# Math Courses

Covers basic operations of adding, subtracting, multiplying, dividing; powers and
roots with whole, fractional, and decimal numbers. Introduces adding, subtracting,
multiplying and dividing with signed numbers. Covers ratios/proportions and percents.
For students who need a firm foundation in math before pursuing academic objectives
and/or higher level math. Calculators not allowed. Prerequisites: appropriate ABE
or placement score.

An introductory course in applied mathematics for Industrial and Technical Programs
that covers arithmetic operations with signed numbers, fractions and decimals; measuring
methodology and unit conversion; and basic algebraic concepts including solving linear
equations and systems of equations. Course intended to prepare students for MATH 100T.

The course is designed for students transitioning between arithmetic and algebra.
Students will review arithmetic with real numbers, work with expressions containing
variables, solve linear equations, graph linear equations in two dimensions, calculate
slopes and intercepts for lines, and use unit analysis to solve applications. This
course prepares students for MATH 098. Prerequisites: "C" or better in MATH 090 or
appropriate placement score.

Topics include solving linear, quadratic (by factoring) and rational equations; solving
a linear system of equations; manipulating polynomials (adding, subtracting, multiplying
and dividing); and using exponent properties to simplify expressions. Students will
also graph linear equations in two variables, calculate slopes, and find linear functions.
Prerequisites: "C" or better in MATH 093 or appropriate placement recommendation.

Topics include: solving quadratic, absolute value, rational, radical, exponential
and logarithmic equations; graphing shifted quadratic and absolute value functions;
simplifying radical expressions, solving systems of linear inequalities; evaluating
logarithms; finding the vertex of a quadratic function. Prerequisites: a "C" or better
in MATH 098 or appropriate placement recommendation.

Applied mathematics course for allied health students. Interpreting and computing
dosages. Topics include fractions, percentages, measurement systems including time
and temperature, unit conversions, oral, parenteral, IV and pediatric dosages. Topics
from statistics and the TEAS test are also included. Not intended for students transferring
to a four-year college. Prerequisites: MATH 096 or MATH 098 with a "C" (2.0) or better
or appropriate placement score.

Applied course in mathematics for industrial fields. Topics include geometry and basic
trigonometry and their applications to industry. Not intended for student planning
to transfer to a four-year college. Prerequisites: MATH 092T or higher with a grade
of “C” or better or appropriate placement score.

A survey in mathematical topics focusing on topics such as growth, finance, and statistics
that are essential knowledge for an educated citizen. Students will build confidence
in mathematical reasoning relevant to a wide range of liberal arts and humanities
applications. Prerequisites: MATH 099 with a grade of "C" (2.0) or better or appropriate
placement score.

Functions in context of business, social science and economics. Applications are emphasized
including marginal analysis of cost, profit, revenue; break-even; supply and demand;
present and future values of annuities; quantities that grow or decay exponentially;
and data analysis to determine and use appropriate linear, polynomial, exponential,
and quadratic mathematical models. Prerequisites: MATH 099 with a grade of "C" or
better or appropriate placement score/criteria.

Functions and their graphs (including elementary, exponential and logarithmic functions,
and the conic sections) and their inverses in the context in which they are used in
calculus. Work with graphing calculators will be integrated into the course. Prerequisites:
MATH 099 with a "B" or better, MATH 140, or appropriate placement score.

Introduction to trigonometric functions as they relate to the unit circle and right
triangle. Graphs of the functions, applications, problem solving, identities, inverse
functions, complex numbers, vectors and analytic geometry including polar coordinates
and parametric equations. The basic concepts of sequences and series will be covered.
Prerequisites: MATH 141 or MATH& 141 with a grade of "C" or better or appropriate
placement score.

Fundamental concepts and applications of descriptive and inferential statistics. Includes
measures of central tendency and variability, statistical graphs, probability, the
normal distribution, hypothesis testing, confidence intervals, ANOVA testing and regression
analysis. Graphing calculator or statistical software techniques are used throughout
the course. Prerequisites: MATH 099 with a "C" (2.0) or better, or appropriate placement
score.

Differential and integral calculus designed for students majoring in business administration,
social sciences and other programs requiring a short course in calculus. Work with
graphing calculators will be integrated into the course. Prerequisites: MATH 140 or
MATH& 141 with "C" or better or appropriate placement score.

Introduction to limits, derivatives, higher-order derivatives and implicit differentiation.
Applications involving maximums and minimums, and related-rates. Analysis of graphs
of functions. Prerequisites: MATH& 142 with a "C" (2.0) or better or appropriate placement
score.

Definite and indefinite integrals, techniques of integration. Application of the integral
to areas, volumes and work problems. Derivatives and antiderivatives of the transcendental
functions. Prerequisite: MATH& 151 with a "C" or better or appropriate placement score.

More techniques and applications of integration. Parametric equations and polar coordinates,
vectors and vector-valued functions, infinite series and sequences. Prerequisite:
MATH& 152 with a grade of "C" (2.0) or better.

First of three math courses intended for elementary educators. Topics include number
theory, mathematical problem solving, real number systems, arithmetic operations and
functions. Other topics related to math instruction at the Pre-K-8 level will be included.
Hands-on activities are incorporated. Prerequisites: appropriate assessment score,
or a grade of "C" (2.0) or higher in MATH 099 or a college-level math class. Evidence
of competency in MATH 099 is required for this course to transfer.

Second of three math courses intended for elementary educators. Topics include two
dimensional geometric shapes and their properties, angle measures, areas and perimeters,
three dimensional figures, geometric construction, similar triangles, graphing in
the coordinate system, trigonometric functions and tessellations. Hands-on activities
are incorporated. Prerequisites: MATH& 171 with a grade of "C" (2.0) or better.

Third of three math courses intended for elementary educators. Topics include arithmetic
operations on real numbers as decimals and rational numbers; proportions; percents
and their applications; probability; counting; data analysis and descriptive statistics.
Hands-on activities are incorporated. Prerequisites: MATH& 171 with a grade of "C"
(2.0) or better or instructor permission.

Survey of the essential quantitative ideas and mathematical techniques used in decision
making in a diversity of disciplines. Includes systems of equations and matrices,
linear programming, finance, probability and its uses. Additional topics may be included.
Graphing calculators will be integrated into the course. Prerequisites: MATH 097 or
MATH 099 with a grade of "C" (2.0) or better or appropriate placement score.

Studies matrices, determinants, systems of equations, vector spaces including row,
column, null and nullspace of the transpose, orthogonality, inner product spaces,
least square solutions, eigenvalues/eigenvectors, transformation matrices, dynamical
systems and diagonalization. Geometrical understanding will be emphasized. Applications
in business, computer science and engineering and an introduction to proofs. Prerequisites:
MATH& 152 or instructor's signature.

Modeling with and solving of first- and higher-order ordinary differential equations,
systems of linear equations, Laplace Transforms and series solutions of linear differential
equations. Methods include numerical, qualitative and analytic approaches. The course
will include modeling applications in engineering, chemistry and population studies.
Prerequisites: MATH& 152 or instructor's signature.

Multivariable calculus, vector functions, vector fields, gradients, functions of several
variables, double and triple integrals in rectangular, polar, cylindrical, and spherical
coordinate systems, line and surface integrals, Green's Theorem, curl and divergence,
Divergence Theorem, Stokes' Theorem. Prerequisites: MATH &153 with a grade of "C"
(2.0) or better or appropriate placement score.