Washington DC, 20059
DEPARTMENT OF PHYSICS AND ASTRONOMY  tel.: +12028066245 
Intro. to Math. Physics II/Math. Methods in Physics II
PHYS193 (14398)/PHYS217 (12296): MW: 8:40–10:00 am, Thirkield Hall, Rm. 103
[Topics]
[Daily Schedule]
[Minimal Requirements]
[Assignments]
[eGear1]
[eGear2]
Grading recipe (no makeups are offered, except in cases of documented medical or family emergency):
Component  Time  Remark  % of Grade 

Homework  See in daily schedule  Late HW = 0 credit !!!  20% 
Classwork/Quizzes  unannounced  current material; short and straightforward  20% 
Midterm Exams (two) 
See in daily schedule  material covered since the previous exam  20% (each) 
Drop the one worst of the above components (for each student individually).  
Final exam  Last week of semester  comprehensive: complete course content  40% 
— See also the minimal requirements for passing the course —
The aim of the course is to introduce, develop and discuss various methods of solving first, second and higher order ordinary and partial differential equations subject to a variety of boundary, initial and final conditions. The emphasis is always on the adaptation of the standard mathematical methods and techniques to their application in solving typical problems in physics and engineering. In this quest, this course extends, continues and builds on the material of the 1st part. Applications range from classical mechanics, hydrodynamics, electromagnetism and statistical physics through the quantum counterparts of these fields, and various engineering applications of these physics models, but also some less obviously related models such as variants of the predatorprey model in social economy and marketing.
DaytoDay Schedule 

— Students are required to read ahead — see also Howard University Calendars  
01/08  Course logistics and review  

01/10  D01  Vector spaces, scalar products and the GramSchmidt orthogonalization: §5.1–2  
01/15  Observed Holiday: Martin Luther King, Jr.’ Bithday  
01/17  D02  Operators, transformations and invariants: §5.3–8  
01/22  D03  The SturmLiouville theory and ODEs as eigenvalue problems: Ch.8  
01/24  D04  Orthogonal polynomials and certain special series: §12.1–4 [HW1 due]  
01/29  D05  Applications of series: §12.5–8  
01/31  D06  More special functions: §18.1–3 [HW2 due]  
02/05  D07  More special functions: §18.4–6 +more  
02/07  D08  More special functions: §18.7–8  
02/12  D09  The Gammafunction and related functions: §13.1–3  
02/14  1st Midterm Exam (Ch.5, 8, 12 + 18) openbook inclass exam takehome due Tuesesday, 02/20, 12:00 am (midnight, end of day) 

02/19  Observed Holiday: Presidents’ Day  
02/21  D10  Other functions related to the Gammafunction: §13.4–6 [HW3 due]  
02/26  D11  The Fourier transform: §20.1–3  
02/28  D12  Applications of the Fourier transform: §20.4–6 [HW4 due]  
03/03–10: Spring Recess  
03/11  D13  The Laplace transform: §20.7–8  
03/13  D14  Applications of the Laplace transform: §20.9–10 [HW5 due]  
03/18  D15  Integral equations: §21.1–2  
03/20  D16  Neumann series and HilbertSchmidt theory: §21.3–4 [HW6 due]  
03/25  D17  Group theory and symmetries: §17.1–3  
03/27  2nd Midterm Exam (Ch.13, 20–21) openbook inclass exam takehome part due Monday, 04/01, 12:00 am (midnight, end of day) 

04/01  D18  Discrete groups and symmetries: §17.4–6  
04/03  D19  Continuous groups and symmetries: §17.7–10 [HW7 due]  
04/08  D20  Calculus of variations: §22.1–2  
04/10  D21  Constrained calculus of variations: §22.3–4 [HW8 due]  
04/15  D22  Probability; Discrete probability distribution: §23.1–4  
04/17  D23  Continuous probability distributions; Statistics: §23.3–7 [HW9 due] Final Exam handed out; due Friday, 04/26, 12:00 am (midnight, end of day) 

