## Differential Equations I, MATH 427

This is the home page and first day handout for MATH 457, meeting TTh 8:30 -- 9:45 in TBE B172.  My name is Dr. Arthur Baragar, my office is CDC-1016, and I can be reached at 895-0378. Important information announced in class will also be posted on WebCampus. The prerequisite for this course is MATH 283 (Calculus III) and MATH 330 or 365 (linear algebra).

Syllabus: The "simplest" diffential equation is y=f '(x), which is solved using integration. We have already seen (in Calculus II) that this is a difficult problem and is sometimes not even solvable. This course covers a variety of differential equations, how they arise, and the techniques used to solve them. We will cover Chapters 1 -- 5 of the text, which includes the following topics:

• First order differential equations: linear, integrating factors, autonomous equations, exact equations, Euler's method, existence and uniqueness of solutions, difference equations.
• Second order linear differential equations: homogeneous equations, the Wronskian, the characteristic equations, complex roots, repeated roots, non-homogeneous equations and the method of undermined coefficients, variation of parameters.
• Higher order linear equations: homogeneous equations with constant coefficients, methods of undetermined coefficients and variation of parameters.
• Series solutions of second order linear equations: near ordinary points, near regular singularities, Bessel's equations.

Text: Elementary Differential Equations and Boundary Value Problems, 10e, by William E. Boyce and Richard C. DiPrima, published by Wiley.

• Homework: 10%.
• Quizzes: 10%.
• Exam one, Thursday, October 1st: 17%.
• Exam two, Thursday, October 29th: 17%.
• Exam three, Tuesday, November 24th: 16%.
• Final, Thursday, December 10th, 8:00 am – 10:00 am: 30%.

There is no preset correlation between numerical grades and letter grades.  A letter grade (without + or -), a report card, if you like, will be posted on WebCampus after every exam.

Office Hours: If you need to see me, please look for me during the office hours posted below, or please make an appointment. Office hours begin the second week of classes.

• Mondays and Wednesdays, 2:30 -- 3:30,
• Tuesdays, 1:00 -- 2:00,
• ... or by appointment.

Please also feel free to ask me questions right after class. Office hours begin the second week of classes.

Breakout sessions: There are breakout sessions, which are conducted by Ye Kang on Fridays, 8:30 -- 9:45 in CBC C128, and 10:00 -- 11:15 in CBC C217. Ye Kang will collect the homework and conduct the quizzes. His office is CDC 928; his phone number is 895-5221; and his email address is kangy4@unlv.nevada.edu. His office hours are

• Tuesdays and Thursdays, 10:00 -- 11:30.

Other Important Dates:  (See the UNLV calendar for more details.)

• August 24:  Instruction and late registration begin.
• August 28:  Final date for late registration, course additions, changes, or fee payment (with late penalty).  Last day to inform me of absences due to religious holidays.  Last day to drop a course and receive 100% refund.
• September 7:  Labor Day recess.
• October 30:  Nevada Day recess (Friday). Final day to drop or withdraw from classess (without a refund) or change from credit to audit.
• November 11:  Veterans' Day recess (Wednesday).
• November 26:  Thanksgiving.
• November 30th – December 5th:  Study Week.
• December 7th –12th:  Final examinations.

University required announcements:

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