Mathematics Department and the Institute for Mathematical Sciences

Mathematics Department and the Institute for Mathematical Sciences

 
 
 
 
 
 
 
 

Week	Topics	Assignments
Sept 3-4	Introduction and Review : Chapter 1, Section 2.1	Problems with a (*) are not  compulsory!
Sept 9-11	First Order Differential Equations Methods of Solving Differential Equations : 2.2, 2.6 Existence of Solutions : 2.4, 2.8	Section 1.3: 5, 6  Section 2.1: 14, 15, 17, 19, 28  Section 2.2: 3, 6, 9, 25, 29  Section 2.4: 4  Section 2.6: 4, 5, 18, 19, 21  due September 17th
Sept 16-18	Second Order Differential Equations Homogeneous Equations Fundamental Solutions : 3.1, 3.2 Linear Spaces of Solutions : 3.3	Section 2.8: 7  Section 3.1: 4, 6, 10, 15, 20, 22, 33  Section 3.2: 4, 5, 13, 18, 27, 28  due Sept 24th
Sept 23-24	Constant Coefficient Equations Complex and Repeated Roots : 3.4, 3.5 Non-homogeneous Equations : 3.6	Section 3.3: 4, 5, 12, 17, 21, 23, 24  Section 3.4: 7, 12, 18, 19, 26a  Section 3.5: 1, 6, 10, 24, 27, 31*  Section 3.6: 3, 7  due October 1st
Sept 30 - Oct 2	Second Order Inhomogeneous Equations Variation of Parameters : 3.7 Review	Section 3.4: 27, 38  Section 3.5: 28, 31  Section 3.6: 13, 15, 17  Section 3.7: 2, 7, 12, 15, 17, 28*, 30  due October 9th
Oct 7-9	MIDTERM 1 (Thursday, October 9th) Power Series Solutions Review of Series : 5.1, 5.2	Read Section 5.1, do problems 2,8,13  Read Section 5.2, do problems 7,8,9  due October 15th
Oct 14-16	Series Solutions Ordinary Points : 5.3 Regular Singular Points and Euler Equations : 5.4, 5.5, 5.6	Section 5.1: 13, 14, 17, 19, 23, 24, 28  Section 5.2: 4, 8, 21  Section 5.3: 1, 5, 6, 12, 22  Section 5.4: 5, 6, 18, 19  due October 22nd
Oct 21-23	Series Solutions Regular Singular Points : 5.6, 5.7 Bessel's Equations : 5.8	Section 5.5: 1, 10, 15, 18  Section 5.6: 1, 3, 9, 10, 13  Section 5.7: 3, 4, 6, 12, 13, 16  Section 5.8: 1, 3, 6, 8  due October 29th
Oct 29-30	The Laplace Transform Definition and solution of IVPs : 6.1, 6.2 Discontinuous functions : 6.3, 6.4	Section 6.1: 5, 7, 17, 19  Section 6.2: 5, 8, 14, 16, 22, 27*  Section 6.3: 2, 9, 14, 18  Section 6.4: 3, 7, 9, 15  dueNovember 5th
Nov 4-6	MIDTERM 2 (Thursday, November 6th) Review Practice problems (PDF), (PostScript)	Section  Section  due November 12th
Nov 11-13	The Laplace Transform Impulse functions and convolution : 6.5, 6.6	Section 6.5: 4, 6, 16 (part (d) is optional)  Section 6.6: 6, 7, 9, 10, 13, 16  due November 19th
Nov 18-20	Fourier Series Boundary value problems and Fourier series : 10.1, 10.2	Section 10.1: 3 ,8,13  Section 10.2: 11, 14, 16, 17  due November 26th
Nov 25-26	Fourier series, even and odd functions : 10.3, 10.4 Partial Differential Equations The heat equation and separation of variables : 10.5	Section 10.3: 4, 5, 8, 9, 12, 14*, 15*  Section 10.4: 8, 9, 17, 18, 24, 35  Section 10.5: 2, 5, 8, 10, 12, 22*  due December 3rd
Dec 2-4	The heat equation : 10.6 The wave equation : 10.7	Section 10.5: 9, 13  Section 10.6: 2, 4, 9, 11, 14, 18  Section 10.7: 2, 6, 9, 10, 22* (ignore part (d) in 2, 6, 10)  due December 10
Dec 9-11	Review
Dec ??	FINAL EXAM (Thursday, December 18) In Old Chem 138 Note the time: 1100-1:30 p.m. !!!

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Mathematics Department and the Institute for Mathematical Sciences