Calendar for Math 267 §B2: Elementary Differential Equations and Laplace Transforms

Week [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15]

DISCLAIMER: The future is subject to change!
MONTH
WEEK
DAY Topic, Event Section;
Practice
Problems
Assigned
Problems
January
Chapter 2: First Order Equations
WEEK 1 10-14 January
Mon 10 Course Introduction;
Differential Equations and Solutions
Chapter 1
§1.3 #3,5,7,13,21,27 §2.1 #8,12,16,18
§2.1 #14,20
Tue 11 Solutions to Separable Equations §2.2 #3,9,13,17,27,39 §2.2 #8,16
Thu 13 Models of Motion §2.3 #3,6,11,12 §2.3 #8,14
Fri 16 Linear Equations
Quiz 1 (Pencil & Paper) Thru §2.2
§2.4 #3,9,13,15,21,23,29,33,39 §2.4 #10,20,26,32
WEEK 2 17-21 January
Mon 17 Martin Luther King Day Holiday
No class meeting
Tue 18 Linear Equations (continued)
Thu 20 Mixing Problems
First Project Assignment: The Burning Lens
Directions: [PostScript] [Acrobat]
General Project Guidelines
Team Assignments
§2.5 #1,2,3(a),9-11 §2.5 #4,8,14
Fri 21 Exact Differential Equations
Quiz 2 Thru §2.4
§2.6 #5,6,11,13,15,17,23,33,35 §2.6 #10,24,38
WEEK 3 24-28 January
Mon 24 Existence and Uniqueness of Solutions
Dependence of Solutions on Initial Conditions
§2.7 #5,6,9,27
§2.8 #1,17
§2.7 #28
§2.8 #16
Tue 25 Autonomous Equations and Stability §2.9 #3,5,7,9,17,19,23,25,27,31 §2.9 #4,20,26,28
Chapter 4: Second Order Equations
Thu 27 Second Order Equations: Examples
Solution to Problem 1 on
Burning Lens Project Due.
§4.1 #3,7,11,14,15 §4.1 #2,6,10,18
Fri 28 Second Order Equations and Systems
Linear, Homogeneous Equations with Constant Coefficients
Quiz 3 Thru §2.6
§4.2 #3,5,7,
§4.3 #5,9,11,15,17,19-21,23,29,31,33
§4.2 #6,18
§4.3 #4,10,16,22,26
WEEK 4 31 January - 4 February
Mon 31 Harmonic Motion §4.4 #7,9,11,15,21,25 §4.4 #8,18
February
Tue 1
Thu 3 Inhomogeneous Equations; Method
of Undetermined Coefficients
Burning Lens Project Report Due.
§4.5 #1-3,5,7,8,15-17,19,23,27,29,39,41 §4.5 #4,6,20,26,44
Fri 4 Undetermined Coefficients, continued
Quiz 4 Thru §4.3
WEEK 5 7 - 11 February
Mon 7
Tue 8 Variation of Parameters §4.6 #3,5,7,13 §4.6 #8,14
Thu 10 Forced Harmonic Motion §4.7 #1-3,13,15,17,31,43 §4.7 #10,14,18,36
Chapter 5: The Laplace Transform
Fri 11 Definition of the Laplace Transform
Quiz 5 Thru §4.5
§5.1 #1-9 odd,13 §5.1 #8,14
WEEK 6 14 - 18 February
Mon 14 Basic Properties of the Laplace Transform
The Inverse Laplace Transform
§5.2 #1-17 odd,21,23,27,33,37,41
§5.3 #1,5,9,13,17,21,25,29,33
§5.2 #18,24,36,40
§5.3 #8,18,28
Tue 15 Solving Differential Equations
with the Laplace Transform
§5.4 #3,7,11,13,23,31,35,37 §5.4 #10,16,24,36
Thu 17
Fri 18 Discontinuous Forcing Terms
Quiz 6 Thru §5.2
§5.5 #3,13,15,17,25,27,31 §5.5 #8,18,28,30
WEEK 7 21 - 25 February
Mon 21 The Delta Function
Review of Chapter 2.
§5.6 #3,7,9 §5.6 #4,8
Chapter 7: Matrix Algebra
Tue 22 Vectors and Matrices
Review of Chapter 4.
§7.1 #1,3,7,17,27,31,35,39,49,53 §7.1 #16,30,54
Thu 24 Review of Chapter 5.
Fri 25 Midterm Exam Chapters 2, 4 and 5.
My 1999 Midterm Exam: [PostScript] [Acrobat]
(It did not cover Laplace transforms.)
2005 Exam, sample solutions: [PostScript] [Acrobat]
WEEK 8 28 February - 4 March
Mon 28 Geometry of Linear Systems
Solving Linear Systems
§7.2 #5,7
§7.3 #3,7,11,15,17
§7.2 #6,8
§7.3 #16
March
Tue 1 Properties of Solution Sets
Subspaces
§7.4 #3,5,9,11,15,19 §7.4 #6,12,20
Chapter 8: An Introduction to Systems
Thu 3 Definitions, Examples
Geometric Interpretation of Solutions
Second Project Assignment: Sawtooth-Driven Oscillator
Directions: [PostScript] [Acrobat]
General Project Guidelines
Team Assignments (Revised 8 March)
§8.1 #5,7,11,13,19
§8.2 #5,11,13,29
§8.1 #6,12
§8.2 #4,10
Fri 4 Qualitative Analysis

