Credit is not given for both MATH 286 and any of MATH 284, MATH 285, MATH 441. Prerequisite: MATH 241. This course satisfies the General Education Criteria in Fall 2018 for: Quantitative Reasoning II" (UIUC Course Catalog)

Office: Illini Hall 24 (corner of S. Wright St. and E. John St., across from Altgeld Hall)

E-mail: jchuang [at] illinois [dot] edu

Homepage: http://faculty.math.illinois.edu/~jchuang/ (Current course syllabi are linked at this webpage.)

Tutoring Center: 441 Altgeld, at least one of the above TAs will be present during the following times

- M 4-7pm
- T 4-8pm
- W 4-8pm
- R 4-8pm

Section F1: MWRF 2-2:50 PM Location: 100 GREG HALL

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A link to a

Please enroll yourself in the online discussion for this course at Piazza.

Students are encouraged to use the computer algebra system Mathematica. UIUC students may access the program online for free, or download a copy for a fee.

Mathematica examples parallel to the course textbook as well as chapter review sheets may be found at the student companion site for the course textbook.

The free, downloadable Java applets dfield and pplane may also be helpful.

At the conclusion of the course, students should be able to (1) solve certain basic classes of first-order ODEs, (2) solve first-order constant coefficient linear ODE systems, (3) understanding the pivotal simplying role of linearity for solving ODEs, and (4) solve certain classes of PDEs via Fourier series, and time permitting, (5) solve certain regular Sturm-Liouville problems

Because of their utility in modeling physical phenomena, ODEs and PDEs are used in numerous disciplines within the natural sciences and engineering. Their study draws from a multitude of mathematical perspectives, and the ease with which one may initiate their study belies the richness of its theory and interconnections, a consideration of which will significantly expand critical thinking and problem-solving skills. These will be fostered via regular homework assignments and semester exams that balance assessment of conceptual understanding and technical execution.

There will be three 75-minute midterm exams from 7-8:15PM on the following Tuesdays in 1LMS (Loomis Laboratory of Physics) Room 141:

Student scores will be based on homework (altogether 10%), three midterms (altogether 60%) and a final exam (30%). All assessments are cumulative, closed book and closed notes. Partial credit may be awarded on a question-by-question basis.

Midterm and final exam scores are visible via Moodle using your NETID login.

There will be no make-up for any assessment (including homework) except for university-sanctioned absences and religious holidays.

- Please
*first check*if your question is answered at Piazza. If not, post a question! - Go to the tutoring center in 441 Altgeld for MATH 286 help, available Monday-Thursday (most hours 4-8PM). For specific hours see the earlier section on "Teaching Assistants."
- If your question remains unanswered, drop by my office hours: Tuesdays 2-4PM and Fridays at 10:30-11:30AM and 3-3:50PM or by appointment.

- Expect to devote at least two hours of study for every hour in the classroom. Thus, for a class that meets 4 hr/wk, the student should expect to work at least 8 hr/wk outside class for a total of at least 12hr/wk for the course. This rule-of-thumb is probably an underestimate for upper-level classes.
- Know your fellow classmates. Get the contact info for at least three classmates.
- Post/view questions/answers at the Piazza site for this course. Participate in the discussion.
- Read the lesson before it is covered in class. Make a list of questions. Ask your fellow classmates for help.
- Attend class. If you have a question, ask! Likely your classmates have a similar question. Ask any remaining questions after class or seek your classmates for help.
- Study and work together. Try explaining concepts and solutions to each other.
- Do all assigned homework problems. Make sure you understand all deductions on returned assessments.

- Fall 2018 Academic Calendar (administrative deadlines, holidays, etc.)
- Student Code of Conduct: http://studentcode.illinois.edu/ and in particular the sections on academic integrity and attendance
- Disability Resources & Educational Services: https://www.disability.illinois.edu/
- Information regarding campus emergencies: http://police.illinois.edu/dpsapp/wp-content/uploads/2017/08/syllabus-attachment.pdf