Difference between revisions of "Course schedule"

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|First order linear equations - Method of Integrating Factors
 
|First order linear equations - Method of Integrating Factors
  
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|2
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|/ {{LectureDate|2|4}}
 
|1.3
 
|1.3
 
|2.2  
 
|2.2  
 
|First order separable equations
 
|First order separable equations
  
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|  --
 
|  --
 
|2.3  
 
|2.3  
 
|Modeling with First Order DEs
 
|Modeling with First Order DEs
  
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|Linear and nonlinear equations - existence and uniqueness
 
|Linear and nonlinear equations - existence and uniqueness
  
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|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)
  
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|Second order linear equations - The Wronskian
 
|Second order linear equations - The Wronskian
  
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|3
 
|3
 
|{{LectureDate|3|2}}
 
|{{LectureDate|3|2}}
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|Second order linear equations - Complex root of the characteristic equation
 
|Second order linear equations - Complex root of the characteristic equation
  
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|Repeated roots; Reduction of order
 
|Repeated roots; Reduction of order
  
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|3.5
 
|3.5
 
|Nonhomogeneous equations; method of undetermined coefficients
 
|Nonhomogeneous equations; method of undetermined coefficients
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|4
 
|4
 
|{{LectureDate|4|2}}
 
|{{LectureDate|4|2}}
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|3.7
 
|3.7
 
|Mechanical and electrical vibrations
 
|Mechanical and electrical vibrations
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|3.8
 
|3.8
 
|Forced vibrations
 
|Forced vibrations
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|5
 
|5
 
|{{LectureDate|5|2}}
 
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|{{LectureDate|5|4}}
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|3.1
 
|3.1
 
|7.1
 
|7.1
 
|Introduction to systems of first order linear equations
 
|Introduction to systems of first order linear equations
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|7.2
 
|7.2
 
|Review of matrices
 
|Review of matrices
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|7.3
 
|7.3
 
|Systems of linear equations;linear independence, eigenvalues, eigenvectors
 
|Systems of linear equations;linear independence, eigenvalues, eigenvectors
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|6
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|3.3
 
|3.3
 
|7.4
 
|7.4
 
|Basic theory of systems of first order linear equations
 
|Basic theory of systems of first order linear equations
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|7.5
 
|7.5
 
|Homogeneous linear systems with constant coefficients
 
|Homogeneous linear systems with constant coefficients
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|{{LectureDate|6|4}}
 
 
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|3.4
 
|3.4
 
|7.6
 
|7.6
 
|Complex eigenvalues
 
|Complex eigenvalues
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|7
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|<span style="color: red;">Family Day - no tutorial</span>
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|{{LectureDate|7|2}}
 
|{{LectureDate|7|2}}
 
|/ {{LectureDate|7|4}}
 
|/ {{LectureDate|7|4}}
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|Reading break
 
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|7
 
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|{{LectureDate|8|2}}
 
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|/ {{LectureDate|8|4}}
 
 
|3.4
 
|3.4
 
|7.8
 
|7.8
 
|Repeated roots
 
|Repeated roots
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|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)
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|8
 
|8
 
|{{LectureDate|9|2}}
 
|{{LectureDate|9|2}}
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|6.1
 
|6.1
 
|Definition of the Laplace Transform
 
|Definition of the Laplace Transform
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|6.2
 
|6.2
 
|Solution of IVPs
 
|Solution of IVPs
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|6.3
 
|6.3
 
|Step functions
 
|Step functions
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|6.4
 
|6.4
 
|DEs with discontinuous forcing functions
 
|DEs with discontinuous forcing functions
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|9
 
|9
 
|{{LectureDate|10|2}}
 
|{{LectureDate|10|2}}
 
|/ {{LectureDate|10|4}}
 
|/ {{LectureDate|10|4}}
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|6.4
 
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|6.5
 
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|Impulse functions
 
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|Step, ramp and other piecewise linear forcing functions
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|6.3
 
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|The convolution integral
 
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|6.4
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|4.1, 4.2
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|6.5
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|10.2
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|Impulse, Dirac delta function
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|Fourier series
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|10
 
|10
 
|{{LectureDate|11|2}}
 
|{{LectureDate|11|2}}
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|4.3
 
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|10.3
 
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|The Fourier convergence theorem
 
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|4.4
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|<span style="color: red;">'''Midterm 2'''</span>
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|10.4
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|Fourier series for even and odd functions
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|6.3
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|6.6
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|The convolution integral
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|4.6
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|10.5
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|Heat conduction in a rod - Fourier series and separation of variables
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|4.1,4.2
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|10.2
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|Fourier series
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|11
 
|11
 
|{{LectureDate|12|2}}
 
|{{LectureDate|12|2}}
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|/ {{LectureDate|12|4}}
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|4.4 
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|10.4
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| Fourier series for even and odd functions
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|<span style="color: red;">'''Midterm 2'''</span>
 
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|{{LectureDate|12|4}}
 
 
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|4.6
 
|4.6
 
|10.5
 
|10.5
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|Heat conduction (continued)
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|Heat conduction
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|12
 
|12
 
|{{LectureDate|13|2}}
 
|{{LectureDate|13|2}}
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|10.6
 
|10.6
 
|Other heat conduction problems
 
|Other heat conduction problems
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|13
 
|13
 
|{{LectureDate|14|2}}
 
|{{LectureDate|14|2}}
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|Flex day
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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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