 | Syllabus: Click here for details in a PDF file |
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Course: Math 111, Ordinary Differential Equations, MWF 9:00am RHN 12 |
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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 (Wed. Sept 28, 20%), second midterm (Fri. Nov. 11, 20%), final exam( Wed. Dec 14 9:00am, 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 |
| Aug 29 | Aug 31 (Aug 30: Autumn Classes Begin)
Chapter 1:Introduction 1.1 Some Basic Mathematical Models; Direction Fields HW 1.1: 11, 15-20 1.2 Solutions of Some Differential Equations |
Sept 2
1.2 Solutions of Some Differential Equations HW 1.2: 13 1.3 Classification of Differential EquationsHW 1.3: 13, 28 |
| Sept 5 (Labor Day, classes in session) Chapter 2 Frist Order Differential Equations 2.1 Linear Equations; Method of Integrating Factors HW 2.1: 6,10,15,18,30 |
Sept 7
2.2 Separable Equations HW 2.2: 4,11,25,33 | Sept 9
2.3 Modeling with First Order Equations HW2.3: 4,9,14,31 quiz: 1.1-1.3 |
| Sept 12 (Last day to add)
2.4 Differences Between Linear and Nonlinear Equations HW 2.4: 11,22 | Sept 14
2.5 Autonomous Equations and Population Dynamics HW 2.5: 3,7,9
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Sept 16
2.5 Autonomous Equations and Population Dynamics HW 2.5:16, 22 quiz: 2.1-2.3 |
| Sept 19
2.6 Exact Equations and Integrating Factors HW 2.6: 10,13,15,28
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Sept 21
3.1 Homogeneous Equations with Constant Coefficients HW 3.1: 6,13,19,20 |
Sept 23
3.2 Fundamental Solutions of Linear Homogeneous Equations; The Wronskian HW 3.2: 8,11,13
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| Spet 26
Review Section
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Sept 28
First Exam: 1.1 - 2.6 |
Sept 30
3.2 Fundamental Solutions of Linear Homogeneous Equations; The Wronskian HW 3.2: 23,25,31
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| Oct 3
3.3 Complex Roots of the Characteristic Equation HW 3.3: 2,3,4,15,16,20
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Oct 5 (Low grade reports due to Registrar)
3.4 Repeated Roots; Reduction of Order HW3.4:3,11,20,25 |
Oct 7
3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients HW 3.5: 4,15 |
| Oct 10
3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients HW 3.5: 20 (solve it by hand)3.6 Variation of Parameters HW 3.6: 2,5,14,17
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Oct 12
3.7 Mechanical and Electrical Vibrations HW 3.7: 5,7 quiz: 3.1-3.4 |
Oct 14
3.7 Mechanical and Electrical Vibrations HW 3.7: 2,13 http://phet.colorado.edu/sims/mass-spring-lab/mass-spring-lab_en.html 3.8 Forced Vibrations http://www.youtube.com/watch?v=_XTj_ePLvFI&feature=grec_index |
| Oct 17 & 18 (Fall Break)
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Oct 19 (Note: Oct 20, last day to drop)
3.8 Forced Vibrations HW 3.8: 5,7,10
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Oct 21
3.8 Forced Vibrations HW 3.8: 17, 19(a) use calculators to help you with plotting... http://en.wikipedia.org/wiki/Beat_(acoustics) quiz: 3.5-3.7 |
| Oct 24
4.1 General Theory of nth Order Linear Equations HW 4.1: 3, 7, 14 |
Oct 26
4.2 Homogeneous Equations with Constant Coefficients HW 4.2: 11,15,18 4.3 The Method of Undetermined Coefficients (Office hour today rescheduled to 9am Thursday due to New Hire Safety Orientation) |
Oct 28
4.3 The Method of Undetermined Coefficients HW 4.3: 2,11,14
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| Oct 31
4.4 The Method of Variation of Parameters HW 4.4: 2,13 quiz: 4.1-4.3 |
Nov 2
6.1 Definition of the Laplace Transform HW 6.1: 11,15,23 | Nov 4
6.2 Solution of Initial Value Problems HW 6.2: 3,8,12,13
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| Nov 7
6.2 Solution of Initial Value Problems HW 6.2: 19,31
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Nov 9
6.3 Step Functions HW 6.3: 12,21,24,25 Review Section: Nov 10, 7:30pm-8:30pm, Adams Hall, Davidson
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Nov 11
6.4 Differential Equations with Discontinuous Forcing Functions HW 6.4: 2,4,5 Extra office hour: Nov 13, 10:00am-12:00pm |
| Nov 14
6.4 Differential Equations with Discontinuous Forcing Functions
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Nov 16
Second Midterm: Ch3 Ch4 6.1-6.2 |
Nov 18
6.5 Impulse Functions HW 6.5: 8, 10, 16
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| Nov 21
6.5 Impulse Functions 6.6 The Convolution Integral HW 6.6: 6,9,15,29(optinal) |
Nov 23
7.1 Introduction HW 7.1: 3,5,7,18 |
Nov 25 (Nov 24,25: Thanksgiving Recess)
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| Nov 28
quiz: 6.3-6.4 7.2 Review of Matrices HW 7.2: 2(a,c),4(b,c)
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Nov 30
Review of Matrices HW 7.2: 11,13,21(c,d),22
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Dec 2
7.3 Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors HW 7.3: 4,8,13
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| Dec 5
7.3 Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors HW 7.3:18,23 7.4 Basic Theory of Systems of First Order Linear Equations
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Dec 7
7.4 Basic Theory of Systems of First Order Linear Equations 7.5 Homogeneous Linear Systems with Constant Coefficients?
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Dec 9 (Last day of classes)
Review |
| Dec 12 Final Exams Week |
Dec 14 Final Exams Week Final Exam: 9:00am |
Dec 16 Final Exams Week |
| Dec 19
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Dec 21 (Dec 22, grades due toRegistrar)
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Dec 23
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