DE and Linear Algebra Lecture Slides S2012

Last Modified: January 10, 2012, 06:00 MST.    Today: October 22, 2018, 13:19 MDT.
This page has many broken links, identified by file date 1969. I hope to repair the problems in the first week of classes.

Chapter 1: First Order DE

Three Examples. One slide. (11.8 K, pdf, 28 Aug 2006)
Fundamental Theorem of Calculus, Method of quadrature, Decay law derivation, Background formulas. Six slides. (0.0 K, pdf, 31 Dec 1969)
Three Examples, Exercises 1.2-1,2,5,8,10 solved by Tyson Black, Jennifer Lahti, GBG, 11 slides. (292.0 K, pdf, 23 Jul 2009)
Log and exponential Background. Direction fields. Decay law derivation. Problem 1.2-2. Direction field examples. Four slides. (0.0 K, pdf, 31 Dec 1969)
Direction fields. Manuscript, 11 pages. (540.9 K, pdf, 05 Jan 2010)
Picard-Lindelof and Peano Existence theory. Manuscript, 9 pages. (304.0 K, pdf, 11 Dec 2011)
Peano and Picard Theory. Manuscript, 3 pages. (22.5 K, pdf, 17 Jan 2007)
Picard-Lindelof and Peano Existence Example, similar to 1.3-14. One slide. (40.5 K, pdf, 20 Jan 2006)
Exercises 1.4 Page 40, 4 slides. (465.0 K, pdf, 26 Aug 2003)
Separable Equations 2007. Manuscript, 9 pages. (171.3 K, pdf, 31 Aug 2009)
Separable Equations 2008. Slides. (148.9 K, pdf, 03 Mar 2012)
Recipes for linear 1st, 2nd order and 2x2 Systems of DE. Two slides. (0.0 K, pdf, 31 Dec 1969)
Exercises 1.5, 9 slides: 1.5-3,5,11,33. Linear DE method. Brine mixing. (375.0 K, pdf, 29 Jan 2006)
Linear DE part I (Integrating Factor Method). Manuscript, 8 pages. (152.7 K, pdf, 07 Aug 2009)
Linear DE part II (Variation of Parameters, Undetermined Coefficients). Manuscript, 7 pages. (134.1 K, pdf, 07 Aug 2009)
How to do a maple answer check for y'=y+2x. (0.2 K, txt, 27 Jan 2005)
Separable Equations slides, separability test, tests I and II. Manuscript, 6 pages. (0.0 K, pdf, 31 Dec 1969)
Linear first order, integrating factor method, 2 slides. (24.6 K, pdf, 23 Jan 2007)

Chapter 2: First Order Applications, Numerical DE

Verhulst logistic equation. Manuscript, 5 pages. (115.5 K, pdf, 02 Oct 2009)
Autonomous DE slides 2008 (0.0 K, pdf, 31 Dec 1969)
Phase Line and Bifurcation Diagrams. Includes Stability, Funnel, Spout, and bifurcation. Manuscript, 6 pages. (227.4 K, pdf, 07 Sep 2009)
Newton models, projectile slides 2008 (0.0 K, pdf, 31 Dec 1969)
Earth to the moon, Jules Verne slides 2008 (0.0 K, pdf, 31 Dec 1969)
Linear equation applications, brine tanks, home heating. Manuscript, 12 pages. (374.2 K, pdf, 28 Jul 2009)
Kinetics, falling bodies, projectiles. Manuscript, 16 pages. (0.0 K, pdf, 31 Dec 1969)
Science and Eng Applications, Torricelli law. Manuscript, 15 pages. (0.0 K, pdf, 31 Dec 1969)
Exercises ch2, 2.1-6,16,38, 2.2-4,10, 2.3-9,27+Escape velocity, 8 slides. (357.6 K, pdf, 29 Jan 2006)
Numerical Methods ch2, Exercises 2.4-5,2.5-5,2.6-5 plus Rect, Trap, Simp rules, 5 slides. (219.5 K, pdf, 29 Jan 2006)
Problem notes for 2.3-10, 2.3-20, 2.3-22 2.3. (0.0 K, txt, 31 Dec 1969)
ch2 DEplot maple example 1 for exercises 2.2, 2.3. (0.2 K, txt, 04 Feb 2005)
ch2 DEplot maple example 2 for exercises 2.2, 2.3. (0.2 K, txt, 04 Feb 2005)
Slides on Numerical DE 2008 (0.0 K, pdf, 31 Dec 1969)
Slides on Rect,Trap,Simp,Euler,Heun,RK4. Numerical DE, ch 2. (0.0 K, pdf, 31 Dec 1969)
Report details on 2.4,2.5,2.6 prob 6 (0.0 K, pdf, 31 Dec 1969)
Report details on 2.4,2.5,2.6 prob 12. (0.0 K, pdf, 31 Dec 1969)
Numerical Solution of First Order D. Manuscript, 19 pages. (203.0 K, pdf, 04 Sep 2004)
Sample symbolic solution report for 2.4-3. One slide. (22.6 K, pdf, 19 Sep 2006)
Sample Report for 2.4-3, 3 slides. Slide 1 is symbolic sol. (175.9 K, pdf, 02 Jan 2010)
Numerical DE coding hints. Numerical DE, ch2. (0.0 K, txt, 31 Dec 1969)
Sample maple code for Euler, Heun, RK4. Numerical DE, ch2. (1.9 K, mws, 21 Aug 2010)
Sample maple code for exact/error reporting. Numerical DE, ch2. (2.1 K, mws, 21 Aug 2010)
Maple L3 snips worksheet. Numerical DE. ch2. (0.0 K, mws, 31 Dec 1969)
Maple L4 snips worksheet. Numerical DE, ch2. (0.0 K, mws, 31 Dec 1969)

