MTH 209 College Mathematics II

Course Description

This course continues the demonstration and examination of various basic algebra concepts that was begun in MTH 208: College Mathematics I. It assists in building skills for performing more complex mathematical operations and problem solving than in earlier courses. These concepts and skills should serve as a foundation for subsequent quantitative business coursework. Applications to real-world problems are emphasized throughout the course. Specific applications to disciplines such as statistics, accounting, finance, and economics are demonstrated and discussed. A variety of other applications, such as geometry, personal finance, science, and engineering, are also demonstrated and discussed.

Topics and Objectives

Exponents and Polynomials

· Discuss exponents and polynomials and their rules.

· Simplify algebraic expressions involving fractions and find special products of polynomials.

· Implement polynomials into real-life problems and discuss the relevant properties and operations of polynomials.

· Establish and discuss the use of a calculator to provide solutions to mathematical problems.

Factoring

· Factor different types of polynomials.

· Discuss the grouping approach to factoring.

· Solve quadratic equations by factoring.

· Establish algebra's relationship to quantitative business disciplines and other real-world situations.

Rational Expressions and Equations

· Discuss and expand on the concept of fractions.

· Discuss and establish procedures used with rational expressions.

· Establish algebra's relationship in using rational expressions to quantify business problems and other real-world situations.

Roots and Radicals

· Discuss the concept of roots and radical expressions.

· Discuss and establish the process of simplifying a square root expression.

· Develop an understanding of the use of a calculator to solve radical expressions.

Quadratic Equations

· Develop comprehension of mathematical concepts and the solving of quantitative problems.

· Define real numbers and all relevant properties and operations.

· Simplify algebraic expressions involving fractions, absolute values, factorials, radicals, and exponents.

· Solve linear and quadratic equations.