Math 54 Summer 2017

Instructor: Patrick Lutz
Email: Reverse of ude.yelekreb “at” ztulgp
Office: 840 Evans
Office Hours: MWF 910, TuTh 34
Final Week Office Hours: M 910, WF 911, TuTh 121 and 34

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, 23ac, 26  Quiz, Solutions  Worksheet 
23  7/21  Projections, GramSchmidt  6.3, 6.4  6.3: 1, 3, 4, 9, 11, 21ad, 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, 18ac, 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 makeup 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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