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This course reviews and extends concepts from elementary algebra, and introduces new
content to prepare students for a variety of subsequent mathematics courses. Polynomial,
rational, radical, exponential and logarithmic expressions are simplified, equations solved
and functions graphed and studied; linear and nonlinear systems of equations and
inequalities; conic sections; sequence, series and the binomial theorem. Application
problems appear throughout the course.
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(90 hours lecture; Degree Apporpriate)
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Prerequisite:
MATH 51 - Elementary Algebra
or MATH 51B or qualifying score on current department placement test.
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Course Measurable Objectives:
- Solve linear equations and inequalities in one variable, including applications. Solve absolute value equations and inequalities. Find and interpret the slope of a line. Find the equation of a line given information about the line. Solve systems of linear equations in two and three variables. Analyze and solve applications.
- Interpret and analyze graphs; construct graphs; graph linear equations and linear inequalities, including systems.
- Use the rules for exponents to simplify expressions. Add, subtract, multiply and divide polynomials. Factor polynomials, and solve equations by factoring.
- Find domain of a rational expression. Write rational expressions in lowest terms; multiply and divide rational expressions; add and subtract rational expressions. Simplify complex fractions; solve rational equations and applications.
- Simplify radical expressions; solve radical equations and applications involving radicals.
- Solve quadratics by the square root principle, completing the square, and the quadratic formula; apply these techniques to other types of equations and to applications.
- Define a function and find the domain and range; find the inverse of a function. Perform operations with linear, quadratic, logarithmic and exponential functions; graph and solve applications of these functions. Identify and graph the conic sections. Solve nonlinear systems of equations.
- Solve problems involving sequences and series; apply the binomial theorem.
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