 26, 27, 30
4.7: 3, 9, 10, 20a
Quiz, Solutions Worksheet
15 7/10 More Change of Basis 4.5, 4.7 2.3: 28, 30
4.5: 9, 11, 13
4.7: 13, 14
Quiz, Solutions Worksheet
16 7/11 Determinants 3.1, 3.2 3.1: 3, 15, 22
3.2: 7, 16, 19, 29, 33
4.6: 7, 9
Quiz, Solutions Worksheet
17 7/12 Eigenvalues 5.1, 5.2 5.1: 10, 11, 20, 21, 24, 26, 29, 31
5.2: 1, 2, 9, 17, 19
Quiz, Solutions Worksheet
18 7/13 Diagonalization 5.3, 5.4 5.1: 13, 15
5.2: 3, 5
5.3: 1, 4, 5, 9, 13, 21, 22, 23, 24
Quiz, Solutions Worksheet
19 7/14 More Diagonalization 5.3, 5.4 No homework No quiz today No worksheet today
7/17 Midterm
20 7/18 Review midterm, Complex Eigenvalues 5.5 5.5: 1, 2, 3, 4, 5, 6
Supplementary Exercises: 2, 3, 9
No quiz today Worksheet
21 7/19 Geometry of \(\mathbb{R}^n\) 6.1 5.5: 7, 13
6.1: 1, 2, 3, 5, 7, 9, 13, 19, 28
Quiz, Solutions Worksheet
22 7/20 Orthogonal Basis 6.2 6.2: 7, 9, 17, 21, 23a-c, 26 Quiz, Solutions Worksheet
23 7/21 Projections, Gram-Schmidt 6.3, 6.4 6.3: 1, 3, 4, 9, 11, 21a-d, 23, 24
6.4: 9, 11, 22
Quiz, Solutions Worksheet
24 7/24 Least Squares 6.5 6.2: 24, 28
6.3: 22
6.5: 1, 3, 7, 13, 17, 18a-c, 20
Quiz, Solutions Worksheet
25 7/25 Inner product spaces 6.7 6.7: 1, 3, 5, 7, 14, 21, 23, 25, 26 Quiz, Solutions Worksheet
26 7/26 Symmetric matrices 7.1, 7.2 7.1: 1, 17, 26, 27, 29 Quiz, Solutions Worksheet
27 7/27 Intro to ODEs 4.2, 6.2 4.2: 3, 5, 10, 13, 15, 26
6.2: 1, 19
No quiz today Worksheet
28 7/28 Repeated and Complex roots 4.2, 4.3 4.2: 19, 37
4.3: 3, 13, 21, 22, 28, 36
6.2: 5, 9, 17
Quiz, Solutions Worksheet
29 7/31 Inhomogeneous ODEs 4.4, 4.5 4.4: 11, 12, 13, 21, 29
4.5: 2, 5, 17, 29
Quiz, Solutions Worksheet
30 8/01 Systems of ODEs 6.1, 9.1, 9.4 6.1: 7, 9
9.1: 3, 7, 11
9.4: 5, 26, 28
Optional: 6.1 34, 35
Quiz, Solutions Worksheet
31 8/02 More on Systems of ODEs 9.4, 9.5 9.4: 37
9.5: 11, 14, 17, 26, 31, 35
Quiz, Solutions Worksheet
32 8/03 Complex eigenvalues and pictures 9.5, 9.6
Optional (but cool): 9.8
9.5: 41, 49
9.6: 1, 3, 4, 23
Optional: 9.8 26, 27
Quiz, Solutions Worksheet
33 8/04 Intro to PDEs 10.1, 10.2, Notes HW 32 Quiz, Solutions Worksheet
34 8/07 Fourier Series 10.3, 10.4 (and Lay 6.8) NS&S 10.3: 9, 12, 14, 16
Lay 6.8: 13
Quiz, Solutions Worksheet
35 8/08 Fourier Series and the Heat Equation 10.4, 10.5 Optional: 10.4: 5, 7, 8, 10, 17, 19 Quiz, Solutions Worksheet
36 8/09 Other PDEs 10.6 No homework No quiz today No worksheet today
37 8/10 Review Everything No homework No quiz today No worksheet today
8/11 Final

Course Mechanics

Grading scheme:

10% quizzes, 10% HW, 30% midterm, 50% final.

Quizzes:

Every day at the beginning of class there will be a 10 minute, 4 point quiz on the previous day's material. It is my intention that if you understood the previous day's material then the quiz should not be tricky and should take less than 10 minutes. The lowest 7 scores will be dropped. There are no make-up quizzes.

Homework:

Homework is assigned daily (and you should do it daily) and it is due Tuesdays and Fridays at the beginning of class. One problem per day will be graded for accuracy. The lowest 2 scores will be dropped.

When answering homework questions in this class, you are required to show your work or give an explanation of your answer. You don't have to write a lot, but you should write enough so that any of your classmates would be convinced that your answer is correct after reading your explanation. If you fail to do this, you will not receive full credit.

Tests:

There will be a midterm on Monday, July 17 in class and a final on Friday, August 11 in class. Both will be 2 hours long and closed book. Your final score will replace your score in each other category (midterm, HW, and quizzes) if it helps.

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