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Aug 31, 2024
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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 real-world 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 real-world 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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