MATH 1321 - Elementary Applied Mathematics I

• Students will be able to analyze the algebraic structure and graph of functions to determine intercepts, domain, range, aymptotes, where the function has symmetry (even/odd), etc.
• Students will be able to analyze functions and their graphs to determine intervals on which the function is increasing, decreasing or constant, the vertex of a quadratic function.
• Students will be able to determine algebraically and graphically whether the graph of an equation exhibits symmetry.
• Students will be able to determine whether an algebraic relation or given graph define a function.
• Students will be able to find inverses of functions listed in the first outcome and understand the relationship of the graph of a function to that of its inverse. Students will use the Remainder and Factor Theorems for polynomial functions.
• Students will be able to identify and express the general term of arithmetic and geometric sequences, and find the sum of arithmetic and geometric series.
• Students will be able to perform transformations of functions including translations, reflections and stretching and shrinking. Perform operations with functions: addition, subtraction, multiplication, division and composition.
• Students will be able to represent functions verbally, numerically, graphically & algebraically, including polynomial, rational, root/radical/power, piecewise-defined, exponential, and logarithmic functions.
• Students will be able to apply knowledge of sequences/series to represent sequences verbally, numerically, graphically and algebraically, including both the general term and recursively.
• Students will be able to solve a system of linear equations graphically and algebraically by substitution and elimination, & solve application problems that involve systems of linear equations.
• Students will be able to solve polynomial and rational inequalities graphically and algebraically.
• Students will be able to solve a variety of equations, including polynomial, rational, exponential, and logarithmic, including equations arising in application problems.
• Students will be able to understand the average rate of change of the graph of a function or equation on an interval.
• Students will be able to understand the difference between an algebraic equation and a function, and the relationship among the solutions of an equation in one variable, the zeros of the corresponding function, and the coordinates of the x-intercept.
• Students will be able to use functions to model a variety of real-world problem solving applications.
• Students will be able to write series in summation notation, and represent sequences of partial sums verbally, numerically and graphically.