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I. Mathematical methods for hydraulic calculations
A. Fractions, decimals, percentages
B. Arithmetic mean, median, mode
C. Weighted averages
D. pH calculations
E. Ratio and proportions
F. Conversions
1. English to metric
2. Volume to weight
3. Flow conversions
G. Algebraic concepts for variable isolation
II. Calculations of chemical quantities
A. Pounds required
B. Dose calculations
C. Preparation of chemical solutions
III. Wastewater collection
A. Flow quantity
1. Average flow
2. Per capita flow
3. Equivalent population for industrial discharges
B. Flow composition
C. Flow velocity
IV. Preliminary treatment
A. Pumping stations
1. Wet well capacity
2. Wet well pumping rate
B. Screenings
C. Grit chambers and sand traps
1. Flow velocity
2. Detention time
3. Grit removal
V. Primary treatment: wastewater
A. Influent loading: Biological Oxygen Demand (BOD), Total Dissolved Solids (TDS)
B. Clarifier/sedimentation basin volume
C. Surface loading rate
D. Clarifier detention time
E. Weir overflow rate
F. Clarifier efficiency
G. Solids removal
H. Clarifier sludge pumping
VI. Treatment: ponds and filters
A. Stabilization ponds
1. Volume
2. Loading: hydraulic and organic
3. Evaporation rate
B. Trickling filters
1. Filter capacity
2. Loading: hydraulic and organic
3. Treatment efficiencies- BOD & suspended solids
4. Recirculation ratio
VII. Activated sludge treatment of wastewater
A. Aeration
1. Food/micro-organism loading ratio
2. Mean cell residence time
3. Waste sludge pumping rate
4. Return activated sludge pumping rate
5. Aerator air requirements
B. Secondary clarification loading rates
1. Rate calculations
2. Sludge volume index
VIII. Advanced treatment: wastewater
A. Filtration rate
B. Chemical addition requirements
IX. Sludge treatment and disposal for wastewater treatment
A. Sludge pumping: wastewater
1. Sludge volume
2. Sludge thickening
3. Piston pumps
B. Digester seeding
C. Digester loading & detention time
D. Volatile acids/alkalinity ratio
E. Volatile solids reduction
F. Sludge withdrawal for dewatering
X. Mechanical solids thickening
A. Centrifuge efficiency
B. Belt press efficiency
C. Dissolved air flotation: solids capture and air to solids ratio
D. Other solids thickening
XI. Effluent treatment and disposal
A. Disinfection
1. Chlorine dosage, demand, and residual
2. Hypochlorite calculations
3. Calculation of CT(concentration x time)
4. Dechlorination
5. Other disinfection methods
B. Log removal calculations to assess disinfection efficiency
C. Sand filtration
XII. Solids balance through wastewater treatment plants
A. Calculation methods for solids in pounds and sludge units
B. Process used to determine solids mass and location
C. Values used to determine solids mass balance
XIII. Pumps
A. Head
1. Static
2. Friction
3. Total dynamic
4. Head loss
B. Power usage
1. Horsepower
2. Brake horsepower
3. Motor horsepower
4. Conversion of horsepower to kilowatt
5. Cost of power
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1. Math Text for Water & Wastewater Technicians, 3rd edition. Grover Wright. Wright's Training, 1997 (classic).
2. Applied Math for Wastewater. Joanne Kilpatrick Price. First CRC Press, 1991 (classic).
3. Applied Math for Wastewater Workbook. Joanne Kilpatrick Price. First CRC Press,1991 (classic).
4. Instructor prepared materials