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Dec 02, 2024
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MA 127 - College Algebra II4 lecture hours 0 lab hours 4 credits Course Description This course provides a review or introduction to more advanced algebra. Topics covered include exponents and radicals; solving linear, quadratic and selected radical and polynomial equations; an introduction to analytic geometry; the function concept and terminology; determinants, matrices and systems of linear equations; the binomial theorem. (prereq: MA 125 or equivalent) Course Learning Outcomes Upon successful completion of this course, the student will be able to:
- Simplify expressions containing exponents and radicals
- Perform the four fundamental operations with radicals
- Represent complex numbers as vectors
- Perform the four fundamental operations with complex numbers in rectangular form
- Solve linear and quadratic equations
- Convert a given complex number from rectangular to polar form and vice versa
- Multiply and divide complex numbers in polar form
- Use De Moivre’s formula to find powers and roots of complex numbers
- Solve systems of quadratic equations algebraically
- Solve radical equations and equations in quadratic form
- Use synthetic division to find roots of polynomial equations
- Use the properties of determinants to evaluate a determinant of arbitrary order
- Solve linear systems by Cramer’s Rule
- Perform algebraic operations with matrices
- Use row operations to find the inverse of a given matrix and solve a given system of equations
- Use the binomial theorem to expand a given binomial
- Use the distance and midpoint formulas
- Find equations of lines
Prerequisites by Topic
- Fundamental algebraic operations
- Special products and factoring
- Operations with algebraic functions
- Quadratic equations
- Basic concepts of trigonometry
Course Topics
- Exponents and radicals
- Algebraic expressions
- Factoring
- Linear equations and applications
- Quadratic equations
- Other equations
- Coordinate plane
- Functions
- Systems of linear equations
- Matrices
- Determinants
- Binomial Theorem
Coordinator Dr. Bruce O’Neill
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