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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