Everything can change with little or no notice at any moment…

In particular, a class (lecture and/or discussion) can be moved to on-line mode on a very short notice, so please check your e-mail before every class.

Class number 39673R

Math 445 in Fall 2022 semester: Key dates

August 22: first day of classes
September 5: Labor Day, no class
September 9: Last day to drop without a `W’ AND with refund
October 7: Last day to drop without a `W’, BUT WITH NO refund
October 12: Midterm Exam 1
October 13,14: Fall Break
October 21: Computer project 1 is due
November 11: Last day to drop with a `W’; no class (Veterans Day)
November 16: Midterm Exam 2
November 24-27: Thanksgiving Break
December 2: Computer project 2 is due; Last day of classes
December 9: Final exam (11am-1pm)

Class Schedule
Homework problems
Some homework answers
Computer Projects
Crank-Nicolson scheme for the heat equation
Implicit method for the wave equation

Extended summary

Instructor: Dr. Sergey Lototsky
Office: KAP 248D.
Phone: 213–740-2389.
E-mail: lototsky (at) USC (dot) edu
URL: https://dornsife.usc.edu/sergey-lototsky/
Lectures: MWF 12-12:50pm, WPH B27
Office hours: MWF 10:30am-11:30pm [in-person/on zoom]

Please do not hesitate to talk to me about your problems, questions, or concerns in this class. We can always arrange a special zoom meeting.
Teaching Assistant: Levon Hakobyan
E-mail: lhakobya ( at ) usc ( dot ) edu
Discussions: T Th 12-12:50pm, 1-1:50pm, KAP 141.
Office hours: Monday 2:00pm – 4:00pm and Thursday 3pm-4pm

Beside the discussion sections, the TA is responsible for quizzes (making, administering, and grading) and for collecting and grading homeworks.

Textbook: “Advanced Engineering Mathematics” by E. Kreyszig, Wiley. Any edition will work. The official version is the custom USC edition.
Supplement: “Mathematics of Physics and Engineering” by Edward K. Blum and Sergey V. Lototsky, World Scientific, 2006 (ISBN-13: 9789812566218)
Course goal: To realize that there is a lot of beautiful and useful mathematics out there beyond calculus and ordinary differential equations. In particular, we will cover all the material promised in the catalogue description of the course (Vector field theory; theorems of Gauss, Green, and Stokes; Fourier series and integrals; complex variables; linear partial differential equations; series solutions of ordinary differential equations), although not necessarily in this order. Here is an alternative look at it.
Two very interesting books closely connected with the second half of the course:
- Nicholas J. Giordano, Physics of the piano. Oxford University Press, Oxford, 2010. 184 pp.
- Barry Mazur and William Stein, Prime numbers and the Riemann hypothesis. Cambridge University Press, Cambridge, 2016. xi+142 pp.

Save the dates! There will be two in-class one-hour exams (October 12 and November 16, both Wednesday, during regular lecture period). The two-hour final exam is Friday, December 9, 11am-1pm.

Homework, Quizzes, etc.: There will be 14 weekly quizzes (every Thursdays during the discussion sections), 10 homeworks (due also on Thursday), and two computer projects (due Friday, March 11 and Friday, December 2). You should understand every solution to every homework problem and be ready to reproduce every solution without any help and in reasonable time. You are welcome to use any help whatsoever with the homework problems and the projects, but not with the quizzes.

Grading:

Quizzes 15% total
Homeworks, 15% total
The projects, 10% total [5% each]
Two Mid-Term Exams, 30% total [15% each]
Final Two-Hour Exam, 30%

Approximate Grading Scheme. A: 90 and up; B: 80-89; C: 70-79. Pluses/minuses (As in A-, B+, etc.) will mostly be decided on a case-by-case basis.

Missed work. The general rule: no make-up exams or quizzes, and no late submissions of homeworks or the project (but early submissions, especially in electronic format, are welcome). Emergencies will be handled on a case-by-case basis. If you miss the final exam, with a valid excuse, you get an incomplete in the class; an incomplete is a major inconvenience for a number of people, including yourself, so, please, do not miss the final.

To encourage and reward consistent performance throughout the semester, I will not automatically drop any scores (such as the two lowest quizzes, etc.)

Students Requiring Special Accommodation
Any student requesting academic accommodations based on special needs is required to register with DSP each semester. A letter of verification for approved accommodations can be obtained from DSP. Please be sure the letter is delivered to me (or to TA) as early in the semester as possible. DSP is located in GFS 120. To contact DSP: (213) 740-0776 [tel.], ability@usc.edu [e-mail], on the web.

Academic Integrity
USC seeks to maintain an optimal learning environment. General principles of academic honesty include the concept of respect for the intellectual property of others, the expectation that individual work will be submitted unless otherwise allowed by an instructor, and the obligations both to protect one’s own academic work from misuse by others as well as to avoid using another’s work as one’s own. All students are expected to understand and abide by these principles. Scampus (the Student Guidebook) contains the Student Conduct Code in Section 11.00, while the recommended sanctions are in Appendix A.

Academic Support The Kortschak Center for Learning and Creativity

Supplementary materials

Sample exams

Earlier MT1s MT1-S2022-problems MT1-S2022-sol

Earlier MT2s MT2-S2022 MT2-F2022 [Now…was the actual exam]

Earlier Finals Final-S2022 Final-F2022

Other materials

My notes