AIM 5113 - Revision history

Duynguyenvu.hoang: /* Topics List */

2023-03-23T14:17:10Z

Topics List

Duynguyenvu.hoang: /* Topics List */

2023-03-23T14:16:25Z

Topics List

Duynguyenvu.hoang at 14:07, 23 March 2023

2023-03-23T14:07:11Z

Duynguyenvu.hoang: Created page with "==Topics List== {| class="wikitable sortable" ! Date !! Sections !! Topics !! Prerequisite Skills !! Student Learning Outcomes |- |Week 1 || * || Introduction to statistical..."

2023-03-13T14:20:52Z

Created page with "==Topics List== {| class="wikitable sortable" ! Date !! Sections !! Topics !! Prerequisite Skills !! Student Learning Outcomes |- |Week 1 || * || Introduction to statistical..."

New page

==Topics List==
{| class="wikitable sortable"
! Date !! Sections !! Topics !! Prerequisite Skills !! Student Learning Outcomes
|-
|Week 1
||
*
||
Introduction to statistical reasoning and random variables
||

||
* Uniform, Gaussian and Poisson distributions
|-
|Week 2
||
*
||
Introduction to statistical reasoning and random variables (continued)
||

||
* Taguchi quality control
|-
|Week 3
||
*
||
Monte-Carlo methods
||

||
* Computing integrals using the Monte-Carlo method
|-
|Week 4
||
*
||
Monte-Carlo methods (continued)
||

||
* Learn to implement Monte-Carlo methods in Python/MATLAB
|-
|Week 5
||
*
||
Introduction to Data Acquisition and Manipulation
||

||
* z-transform, filters, stability, error analysis, aliasing
|-
|Week 6
||
*
||
Discrete Fourier transform
||

||
* Properties of the Fourier transform
|-
|Week 7
||
*
||
Linear Regression and Optimization Problems
||

||
*
|-
|Week 8
||
*
||
Cost-Benefit Analysis
||
*
||
*
|-
|Week 9
||
*
||
Basic of Economic Analysis
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*
||
*
|-
|Week 10
||
*
||
Introduction to Ordinary Differential Equations
||
Derivatives
||
*
|-
|Week 11
||
*
||
Introduction to Partial Differential Equations
||
*
||
*
|-
|Week 12
||
*
||
Finite Differences
||
*
||
*
|-
|Week 13
||
*
||
Writing Technical Reports
||

||
*
|-
|Week 14
||
*
||
Review, advanced topics
||
*
||
*
|}

@@ Line 124: / Line 124: @@
+*
 ||
+* Using transform methods for signal processing
 |-
 |Week 13

@@ Line 40: / Line 40: @@
+*
 ||
-Monte-Carlo methods (continued)
+Statistical Reasoning, Distributions
 ||
 ||
-* Learn to implement Monte-Carlo methods in Python/MATLAB
+* Understanding probabilistic and statistical reasoning, Excel, data visualization
 |-
 |Week 5
@@ Line 50: / Line 50: @@
+*
 ||
-Introduction to Data Acquisition and Manipulation
+Monte Carlo Method
 ||
 ||
-* z-transform, filters, stability, error analysis, aliasing
+* Numerical integration, implementing the Monte-Carlo method
 |-
 |Week 6
@@ Line 60: / Line 60: @@
+*
 ||
-Discrete Fourier transform
+Introduction to ODEs
 ||
 ||
-* Properties of the Fourier transform
+*  Statement of basic theorems, higher-order equations
 |-
 |Week 7
@@ Line 70: / Line 70: @@
+*
 ||
-Linear Regression and Optimization Problems
+Boundary conditions, phase portraits, Finite difference methods.
 ||
 ||
+* Learn to implement finite difference methods
 |-
 |Week 8
@@ Line 80: / Line 80: @@
+*
 ||
-Cost-Benefit Analysis
+Frequency domain methods, Laplace transforms
 ||
+*
 ||
+* Applying transform methods to solve ODEs
 |-
 |Week 9
@@ Line 90: / Line 90: @@
+*
 ||
-Basic of Economic Analysis
+Control theory
 ||
+*
 ||
+* Designing and implementing control for systems of ODEs
 |-
 |Week 10
@@ Line 100: / Line 100: @@
+*
 ||
-Introduction to Ordinary Differential Equations
+Introduction to PDEs
 ||
 Derivatives
 ||
+* Basic PDEs such as Laplace and Wave equation
 |-
 |Week 11
@@ Line 110: / Line 110: @@
+*
 ||
-Introduction to Partial Differential Equations
+Signal processing and data acquisition
 ||
+*
 ||
+* z-transform, Discrete Fourier Transform
 |-
 |Week 12
@@ Line 120: / Line 120: @@
+*
 ||
-Finite Differences
+Fourier and Laplace transform revisited
 ||
+*
@@ Line 130: / Line 130: @@
+*
 ||
-Writing Technical Reports
+Optimization I
 ||
 ||
+* Linear vs Nonlinear programming
 |-
 |Week 14
@@ Line 140: / Line 140: @@
+*
 ||
-Review, advanced topics
+Optimization II
 ||
+*
 ||
+* Optimal control, Neural Networks
 |}

@@ Line 1: / Line 1: @@
 ==Topics List==
 {| class="wikitable sortable"
@@ Line 7: / Line 10: @@
+*
 ||
-Introduction to statistical reasoning and random variables
+Model Fitting, Basis Functions and Applications of the Inner Product
 ||
 ||
-* Uniform, Gaussian and Poisson distributions
+* Interpolation, grid spacing, intro to MATLAB. Basis functions. Numerical integration. Latex and MATLAB basics.
 |-
 |Week 2
@@ Line 17: / Line 20: @@
+*
 ||
-Introduction to statistical reasoning and random variables (continued)
+Model Fitting, Basis Functions and Applications of the Inner Product
 ||
 ||
-* Taguchi quality control
+* Regression, Least Squares, Inner Products
 |-
 |Week 3
@@ Line 27: / Line 30: @@
+*
 ||
-Monte-Carlo methods
+Model Fitting, Basis Functions and Applications of the Inner Product
 ||
 ||
-* Computing integrals using the Monte-Carlo method
+* Hilbert Space, Trigonometric polynomials
 |-
 |Week 4