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Nov 22, 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 (3 classes)
• Algebraic expressions (5 classes)
• Factoring (2 classes)
• Linear equations and applications (3 classes)
• Quadratic equations (2 classes)
• Other equations (2 classes)
• Coordinate plane (3 classes)
• Functions (3 classes)
• Systems of linear equations (3 classes)
• Matrices (3 classes)
• Determinants (2 classes)
• Binomial Theorem (2 classes)
• Reviews and exams (7 classes)
Coordinator
Karl David
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