University of Illinois at Urbana-Champaign

Fall 2018
MATH 441. Differential Equations, Section B13

245 Altgeld Hall, MWF, 9.a.m.

Instructor: Bruce Berndt
Department of Mathematics
Office: 215 Altgeld Hall
Phone: (217) 333-3970
Fax: (217) 333-9576
Office Hours: Monday 10-11 a.m., Wednesday 10-11., Thursday, 10--11 a.m.
Email: berndt@illinois.edu

Textbook: Elementary Differential Equations and Boundary Value Problems, by Boyce and DiPrima, 10th ed.

Course Syllabus

Course Grade: Each of 3 hour exams counts 20%; final exam counts 40%--50%, -- --depending on performance; homework performance will lower or better grade in borderline cases.

Review Session, This evening (December 12), 7 p.m., 245 Altgeld

Office Hours: Thursday, 2-5 p.m.; Monday, 10 a.m.-2 p.m.

First Exam: September 28, 2018

Second Exam: November 2, 2018

Third Exam: December 7, 2018

Final Exam: Tuesday, December 18, 2018; 1:30-4:30 p.m., 245 Altgeld

exam1solutions.pdf
exam1grading.pdf
441exam2sols.pdf
exam2grading.pdf
math441exam3solutions.pdf
exam3grading.pdf

Notes for solving linear differential equations with constant coefficients

solvingde.pdf

Notes for solving linear differential equations with power series

seriessolutions.pdf

Notes for solving Bessel's differential equation

besselde.pdf

Homework Assignments


Section 1.3, odd problems 1--20,

Section 2.1, odd problems 1--20, 39, 41; hand in 19, 41

Section 2.2, 1,3,5,7,9,12--16,21,23; hand in 25,32

Section 2.6, 1,3,5,7,9,11,15,24,25,27; hand in 24,29

Section 2.4, 1,3,7,9,11,29; hand in 5,31

Section 2.4, 13,15,23; hand in 22

Section 2.8, 3,5,7,9,11a,13; hand in 14

Section 2.9, 37,39,41,43,45,49,51; hand in 47

Section 3.1, 1,3,5,7,9,11,13,15,25,28; hand in 23

Section 3.2, 1,3,5,7,9,11,13,15,16,17,19,23,31; hand in 25,27

Section 3.3, 1,5,7,9,11,13,15,23,27,31

Section 3.4, odd problems 1--14; hand in 20

Section 3.4, 23,25,33,41,42,43; hand in 45

Section 3.5, 1,2,3,4,8,9,13,15,19; hand in 17,20

Section 4.2, odd problems, 11-36; hand in 27,35

Section 4.3, 1,2,4,5,7,9,12,13,15; hand in 8,17

Section 4.1, odd problems 1-16; hand in 17

Section 3.6, 1,3,5,7,9; hand in 11

Section 4.4, 2,3,5

Section 5.1, odd problems 1-20; hand in 8

Section 5.2, 1,2,4,7,9,12; hand in 13

Section 5.3, 5-8, calculate a few term for 11,13,15; hand in 10

Section 5.4, odd problems 1-36; hand in 9,31

Section 5.5, 3,4,5,7,10; hand in 9 on Nov. 7

Section 5.5, 11,12,13; hand in 16

Section 5.6, odd problems 1-11,13,16,17; hand in 20 on Nov. 13

Section 5.7, 1,3; hand in 6

Section 5.7, 7,8; hand in 11

Section 5.7; hand in class problem on two Bessel function derivatives

Section 7.1, do as many problems that you need in order to review matrices

Section 7.2, 3,6,9,11,13,15,17,19; hand in 23

Section 7.3; 1,3,7,9,17,19,23,25; hand in 26

Section 7.4, 2,3,5,8,9 hand in 6

Section 7.5, 1,3,5,7,9,11,13,15,21,23,32; hand in 17 on Dec. 12

Section 7.6, odd problems 1-21

Section 7.8, odd problems 1-14

Selected Solutions

Homework #1
Homework #2
Homework #3
Homework #4
Homework #5
Homework #6
Homework #7
Homework #8
Homework #9
Homework #10
Homework #11
Homework #12
Homework #13