
MAT 772  Applied Math Credits: 3 Lecture Hours: 3 Lab Hours: 0 Practicum Hours: 0 Work Experience: 0 Course Type: Voc/Tech A course in elementary mathematical skills for technicians. Topics covered include fundamental operations with whole numbers, fractions, decimals and signed numbers; percents; geometric figures and basic constructions; area and volume formulas; English/Metric systems; measurements; and the interpretation of graphs and charts. Competencies
 Use numbers in a variety of equivalent forms
 Read whole numbers, fractions, and decimals
 List equivalent fractions
 Convert fractions to mixed numbers (and vice versa
 Convert fractions to decimals (and vice versa).
 Find common denominators
 Define percents
 Convert fractions and decimals to percents (and vice versa).
 Read signed numbers
 Describe the real number line
 Define absolute value
 Define exponential notation
 Define scientific notation
 Compute with whole numbers, fractions, decimals, and integers in real world and mathematical solving
 Apply the four arithmetic operations (add, subtract, multiply, and divide) to whole numbers
 Apply the four arithmetic operations to fractions
 Apply the four arithmetic operations to decimals
 Apply the four arithmetic operations to integers
 Apply the four arithmetic operations to complex fractions
 Demonstrate the use of exponential notation in computation
 Demonstrate the use of scientific notation in computation
 Use computational techniques appropriate to specific problems
 Model realworld problems
 Calculate a solution to the problem
 Round the answer when necessary
 Calculate using a calculator
 Recognize whether or not an answer is reasonable
 Estimate an answer
 Determine the reasonableness of the answer
 Identify basic geometric figures
 Identify two dimensional figures and parts
 Identify three dimensional figures and parts
 Demonstrate basic geometric constructions
 Construct
 Apply geometric properties and relationships in realworld and mathematical problem solving
 Demonstrate the properties of
 Use the Pythagorean theorem
 Use similarity in solving applied problems
 Demonstrate the relationships between central angle, arcs, and inscribed angles
 Explain the intersection of lines and circles
 Calculate the angles formed by circles and lines
 Use a protractor to measure angles
 Use geometric formulas to solve problems
 Calculate the measure of an angle in both degrees and radians
 Calculate the area and volume of plane figures
 Calculate lateral surface area, total surface area and volume of geometric solids (prisms, cylinders, pyramids, cones, and spheres).
 Convert measurements within the metric and English systems and between systems
 Identify the units in the English and Metric systems
 Convert within the English System
 Convert within the Metric System
 Convert between Metric and English Systems
 Model dimensional figures
 Calculate answers to dimensional figures
 Use appropriate units and tools to measure to the degree of accuracy required in a particular situation
 Calculate answers to the correct degree of precision
 Calculate answers to the correct degree of precision
 Calculate the greatest possible error
 Demonstrate measurement using calipers and micrometers
 Find the tolerance allowed for measurements
 Interpret scales to the degree of accuracy required in a particular situation
 Interpret circular scales
 Interpret uniform and nonuniform scales
 Demonstrate the use of the color codes in reading the value of electrical resistors
 Interpret graphs and charts
 Read data
 Interpret data
 Analyze data
 Create graphs/charts to depict given data
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