Analytic geometry and trigonometry, algebraic equations and roots, differential and integral calculus, differential equations, and numerical methods including error propagation.
A. Analytic geometry and trigonometry
B. Algebraic equations and roots
Measures of central tendency and dispersion, probability distributions, confidence intervals for a single mean, regression and curve fitting, and hypothesis testing.
B. Probability distributions
C. Estimation for a single mean
D. Regression (linear, multiple), curve fitting, and goodness of fit
Codes of ethics, public health, safety, and welfare, professional liability and licensure, compliance with environmental statutes (CWA, CAA, RCRA, CERCLA, SDWA, NEPA, OSHA), and the engineer's role in sustainability.
C. Compliance with codes, standards, and regulations
D. Engineer’s role in society
Time value of money and equivalence, cost types and breakdowns, benefit-cost, break-even, and life-cycle analyses, and project selection with depreciation and unequal lives.
B. Cost types and breakdowns
Population projections and water, wastewater, and solid-waste demand calculations, ideal reactor models (CSTR, batch, plug flow), and materials science including properties and corrosion.
A. Population projections and demand calculations
Stoichiometry and chemical equilibrium, acid-base and oxidation-reduction reactions, pC-pH diagrams, reaction kinetics, organic chemistry, and multimedia partitioning by Henry's law and the octanol-water coefficient.
A. Stoichiometry and chemical reactions
D. Multimedia equilibrium partitioning
Dose-response toxicity for carcinogens and noncarcinogens, exposure routes and pathways and chronic daily intake, and occupational health including PPE and noise exposure.
A. Dose-response toxicity
B. Exposure routes and pathways
Fluid statics, closed-conduit flow (Darcy-Weisbach, Hazen-Williams, Moody), open-channel flow (Manning), pumps and blowers, flow measurement with weirs and orifices, and the Bernoulli and continuity equations.
First and second laws, energy, heat, and work, efficiencies and coefficient of performance, conduction, convection, and radiation heat transfer, and the behavior of ideal gases.
B. Energy, heat, and work
C. Behavior of ideal gases
Runoff and the rational method, time of concentration and IDF curves, detention and retention storage sizing, channel and reservoir routing, water-quality modeling (Streeter-Phelps, eutrophication), and the water budget.
D. Water quality and modeling
Aquifer properties and hydrogeology, Darcy's law and seepage velocity, well drawdown (Theis, Jacob, Thiem, Dupuit), and soil, sediment, and groundwater remediation.
D. Remediation of soil, sediment, and/or groundwater
Water and wastewater characteristics, mass balance and removal-efficiency loading rates, physical, chemical, and biological treatment processes, sludge treatment and handling, and water conservation and reuse.
A. Water and wastewater characteristics
F. Sludge treatment and handling
G. Water conservation and reuse
Ambient and indoor air quality, mass and energy balances, emission factors and rates, atmospheric dispersion and stability classes, and gas and particulate control technologies.
A. Ambient and indoor air quality
D. Atmospheric modeling and meteorology
F. Particle treatment technologies
G. Indoor air quality modeling and controls
Solid waste management, collection, and disposal, landfill leachate and gas, mass and energy balances, hazardous waste compatibility, site characterization, and waste treatment and disposal.
B. Solid waste management
D. Hazardous waste compatibility
Conventional and alternative energy source concepts and the environmental impacts of energy production, including greenhouse gas emissions, carbon footprint, and thermal and water demands.
A. Energy sources concepts
B. Environmental impact of energy sources and production