Quiz 7 Thru §7.3
§8.3 #3,5,9,11 §8.3 #2,10
WEEK 9 7 - 11 March
Mon 7 Linear Systems §8.4 #5,11,17 §8.4 #10,12,16,18
Chapter 9: Linear Systems with Constant Coefficients
Tue 8 Determinants
Constant-coefficient Linear Systems: Technique
§7.6 #7,9,15
§9.1 #1,5,9,13,17,21,25
§7.6 #8
§9.1 #4,10,18
Thu 10
Solution to Problems 1-2 on
Sawtooth-Driven Oscillator Due.
Fri 11 Quiz 8 Thru Chapter 8.
SPRING RECESS
14 - 18 MARCH
WEEK 10 22 - 26 March
Mon 21 Planar Systems §9.2 #1,5,7,11,13,19,21,27,33,41,47 §9.2 #6,12,24,30,38,44
Tue 22 Phase Plane Portraits §9.3 #1,5,9-12,17,21,25,29,33 §9.3 #14,16,20,28,34
Thu 24 Higher Dimensional Systems
The Exponential of a Matrix
Sawtooth-Driven Oscillator Report Due.
§9.4 #3,7,13,21,27
§9.5 #1,6,7,13,25,33,35
§9.4 #22,28
§9.5 #16,20,26
Fri 25 Qualitative Analysis of Linear Systems
Quiz 9 Thru §9.2
§9.6 #3,7,11 §9.6 #6,10
WEEK 11 28 March - 1 April
Mon 28 Higher-Order Linear Equations §9.7 #11,15,19,23,27,31 §9.7 #18,24,30
Tue 29 Inhomogeneous Linear Systems §9.8 #3,7,11,15,19,23,25 §9.8 #2,6,14,20,24
Chapter 10: Nonlinear Systems
Thu 31 Linearization of a Nonlinear System §10.1 #3,7,19 §10.1 #8,18
April
Fri 1 Long-Term Behavior of Solutions
Quiz 10 Thru §9.7
§10.2 #3,7,11,15 §10.2 #6,12
WEEK 12 4 - 8 April
Mon 4 Nullclines and Invariant Sets §10.3 #1,5,9,13,17 §10.3 #2,6,10
Tue 5 Long-Term Behavior in Planar Systems §10.4 #3,5,7,11(a)-(c),23,25 §10.4 #4,12
Thu 7 Conserved Quantities §10.5 #3,7,9,13,17,19,21,23,25 §10.5 #2,12(i),22
Fri 8 Nonlinear Mechanics
Quiz 11 thru §10.3
§10.6 #3,5,7,11,13,15,17 §10.6 #4,12,18
WEEK 13 11 - 15 April
Mon 11 Lyapunov's Method §10.7 #3,7,11,15,17 §10.7 #20,26
Tue 12 Predator-Prey Systems §10.8 #1,5,6
Thu 14 Third Project Assignment:
Oscillations of Linear Molecules

Directions: Project 9.10, pp. 539-544, Problems 1-8.
General Project Guidelines
Team Assignments
Chapter 11: Series Solutions to Differential Equations
Fri 15 Review of Power Series
Quiz 12 Thru §10.6
§11.1 #3,7,11,15,17,21,25,27,29 §11.1 #22
WEEK 14 18 - 22 April
TV Turnoff Week
Break Free of TV
Mon 18 Series solutions near ordinary points
Legendre's Equation
§11.2 #1,5,9,13,17,23,25
§11.3 #5,7
§11.2 #16
§11.3 #6
Tue 19
Thu 21
Fri 22 Quiz 13 Thru §11.2
WEEK 15 25 - 29 April
Mon 25 REVIEW of Chapters 7-8
Tue 26 REVIEW of Chapter 9
Thu 28 REVIEW of Chapter 10
Oscillations of Linear Molecules Report Due.
Fri 29 REVIEW of Chapter 11
Quiz 14 Thru §11.3
May
FINAL
EXAM
WEEK
2 - 6 May
Wed 4 FINAL EXAM 7-9PM, 1 Carver.
Final Exam given Fall Semester, 1999:
[PostScript] [Acrobat]


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Document last modified Mon Apr 25 2005