SYDE 114 - Numerical and Applied Calculus
Stephen Birkett


Research


Teaching
SYDE 114
Topics & Lectures
Assignments & Testing
Systems Models I
Applied Linear Algebra
Musical Instruments

Music
Erard
Pleyel
Lipp
Marcia Hadjimarkos

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Instructor: Stephen Birkett

Teaching Assistants:
Office hours TBA, TA room (E5-6009)
David Abou Chacra Georges Younes


Summary:
This course focuses on two fundamental topics in engineering math: (1) matrices and linear systems (continued from SYDE113); and (2) first order ordinary differential equations (ODEs), including several applications to modelling physical systems. In addition to analytical techniques, you will learn about numerical methods for solving linear systems as well as ODE models. As with any math course, the material builds on earlier work, so it is important to keep up-to-date with assignment problems, including those in your concurrent course SYDE 112.


Learning Outcomes:
A) Apply appropriate computational methods for analyzing matrices and solving linear systems. B) Assess accuracy and precision for numerical solution of a linear system. C) Apply basic analytical methods for solving first order ordinary differential equations. D) Formulate and solve a mathematical model of a physical system governed by a first order ordinary differential equation. E) Freely use Matlab as a learning aid to support analytical problem solving and to check answers.


Materials:

B. Bradie, A Friendly Introduction to Numerical Analysis, Prentice-Hall, 2006

This same book will be used for the numerical methods topics in almost all your subsequent math courses.
Author's webpage with partial answers. Author's source code archive

W.E. Kohler & L.W. Johnson, Elementary Differential Equations with Boundary Value Problems, 2nd Edition, Addison-Wesley, 2006

This same book will be used in at least two other of your math courses involving differential equations.

S. Lipschutz, Beginning Linear Algebra, Schaum's Outlines, McGraw-Hill, 1997

OPTIONAL An inexpensive book covering the material on matrices and linear systems. If you already have another Linear Algebra textbook (e.g. Lay, Linear Algebra with Applications - used in SYDE312), that could be used instead. Some assigned problems will be listed from Schaum's, but these are also posted as a pdf in case you don't want to buy the book.

Calculator

A basic scientific calculator is required for working problems.
Assistance: I don't post formal office hours because they usually turn out to be inconvenient for students for one reason or another. A more flexible arrangement seems to work best. Please contact me via email if you want to set up a meeting time. We have plenty of TA resources too (see above) so please take advantage of that for additional assistance. Official TA help hours will be posted - they can be found in the TA room.

Course Communications :
UW Learn is inconvenient for simple communication, so I will send emails directly to you at the addresses provided for the class roster by Quest. Please be sure to read these emails identified by [syde114]. All announcements will be sent via this method: assignment and other course info, updates, test information, lecture and problem-solving commentary, text and lecture typos, clarifications, exam hints etc.

Outline:
The two main units and approximate number of (1 h) lectures for each will be: 1. Matrices and systems of linear equations (12 lectures) 2. First-order ordinary differential equations and applications to modelling physical systems (12 lectures). A detailed list of topics is available here, but I may adjust this as we go along so the official list is what is posted at the end of classes. There's also a roadmap of how the lecture topics relate to the text sections.

Grading Scheme:
Four quizzes (40%)+ (comprehensive) final exam (60%). If a test is missed for a valid reason (medical dilemma, job interview etc) please let me know; a minor change in timing can be accomodated, but otherwise the term grade allocation may be adjusted at my discretion. I may adjust the weighting anyway at a later date at my discretion where it could be beneficial to your grade.

Assignments.
A list of suggested relevant problems will be posted here. You can get help with these in the tutorials, from TAs, or from me. Success in math is generally a [non-decreasing] function of the amount of effort put into working problems, so that effort is always rewarded indirectly. Mastering this material is an experiential process rather than spectator sport. Use the solutions provided to check your work, not to avoid doing it!

Final Exam. Topics: Comprehensive coverage of all material. Questions will test your: (i) knowledge of the material presented in the lectures, with an emphasis on understanding, not proofs; (ii) skill on the assigned problems and homework. Further details will be provided.

Feedback.
Continuous feedback is welcome. I want to know about problems while something can be done to fix them, rather than after the course is over. Don't hesitate to make suggestions for improvements. I like to hear from students about what is good or what is not good.

Officialdom.
Your attention is drawn to Policy 71. Please be aware of the campus-wide policy statement on accountability with respect to course outlines.



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©2017 Stephen Birkett