SACRED HEART UNIVERSITY
FAIRFIELD, CT  06825

MA 106 SYLLABUS

COLLEGE ALGEBRA

Textbook:  College Algebra 
      By M. Dugopolski; Addison Wesley, 4^th edition, 2007

PREREQUISITE:   Placement Exam or permission of the Department Chair

1.   Equations & Inequalities

  A.  Linear equations – applications & zeros
  B.  Complex Number System
  C.  Quadratic Equations  
     (1)  Factoring
     (2)  Completing the Square
     (3)  Quadratic formula
     (4)  Discriminant
     (5)  Analyzing Graphs of the Quadratic
  D.  Rational Equations
  E.  Absolute Value Equations
  F.  Linear Inequalities
     (1)  Compound inequalities
     (2)  Absolute Value Inequalities

2.   Functions & Graphs

  A. Functional Notation – domain & range, graphs
  B. Linear Functions
  C. Algebra of Functions
  D. Symmetry & Transformations

3.  Polynomial & Rational Functions

  A. Definition of a Polynomial
  B. Zeros of a Polynomial
  C. Finding Polynomials with given zeros
  D. Graphing Polynomials using the degree & zeros
  E. Rational Functions:  domain & asymptotes

4.  Exponential & Logarithmic Functions

  A. Inverse functions
  B. Exponential Functions
     (1)  Graphs
     (2)  Number “e”
  C.  Logarithmic Functions
     (1)  Converting between exponential & logarithmic equations
     (2)  Natural logarithms & Changing Bases
     (3)  Graphs
     (4)  Properties of Logarithms
  D. Applications

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