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Differential Equations
2250-004 home page
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Lecture notes should be posted by noon the day before class. I strongly recommend that you print and bring a copy of these notes to class, so we can go through the concepts and fill in the details together. Printing for Math classes is free in the Rushing Student Center, in the basement of LCB.
Week 1: August 22-26
aug22.pdf aug22.mw Introduction to course and Chapter 1.
aug23.pdf aug23.mw 1.2 Differential equations of the form y'(x)=f(x)
aug24.pdf aug24.mw 1.3 slope fields and solution graphs for first order differential equations
aug26.pdf aug24.mw 1.3-1.4 slope fields, unique and non-unique solutions to IVP's, illustrated with separable DE's.
Week 2: August 29-Sept 2
aug29.pdf aug29.mw 1.3-1.4 continued
aug30.pdf aug30.mw 1.4 separable differential equations.
week2.pdf week2.mw contains class notes for Monday thru Friday. This includes discussion from 1.3 (slope fields and existence/uniqueness theorem), 1.4 (separable differential equations and applications), 1.5 (linear differential equations and applications), EP 3.7 (supplemental section on RLC electrical circuits).
Week 3: Sept 6-Sept 9
week3.pdf week3.mw contains class notes for Tuesday thru Friday. This includes discussion from 2.1 (improved population models), 2.2 (autonomous differential equations: phase portraits, equilibrium point and stability), 2.3 (improved velocity-acceleration models).
Week 4: Sept 13-Sept 16
week4.pdf week4.mw contains class notes for Tuesday and Wednesday, sections 2.4-2.6 numerical methods for differential equations. On Monday we will use last week's notes.
numericalpseudocode.pdf Iteration steps for Euler, Improved Euler, Runge-Kutta
sept16.pdf Notes for Friday, including 3.1: introduction to systems of linear algebraic equations ... I'll bring copies to class.
Week 5: Sept 19-Sept 23
week5.pdf week5.mw contains class notes for section 3.2 Gaussian elimination for solving systems of linear algebraic equations; 3.3 Structure of solutions sets for systems of linear equations; 3.4 Matrix algebra; 3.5 Matrix inverses. On Monday we will use Friday's notes for 3.1
Week 6: Sept 26-28
week6.pdf week6.mw contains class notes for sections 3.5-3.6
Week 7: Oct 3-7
week7.pdf week7.mw contains class notes for sections 4.1-4.4
Week 8: Oct 17-21
week8.pdf week8.mw contains class notes for sections 4.2, 4.4, 5.1-5.2
Week 9: Oct 27-28
week9.pdf week9.mw contains class notes for sections 5.3-5.4
Week 10: Oct 31 - Nov 4
week10.pdf week10.mw contains class notes for 5.5, 5.6, 10.1
Week 11: Nov 7-11
We will use week 10 notes for Monday - Wednesday. Exam 2 is Friday.
Week 12: Nov 14-18
week12.pdf week12.mw contains class notes for 10.2-10.5, EP 7.6
Week 13: Nov 21-23
week13.pdf week13.mw contains class notes for 6.1-6.2
Week 14: Nov 28 - Dec 2
week14.pdf week14.mw contains class notes for 7.1-7.3
Week 15: Dec 5 - Dec 8
week15.pdf week15.mw contains class notes for 7.4. There will be separate course review notes for Wednesday.
Monday_Dec_5.pdf filled in class notes
Tuesday_Dec_6.pdf
Math_2250_review.pdf For Wednesday class
Wednesday_Dec_7.pdf filled in class notes