Introduction to Engineering Analysis

Author Information

Professor Ivan V. Bajic
Professor Fabio Campi
Victor A. Mateescu
Amarjot Singh
Milad Amir Toutounchian
Simon Fraser University

Course Details

Description

Prerequisites

• Prerequisite:
  • Calculus I (Logarithmic and exponential functions, trigonometric functions, inverse functions. Limits, continuity, and derivatives. Techniques of differentiation, including logarithmic and implicit differentiation. The Mean Value Theorem. Applications of Differentiation including extrema, curve sketching, related rates, Newton's method. Antiderivatives and applications. Conic sections, polar coordinates, parametric curves).
• Corequisites:
  • Calculus II (Riemann sum, Fundamental Theorem of Calculus, definite, indefinite and improper integrals, approximate integration, integration techniques, applications of integration. First-order separable differential equations. Sequences and series, series tests, power series, convergence and applications of power series).
  • Applied Linear Algebra (Linear equations, matrices, determinants. Introduction to vector spaces and linear transformations and bases. Complex numbers. Eigenvalues and eigenvectors; diagonalization. Inner products and orthogonality; least squares problems. An emphasis on applications involving matrix and vector calculations).

Original Course Documents

Course Contents

Lecture 1: Introduction to MATLAB

• Lecture 1 Slides

Lecture 2: Scripts, Flow Control, and Data Structures

• Lecture 2 Slides

Lecture 3: Plotting

• Lecture 3 Slides

Lecture 4: Strings and File I/O

• Lecture 4 Slides

Lecture 5: Complex Numbers

• Lecture 5 Slides

Lecture 6: Combinatorics

• Lecture 6 Slides

Lecture 7: System of Linear Equations and Linear Algebra

• Lecture 7 Slides

Lecture 8: Engineering Statistics and Data Analysis

• Lecture 8 Slides

Lecture 9: Polynomial Approximation and Curve Fitting

• Lecture 9 Slides

Lecture 10: Root Finding and Differentiation

• Lecture 10 Slides

Lecture 11: Numerical Integration

• Lecture 11 Slides

Lecture 12: MEX Files

• Lecture 12 Slides

Assignments

Assignment 1: Basic Syntax and Vectorization

• Assignment 1
• Supplementary Files
  • Basic_syntax.m
  • data.mat
  • student_grades.mat
• Solution 1 Files
  • Basic_Syntax_Solutions.m
  • getValues.m

Assignment 2: The Hound of the Baskervilles

• Assignment 2
• Supplementary Files
  • baskervilles.txt
  • PermsRep.m
  • sample.txt
  • simulateIndep.m
  • simulateMarkov.m
• Solution 2 Files
  • 1.fig
  • 2.fig
  • letterStatistics.m
  • letterStatisticsDemo.m
  • output.txt
  • plot1.jpg
  • plot2.jpg
  • writeString.m

Assignment 3: Texas Hold'em

• Assignment 3
• Supplementary Files
  • Texas_HoldEm.m
• Solution 3 Files
  • Texas_HoldEm_solution.m

Assignment 4: Image Interpolation

• Assignment 4
• Solution 4 Files
  • assignment4_solution.m

Assignment 5: Root Finding

• Assignment 5
• Solution 5 Files
  • assignment5_solution.m

Assignment 6: Root Finding (continued)

• Assignment 6
• Supplementary Files
  • f.p
• Solution 6 Files
  • adaptiveSimpsons.m
  • adaptiveTrap.m
  • demoSimpsons.m
  • demoTrap.m
  • f.m
  • integralSimpsons.m
  • integralTrap.m
  • Solution.docx

Assignment 7: Adaptive Quadrature

• Assignment 7
• Supplementary Files
  • applyThreshold_slow.m
  • demoThreshold_slow.m
  • threshold_compile.m
• Solution 7 Files
  • applyThreshold_mex.mexw64
  • demoThreshold_mex.m
  • applyThreshold_mex.cpp
  • threshold.cpp
  • threshold.h
  
  

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