APSC 3115

Syllabus

Introduction

Lecture Notes

Example Exam Questions

Solutions

GTA

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ENGINEERING ANALYSIS III :

Course Description:
"Probability and statistics are fascinating subjects on the interface between
mathematics and applied sciences that help us understand and solve practical
problems. We believe that you, by learning how stochastic methods come
about and why they work, will be able to understand the meaning of statistical
statements as well as judge the quality of their content, when facing such
problems on your own. Our philosophy is one of how and why: instead of just
presenting stochastic methods as cookbook recipes, we prefer to explain the
principles behind them." - Dekking et al. (2005)

This course covers the basics of probability theory and statistics and ventures into some topics that go beyond an introductory course such as: simulation, the Poisson process, the law of large numbers, and the central limit theorem. Examples and datasets in this book are mostly from real-life situations. A first course in calculus is needed as a prerequisite for this course as well as introductory proficiency with Micro Soft Excel. In addition to high-school algebra, some infinite series are used. Integration and differentiation are the most important skills, mainly concerning one variable (the exceptions, two dimensional integrals, are encountered in Chapters 9–11). The statistical software package MINITAB shall be used where appropriate.

Required Software: MINITAB, MicroSoft Excel.

Required Text Book:
"A Modern Introduction to Probability and Statistics, Understanding Why and How" by F.M. Dekking, C. Kraaikamp, H.P. Lopuhaä and L.E. Meester, Springer-Verlag, 2005.