Difference between revisions of "Course schedule"

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'''Not included on this schedule:''' There will be a weekly worksheet handed in during each tutorial session, starting during the second week of class. Pre-lecture WeBWorK assignments will be due before each lecture and a post-lecture assignment will be due each week.  
 
'''Not included on this schedule:''' There will be a weekly worksheet handed in during each tutorial session, starting during the second week of class. Pre-lecture WeBWorK assignments will be due before each lecture and a post-lecture assignment will be due each week.  
  
−
'''Regarding textbook references below:'''  These references are to Boyce and DiPrima (from last year). I will start add corresponding refs to the new textbook (Diffy Qs).
+
'''Regarding textbook references below:'''  These references are to Boyce and DiPrima (an unofficial hardcopy textbook) and Diffy Qs (the official online textbook).
  
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{|style="border-collapse: collapse;" class="withlines"
 
−
!style="width:25px;"|Week
 
−
!style="width:60px;"|
 
−
!style="width:80px;"|Chapters/sections (Diffy Qs)
 
−
!style="width:80px;"|Chapters/sections (Boyce and DiPrima)
 
  
−
!style="width:240px;"|Topics
+
{|class="calendar plainlinks"
 +
!width=25px|Week
 +
!width=40px|
 +
!width=60px|
 +
!width=60px colspan=2|Chapters/sections
 +
!width=240px|Topics
 
|-
 
|-
−
|style="border-top: 1px solid #999;"|1: {{LectureDate|1|2}}
+
!
−
|style="border-top: 1px solid #999;"|/ {{LectureDate|1|4}}
+
!
−
|style="border-top: 1px solid #999;"|0.2
+
!
−
|style="border-top: 1px solid #999;"|1.1
+
!width=20px|(Diffy Qs)
 +
!width=20px|(B & D)
 +
!
  
−
|style="border-top: 1px solid #999;"|Intro to differential equation models
+
|- class="NewWeek OddWeek"
−
|-
+
|1
 +
|{{LectureDate|1|2}}
 +
|/ {{LectureDate|1|4}}
 +
|0.2
 +
|1.1
 +
|Intro to differential equation models
 +
 
 +
|- class="OddWeek"
 
|
 
|
 
|
 
|
−
|0.2
+
|
 +
|0.2, 1.1
 
|1.2
 
|1.2
 
|Introduction to solutions of differential equations
 
|Introduction to solutions of differential equations
−
|-
+
 
 +
|- class="OddWeek"
 +
|
 
|
 
|
 
|
 
|
Line 31: Line 43:
 
|1.3
 
|1.3
 
|Classification of DEs.
 
|Classification of DEs.
−
|-
+
 
 +
|- class="OddWeek"
 +
|
 
|
 
|
 
|
 
|
Line 37: Line 51:
 
|2.1  
 
|2.1  
 
|First order linear equations - Method of Integrating Factors
 
|First order linear equations - Method of Integrating Factors
−
|-
+
 
−
|
+
|- class="NewWeek EvenWeek"
−
|
+
|2
 +
|{{LectureDate|2|2}}
 +
|/ {{LectureDate|2|4}}
 
|1.3
 
|1.3
 
|2.2  
 
|2.2  
 
|First order separable equations
 
|First order separable equations
−
|-
+
 
−
|2: {{LectureDate|2|2}}
+
|- class="EvenWeek"
−
|/ {{LectureDate|2|4}}
+
|
 +
|
 +
|
 
|  --
 
|  --
 
|2.3  
 
|2.3  
 
|Modeling with First Order DEs
 
|Modeling with First Order DEs
−
|-
+
 
 +
|- class="EvenWeek"
 
|
 
|
 
|
 
|
−
|1.2.2
+
|
 +
|1.2
 
|2.4  
 
|2.4  
 
|Linear and nonlinear equations - existence and uniqueness
 
|Linear and nonlinear equations - existence and uniqueness
−
|-|-
+
 
 +
|- class="EvenWeek"
 
|
 
|
 
|
 
|
−
|1.6
 
−
|2.5 (skip for now)
 
−
|Autonomous equations, the phase line and applications
 
−
|-
 
 
|
 
|
−
|
+
|2.1, 2.2
−
|2.1-2.2
+
 
|3.1
 
|3.1
 
|Second order linear equations - Homogeneous equations with constant coefficients (real roots of the characteristic equation)
 
|Second order linear equations - Homogeneous equations with constant coefficients (real roots of the characteristic equation)
−
|-
+
 
