COURSE NUMBER AND TITLE: MATH 1101 Introduction to Mathematical Modeling

CREDIT HOURS: 3

CATALOG DESCRIPTION: An introduction to mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore real-world data and phenomena. Emphasis is on the use of elementary functions to investigate and analyze applied problems and questions, supported by the use of appropriate technology, and on effective communication of quantitative concepts and results. (Credit will not be awarded for both MATH 1101 and MATH 1111. Not recommended for students required to take MATH 1113 or MATH 1220.)

PREREQUISITE(S): Placement or the successful completion of MATH 0099

SUGGESTED TEXT: College Algebra Concepts and Models by Larson, Hostetler, and Hodgkins, 5th edition

COURSE OUTLINE:

• Review of exponents, radicals, polynomials, and factoring
• Scientific Notation
• Solving polynomial, absolute value, and radical equations algebraically, numerically, and by graphing
• Locating x- and y-intercepts algebraically, numerically, and by analyzing graphs
• Study of the verbal, numeric, algebraic, and visual representation of functions (Domain, Range, Piecewise-Defined, Horizontal Line Test, Vertical Line Test, Increasing and Decreasing, Maximums and Minimums, Composite, Inverse, Operations on Functions)
• Study of Exponential and Logarithmic Functions (Definition, Properties, Graphs, Applications)
• Solving linear systems of equations algebraically and using matrices.
• Regression models
• Applications in life sciences, business, chemistry, physics, consumer activity, geometry, interest rates, and U.S. demographics