04/22  D24  Nonlinear Dynamics, Chaos and Modeling (extra)  
04/24  D25  Nonlinear Dynamics, Differential and Algebraic Geometry (extra) [HW10 due]  
04/26  Final Exam due by 12:00 am (midnight, end of day)  
All indicated times and deadlines cite “Eastern time,” standard or daylightsaving — as Howard University officially adopts. 
To pass the course with a grade B or better, a graduate Student must by the time of the final exam be able to demonstrate the ability to determine:
A graduate student who cannot demonstrate the above listed skills by the time of the final exam automatically forfeits a grade of B or better — regardless of the total number of points acquired in homework, quizzes and exams.
All written assignments (HW & takehome tests) are due by 12:00 am (midnight), end of the day indicated and should be sent by email as single (bundled) PDF files; to this end, using a cameratoPDFscanner app on a smartphone or tablet is highly recommended. Late homework will not be accepted, except in cases of documented emergency.
Collaboration — but not blind copying — on the homework assignments is strongly encouraged; students should use this to learn from each other. There is no substitute for the diverse previous experiences and wealth of knowledge brought together by a cohort of students. All exams and quizzes are open text and open classnotes (including notebooks and class handouts), but no collaboration is allowed; by signing and submitting the exams and quizzes, the student vouches to have abided by this policy. Violation of this policy is covered under University regulations on academic dishonesty and cheating.
First and foremost: your assignments are your communication to the instructor of the level of expertise to which you have mastered the subject matter covered in the course. So, while a neat presentation of home, quiz and examwork is not required for full credit, it certainly makes it easier to assess the quality of the work and give the proper credit due. In all cases, include a simple sketch if it might help conveying the approach or the calculations. Where necessary, include all units and symbols such as the measure of an integral, arrow on a vector, vertical bars for the absolute value of a quantity, for the magnitude of a vector or for the determinant of a matrix, etc.
Each assignment is to be submitted (and is datestamped) by email (→ thubsch@mac.com), as a single PDF file. Handwritten and other “hardcopy” answersheets should be scanned and bundled into a single PDF file — there are many smartphone and tablet apps that do this automagically; some printers also include a flatbed scanner, if you prefer.
Class Attendance Restricted to Registered Students: Only students whose names appear on the official course roster are permitted to attend class meetings. Students who are not registered are not permitted to attend or participate in course activities, do not have access to Blackboard, cannot submit course assignments, and will not receive a grade for this course. It is the students’ responsibility to ensure that they are properly registered by the published registration deadline. Requests to add courses after the deadline will not be considered.
Howard University is committed to creating an accessible, inclusive, and safe learning environment for all students and providing equal access to students with documented disabilities. Students seeking reasonable accommodation must first register with the Office of Student Services (OSS). There you can engage in a confidential conversation about the process for requesting reasonable accommodations in the classroom and clinical settings, which the Office of Student Services (OSS) determines. Accommodations must be requested each semester. Accommodations are not provided retroactively. If you want to request accommodations, please contact OSS via email at oss.disabilityservices@howard.edu or visit https://howard.edu/disabilityservices
Howard University’s Policy Prohibiting Sex and GenderBased Discrimination, Sexual Misconduct and Retaliation (aka, the Title IX Policy) prohibits discrimination, harassment, and violence based on sex, gender, gender expression, gender identity, sexual orientation, pregnancy, or marital status. With the exception of certain employees designated as confidential, note that all Howard University employees – including all faculty members – are required to report any information they receive regarding known or suspected prohibited conduct under the Title IX Policy to the Title IX Office (TitleIX@howard.edu or 2028062550), regardless of how they learn of it. For confidential support and assistance, you may contact the Interpersonal Violence Prevention Program (2028361401) or the University Counseling Service (2028067540). To learn more about your rights, resources, and options for reporting and/or seeking confidential support services (including additional confidential resources, both on and off campus), visit titleix.howard.edu.
©2024, Tristan Hübsch