
MAT 773  Applied Math II Credits: 3 Lecture Hours: 3 Lab Hours: 0 Practicum Hours: 0 Work Experience: 0 Course Type: Voc/Tech A course in algebra and trigonometry for technicians. Topics covered include polynomials, equations, systems of linear equations, factoring, quadratic equations, trigonometry, powers, roots and logarithms. Prerequisite: Minimum ALEKS scores of 30% or MAT 063 with a C or better. Competencies
 Perform fundamental algebraic operations with polynomials
 Find the sum of 2 polynomials
 Find the difference of 2 polynomials
 Find the product of 2 polynomials
 Find the quotient of 2 polynomials
 Use order of operations to evaluate expressions
 Simplify an expression
 Calculate the value of an expression with exponents
 Calculate radicals involving perfect squares and other numbers
 Solve algebraic equations having variables in both members, parentheses, and fractions
 Translate phrases and sentences written in words into algebraic form
 Solve linear equations involving one step transformations using the addition property of equality
 Solve linear equations including one step transformations using the multiplication property of equality
 Solve linear equations involving two transformations
 Solve linear equations for one variable in terms of other variables
 Evaluate a literal equation given the other variables’ values
 Use an equation to solve a given word problem
 Solve linear systems by graphing, addition, and substitution
 Plot a given ordered pair of numbers on a graph
 Name the coordinates given a point on a graph
 Determine ordered pairs which satisfy a given linear equation
 Graph a linear equation on a coordinate plane
 Recognize parallel, intersecting, and coinciding lines when given systems of 2 simultaneous equations
 Solve system of equations by graphing method
 Solve system of equations by elimination method
 Solve system of equations by substitution method
 Factor algebraic expressions including general trinomial
 Remove the greatest common monomial factor
 Factor a trinomial which is the product of 2 binomials
 Factor a binomial which is the difference of 2 squares
 Factor polynomials completely
 Solve quadratic equations by factoring, the quadratic formula, and graphing
 Use factoring to solve quadratic equations
 Use the quadratic formula to solve quadratic equations
 Use graphing to solve quadratic equations
 Write models for verbal problems that produce quadratic equations
 Solve models
 Use geometric concepts and formulas to solve problems
 Use the Pythagorean Theorem
 Use similarity in solving applied problems
 Demonstrate the relationships between central angles, arcs, and inscribed angles
 Explain the intersection of lines and circles
 Calculate the angles formed by circles and lines
 Calculate the measure of an angle in both degrees and radians
 Calculate the area and volume of plane figures
 Calculate the lateral surface area, total surface area, and volume of geometric solids (prisms, cylinders, pyramids, cones, and spheres)
 Use trigonometric ratios to find sides and angles of right triangles
 Define the 6 basic trig ratios in relation to a right triangle
 Use trigonometric ratios to find angles of a right triangle
 Use trigonometric ratios to find sides of a right triangle
 Use trigonometric ratios to solve given applied problems
 Graph sine and cosine functions
 Define the components of a graph
 Graph the functions showing the components (amplitude, period, and phrase shift).
 Solve oblique triangles
 Solve for missing parts of a triangle by Law of Sines
 Solve for missing parts of a triangle by Law of Cosines
 Show the ambiguous case involving Law of Sines
 Solve the ambiguous case
 Use trig area formula. (K=1/2 ab sin C)
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