Chapter 3: Linear Algebraic Equations, Matrices, Determinants

Linear equations, reduced echelon, three rules. All slides. (45.8 K, pdf, 22 Sep 2006)
Three rules, frame sequence, maple syntax. All slides. (35.8 K, pdf, 25 Jan 2007)
Elementary matrices, vector spaces. All slides. (0.0 K, pdf, 31 Dec 1969)
Snapshot sequence and general solution, 3x3 system. All slides. (90.0 K, pdf, 28 Sep 2006)
Linear algebraic equations, no matrices, DRAFT manuscript F2007 (0.0 K, pdf, 31 Dec 1969)
Linear algebraic equations, manuscript, no matrices (0.0 K, pdf, 31 Dec 1969)
Linear algebraic equations, no matrices, DRAFT manuscript S2007 (0.0 K, pdf, 31 Dec 1969)
The three possibilities with symbol k, slides S2007. (0.0 K, pdf, 31 Dec 1969)
The three possibilities with symbol k, Beamer slides F2007. (0.0 K, pdf, 31 Dec 1969)
Vectors and Matrices. Manuscript. (426.4 K, pdf, 07 Feb 2012)
Matrix equations. Manuscript. (292.1 K, pdf, 07 Feb 2012)
Exercises Page 149, ch3, 3.1 to 3.6, 6 slides (869.6 K, pdf, 25 Sep 2003)
Linear equation, frame sequences, general solution slides F2007 (0.0 K, pdf, 31 Dec 1969)
The three possibilities with symbol k F2007. (0.0 K, pdf, 31 Dec 1969)
Elementary matrix slides F2007 (0.0 K, pdf, 31 Dec 1969)
Vector space, subspace, independence slides F2007 (0.0 K, pdf, 31 Dec 1969)
Undetermined coefficients, cafe door, pet door, phase-amplitude, resonance slides F2007 (0.0 K, pdf, 31 Dec 1969)
Pivot theorem, column space, row space, equivalence of bases slides F2007 (0.0 K, pdf, 31 Dec 1969)
Determinants and Cramer's Rule. Manuscript. (185.8 K, pdf, 28 Feb 2008)

Chapter 4: Vector Space, Subspace, Independence, Basis

Vector space, Independence, Basis, Dimension, Rank. Manuscript. (268.7 K, pdf, 22 Mar 2010)
Pivot, Basis, Dimension, Rank, Pivot Method, Row and Column spaces, Equivalence of bases. All slides. (0.0 K, pdf, 31 Dec 1969)
Vector spaces, Independence tests. All slides. (0.0 K, pdf, 31 Dec 1969)
Exercises Page 237, ch4, 4.1 to 4.4, some 4.9, all slides (463.2 K, pdf, 25 Sep 2003)

