Course page for Math 3430-002/003, Fall 2016


Section 002 meets MWF from 2-2:50 pm in ECCR 150
Section 003 meets MWF from 3-3:50 pm in ECCR 131

Instructor: Professor David Grant.
Office hours M 4-5, W 11:30-1:00, F 10:30-12 in MATH 303.
Syllabus for section 002  
Syllabus for section 003  

Text: George F. Simmons, Differential Equations with Applications and Historical Notes, second edition (McGraw-Hill).

Daily Schedule, Readings, and Homeworks
Date Section and Topic Read before class Homework
August 22 Organization and introduction None HW 1 due Aug 26
August 24 Separation of variables Sect 1, 2 p 9. 1) c, e, i, o; 2) c, e, i, o, 3) a, c, e.
August 26 Trajectories Sect 3 HW 1 due today
August 29 Falling Bodies Sect 5 HW 2 due Sept 2
August 31 Homogeneous Equations Sect 7 p 10, 6, 8; p 16, 2, 5; p 33 1-4
September 2 Exact Equations Sect 8 HW 2 due today
September 7 Integrating factors Sect 9 HW 3: p 49, 1) a, c, e, g, i, 3, 6) a, c; p 53, 4-10, 22
September 9 More integrating factors Sect 9 HW 3 due today
September 12 Linear Differential Equations Sect 10 HW 4 due Sept 16
September 14 Reduction of order Sect 11 HW 4: p 59, 2) a, c, e, g, i, k; p 62 2) a, c, e, g, i, 4) a, c, 5) a, 6); p 65 1) a, c, e, g, 3) a
September 16 Applications Sect 12, 13 HW 4 due today
September 19 Intro to Second Order Linear Equations Sect 14 HW 5 due September 23
September 21 General Solution to the Homogeneous Equation Sect 15 HW 5: p71, 6; p75, 2; p86, 1 a), b), 3), 6) a; p91, 2, 4, 8 a), 10 a).
September 23 Review for Exam I Sects 1-3, 5, 7-15 HW 5 due today
September 26 Exam I Everything! Text Corrections due Friday
September 28 Finding a second solutions from a given one Sect 16 see above
September 30 2nd order linear PDE with constant coefficients Sects 17 Test corrections due today
October 3 Undetermined coefficients Sects 18 HW 6 due October 7
October 5 Variation of parameters Sect 19 HW #6: p 94, 2, 4, 6; p 97 1) a, c, e, g, i, 4, 5) a, c, 8; p 103, 1) a, c, e, g, i, 3.
October 7 Newton's laws in polar coords Sect 21 HW 6 due today
October 10 Kepler's laws Sect 21 HW 6 due today Oct 14
October 12 Higher Order linear equations Sect 22 HW 7: p 106, 1, 3) a, c, e; p 122, 3 (hard), p 127, 1, 3, 5, 7.
October 14 Operator Methods Sect 23 HW 7 due today
October 17 (Linear) systems of first order equations Sect 54, 55. HW 8 due Oct 21
October 19 More on linear systems Sect 55, 56 HW 8: p 135, 1, 2, 5, 7; p 420, 1; p 426, 4, 6, 7, 8.
October 21 More on linear systems, predator-prey Sections 56, 57. HW 8 due today
October 24 Power Series Sections 26 HW 9 due Friday
October 26 Series solutions to first order equations Sections 27. HW 9: p 433, 1 a), c), h), 5; p 172, 1, 5, 6, 7; p 175, 1.
October 28 Review for Exam 2 Sections 16-19, 21, 23, 54-56, 26, 27. HW 9 due today
October 31 Exam 2
November 2 Second order linear equations: ordinary points Section 28
November 4 continued Section 28 Test corrections due Monday
November 7 Second order linear equations: regular singular points Section 29 HW 10 due Friday
November 9 continued Section 30 HW 10: p 182, 1, 2, 6; p 191, 1 a), c), 3 a), b), 4 a), c), 5; p 199, 5.
November 11 Euler's Method Section 71, 72 HW 10 due today
November 14 Yeun's Method Section 73, 74 HW 11 due Friday
November 16 Runge-Kutta Method Section 75 HW 11: p 562, 1, 3; p 565, 1, 3; p 569, 1, 3; p 572, 1, 3. Just take h=.2 in all problems
November 18 Qualitative solutions to differential equations Section 24 HW 11 due today
November 28 Picard's Method of successive approximation Section 68 HW 12 due Friday
November 30 Picard's Theorem's Section 69 HW 12: p 542, 1, 3a; p 552, 1; p 555, 1
December 2 Existence and Uniqueness for Systems Sections 70 HW 12 due today
December 5 Laplace Transforms Section 48 HW 13 due Friday
December 7 Laplace Transforms of Differential Equations Section 50 HW 13: p 384, 1, 2, 4 b, c, 5 a-d; p 394, 1, 2, 3
December 9 Review All the sections! HW 13 due today