Syllabus for "Math 322, Mathematical Analysis for Engineers, Fall 2017"

Information Type Data
Meeting Time MWF, 9:00—9:50
Meeting Room CHVEZ 109
Instructor Professor Marek Rychlik
Office Mathematics 605
Telephone 1-520-621-6865
Homepage (Mirror)

Office Hours

Personnel Day(s) of the Week Hour Room Comment
Marek Rychlik M 10:00am—11:00am Mathematics 220 Math Upper-Division Tutoring
Marek Rychlik M 2:15pm—3:15pm Mathematics 605 Regular Office Hours in my office
Marek Rychlik W 10:20—11:20 Mathematics 605 Regular Office Hours in my office
Stan Swierczek (Teaching Assistant) Tu 3:30—4:30 ENR2 N270BB Office Hours

Required Texts

Advanced Engineering Mathematics, Tenth Edition, Erwin Kreyszig, Wiley, required.

Required Examinations And Other Grade Components

  • Three 1-hour Midterms, worth 15% of the course grade each.
  • A 2-hour Final Exam worth 30%.
  • Weekly 15-minute quizzes worth 12.5% (see details below).
  • Daily attendance quizzes worht 5% of extra credit (see details below).
  • Computer-graded/written homework worth 12.5%.


  1. Math 250B, 254 or 355.
  2. Enrollment into WileyPlus system.
  3. A compatible Radio-Frequency Responder (clicker), or a cellular phone with a Turning Point Cloud app installed.


Homework is assigned throughout the semester. Two types of homework will be assigned:

  1. WileyPlus on-line assignments, graded by computer. These are due before class on Wednesday (to be followed by a clicker quiz on the subject matter of the assignment; see below).
  2. Some written homework, collected and graded by the instructor, and electronically submitted using D2L. Homework should be either typed or in pristine handwriting. If you scan your handwritten paper, the resulting image file or PDF should look pristine on the screen of a computer as well.
The above two types of homework are worth combined 12.5% of the grade.

Homework, class attendance and class participation are evaluated as follows.

  1. There will a weekly 15-minute quiz based on the WileyPlus assignment. The quizzes usually will be administered every Wednesday, after the assignment is due, except when a midterm takes place. The quizzes will be conducted using radio-frequency responders (otherwise known as "clickers"). Quizzes are worth 12.5% of the grade.
  2. There will be an attendance quiz on Monday and Friday, typically lasting 1-2 minutes and consisting of one question relevant to following 15-minute quiz. Attendance quizzes are worth 5% of ***EXTRA CREDIT***. The regular (Wednesday) quiz counts also as an attendance quiz.

Overall Course Objectives and Expected Learning Outcome

  1. Learn and review selected topics in mathematical analysis important to engineering.
  2. Gain deeper understanding of the role advanced mathematics plays in selected and important engineering applications.
  3. Improve problem-solving skills, combining several mathematical fields in one problem, such as calculus, complex numbers, linear algebra and differential equations.

Course Outline

Week Dates Topics Sections Covered
1 Aug 21—Aug 25 Complex numbers and their polar form. Exponentials, trig functions, logarithm. 13.1, 13.2, 13.5
2 Aug 28—Sep 1 Exponentials, trig functions, logarithm. Matrices, vectors. 13.6, 13.7
3 Sep 4 Labor Day - no class.
3 Sep 6—Sep 8 Exponentials, trig functions, logarithm. Matrices, vectors. 13.7, 7.1
4 Sep 11 Review for Midterm 1.
4 Sep 13 Midterm 1.
4 Sep 15 Matrices, vectors. 7.1
5 Sep 18—Sep 22 Matrix multiplication. Gaussian elimination. 7.2, 7.3
6 Sep 25—Sep 30 Linear independence and solution spaces. 7.4, 7.5
7 Oct 2—Oct 6 Determinant and inverse of a matrix. 7.7, 7.8
8 Oct 9—Oct 13 Eigenvalues. 8.1
9 Oct 16 Review for Midterm 2.
9 Oct 18 Midterm 2.
9 Oct 20 Linear ODE. Solution space for homogenous equation. Linear independence of functions. Fundamental system of solutions. 3.1, 3.2
10 Oct 23—Oct 27 Linear ODE. Wronskian test. Construction of solutions for homogenous systems. Characteristic equation. Solution when all roots are simple. 3.2
11 Oct 31—Nov 3 Solution when there are multiple roots. Solution when there are complex roots. Non-homogenous equations. 3.3
12 Nov 6 Non-homogenous equations. Variation of parameters. 3.3
12 Nov 8 Veteran's day - no class.
12 Nov 10 Systems of linear ODE. 4.2, 4.3
13 Nov 13—Nov 17 Fourier series and wave equation. Heat equation. Fourier transform. Heat equation on the line. 12.3, 11.1, 11.2, 11.5
14 Nov 20—Nov 24 Fourier series and wave equation. Heat equation. Fourier transform. Heat equation on the line. 12.6, 11.9, 12.7
15 Nov 27 Review for Midterm 3.
15 Nov 30 Midterm 3.
15 Dec 1 Optional topics. Review before the Final Exam.
16 Dec 4—Dec 6 Optional topics. Review before Final Exam.
Finals Week Dec 12 (Tuesday) Final Exam, 10:30 pm - 12:30 pm (regular room).

Course Policies

Attendance Policy

Students are expected to attend every scheduled class and to be familiar with the University Class Attendance policy as it appears in the General Catalog. It is the student's responsibility to keep informed of any announcements, syllabus adjustments or policy changes made during scheduled classes.

Expected Classroom Behavior

Students are expected to behave in accordance with the Student Code of Conduct and the Code of Academic Integrity. The guiding principle of academic integrity is that a student's submitted work must be the student's own. University policies can be found at

Threatening Behavior

See No prohibited behavior will be tolerated.

Administrative Drop

Students who miss the first two class meetings will be administratively dropped unless they have made other arrangements with the instructor.

Missed Exams

Students are expected to be present for all exams. If a verifiable emergency arises which prevents you from taking an in-class exam at the regularly scheduled time, the instructor must be notified as soon as possible, and in any case, prior to the next regularly scheduled class. Make-up exams and quizzes will be administered only at the discretion of the instructor and only under extreme circumstances. If a student is allowed to make up a missed exam, (s)he must take it at a mutually arranged time. No further opportunities will be extended. Failure to contact your instructor as stated above or inability to produce sufficient evidence of a real emergency will result in a grade of zero on the exam. Other remedies, such as adjusting credit for other exams, may be considered.

Accessibility and Accommodations

Disabled students must register with Disability Resources and be identified to the course instructor through the University's online process in order to use reasonable 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.

Policy on the grade of "I" (incomplete)

The grade of "I" will be awarded if all of the following conditions are met:

  • The student has completed all but a small portion of the required work.
  • The student has scored at least 50% on the work completed.
  • The student has a valid reason for not completing the course on time.
  • The student agrees to make up the material in a short period of time.
  • The student asks for the incomplete before grades are due, 48 hours after the final exam.


Changes to the Syllabus

The information contained in the course syllabus, other than the grade and absence policies, is subject to change with reasonable advance notice, as deemed appropriate by the instructor.