academic calendar

differential equations for applications

spring semester 2018

http://www.phys.uconn.edu/˜rozman/Courses/m3410_18s/

Last modified: April 23, 2018

The section and the page numbers below refer to the following edition of the course textbook: W. E. Boyce, R. C. DiPrima,Elementary Differential Equations and Boundary Value Problems, Wiley, 10th edition, 2012. Other editions may have changedpage numbers but typically have the same section numbers.

Monday Wednesday

Jan 15th Jan 17th Lecture 1

Introduction: some basic mathematical models; directionfields. Sec. 1.1, pp. 1–7. Classification of DifferentialEquations. Sec. 1.3, pp. 16–19.

Homework 1 assigned: due Jan 24

Jan 22nd Lecture 2

First order linear equations; method of integrating factors.Sec. 2.1, pp. 31–39. Separable equations. Sec. 2.2,pp. 42–48.

Jan 24th Lecture 3

Separable equations. Sec. 2.2, pp. 42–48.

Homework 2 assigned: due Jan 31

Jan 29th Lecture 4

Modeling with first order equatins. Sec. 2.3, pp. 51–59.Orthogonal trajectories.

Jan 31st Lecture 5

Autonomous equations. Sec. 2.5, pp. 78–88. Second orderhomogeneous equations with constant coefficients, realroots. Sec. 3.1, pp. 137–143.

Homework 3 assigned: due Feb 7

Feb 5th Lecture 6

Solutions of linear homogeneous equations. The Wronskian.Sec. 3.2, pp. 145–156. Complex roots of the characteristicequation. Euler’s formula. Sec. 3.3, pp.158–164.

Feb 7thAll UConn classes are cancelled

Homework 4 assigned: due Feb 14

Feb 12th Lecture 7

Reduction of order. Sec. 3.4, pp. 171–172. Repeated rootsof characteristic equation. Sec. 3.4, pp. 167–170.

Feb 14th Lecture 8

Nonhomogeneous equtions. The method of undeterminedcoefficients. Sec. 3.5, pp. 175–184. The method of variationof parameters. Sec. 3.6, pp. 186–190.

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MATH 3410 Academic calendar Spring 2018

Monday Wednesday

Feb 19thMidterm I

Feb 21st Lecture 9

Series solutions near ordinary point. Sec. 5.2, pp. 254–263.

Homework 5 assigned: due Feb 28

Feb 26th Lecture 10

Euler equations. Sec. 5.4, pp. 272–279.Feb 28th Lecture 11

Series solutions near a regular singular point. Sec. 5.5,pp.282–286.

Homework 6 assigned: due Mar 7 Mar 21

Mar 5th Lecture 12

Bessel’s equation. Sec. 5.7, pp. 296–305.Mar 7thAll UConn classes are cancelled

Mar 12thSpring recess – No classes

Mar 14thSpring recess – No classes

Mar 19th Lecture 13

Bessel functions. Sec. 5.7, pp. 296–305.Mar 21stAll UConn classes are cancelled

Homework 7 assigned: due March 28

Mar 26th Lecture 14

Two-point boundary value problem. Sec. 10.1, pp. 589–595.Mar 28th Lecture 15

Fourier series. Sec. 10.2–10.3, pp. 597–611. Gibbsphenomenon.

Apr 2nd

Midterm II

Apr 4th Lecture 16

Partial differential equations. Separation of variables.Sec. 10.5, pp. 623–630.

Homework 8 assigned: due April 11

Apr 9th Lecture 17

Diffusion equation. Sec. 10.6, pp. 632–638.

Apr 11th Lecture 18

Wave equation. Sec. 10.7, pp. 643–652.

Homework 9 assigned: due April 18

Apr 16th Lecture 19

Wave equation, II.

Apr 18th Lecture 20

Laplace equation. Sec. 10.8, pp. 658–665.

Homework 10 assigned: due April 25

Apr 23rd Lecture 21

Laplace equation, II. Sec. 10.8, pp. 663–665.

Apr 25th Lecture 22

Review session

Apr 30th

Week of Finals

May 2nd

Week of Finals

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