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MTH 003 Developmental Mathematics III

This course is the third course in a modularized study of Arithmetic, Algebra, and possibly Intermediate Algebra (depending on program requirements) to prepare students for college-level mathematics courses. The material in Modules 1-4 are equivalent to MTH 011, 5-8 to MTH 021 and 9-12 to MTH 031. A minimum of four modules must be complete to earn a passing grade in this course, but students are encouraged to complete as many modules as possible until the prerequisites of their program requirements are met. Prerequisite: a grade of CD or higher in MTH 002. Three lecture hours and one CAI laboratory hour per week. Instructional Support Fee Applies. 3 credits Fall, Spring, Summer

3 credits

### Course Outcomes

Students who successfully complete this course will be able to: 1. Factor out the greatest common factor, factor trinomials of the form x^2+bx+c, perfect square trinomials, and the difference of two squares 2. Divide polynomials 3. Factor trinomials of the form ax^2+bx+c, square trinomials, factor the difference of the two squares and the sum and difference of two cubes, factor by grouping, factor the greatest common factor 4. Solve quadratic equations by factoring, including real-world applications 5. Simplify, and perform arithmetic operations on rational expressions 6. Solve systems of linear equations graphically, by substitution, by elimination, and using matrices; including real-world problem applications 7. Use set and interval notation 8. Solve linear inequalities in two variables, including real-world problem applications 9. Identify relations and functions, use the vertical line test to determine if an equation represents a function 10. Find the domain and range of a function graphically 11. Graph basic functions, and piece-wise defined functions 12. Understand translation and reflection of functions