 +
|- class="EvenWeek"
 +
|
 
|
 
|
 
|
 
|
Line 73: Line 91:
 
|3.2
 
|3.2
 
|Second order linear equations - The Wronskian
 
|Second order linear equations - The Wronskian
−
|-
+
 
−
|3: {{LectureDate|3|2}}
+
|- class="NewWeek OddWeek"
 +
|3
 +
|{{LectureDate|3|2}}
 
|/ {{LectureDate|3|4}}
 
|/ {{LectureDate|3|4}}
 
|2.2
 
|2.2
 
|3.3
 
|3.3
 
|Second order linear equations - Complex root of the characteristic equation
 
|Second order linear equations - Complex root of the characteristic equation
−
|-
+
 
 +
|- class="OddWeek"
 +
|
 
|
 
|
 
|
 
|
Line 85: Line 107:
 
|3.4
 
|3.4
 
|Repeated roots; Reduction of order
 
|Repeated roots; Reduction of order
−
|-
+
 
 +
|- class="OddWeek"
 +
|
 
|
 
|
 
|
 
|
Line 91: Line 115:
 
|3.5
 
|3.5
 
|Nonhomogeneous equations; method of undetermined coefficients
 
|Nonhomogeneous equations; method of undetermined coefficients
−
|-
+
 
−
|4: {{LectureDate|4|2}}
+
|- class="NewWeek EvenWeek"
 +
|4
 +
|{{LectureDate|4|2}}
 
|/ {{LectureDate|4|4}}
 
|/ {{LectureDate|4|4}}
−
| --
+
|2.4
−
|3.6 (skip)
+
−
|Variations of parameters
+
−
|-
+
−
|
+
−
|
+
−
|  --
+
 
|3.7
 
|3.7
 
|Mechanical and electrical vibrations
 
|Mechanical and electrical vibrations
−
|-
+
 
 +
|- class="EvenWeek"
 
|
 
|
 
|
 
|
−
| --
+
|
 +
|2.6
 
|3.8
 
|3.8
 
|Forced vibrations
 
|Forced vibrations
−
|-
+
 
−
|5: {{LectureDate|5|2}}
+
|- class="NewWeek OddWeek"
 +
|5
 +
|{{LectureDate|5|2}}
 
|
 
|
−
|  --
 
−
|Catch-up/Review
 
 
|
 
|
−
|-
 
−
|    {{LectureDate|5|4}}
 
 
|
 
|
−
|  --
 
 
|<span style="color: red;">'''Midterm 1'''</span>
 
|<span style="color: red;">'''Midterm 1'''</span>
 +
 +
|- class="OddWeek"
 
|
 
|
−
|-
+
|{{LectureDate|5|4}}
−
|6: {{LectureDate|6|2}}
+
|
−
|/ {{LectureDate|6|4}}
+
|3.1
−
| --
+
 
|7.1
 
|7.1
 
|Introduction to systems of first order linear equations
 
|Introduction to systems of first order linear equations
−
|-
+
 
 +
|- class="OddWeek"
 
|
 
|
 
|
 
|
−
| --
+
|
 +
|3.2
 
|7.2
 
|7.2
 
|Review of matrices
 
|Review of matrices
−
|-
+
 
 +
|- class="OddWeek"
 
|
 
|
 
|
 
|
−
| --
+
|
 +
|3.2
 
|7.3
 
|7.3
 
|Systems of linear equations;linear independence, eigenvalues, eigenvectors
 
|Systems of linear equations;linear independence, eigenvalues, eigenvectors
−
|-
+
 
−
|
+
|- class="NewWeek EvenWeek"
−
|
+
|6
−
| --
+
|{{LectureDate|6|2}}
 +
|/  {{LectureDate|6|4}}
 +
|3.3
 
|7.4
 
|7.4
 
|Basic theory of systems of first order linear equations
 
|Basic theory of systems of first order linear equations
−
|-
+
 
 +
|- class="EvenWeek"
 +
|
 
|
 
|
 
|
 
|
−
| --
+
|3.4
 
|7.5
 
|7.5
 
|Homogeneous linear systems with constant coefficients
 
|Homogeneous linear systems with constant coefficients
−
|-
+
 
 +
|- class="EvenWeek"
 
|
 
|
 
|
 
|
−
| --
+
|
 +
|3.4
 
|7.6
 
|7.6
 
|Complex eigenvalues
 
|Complex eigenvalues
−
|-
+
 
−
|&nbsp;&nbsp;&nbsp;  {{LectureDate|7|2}}
+
|- class="NewWeek OddWeek"
−
|/ {{LectureDate|7|4}}
+
|7
−
|  --
+
|{{LectureDate|7|1}}
−
|Reading break
+
 
|
 
|
−
|-
+
|
−
|7: {{LectureDate|8|2}}
+
|
−
|/ {{LectureDate|8|4}}
+
|<span style="color: red;">Family Day - no tutorial</span>
−
| --
+
 
