Dec 02, 2024  
2019-2020 Undergraduate Academic Catalog 
    
2019-2020 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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MA 127 - College Algebra II

4 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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