Tuesday and Thursday, 11:0012:15, and Friday 11:0011:50, P&A 184
Professor Akimasa Miyake
office: P&A 25, email: amiyake_at_unm.edu, office hours: Tuesday 13:3015:30, otherwise you may arrange a meeting by appointment.
Anthony Demme
office: P&A front area, email: ademme_at_unm.edu, office hours: Thursday 15:3017:30
Mary L. Boas, "Mathematical Methods in the Physical Science," 3rd Edition, Wiley (required)
The purpose of this course is to introduce students to two important areas of mathematical physics, linear algebra and partial differential equations (PDEs), because of their ubiquitous applications to physical problems in mechanics, E&M, and quantum mechanics at the upperdivision undergraduate level. This class will provide a physicsbased coverage of these mathematical areas in contrast to the more traditional linear algebra and PDE classes offered by the Mathematics department. The course prerequisites are officially PHYC 290 and MATH 316 (otherwise, students may discuss their enrollment with the instructor). The course is suitable for undergraduate students (mainly the physics and astrophysics majors) to prepare their mathematical background needed to tackle junior and senior level physics classes, based on the foundational concepts of complex numbers, vector analysis, and ordinary differential equations.
We adapt modern pedagogy of active learning in classroom. It is quite important to do exercise, in order to digest notions and methods learned in the lectures. Furthermore, the problems of homework assignments will be selected largely from the exercises of the textbook in accordance with the progress of lectures. The final grade will be determined based on performance of exams and assignments (their weights are 70 % and 30 % respectively, for now). Each midterm exam is arranged after a couple of chapters are completed. That is how you can study rather narrow, clearlydefined selections of materials for every exam, while they are still fresh in your mind. Overall it is expected that your learning is more effective and at the same time the load by the course is less stressful this way.
Dates 
Subjects 
Assignments 
Aug. 22 Tue 
2.12.5 
2.4: 4, 6, 11, 17, 20 2.5: 19, 22, 23 
Aug. 24 Thu 
2.52.7  2.5:
36, 46, 55, 62 2.6: 2, 6, 12 
Aug. 25 Fri 
2.8 
2.7: 3, 10 2.8: 1, 3 
Aug. 29 Tue 
2.92.11, taught by Dr. Jackson 
2.9: 4, 18, 19, 27 2.10: 6, 18, 24, 28 2.11: 17, 18 
Aug. 31 Thu 
2.122.15, taught by Dr. Jackson  2.12: 1, 11, 22 2.14: 1, 11 2.15: 6, 13 
Sep. 1 Fri 
2.16, taught by Dr. Jackson  2.16: 6, 8 Calculate e^(iw1t)+e^(iw2t)^2 and describe some corresponding physics 
Sep. 5 Tue 
3.13.3 
3.2: 1, 11, 17 
Sep. 7 Thu 
3.33.4 
3.3: 3, 7, 13 
Sep. 8 Fri 
3.4 
3.4:
2, 9, 15, 21, 23 
Sep. 12 Tue 
3.5 
3.5: 12, 16, 30, 33 
Sep. 14 Thu 
3.63.7 
3.6: 2, 6, 15, 19, 32 
Sep. 15 Fri 
3.7 
Derive the orthogonal matrix for active rotations in 2D 
Sep. 19 Tue 
3.73.8  3.7: 2, 5, 19, 28, 31 
Sep. 21 Thu 
3.83.11  3.8: 1, 5, 6, 11, 25 
Sep. 22 Fri 
3.11  no
homework 
Sep. 26 Tue 
3.113.12  3.10:
2 3.11: 6, 18, 36, 47, 52 
Sep. 28 Thu 
3.13 
3.12: 2, 8, 16 3.13: 1, 3, 6 
Sep. 29 Fri 
6.16.3 
no homework 
Oct. 3 Tue 
6.36.4 
6.3: 4, 12, 16 Derive the acceleration of a constantspeed rotation on a circle, using differential formulas 
Oct. 5 Thu 
6.56.6 
6.4: 1, 2, 6 
Oct. 6 Fri 
6.66.8 
6.6: 5, 8, 11, 21 Exercise Example 1 in page 300 
Oct. 10 Tue 
6.86.9 
6.7: 11, 19, 20 6.8: 2, 11, 20 
Oct. 12 Thu 
Fall break  
Oct. 13 Fri 
Fall break 

Oct. 17 Tue 
6.96.10  6.9:
4, 6, 7 Exercise Example in page 319 
Oct. 19 Thu 
6.106.11 
6.10: 1, 9, 13 Exercise Example 1 in page 328 
Oct. 20 Fri 
6.11 
6.11:
4, 5, 16 
Oct. 24 Tue 
midterm exam 10:4512:30 

Oct. 26 Thu 
7.17.5 
7.2: 5, 17, 23 7.4: 1, 2, 7 
Oct. 27 Fri 
7.5 
7.5: 7 7.6: 14 
Oct. 31 Tue 
7.57.9 
7.7: 7 7.8: 11 
Nov. 2 Thu 
7.97.11 
7.9: 23 7.10: 4 7.11: 4, 11 
Nov. 3 Fri 
7.12 
7.12: 3, 17, 23 
Nov. 7 Tue 
13.113.2 
13.1: 2, 4 
Nov. 9 Thu 
13.3 
13.2: 5, 10, 11(hint in page
625) 
Nov. 10 Fri 
13.3 
no homework 
Nov. 14 Tue 
13.3 
13.3: 3, 7(hint in page
631), 11 
Nov. 16 Thu 
13.313.4 
no homework 
Nov. 17 Fri 
13.4 
13.4: 5, 8 
Nov. 21 Tue 
13.5 

Nov. 23 Thu 
Thanksgiving
holidays 

Nov. 24 Fri 
Thanksgiving holidays  
Nov. 28 Tue 
13.5 

Nov. 30 Thu 


Dec. 1 Fri 


Dec. 5 Tue 


Dec. 7 Thu 


Dec. 8 Fri 


Dec. 1115 
final
week 
Students may study subjects of assignments together, but everyone is expected to prepare his/her original answer sheets.
1. Assignment: [Problems of Sections 2.42.8 Solutions]
2. Assignment: [Problems of Sections 2.92.16 Solutions]
3. Assignment: [Problems of Sections 3.13.4 Solutions]
4. Assignment: [Problems of Sections 3.53.6 Solutions]
5. Assignment: [Problems of Sections 3.73.8 Solutions]
6. Assignment: [Problems of Sections 3.103.13 Solutions]
7. Assignment: [Problems of Sections 6.36.6 Solutions]
8. Assignment: [Problems of Sections 6.76.8 Solutions]
9. Assignment: [Problems of Sections 6.96.11 Solutions]
10. Assignment: [Problems of Sections 7.27.6 Solutions]
11. Assignment: [Problems of Sections 7.77.12 Solutions]
Midterm exams are usually held during the Friday problems session in a closedbook format. No communication with other students is allowed during the exams.
1. Midterm exam 10:4512:30 on October 24 (Tue), [Materials from Chapters 2, 3, 6 Solutions and grading rubric]