Chapter 5: Second and Higher Order Linear DE and Applications

Basic Reference: First order constant coefficient recipe, structure of solutions, superposition, 3 slides (25.7 K, pdf, 24 Oct 2006)
Atoms and constant-coefficient DE, 5 slides (0.0 K, pdf, 31 Dec 1969)
How to solve linear nth order constant coefficient linear homogeneous DE by constructing an atom list from the characteristic equation, 2 slides (0.0 K, pdf, 31 Dec 1969)
Basic Reference: First order constant coefficient recipe + theory + variation of parameters and undetermined coefficients, manuscript, 11 pages. (134.5 K, pdf, 29 Mar 2005)
Constant coefficient recipe, ch5, manuscript, 2 pages. (57.8 K, pdf, 31 Dec 2003)
Second order constant coefficient recipe + theory, manuscript, 7 pages. (100.2 K, pdf, 29 Mar 2005)
Second order variation of parameters, manuscript, 7 pages. (0.0 K, pdf, 31 Dec 1969)
Second order undetermined coefficients manuscript, 8 pages. (0.0 K, pdf, 31 Dec 1969)
Higher order linear differential equations. Higher order recipe. Higher order undetermined coefficients. Manuscript, 9 pages. (0.0 K, pdf, 31 Dec 1969)
History of undetermined coefficients, Kummer's method, Table method (6.8 K, txt, 08 Nov 2004)
Ch5 exercises 5.1 to 5.6, 16 slides (0.0 K, pdf, 31 Dec 1969)
Ignore the 5.5 examples which refer to Kummer's method or Cauchy's kernel. When edited out this message will vanish.
Undetermined coeff illustration, ch5.5, 3 slides (0.0 K, pdf, 31 Dec 1969)
Undetermined coefficient example, ch5.5, 3 slides (0.0 K, pdf, 31 Dec 1969)
This is a basic undetermined coffficient example. The textbook references are to an older edition.
Problem notes 5.4: 34.> (0.0 K, txt, 31 Dec 1969)
Problem notes 5.5: 48, 52, 60. (0.0 K, txt, 31 Dec 1969)
Undetermined coefficients, Fixup rules I,II,II, 4 slides (0.0 K, pdf, 31 Dec 1969)
Atoms, constant-coefficient DE, examples, 8 slides (0.0 K, pdf, 31 Dec 1969)
Unforced mechanical oscillations manuscript, 8 pages. (0.0 K, pdf, 31 Dec 1969)
Forced mechanical oscillations manuscript, 8 pages. (0.0 K, pdf, 31 Dec 1969)
Resonance manuscript, 7 pages. (0.0 K, pdf, 31 Dec 1969)
Undetermined coefficient example, Phase-amplitude conversion, Damping, Resonance, Cafe door, Pet door, 12 slides (0.0 K, pdf, 31 Dec 1969)

Chapter 6: Eigenanalysis, Diagonalization, Fourier Model

Fourier's Model slides (0.0 K, pdf, 31 Dec 1969)
Eigenanalysis, ch6, 6.1,6.2, 6 slides (0.0 K, pdf, 31 Dec 1969)
Eigenanalysis-I manuscript, 19 pages. (202.6 K, pdf, 11 Apr 2009)
Eigenanalysis-II manuscript, 31 pages. (165.8 K, pdf, 11 Apr 2009)

Chapter 7: Systems of DE and Applications

Solving triangular and non-triangular systems, 4 slides (0.0 K, pdf, 31 Dec 1969)
Systems of DE Ch7, 7.1,7.2,7.3 solved problems, 4 slides (0.0 K, pdf, 31 Dec 1969)
Recipes for 1st, 2nd order and 2x2 Systems of DE (0.0 K, pdf, 31 Dec 1969)
DE systems manuscript, 69 pages. (0.0 K, pdf, 31 Dec 1969)

Chapter 10: Laplace Theory

Ch10 Laplace slides, 10.1 to 10.4, 9 pages. (1068.7 K, pdf, 28 Nov 2010)
Laplace theory manuscript, 34 pages. (0.0 K, pdf, 31 Dec 1969)
Heaviside's method manuscript, 4 pages. (84.4 K, pdf, 24 Mar 2004)