 +
|- class="OddWeek"
 +
|
 +
|{{LectureDate|7|2}}
 +
|/ {{LectureDate|7|4}}
 +
|3.4
 
|7.8
 
|7.8
 
|Repeated roots
 
|Repeated roots
−
|-
+
 
 +
|- class="OddWeek"
 
|
 
|
 
|
 
|
−
| --
+
|
 +
|3.9
 
|7.9
 
|7.9
 
|Summary of homogeneous 2x2 systems. Nonhomogeneous linear systems (Method of Undetermined Coefficients, constant vector only)
 
|Summary of homogeneous 2x2 systems. Nonhomogeneous linear systems (Method of Undetermined Coefficients, constant vector only)
−
|-
+
 
−
|8: {{LectureDate|9|2}}
+
|- class="NewWeek EvenWeek"
 +
|
 +
|{{LectureDate|8|2}}
 +
|/ {{LectureDate|8|4}}
 +
| 
 +
|
 +
|Reading break
 +
 
 +
|- class="NewWeek OddWeek"
 +
|8
 +
|{{LectureDate|9|2}}
 
|/ {{LectureDate|9|4}}
 
|/ {{LectureDate|9|4}}
−
| --
+
|6.1
 
|6.1
 
|6.1
 
|Definition of the Laplace Transform
 
|Definition of the Laplace Transform
−
|-
+
 
 +
|- class="OddWeek"
 +
|
 
|
 
|
 
|
 
|
−
| --
+
|6.2
 
|6.2
 
|6.2
 
|Solution of IVPs
 
|Solution of IVPs
−
|-
+
 
 +
|- class="OddWeek"
 
|
 
|
 
|
 
|
−
| --
+
|
 +
|6.2
 
|6.3
 
|6.3
 
|Step functions
 
|Step functions
−
|-
+
 
 +
|- class="OddWeek"
 +
|
 
|
 
|
 
|
 
|
 
|  --
 
|  --
 
|6.4
 
|6.4
−
|DEs with discontinuous forcing fucntions
+
|DEs with discontinuous forcing functions
−
|-
+
 
−
|9: {{LectureDate|10|2}}
+
|- class="NewWeek EvenWeek"
 +
|9
 +
|{{LectureDate|10|2}}
 
|/ {{LectureDate|10|4}}
 
|/ {{LectureDate|10|4}}
−
|  --
 
−
|6.5
 
−
|Impulse functions
 
−
|-
 
 
|
 
|
 
|
 
|
−
| --
+
|Step, ramp and other piecewise linear forcing functions
−
|6.6
+
 
−
|The convolution integral
+
|- class="EvenWeek"
−
|-
+
 
|
 
|
 
|
 
|
−
|  --
 
−
|10.2
 
−
|Fourier series
 
−
|-
 
−
|10:{{LectureDate|11|2}}
 
 
|
 
|
−
| --
+
|6.4
−
|10.3
+
|6.5
−
|The Fourier convergence theorem
+
|Impulse, Dirac delta function
−
|-
+
 
 +
|- class="NewWeek OddWeek"
 +
|10
 +
|{{LectureDate|11|2}}
 
|
 
|
 
|
 
|
−
|  --
 
−
|10.4
 
−
|Even and odd functions
 
−
|-
 
−
|&nbsp;&nbsp;&nbsp;&nbsp; {{LectureDate|11|4}}
 
 
|
 
|
−
|  --
 
 
|<span style="color: red;">'''Midterm 2'''</span>
 
|<span style="color: red;">'''Midterm 2'''</span>
 +
 +
|- class="OddWeek"
 
|
 
|
−
|-
+
|{{LectureDate|11|4}}
−
|11: {{LectureDate|12|2}}
+
|
 +
|6.3
 +
|6.6
 +
|The convolution integral
 +
 
