## 1. MATHEMATICAL TOOLS***** This contains additions and sections by Dr. Andrew Sterian. • We use math in almost every problem we solve. As a result the more relevant topics of mathematics are summarized here. • This is not intended for learning, but for reference. ## 1.1 INTRODUCTION## 1.2 FUNCTIONS## 1.3 SPATIAL RELATIONSHIPS## 1.4 COORDINATE SYSTEMS## 1.5 MATRICES AND VECTORS## 1.6 CALCULUS## 1.7 NUMERICAL METHODS## 1.8 LAPLACE TRANSFORMS## 1.9 z-TRANSFORMS## 1.10 FOURIER SERIES## 1.11 TOPICS NOT COVERED (YET)## 1.12 REFERENCES/BIBLIOGRAPHY |