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Precalculus - MATH 1113

Description

This course is an intensive study of the basic functions needed for the study of calculus. Topics include algebraic, functional, and graphical techniques for solving problems with algebraic, exponential, logarithmic, and trigonometric functions and their inverses.


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After completing this course the student will be able to:

  • Identify the characteristics of various functions such as:
    • definition of a function
    • domain and range
    • average rate of change
    • algebraic combinations
    • composition
    • inverse functions
  • Sketch and analyze the graphs of algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions.
  • Set up and solve word problems using algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions.
  • Solve equations using algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions.
  • Demonstrate knowledge of the basic trigonometric identities and formulas.
  • Demonstrate knowledge of basic properties of logarithmic and exponentials functions.
  • Analyze when the use of technology is appropriate and when to apply the technology.
  • Unit 1 – Equations
  • Unit 2 – Functions
  • Unit 3 – Polynomial Functions
  • Unit 4 – Rational Functions
  • Unit 5 – Exponential and Logarithmic Functions
  • Unit 6 – Introduction to Trigonometric Functions
  • Unit 7 – Graphs of Trigonometric Functions and Inverse Trigonometric Functions
  • Unit 8 – Analytic Geometry
  • Unit 9 – Applications of Trigonometry

Your final grade will be based on the following breakdown. Please note that each instructor may choose to make modifications.

  • Participation/Discussion – 5%
  • Quizzes – 15%
  • Online Exams (4) – 40%
  • Proctored Midterm Exam – 20%
  • Proctored Final Exam – 20%

The use of a calculator is required for this course:
The information and instructions in this course are designed for and geared towards the Texas Instruments Calculator, TI-83. The calculator tutorial supplied in this course is designed around the TI-83. Support or help from your instructor will not be provided for any other calculator. Therefore, it is in your best interest to make your calculator purchase the TI-83.

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