College Mathematics II – mth209 (3 credits)
This course continues the demonstration and examination of various 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.
Rational and Radical Expressions
- Solve proportion and variation problems.
- Perform operations on rational expressions.
- Solve rational equations and formulas.
- Simplify radical expressions.
- Solve problems involving radical expressions.
- Factor polynomials using the Greatest Common Factor.
- Factor trinomial expressions of the form x2 + bx +c.
- Factor trinomial expressions of the form ax2 + bx +c.
- Factor polynomial expressions using special products.
- Perform polynomial operations.
- Use polynomials in real-world applications.
- Use the distribution property with polynomials.
- Simplify polynomials.
Quadratic Equations and Functions
- Identify the domain and range of a function.
- Identify polynomial, rational, radical, and quadratic functions.
- Perform operations on functions.
- Solve quadratic equations.
- Apply nonlinear equations to real-world problems.
Nonlinear Functions, Sequences, and Series
- Use composite functions.
- Use inverse functions.
- Use logarithmic functions.
- Use arithmetic and geometric sequences and series.
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