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.
