Math 2250-3
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Professor Korevaar
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Lectures are listed in reverse chronological order. Maple files (to be opened from Maple) end in the suffix .mws, whereas Adobe Portable Document Files end in .pdf.
Week 16
dec8.pdf Review sheet (and some interesting optional Laplace examples which we didn't do.)
dec6.pdf 10.2-10.3 More Laplace properties and examples
Week 15
dec3.pdf 10.2-10.3 Laplace transform properties, and applications to IVPs.
dec1.pdf 10.1-10.2 Introduction to Laplace transforms, with applications to linear differential equations.
nov29.pdf 7.4 springs, the Ziggy challenge.
Week 14
nov24.pdf 7.4 Spring systems
nov22.pdf 7.3 Solving first order linear systems of DE's, tank and glucose-insulin examples
2250nov22.mws Maple worksheet
Week 13
nov17.pdf 7.1-7.2 First order systems of differential equations
nov15.pdf 6.1 Eigenvalues and eigenvectors, and why we need them
Week 12
nov10.pdf review: review sheet, practice exam, experiment sheet.
nov8.pdf 5.6: forced harmonic oscillations
Week 11
nov5.pdf 5.5: Forced harmonic oscillators
2250nov5.mws Solving DE's in Maple, and pictures for section 5.5; Maple worksheet
nov3.pdf 5.5: Finding yp's by guessing, (undetermined coefficients), and variation of parameters.
nov1.pdf 5.4: Mechanical vibrations
Week 10
oct29.pdf 5.3-5.4: complex roots; unforced oscillating springs.
oct27.pdf 5.2-5.3: constant coefficient linear homogeneous DE's
oct25.pdf 5.2: solution spaces for homogeneous linear differential equations
Week 9
oct22.pdf 5.1: second order linear DE's
oct20.pdf 4.7: general vector spaces
oct18.pdf 4.5: row and column spaces
Week 8
oct15.pdf 4.4: bases and dimension
oct13.pdf 4.2: subspaces
oct11.pdf 4.1-4.3: vector spaces, linear independence, span.
Week 7
oct6.pdf 4.1-4.3: introduction to vector space concepts
Week 6
oct1.pdf 3.6: magic of determinants continued
sept29.pdf 3.6: magic of determinants
sept27.pdf 3.5: matrix inverses.
Week 5
sept24.pdf 3.4: matrix algebra.
sept22.pdf 3.3: reduced row echelon form, and what you can deduce from it, includes Maple pdf.
2250sept22.mws Maple worksheet
sept20.pdf 3.2-3.3: Gaussian elimation, row echelon and reduced row echelon form
Week 4
sept17.pdf 3.1-3.2: linear systems, equation and row operations
sept15.pdf 2.4-2.6: numerical methods for first order DE's
2250sept15.mws maple worksheet version....steal commands from here, while in Maple!!
sept13.pdf 2.1-2.3: examples of autonomous DE's: logistic with harvesting, linear drag velocity model.
2250sept13.mws Maple worksheet calculations
Week 3
sept10.pdf 2.1-2.2: Population models, autonomous DE's, equilibria, stability
sept8.pdf 2.1: Population models
Week 2
sept3.pdf 1.5: first order linear differential equations
sept1.pdf 1.4: two applications of separable DE's: Toricelli and Newton cooling
2250sept1.pdf 1.4: solving separable DE's, the algorithm and why it works.
2250sept1.mws Maple version
aug30.pdf 1.3: slope fields, existence and uniqueness for 1st order IVP.
Week 1
2250aug27.pdf 1.1-1.3: First order DE's, IVPs, solving by antidifferentiation, slope fields.
2250aug27.mws Maple worksheet version
aug25.pdf 1.1: Introduction to differential equations