Dec 02, 2023
MATH 1321 - Elementary Applied Mathematics I
Course provides a rigorous treatment of graphs, inverses, and algebraic operations of polynomial, rational, exponential and logarithmic functions, equations and inequalities and an introduction to linear systems, sequences and series. Intended, together with MATH 1322, to prepare students for MATH 2301 Calculus I. Students cannot keep credit for both MATH 1200 and MATH 1321 (first course taken deducted). No credit if the student has credit for MATH 2301, 2302, or higher than 2500.
Requisites: C or better in MATH D005 or MATH 102 or MATH D004 or Math Placement Level 1 or higher WARNING: No credit for this course and MATH 1200 (first course taken deducted) No credit if the student has credit for MATH 2301, 2302, or higher than 2500.
Credit Hours: 3
General Education Code: 1M
Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.
Lecture/Lab Hours: 3.0 lecture
Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
Course Transferability: OTM Course: TMM002 Pre-Calculus
College Credit Plus: Level 1
- 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.
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