Real-number system; arithmetic operations with polynomials, special products and factoring; linear, fractional and quadratic equations; inequalities, exponents, radicals and absolute values; functions and graphs; and complex numbers, logarithms, logarithmic and exponential functions. Credit cannot be applied toward any Florida Tech degree except business, communication, humanities, management and psychology.
Upon completion of this course, students should be able to
- Plot points and equations and interpret information using the rectangular coordinate system. (This would include finding equations of lines, parallel lines, and perpendicular lines.)
- Solve linear and rational equations in one variable.
- Use mathematical equations to model real-life problems.
- Perform operations with real and complex numbers.
- Solve quadratic equations by factoring, completing the square, and by the quadratic formula.
- Solve radical equations, equations with rational exponents, and equations involving absolute value.
- Solve inequalities of the same types as in Objective 6.
- Use function notation and identify the domain and range.
- Perform operations on functions including finding the inverse and composition of two functions.
- Use properties and perform operations on logarithmic and exponential functions.
- Solve systems of linear equations in two or three variables.
- Perform partial fraction decomposition of rational expressions.
- Solve systems of inequalities and graph the solutions.
Lecture: Course Introduction
Lecture: Course Materials Required - Part 1
Lecture: Course Materials Required - Part 2
Lecture: Course Conclusion and Final Review
The course description, objectives and learning outcomes are subject to change without notice based on enhancements made to the course. March 2012