University of Arizona | Department of Mathematics | Ildar Gabitov | MATH 322 | Syllabus
MATH 322
Mathematical Analysis for Engineers
Classroom: | PAS 314, TR, 9:30–10:45am | ||||||
Instructor: | Ildar Gabitov
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Office Hours: | Tuesday 4:00–5:00pm, Wednesday 2:00–3:00pm, Thursday 4:00–5:00pm (subject to change) and by appointment | ||||||
Text: | Erwin Kreyszig, Advanced Engineering Mathematics 10th ed. |
Course description: Complex variables, linear algebra, Fourier series, partial differential equations. Examples will have a strong emphasis on optics, photonics, and engineering.
Homework: Will be assigned regularly. Homeworks will be posted on WileyPlus® course ID is 749882, graded by computer. Homework is an essential component of the course, whether it is assigned for grading or not. Written homework could be turned in in 1) class; 2) MATH 108 room (before 4:30pm); 3) MATH 722 office (slide it under the door if I'm not there). All penalties for late homeworks are at the discretion of your instructor. They could depend on how late it is, whether solutions are discussed in class before or not, etc. It is allowed to work together on homework problems, but the work you turn in must be your own. Will be assigned regularly.
Grading: The total number of points available on tests, homework and quizes is 700 = 200(homeworks (90%) + quizes (10%)) + 3×100(midterms) + 200(final exam). Three in-class midterms are scheduled for Tu, Feb 18, for Th, Mar 19, and Th, Apr 23. The final exam is on Thu, May 12, 8:00am–10:00am (Sec 003) in the same room where the class met all semester. The University's Exam regulations for final exam week will be strictly followed, in particular those regarding students with multiple exams on a single day. Grades will be no lower than set forth in the following table:
630 ≤ points ≤ 700 | 90% to 100% | A |
560 ≤ points ≤ 629 | 80% to 90% | B |
490 ≤ points ≤ 559 | 70% to 80% | C |
420 ≤ points ≤ 489 | 60% to 70% | D |
0 ≤ points ≤ 419 | 0% to 60% | E |
Withdrawing from the course: You can drop the course without W grade by Tue, Feb 5. If can withdraw from the course by Tue, Mar 26. The University allows withdraws after Tue, Mar 26, but only with the Dean's signature. Late withdraws will be dealt with on a case-by-case basis, and requests for late withdraw with a W without a valid reason may or may not be honored.
Grade Policies of the University of Arizona.
Scheduled Topics/Activities by Week
Th Jan 16 | Complex Numbers, Polar Form, Powers and Roots, | 13.1, 13.2; |
Tu Jan 21 | Powers and Roots, Derivative, Analytic Function | 13.2, 13.3; |
Th Jan 23 | Cauchy–Riemann Equations, Exponential Function | 13.4, 13.5; |
Tu Jan 28 | Trig./Hyperb. Functions, Logarithm | 13.6, 13.7; WHW1 |
Th Jan 30 | Matrices, Vectors: operations | 7.1, 7.2; |
Tu Feb 04 | Linear Systems, Linear Independ., Rank, Vector Space | 7.3, 7.4; HW2 |
Th Feb 06 | Solutions, Existence, Uniqueness, | 7.4, 7.5; |
Tu Feb 11 | Determinants, inverse matrix | 7.6, 7.8; HW3 |
Th Feb 13 | Vector Spaces, Linear Transformations, | 7.8, 7.9; |
Tu Feb 18 | Matrix Eigenvalues and Eigenvectors | 8.1, 8.2; HW4 |
Th Feb 20 | Midterm 1 | |
Tu Feb 25 | Review, Eigenbasis similarity transformation | 8.4; HW5 |
Th Feb 27 | Diagonalization, 2-nd order Homogen. Lin. ODEs (HLODEs), | 8.4,2.2; |
Tu Mar 03 | HLODEs with const. coef., Nonhomogen. ODEs | 2.2, 2.7; HW6 |
Th Mar 05 | Higher order HLODEs with const. coef, systems of ODEs | 3.2, 4.1; |
Tu Mar 10 | Spring recess - no classes | |
Th Mar 12 | Spring recess - no classes | |
Tu Mar 17 | Theory of Systems of ODEs, | 4.1, 4.2; HW7 |
Th Mar 19 | Midterm 2 | |
Tu Mar 24 | Review, Constant-Coefficient Systems, | 4.2, 4.3; |
Th Mar 26 | Discussion of WHW6, Nonhomogen. Lin. Syst. of ODEs | 4.6; |
Tu Mar 31 | Fourier Series, properties | 11.1, 11.2; QZ5 |
Th Apr 02 | Approximation by Trigonometric Polynomials, ζ(2)=π2/6, | 11.4; |
Tu Apr 07 | Fourier Integral and Fourier transform | 11.7, 11.9; HW8 |
Th Apr 09 | PDEs, Vibrating String, Wave Equation, | 12.1, 12.2; QZ6 |
Tu Apr 14 | Solution by Separating Variables, | 12.2, 12.3; WHW9 |
Th Apr 16 | Solution by Separating Variables | 12.3, 12.5; QZ7 |
Tu Apr 21 | Solution by Separating Variables, examples | 12.5, 12.6; HW10 |
Th Apr 23 | Solution by Fourier Integrals and Transforms, | 12.6, 12.7; |
Tu Apr 28 | Review of class materials | HW11 |
Th Apr 30 | Midterm 3 | |
Tu May 05 | Review of class materials | |
Tu May 12 | Final Exam 08:00&bdash;10:00am (Sec 003) |
Accessibility and accommodations: It is the University's goal that learning experiences be as accessible as possible. If you anticipate or experience physical or academic barriers based on disability, please let me know immediately so that we can discuss options. You are also welcome to contact Disability Resources, ☎ (520) 621-3268, to establish reasonable accommodations.
Please be aware that the accessible table and chairs in this room should remain available for students who find that standard classroom seating is not usable.
The UA policy regarding absences for any sincerely held religious belief, observance or practice will be accommodated where reasonable. Absences pre-approved by the UA Dean of Students (or Dean's designee) will be honored.
You are expected to behave in accordance with the Student Code of Conduct and the Code of Academic Integrity. The University is committed to creating and maintaining an environment free of discrimination.