 | Syllabus: Click here for details in a PDF file |
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Course: Math 111, Ordinary Differential Equations, MWF 11:00am RHN 105 |
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Texts: (1) Elementary Differential Equations & Boundary Value Problems (9th Ed) by Boyce and Diprima |
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Course Description: An introduction to the general theory and applications of differential equations. Linear systems, nonlinear systems, and stability. Prerequisite: Mathematics 32. (Students may not receive credit for both Mathematics 110 and 111.) |
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Office Hours: MWF 10:00-11:00am @ Adams 206 and by appointment |
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Grading: first midterm (20%), second midterm (20%), final exam(30%), class participation (5%), and hw & quiz (25%). The letter grade will be with an approximately 90(A)-80(B)-70(C)-60(D) scale. |
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Policy: NO make-up exams without doctor's excuse. Late Homework will be no credit.The HW problems need to be turned in. HW due every Wednesday in class. It includes all assignments given in theprevious week (Mon, Wed, Fri) |
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Tentative Schedule: updated regularly |
| Monday | Wednesday | Friday |
| Sept 3 | Sept 5 (Sept 4: Autumn Classes Begin)
Chapter 1:Introduction 1.1 Some Basic Mathematical Models; Direction Fields Pendulum Waves: http://www.youtube.com/watch?v=V87VXA6gPuE Viscosity: http://www.youtube.com/watch?v=k7ZZtxdtmeQ |
Sept 7
HW 1.1: 11, 15-20 1.2 Solutions of Some Differential Equations HW 1.2: 13,15 1.3 Classification of Differential Equations |
| Sept 10
1.3 Classification of Differential Equations HW: 1.3:2,3,13,22,23,28 |
Sept 12
Chapter 2 Frist Order Differential Equations 2.1 Linear Equations; Method of Integrating Factors HW 2.1: 6,10,15,18,30 | Sept 14
2.2 Separable Equations HW: 2,12(a,c),24,30 2.3 Modeling with First Order Equations
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| Sept 17 (Last day to add)
quiz: 1.1-1.3 2.3 Modeling with First Order Equations HW2.3: 4,9,14,31(a-b) 2.4 Differences Between Linear and Nonlinear Equations |
Sept 19
2.4 Differences Between Linear and Nonlinear Equations HW 2.4: 2,7,14,22,31(see the hint in 27) 2.5 Autonomous Equations and Population Dynamics
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Sept 21
2.5 Autonomous Equations and Population Dynamics HW 2.5: 3,7,9,16,22 |
| Sept 24
2.6 Exact Equations and Integrating Factors HW 2.6: 10,13,15,28 | Sept 26
2.6 Exact Equations and Integrating Factors quiz: 2.1-2.3 |
Sept 28
i 3.1 Homogeneous Equations with Constant Coefficients HW 3.1: 6,13,19,20
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| Oct 1
3.2 Fundamental Solutions of Linear Homogeneous Equations; The Wronskian HW 3.2: 8,11,13
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Oct 3
Review Section |
Oct 5
First Exam: 1.1 - 2.6
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| Oct 8
3.2 Fundamental Solutions of Linear Homogeneous Equations; The Wronskian HW 3.2: 23,25,31
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Oct 10 (Low grade reports due to Registrar)
3.3 Complex Roots of the Characteristic Equation HW 3.3: 2,3,4,15,16,20 |
Oct 12
3.4 Repeated Roots; Reduction of Order HW3.4:3,11,20,25 |
| Oct 15
3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients HW 3.5: 4,5,20
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Oct 17
3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients HW 3.5: 14,15 3.6 Variation of Parameters |
Oct 19
3.6 Variation of Parameters HW 3.6: 2,5,14,17 quiz: 3.1-3.4 |
| Oct 22 & 23 (Fall Break)
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Oct 24 (Note: Oct 25, last day to drop)
3.7 Mechanical and Electrical Vibrations http://phet.colorado.edu/sims/mass-spring-lab/mass-spring-lab_en.html http://www.youtube.com/watch?v=_XTj_ePLvFI&feature=grec_index HW: 3.7: 2,5,7,13
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Oct 26
3.8 Forced Vibrations http://en.wikipedia.org/wiki/Beat_(acoustics) HW 3.8: 5,7,10 |
| Oct 29
3.8 Forced Vibrations HW 3.8: 17, 19(a) use calculators to help you with plotting... |
Oct 31
quiz: 3.5-3.7 4.1 General Theory of nth Order Linear Equations |
Nov 2
4.1 General Theory of nth Order Linear Equations HW 4.1: 3, 7, 14, 26, 28
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| Nov 5
4.2 Homogeneous Equations with Constant Coefficients |
Nov 7
4.2 Homogeneous Equations with Constant Coefficients HW 4.2: 11,16,17,18,20 | Nov 9
Second Midterm: Ch3
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| Nov 12
4.3 The Method of Undetermined Coefficients HW 4.3: 2,11,14
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Nov 14
4.4 The Method of Variation of Parameters HW 4.4: 2,13
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Nov 16
6.1 Definition of the Laplace Transform HW 6.1: 11,15,23 |
| Nov 19
6.2 Solution of Initial Value Problems HW 6.2: 3,8,12,13,19,31
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Nov 21
6.3 Step Functions |
Nov 23 (Thanksgiving Recess)
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| Nov 26
HW 6.3: 12,21,24,25 |
Nov 28
6.4 Differential Equations with Discontinuous Forcing Functions HW 6.4:2,4,5 |
Nov 30
6.5 Impulse Functions HW 6.5: 8, 10, 16 |
| Dec 3
6.6 The Convolution Integral HW 6.6: 6,9,15 |
Dec 5
6.6 The Convolution Integral 7.1 Introduction HW 7.1:5,18,23
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Dec 7
7.3 Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors HW 7.3: 17,18 |
| Dec 10
Final Exam: 11:00am |
Dec 12
Guest Lecture 7.5 Homogeneous Linear Systems with Constant Coefficients
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Dec 14 (Last day of classes)
Guest Lecture 7.6, 7.7 |
| Dec 17 Final Exams Week |
Dec 19 Final Exams Week |
Dec 21 Final Exams Week |
| Dec 24
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Dec 26 (Dec 27, grades due toRegistrar)
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Dec 28
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