Industrial and Systems

Analytic geometry

Calculus

Matrix operations

Vector analysis

Linear algebra

Work, energy, and power

Material properties and selection

Charge, energy, current, voltage, and power

Codes of ethics and licensure

Agreements and contracts

Professional, ethical, and legal responsibility

Public protection and regulatory issues

Discounted cash flows (PW, EAC, FW, IRR, amortization)

Types and breakdown of costs (e.g., fixed, variable, direct and indirect labor)

Cost analyses (e.g., benefit-cost, breakeven, minimum cost, overhead)

Accounting (financial statements and overhead cost allocation)

Cost estimation

Depreciation and taxes

Capital budgeting

Combinatorics (e.g., combinations, permutations)

Probability distributions (e.g., normal, binomial, empirical)

Conditional probabilities

Sampling distributions, sample sizes, and statistics (e.g., central tendency, dispersion)

Estimation (e.g., point, confidence intervals)

Hypothesis testing

Regression (linear, multiple)

System reliability (e.g., single components, parallel and series systems)

Design of experiments (e.g., ANOVA, factorial designs)

Algorithm and logic development (e.g., flow charts, pseudocode)

Databases (e.g., types, information content, relational)

Decision theory (e.g., uncertainty, risk, utility, decision trees)

Optimization modeling (e.g., decision variables, objective functions, and constraints)

Linear programming (e.g., formulation, primal, dual, graphical solutions)

Mathematical programming (e.g., network, integer, dynamic, transportation, assignment)

Stochastic models (e.g., queuing, Markov, reliability)

Simulation

Principles (e.g., planning, organizing, motivational theory)

Tools of management (e.g., MBO, reengineering, organizational structure)

Project management (e.g., scheduling, PERT, CPM)

Productivity measures

Manufacturing processes

Manufacturing systems (e.g., cellular, group technology, flexible)

Process design (e.g., resources, equipment selection, line balancing)

Inventory analysis (e.g., EOQ, safety stock)

Forecasting

Scheduling (e.g., sequencing, cycle time, material control)

Aggregate planning

Production planning (e.g., JIT, MRP, ERP)

Lean enterprises

Automation concepts (e.g., robotics, CIM)

Sustainable manufacturing (e.g., energy efficiency, waste reduction)

Value engineering

Flow measurements and analysis (e.g., from/to charts, flow planning)

Layouts (e.g., types, distance metrics, planning, evaluation)

Location analysis (e.g., single- and multiple-facility location, warehouses)

Process capacity analysis (e.g., number of machines and people, trade-offs)

Material handling capacity analysis

Supply chain management and design

Hazard identification and risk assessment

Environmental stress assessment (e.g., noise, vibrations, heat)

Industrial hygiene

Design for usability (e.g., tasks, tools, displays, controls, user interfaces)

Anthropometry

Biomechanics

Cumulative trauma disorders (e.g., low back injuries, carpal tunnel syndrome)

Systems safety

Cognitive engineering (e.g., information processing, situation awareness, human error, mental models)

Methods analysis (e.g., charting, workstation design, motion economy)

Time study (e.g., time standards, allowances)

Predetermined time standard systems (e.g., MOST, MTM)

Work sampling

Learning curves

Six sigma

Management and planning tools (e.g., fishbone, Pareto, QFD, TQM)

Control charts

Process capability and specifications

Sampling plans

Design of experiments for quality improvement

Reliability engineering

Requirements analysis

System design

Human systems integration

Functional analysis and allocation

Configuration management

Risk management

Verification and assurance

System life-cycle engineering