Instructor:  Markus Schmidmeier
Course:  Engineering Mathematics I
Fall 2023

Engineering Mathematics I  ---  Homework assignments

All problem numbers refer to our textbook by Christian Constanda, Differential Equations, 2st edition, Springer 2017.

Textbook
Sections

Problems
 

due
 

Chapter 1, Classification, IVP & BVP (Sections 1.4 and 2.1) 1.3/ 2, 3, 6, 10, 14; 1.4/ 1, 2, 3, 4, 5 Friday, August 25
Chapter 2, Separable and linear 1st order ODEs (Sections 2.2, 2.4, 2.7) 2.1/ 4, 8, 12, 16; 2.2/ 2, 6, 10, 14 Friday, September 1
Chapter 2, Bernoulli equations 2.1/ 10; 2.2/ 8; 2.4/ 2, 4, 6, 8; 2.7/ 2, 4
Friday, September 8
Chapter 3, Mathematical models 2.7/ 2, 4; 3.1/ 2, 3, 4
Review integration (Part 1): Integration formulas and substitution. Openstax Calculus 2 Sections 1.4 and 1.5
Friday, September 15
Chapter 3, Autonomous equations 3.1/ 2, 3, 4; 3.3/ 4, 8, 12
Review integration (Part 2) Partial fractions: Section 3.4
Friday, September 22
Chapter 4, Wronski determinant 4.2/ 2, 4, 6, 8; 4.3.1/ 2, 4, 6, 8
Review autonomous equations
Review integration (Part 3) Exponential & logarithm functions: Openstax Calc2, 1.6
Friday, September 29
Chapter 4, Homogeneous equations 4.3.1/ 6, 8; 4.3.2/ 2, 4; 4.4.1/ 2, 4
Review integration (last Part) Integration by Parts: Openstax Calc2, 3.1
Friday, October 6
Chapter 4, Multiple roots, conjugate complex roots 4.4.1/ 18; 4.4.2/ 2, 10; 4.4.3/ 2, 14; 4.5.1/ 2 Friday, October 13
Chapter 4, Nonhomogeneous equations 4.5.1/ 4, 8, 12; 4.5.2/ 4, 8, 40 Friday, October 20
Chapter 5, Free oscillations 5.1.1/ 2, 4; 5.1.2/ 2 Friday, October 27
Chapter 5, Forced oscillations 5.2.1/ 2; 6.2.1/ 2, 4; 6.2.2/ 2, 4; 6.2.3/ 2, 4 Friday, November 3
Chapter 6, Higher order equations 6.3/ 2, 4, 6, 10; 6.4.1/ 2, 4 Wednesday, November 8
Chapter 8, Laplace transforms 8.1/ 2, 4, 8, 12; 8.2/ 2, 4 Friday, November 17
Chapter 8, Laplace transforms 8.3.1/ 2, 4; 8.3.2/ 2, 4; 8.3.3/ 2, 4 no more quizzes --- Happy Thanksgiving!
the final exam is on Sunday, Dec 10, 6:45-9:15 p.m. in GS 119

Last modified:  by Markus Schmidmeier