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math105 syllabus

Math 105: Applied College Algebra

Text: Applied College Algebra University of Louisiana Lafayette with Materials from Algebra: Form and Function, 2nd Edition, McCallum,Connally, and Hughes-Hallett, Wiley, 2015.

Prerequisites: ACT score of at least 21; or Placement in MATH 105 by the Mathematics Department Placement Exam.

WILEY PLUS is required. A TI-83 or TI-84 Graphics Calculator is required.

Sections and Topics

  • Basic Review
  • 1.1 What is a Function?
  • 1.2 Functions and Expressions
  • 1.3 Functions and Equations
  • 1.4 Functions and Change
  • 1.5 Functions, Modeling, and Proportionality
  • 2.1 Introduction to Linear Functions
  • 2.2 Linear Expressions
  • Worksheet 1
  • 2.3 Linear Equations
  • 2.4 Equations for Lines in the Plane
  • 2.6 Systems of Linear Equations
  • 3.1 Introduction to Quadratics
  • 3.2 Quadratic Expressions
  • 3.1 Introduction to Quadratics
  • 3.2 Quadratic Expressions
  • 3.3 Solving Linear Equations
  • 3.4 Equations for Lines in the Plane
  • 8.1 Polynomial Functions
  • 8.3 Solving Polynomial Equations
  • 8.4 Long-Run Behavior of Polynomial Functions
  • 4.1 Power Functions: Positive Exponents
  • 4.2 Power Functions: Negative and Fractional Exponents
  • 4.3 Power Functions and Expressions
  • 4.4 Power Functions and Equations
  • 4.5 Modeling with Power Functions
  • 5.1 Domain and Range
  • 5.2 Composing Functions (omit decomposing)
  • 5.3 Shifting and Scaling
  • 5.4 Inverse Functions
  • 6.1 Exponential Functions
  • 6.2 Exponential Expressions: Growth Rate
  • 6.3 Exponential Expressions: Half-Life and Doubling Time
  • 6.5 Modeling with Exponential Functions
  • 6.6 Exponential Functions and Base e
  • Worksheet 3
  • 7.1 Introduction to Logarithms
  • 7.2 Solving Equations using Logarithms
  • 7.3 Applications of Logarithms to Modeling
  • 7.4 Natural Logarithms and Other Bases
  • 9.1 Rational Functions

Last updated 10 August 2015