Case 1: Rain, Rain, Go Away
An engineer employed by the Canadian office of a large international consulting firm is
assign as the lead designer for a highways project in a developing country. The project
involves the design and construction of approximate
Algorithms and Circuits with Finite Precision Arithmetics
ENGINEERIN EE 365

Spring 2016
EE3645 Midterm:
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Date: Wednesday, February 26, 2014
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Algorithms and Circuits with Finite Precision Arithmetics
ENGINEERIN EE 365

Spring 2016
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Algorithms and Circuits with Finite Precision Arithmetics
ENGINEERIN EE 365

Spring 2016
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CRAMERS RULE
GE 111 Topic 12
Anton. Section 2.3
1
pp 118128
GE 111 Engineering Problem Solving
Nov 2014
12. Cramers Rule
Learning Outcomes
By the end of this subject the student will be able to:
1. Be able to find the matrix inverse using the Adjoint Met
Matrix Operations
GE 111 Topic 9
Anton, Chapter 1.3 pp 2539
9. Matrix Operations
Learning Outcomes
By the end of this subject the student will be able to:
1. Provide definitions of the following terms: matrix, size of a
matrix, matrix order, row or colum
GE 111
Review Problems Part I
A.
B.
C.
D.
E.
F.
Basics
Exponentials & Logarithms
Graphing and more Exp & Logs
Trigonometry, Rotation, Velocity
Material Balance
Some Answers
Solution are not given here. One learns by doing. Some of these problems, and
thei
Properties of Determinants
GE 111 Topic 11
Anton. Section 2.1
pp 105112
GE 111 Engineering Problem Solving
Nov 2014
11. Properties of Determinants
Learning Outcomes
By the end of this subject the student will be able to:
1. Be able to evaluate the determ
Inverses; Algebraic Properties of
Matrices
GE 111 Topic 10 (Section 1.4)
Anton 1
Sections 1.4 to 1.7
pp 3975
GE 111 Engineering Problem Solving
Nov 2014
10. Matrix Inverses
Learning Outcomes; Section 1.4
By the end of this subject the student will be abl
Gaussian Elimination
GE 111 Topic 8
Anton, Chapter 1.2 pp 11 22
8. Gaussian Elimination
Learning Outcomes
By the end of this subject the student will be able to:
1. Use the Gauss elimination procedure to convert a system of
linear equations to row echelo
Introduction to Systems
of Linear Equations
GE 111 Topic 7
Anton, Chapter 1.1, pp110
GE111
College of Engineering
University of Saskatchewan
7. Linear Equations
Learning Outcomes
By the end of this subject the student will be able to:
1. Define what is a
Husky Energy Ethanol
Plant (Lloydminster, SK)
http:/www.huskyenergy.com/news/photolibrary/llo
ydminsterethanolplant.asp#
6. Material Balance
Material Balance Problems
GE 111 Topic 6
6. Material Balance
Learning Outcomes
By the end of this subject the stud
3. Nonlinear Graphing
Graphing Nonlinear Functions
GE 111 Topic 3
3. Nonlinear Graphing
Learning Outcomes
By the end of this subject the student will be able to:
1. Graph data involving semilog and loglog scales;
2. Convert and graph semilog and loglo
5. Velocity
Velocity Problems
GE 111 Topic 5
Pool Break by James Barker from FreeDigitalPhotos.net
Problem Analysis
An ability to use appropriate knowledge and skills to identify,
formulate, analyze, and solve complex engineering problems in
order to reac
4. Trigonometry and Rotation
Turntable, James Barker
FreeDigitalPhotos.net
Trigonometry and Rotational Problems
GE 111 Topic 4
Problem Analysis
An ability to use appropriate knowledge and skills to identify,
formulate, analyze, and solve complex engineeri
1. Exponentials and Logarithms
ex
ln
y1/x
yx
x1/2
10x
Log
x1
x2
x1/3
Exponentials and
Logarithms
GE 111 Topic 1
Engineering Problem Solving
A knowledge of mathematics is key to understanding and
applying the various techniques and theories that are used
2. Graphing
Hard drive capacity over time,
illustrating Moores Law
Author Hankwang. File is from Wikimedia
Commons.
http:/en.wikipedia.org/wiki/File:Hard_drive_capa
city_over_time.svg Accessed May 30, 2014
Graphing Engineering Data
GE 111 Topic 2
2. Graph
GE 111 Engineering Problem Solving
Laboratory 6
Matrix Operations in Excel
OBJECTIVES/SKILLS:
Learn about matrix operations in Excel.
BACKGROUND:
Excel includes the capability to work with vectors and matrices. Vectors and matrices within the Excel
enviro
GE 111 Engineering Problem Solving
Laboratory 1, 2014
Introductory Spreadsheets for Engineering Applications
Objective:
To extend and reinforce the use of MS EXCEL with names, equations and functions,
introduce logical expressions to make conditional stat
GE 111 Engineering Problem Solving
Laboratory 3
Using Excel for Curve Fitting
OBJECTIVES/SKILLS:
Plot data on an Excel plot
Use a trend line in Excel to extract a line of best fit from data
Know how to plot observed, empirical and theoretical information
GE 111 Engineering Problem Solving
Laboratory 7
MATLAB
OBJECTIVES/SKILLS:
Expose students to the program MATLAB.
BACKGROUND:
MATLAB is a powerful tool allowing complex mathematical operations,
especially matrix operations, to be performed quickly and easi
GE 111 Engineering Problem Solving
Laboratory 5
Velocity and Material Balance Problems
OBJECTIVES/SKILLS:
Practice Velocity and Material Balance Problems.
BACKGROUND:
Key concepts to consider with velocity and material balance problems:
If the velocity qu
GE 111 Engineering Problem Solving
Laboratory 4
Trigonometry and Rotation Problems
OBJECTIVES/SKILLS:
Practice Trigonometry and Rotational Problems
BACKGROUND:
Please look at the Trigonometry sheet that is on the class website within the
Lecture Notes pag