Difference between revisions of "Course schedule"
From UBCMATH WIKI
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|First order separable equations | |First order separable equations | ||
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|{{LectureDate|2|2}} | |{{LectureDate|2|2}} | ||
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|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}} | |{{LectureDate|5|2}} | ||
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|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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|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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|6 | |6 | ||
|{{LectureDate|6|2}} | |{{LectureDate|6|2}} | ||
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|<span style="color: red;">'''Midterm 1'''</span> | |<span style="color: red;">'''Midterm 1'''</span> | ||
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|{{LectureDate|6|4}} | |{{LectureDate|6|4}} | ||
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|7.6 | |7.6 | ||
|Complex eigenvalues | |Complex eigenvalues | ||
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|{{LectureDate|7|2}} | |{{LectureDate|7|2}} | ||
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|Reading break | |Reading break | ||
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|7 | |7 | ||
|{{LectureDate|8|2}} | |{{LectureDate|8|2}} | ||
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|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}} | ||
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|6.5 | |6.5 | ||
|Impulse functions | |Impulse functions | ||
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|6.6 | |6.6 | ||
|The convolution integral | |The convolution integral | ||
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|10.2 | |10.2 | ||
|Fourier series | |Fourier series | ||
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|10 | |10 | ||
|{{LectureDate|11|2}} | |{{LectureDate|11|2}} | ||
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|10.3 | |10.3 | ||
|The Fourier convergence theorem | |The Fourier convergence theorem | ||
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|10.4 | |10.4 | ||
|Fourier series for even and odd functions | |Fourier series for even and odd functions | ||
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|10.5 | |10.5 | ||
|Heat conduction in a rod - Fourier series and separation of variables | |Heat conduction in a rod - Fourier series and separation of variables | ||
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|11 | |11 | ||
|{{LectureDate|12|2}} | |{{LectureDate|12|2}} | ||
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|<span style="color: red;">'''Midterm 2'''</span> | |<span style="color: red;">'''Midterm 2'''</span> | ||
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|{{LectureDate|12|4}} | |{{LectureDate|12|4}} | ||
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|10.5 | |10.5 | ||
|Heat conduction (continued) | |Heat conduction (continued) | ||
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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}} | ||
Revision as of 00:17, 2 January 2016
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 | |||
| 1.3 | 2.2 | First order separable equations | |||
| 2 | Jan 10 | / Jan 12 | -- | 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 | / 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 | |||
| 3.3 | 7.4 | Basic theory of systems of first order linear equations | |||
| 3.4 | 7.5 | Homogeneous linear systems with constant coefficients | |||
| 6 | Feb 7 | Midterm 1 | |||
| Feb 9 | 3.4 | 7.6 | Complex eigenvalues | ||
| Feb 14 | / Feb 16 | Reading break | |||
| 7 | Feb 21 | / Feb 23 | 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) | |||
| 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 | 6.4 | 6.5 | Impulse functions |
| 6.3 | 6.6 | The convolution integral | |||
| 4.1, 4.2 | 10.2 | Fourier series | |||
| 10 | Mar 14 | /Mar 16 | 4.3 | 10.3 | The Fourier convergence theorem |
| 4.4 | 10.4 | Fourier series for even and odd functions | |||
| 4.6 | 10.5 | Heat conduction in a rod - Fourier series and separation of variables | |||
| 11 | Mar 21 | Midterm 2 | |||
| Mar 23 | 4.6 | 10.5 | Heat conduction (continued) | ||
| 12 | Mar 28 | / Mar 30 | -- | 10.6 | Other heat conduction problems |
| 13 | Apr 4 | Flex day | |||