 +
|- class="OddWeek"
 +
|
 +
|
 +
|
 +
|4.1,4.2
 +
|10.2
 +
|Fourier series
 +
 
 +
|- class="NewWeek EvenWeek"
 +
|11
 +
|{{LectureDate|12|2}}
 
|/ {{LectureDate|12|4}}
 
|/ {{LectureDate|12|4}}
−
|  --
+
|4.4  
−
|10.5
+
|10.4
−
|Heat conduction in a rod - Fourier series and separation of variables
+
| Fourier series for even and odd functions
−
|-
+
 
 +
|- class="EvenWeek"
 
|
 
|
 
|
 
|
−
| --
+
|
−
|10.7
+
|4.6
−
|The wave equation - vibrations of an elastic string
+
|10.5
−
|-
+
|Heat conduction
−
|12: {{LectureDate|13|2}}
+
 
 +
|- class="NewWeek OddWeek"
 +
|12
 +
|{{LectureDate|13|2}}
 
|/ {{LectureDate|13|4}}
 
|/ {{LectureDate|13|4}}
 
|  --
 
|  --
 
|10.6
 
|10.6
 
|Other heat conduction problems
 
|Other heat conduction problems
−
|-
+
 
 +
|- class="NewWeek EvenWeek"
 +
|13
 
|{{LectureDate|14|2}}
 
|{{LectureDate|14|2}}
 +
|/ {{LectureDate|14|4}}
 +
| 
 
|
 
|
−
|  --
 
−
|Catch-up/Review
 
 
|
 
|
 
|-
 
|-
 
|}
 
|}

Latest revision as of 22:07, 29 January 2017

This schedule is tentative and may change slightly as the term progresses.

Not included on this schedule: There will be a weekly worksheet handed in during each tutorial session, starting during the second week of class. Pre-lecture WeBWorK assignments will be due before each lecture and a post-lecture assignment will be due each week.

Regarding textbook references below: These references are to Boyce and DiPrima (an unofficial hardcopy textbook) and Diffy Qs (the official online textbook).


Week Chapters/sections Topics
(Diffy Qs) (B & D)
1 Jan 3 / Jan 5 0.2 1.1 Intro to differential equation models
0.2, 1.1 1.2 Introduction to solutions of differential equations
-- 1.3 Classification of DEs.
1.4 2.1 First order linear equations - Method of Integrating Factors
2 Jan 10 / Jan 12 1.3 2.2 First order separable equations
-- 2.3 Modeling with First Order DEs
1.2 2.4 Linear and nonlinear equations - existence and uniqueness
2.1, 2.2 3.1 Second order linear equations - Homogeneous equations with constant coefficients (real roots of the characteristic equation)
-- 3.2 Second order linear equations - The Wronskian
3 Jan 17 / Jan 19 2.2 3.3 Second order linear equations - Complex root of the characteristic equation
-- 3.4 Repeated roots; Reduction of order
2.5 3.5 Nonhomogeneous equations; method of undetermined coefficients
4 Jan 24 / Jan 26 2.4 3.7 Mechanical and electrical vibrations
2.6 3.8 Forced vibrations
5 Jan 31 Midterm 1
Feb 2 3.1 7.1 Introduction to systems of first order linear equations
3.2 7.2 Review of matrices
3.2 7.3 Systems of linear equations;linear independence, eigenvalues, eigenvectors
6 Feb 7 / Feb 9 3.3 7.4 Basic theory of systems of first order linear equations
3.4 7.5 Homogeneous linear systems with constant coefficients
3.4 7.6 Complex eigenvalues
7 Feb 13 Family Day - no tutorial
Feb 14 / Feb 16 3.4 7.8 Repeated roots
3.9 7.9 Summary of homogeneous 2x2 systems. Nonhomogeneous linear systems (Method of Undetermined Coefficients, constant vector only)
Feb 21 / Feb 23 Reading break
8 Feb 28 / Mar 2 6.1 6.1 Definition of the Laplace Transform
6.2 6.2 Solution of IVPs
6.2 6.3 Step functions
-- 6.4 DEs with discontinuous forcing functions
9 Mar 7 / Mar 9 Step, ramp and other piecewise linear forcing functions
6.4 6.5 Impulse, Dirac delta function
10 Mar 14 Midterm 2
Mar 16 6.3 6.6 The convolution integral
4.1,4.2 10.2 Fourier series
11 Mar 21 / Mar 23 4.4 10.4 Fourier series for even and odd functions
4.6 10.5 Heat conduction
12 Mar 28 / Mar 30 -- 10.6 Other heat conduction problems
13 Apr 4 / Apr 6
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