Course Description

Catapult for MATH 2250.

This 4-credit hours course offers a review of selected topics from pre-calculus together with problem-solving techniques to prepare students to be successful in Math 2250 (Calculus I). Topics include solving a variety of equations, function notation, describing the behavior of a function from its formula or graph, performing transformations on common graphs, performing operations on functions including composition, a review of specific types of functions and their properties, finding and simplifying a difference quotient, solving multiple step application problems, and an introduction to limits and piecewise functions.

Course Learning Objectives

Upon successful completion of this course, students will be able to:

  • Solve multiple types of equations using algebraic manipulation.
  • Review the graphs of the common functions and their transformations including the graphs of the six trigonometric functions.
  • Use a function’s graph to:
    • Identify intervals where the function is increasing or decreasing
    • Identify extrema
    • Determine limits
    • Identify points of continuity/discontinuity
    • Identify asymptotes
    • Given a function determine its domain, x and y intercepts, asymptotes, and find its difference quotient.
    • Perform operations on functions including composition.
    • Have a good understanding of the graphs and properties of linear, quadratic, exponential, logarithmic, polynomial, and rational functions.
    • Set up solve multiple step application problems and rewrite a function in terms of one variable given a constraint.
    • Find limits of functions from a graph including piecewise functions.

Course Syllabi

Coming soon for Fall 2024 and Spring 2025.

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