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GIS220
Introduction
1.
Orientation
1.1.
Overview
1.2.
Checklist
1.3.
Course Text
1.4.
Roles and Responsabilites
1.5.
Assignments and Exams
1.6.
Communication
1.7.
Three Habits of Successful Learners
1.8.
Summary
2.
Functions, Variables, and Polynomials
2.1.
Overview
2.2.
Checklist
2.3.
Variables
2.4.
Functions
2.5.
Function Evaluation
2.6.
Monomials and Polynomials
2.7.
Factoring
2.8.
Summary
3.
Summation and Notation
3.1.
Overview
3.2.
Checklist
3.3.
Notation
3.4.
Sigma Notation
3.5.
Pi Notation
3.6.
Uses of Sigma and Pi Notation
3.7.
Summary
4.
Probability
4.1.
Overview
4.2.
Checklist
4.3.
Introduction
4.4.
Notation
4.5.
Basics of Probability
4.6.
Permutations
4.7.
Combinations
4.8.
Uses of Probability
4.9.
Summary
5.
Distributions and Sampling
5.1.
Overview
5.2.
Checklist
5.3.
Introduction
5.4.
Normal Distribution
5.5.
Other Distributions
5.6.
Sampling Distributions
5.7.
Uses of Distributions
5.8.
Summary
6.
Computational Geometry I
6.1.
Overview
6.2.
Checklist
6.3.
Introduction
6.4.
Points
6.5.
Distances
6.6.
Line Simplification
6.7.
Convex Hulls
6.8.
Simulation
6.9.
Summary
7.
Computational Geometry II
7.1.
Overview
7.2.
Checklist
7.3.
Introduction
7.4.
Line Intersection
7.5.
Area
7.6.
Trees
7.7.
Summary
8.
Matrices I
8.1.
Overview
8.2.
Checklist
8.3.
Introduction
8.4.
Addition and Subtraction
8.5.
Multiplication
8.6.
Matrix Transposition
8.7.
Diagonal and Identity Matrices
8.8.
Graphical Representation
8.9.
Summary
9.
Matrices II
9.1.
Overview
9.2.
Checklist
9.3.
Introduction
9.4.
Determinant & Trace
9.5.
Augmented Matrix & Row Reduction
9.6.
Inversion
9.7.
Line Intersection (Redux)
9.8.
Summary
10.
Matrices III
10.1.
Overview
10.2.
Checklist
10.3.
Introduction
10.4.
Eigen Values and Vectors
10.5.
Spatial Weights
10.6.
Spatial Lags
10.7.
Moran's I
10.8.
Summary
11.
Systems of Linear Equations I
11.1.
Overview
11.2.
Checklist
11.3.
Introduction
11.4.
Systems of Linear Equations
11.5.
Optimization
11.6.
Model Forumulation
11.7.
Location and Transportation
11.8.
Summary
12.
Systems of Linear Equations II
12.1.
Overview
12.2.
Checklist
12.3.
Introduction
12.4.
Simplex Method (Intro)
12.5.
Simplex Method (Example)
12.6.
Integer Programming (Intro)
12.7.
Integer Programming (Example)
12.8.
Summary
13.
Graphs and Networks I
13.1.
Overview
13.2.
Checklist
13.3.
Introduction
13.4.
Measures
13.5.
Network Distances
13.6.
Routing
13.7.
Summary
14.
Graphs and Networks II
14.1.
Overview
14.2.
Checklist
14.3.
Introduction
14.4.
Interaction Models
14.5.
Point Processes
14.6.
Huff Model and Distance Decay Functions
14.7.
Summary
15.
Syllabus
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GIS220
Summation and Notation
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