MTH209 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
- Identify a term, coefficient, factor, base, and exponent in an algebraic expression.
- Simplify expressions involving terms, coefficients, factors, bases, and exponents.
- Use the order of operations in algebraic expressions.
- Simplify polynomials.
- Demonstrate the distributive property for polynomials.
- Perform operations on polynomials using addition, subtraction, multiplication, and division.
- Apply scientific notation to real-world situations.
Factoring Polynomials
- Demonstrate that factoring a polynomial is the reverse of multiplying a polynomial.
- Use Greatest Common Factor (GCF) to factor monomials out of quadratic trinomials.
- Factor single-variable polynomials by grouping.
- Factor quadratic trinomials.
- Factor multivariate polynomials by grouping.
- Factor differences of squares.
- Factor complete squares.
- Apply the Pythagorean Theorem to real-life problems.
- Solve quadratic equations using the zero factor property.
Rational Expressions and Equations
- Identify rational expressions.
- Identify restrictions on the variable in the denominator of a rational expression.
- Simplify rational expressions.
- Determine the least-common denominator (LCD) to combine rational expressions.
- Perform operations on rational expressions.
- Solve rational equations.
- Apply rational equations and proportions to real-life problems.
Radical Expressions, Radical Equations, and the Quadratic Formula
- Simplify radical expressions.
- Perform operations with radical expressions.
- Solve radical equations.
- Solve a quadratic equation using the quadratic formula.
- Determine the number of solutions for a quadratic equation by using the discriminant.
- Solve word problems using quadratic equations.
Algebra Review
- Review all topics and objectives from Weeks One through Four.
Request Information
or you can call us