Image and Map Analysis, and complements of Statistical Applications, with examples related to Building Architecture. 

Knowledge and understanding concerning Image and Map Analysis.

Applying knowledge and understanding of Statistical Analysis.

Making judgements and communication skills linking theory and applications.

Learning skills concerning examples related to Building Architecture.

1. Multivariate Analysis

1.1 Cluster Analysis
1.2 Analysis of Variance (ANOVA)
1.3 Multiple Regression
1.4 Covariance Estimation

2. Discrete Mathematics

2.1 Summary of Matrix Algebra
2.2 Symmetry Groups
2.3 Graph Theory

3. Interpolation and Approximation

3.1 Plane Transformations
3.2 Surface Reconstruction
3.3 Network Adjustment

4 Geographic Applications and Dynamic Aspects

4.1 Map Projections
4.2 Digital Surface Models (DSM)
4.3 Image Analysis
4.4 Time Series

Basic knowledge in Mathematical Analysis, Geometry, Linear Algebra and Elementary Statistics.

Learning skills concerning examples related to Building Architecture verified by means of written numerical exercises.

Knowledge and understanding of complementary Statistics and applying knowledge and understanding of Image and Map Analysis, by means of a general discussion on the program.

This oral discussion is finalized to verify acquired capabilities in making judgements and communication skills.

The selection of the arguments will be explained during the lessons.