Learning Objectives & Matches
Probability Models in Electrical and Computer Engineering
Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
Plan or implement research methodology or procedures to apply principles of electrical theory to engineering projects.
Read and interpret electronic circuit diagrams, function block diagrams, specifications, engineering drawings, and service manuals.
Develop statistical models or simulations, using statistical or modeling software.
Design, conduct, and evaluate experimental operational models in cases where models cannot be developed from existing data.
Formulate mathematical models or other methods of computer analysis to develop, evaluate, or modify design, according to customer engineering requirements.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Analyze job orders, drawings, blueprints, specifications, printed circuit board pattern films, and design data to calculate dimensions, tool selection, machine speeds, and feed rates.
Design electrical systems, such as lighting systems.
Investigate characteristics such as cost, performance, or process capability of potential microelectromechanical systems (MEMS) device designs, using simulation or modeling software.
Basic Concepts of Probability Theory
Examine theories, such as those of probability and inference, to discover mathematical bases for new or improved methods of obtaining and evaluating numerical data.
Construct probability tables for events such as fires, natural disasters, and unemployment, based on analysis of statistical data and other pertinent information.
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Describe and express observations and conclusions in mathematical terms.
Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Analyze the probable outcomes of cases, using knowledge of legal precedents.
Develop and test theories, using information from interviews, newspapers, periodicals, case law, historical papers, polls, or statistical sources.
Explain and interpret house rules, such as game rules or betting limits.
Apply modeling or quantitative analysis to forecast events, such as human decisions or behaviors, the structure or processes of organizations, or the attitudes or actions of human groups.
Discrete Random Variables
Determine allocations of funds for staff, supplies, materials, and equipment and authorize purchases.
Construct probability tables for events such as fires, natural disasters, and unemployment, based on analysis of statistical data and other pertinent information.
Pairs of Random Variables (selected sections)
Vector Random Variables (selected sections)
Sums of Random Variables (selected sections)