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Course Information
Health Careers Education
Applied Mathematics for Laboratory Science
This course provides the student with skills in calculation and application of scientific notation, significant figures, metric, English and temperature conversions, concentration, sample statistics, basic algebra and word problems. This course also familiarizes the student with common laboratory glassware and utensils, balances, reading volume, utilization of pipettes and burets to make solutions, and utilization of various heat sources and stirrers.
Lara Skaggs

Knowledge and Skills
-Demonstrate Weighing and Volume Measurement Techniques Using Varied Labware and Equipment.

1. Explain the sensitivity and care of equipment and glassware.

2. Demonstrate proper use of balances.

3. Demonstrate accurate reading methodology of volume in graduated glassware.

4. Demonstrate proper storage, use and disposal of pipets.

5. Identify and use proper glassware to deliver and contain specific volumes.

-Review Lab Equipment and Labware.

1. List the common equipment used in the laboratory.

2. Define the meaning of the abbreviations used on all common labware.

3. Define and list the type(s) of analysis performed with each piece of equipment.

C. Identify and Use Common Heating Equipment Used in Laboratory.

1. Identify the common electrical heating equipment used in the laboratory.

2. Demonstrate the use of the common heating equipment.

3. Review the safety and work procedures involved in the use of open flames.

-Operate Basic Support Equipment in the Laboratory.

1. Identify the equipment used for support of laboratory operations and the laboratory environment.

2. Describe the operation and model the use of support equipment.

-Perform Assembly, Maintenance and Troubleshooting of Lab Equipment

1. Locate equipment manual to review basic design, control and operations of that model.

2. Label equipment.

3. Check calibration and perform systems diagnostics according to maintenance schedule.

4. Perform or schedule preventative maintenance.

5. Implement system updates as needed.

6. Maintain equipment logs.

7. Troubleshoot and repair equipment or complete work orders.

F.Comprehend and Model Essential Housekeeping Functions

1. Demonstrate proper dish washing technique for chemical glassware.

2. List and be prepared to discuss the errors and hazards that may be caused by unclean glassware.

3. Model and explain the steps to perform the essential housekeeping functions necessary to assure a contamination-free lab environment according to SOPs (standard operating procedures).

4. Model the sterilization of glassware and other items using an autoclave

5. Describe and model the disposal of laboratory clean-up materials and tools

6. Identify the different types of detergents/cleaners and their uses.

7. Describe the appropriate appearance of the laboratory and status of equipment before exiting each day.

8. Model appropriate documentation of daily housekeeping functions performed.

G. Identify and Model Care and Use of Common Laboratory Glassware and Utensils.

1. Locate, identify and correctly label/spell the common glassware and metal utensils used in the laboratory on a daily basis.

2. Locate the storage areas for all common glassware and metal utensils.

3. Set-up and describe the use of common laboratory glassware and utensils including the abbreviated measurements on each piece of labware.

4. Model sterilization of labware and utensils.

5. Model proper disposal of broken glassware.

-Analyze various scenarios/situations and apply fundamental mathematical processes. (Can be fulfilled with Algebra I prerequisite)

1. Identify the problem from a described situation, determine the necessary data and apply appropriate problem-solving strategies.

2. Apply mathematical problem-solving skills to other disciplines.

3. Perform fundamental addition, subtraction, multiplication and division operations.

4. Manipulate whole numbers, fractions and decimals.

5. Simplify basic algebraic equations to solve for x.

6. Determine are and volume of geometric forms.

7. Interpret and solve problems involving ratio and proportion.

8. Set up and solve mathematical problems involving percent and proportions.

-Use a variety of mathematical representations as tools for organizing, recording, and communicating mathematical ideas (e.g., mathematical models, tables, graphs, spreadsheets). (Can be fulfilled with Algebra I prerequisite)

1. Define and create when given numerical data; data tables, bar graphs, line graphs, pie charts and spreadsheets.

2. Compare and contrast different types of graphs to represent data.

3. Explore the effects of changing data in a spreadsheet.

4. Properly prepare, title, and label a graph using EXCEL or another computer graphing tool.

5. Define and label dependent and independent variable.

6. Discriminate how to and when to represent numerical relationships in one-dimensional and two-dimensional graphs.

7. Utilize Excel or other graphing software as a tool to construct simple mathematical representations.

8. Explore and produce graphic representations of data using calculators/computers

-Apply Scientific Notation and Significant Figures in Scientific Calculations.

1. Express numbers in scientific notation.

2. Manipulate numbers expressed in scientific notation back to simple numbers.

3. Determine the correct number of significant figures in given values.

4. Manipulate values expressing the results in the correct number of significant figures.

-Convert Within and Between the English and SI Measurement Systems.

1. Define and characterize the relative size of units in the , also known as the Metric System.

2. Demonstrate the usage of the formulas for the following measurements; distance, area, volume, and weight utilizing the English and SI measurement systems.

3. Convert data between English and the SI measurement systems. .

4. Convert data within the SI system utilizing the Dimensional Analysis method.

5. Define each of the temperature systems, Celsius, Fahrenheit and Kelvin.

6. Compare and contrast each of temperature system's advantage(s) and disadvantage(s).

7. Correlate the formula used to and demonstrate how to; convert temperature units between different temperature systems.

-Calculate Sample Statistics, Identify Outliers and Source Discrepancies

1. Describe the factors necessary to perform statistical calculations on sample data.

2. Perform standard statistical calculations on sets of data.

3. Describe the use of the three values generally calculated from statistical sample data.

4. Identify the probable sources of data sets generated in the laboratory.

5. Develop control charts with warning limits and control limits.

6. Describe the use of statistics and control charts in the work place.

7. Explain the use of replications of analyses on one sample.

8. Recognize and discuss the possible sources of values in a group of data.

9. Pick out the obvious outliers and subgroups in values in a group of data.

10. Calculate basic sample statistics including the mean, standard deviation and confidence limits.

-Evaluate Data Sets, Data Results, and Identify Outliers.

1. Identify outliers and hypothesize their causes and corrective action.

2. Identify the probable sources of data sets generated in the laboratory.

3. Define the differences in qualitative and quantitative measurements.

4. Define the differences in precision, accuracy and random data.

5. Recognize and discuss bad or impossible statistics based on data sets.

6. Properly write a statistical sentence describing the variation in a given set of data.

Lab Technician - CTTC
Perform Concentration of Solutions Calculations.
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