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Mathematics
MAT 110
Mathematical Measurement & Literacy
2
2
3
This course provides an activity-based approach that develops measurement skills and
mathematical literacy using technology to solve problems for non-math intensive
programs.
Topics include unit conversions and estimation within a variety of
measurement systems; ratio and proportion; basic geometric concepts; financial
literacy; and statistics including measures of central tendency, dispersion, and charting
of data. Upon completion, students should be able to demonstrate the use of
mathematics and technology to solve practical problems, and to analyze and
communicate results.
Competencies
Student Learning Outcomes:
1.
2.
3.
4.
5.
6.
7.
Demonstrate estimation skills and justify results
Use dimensional analysis to convert units of measurement.
Employ fractions, percentages and proportions to solve contextual problems.
Compute geometric measurements of perimeter, area, volume and angles.
Use technology to analyze and interpret elements of personal finance.
Compare and contrast measures of center and measures of dispersion.
Interpret tables, charts, and graphs and communicate results.
Prerequisites:
Placement Test Score or:
Take All: DMA 010, DMA 020, DMA 030
MAT 121
Algebra/Trigonometry I
2
2
3
This course provides an integrated approach to technology and the skills required to
manipulate, display, and interpret mathematical functions and formulas used in problem
solving. Topics include the properties of plane and solid geometry, area and volume,
and basic proportion applications; simplification, evaluation, and solving of algebraic
equations and inequalities and radical functions; complex numbers; right triangle
trigonometry; and systems of equations. Upon completion, students will be able to
demonstrate the ability to use mathematics and technology for problem-solving,
analyzing and communicating results.
Competencies
Student Learning Outcomes:
1. Use geometric principles to solve industrial application problems involving
perimeter, area, and volume.
2. Employ basic algebraic operations to simplify, evaluate, and solve proportions,
radical and other algebraic functions, equations, and inequalities.
3. Perform basic algebraic operations involving complex numbers.
4. Solve applied problems using trigonometric principles involving right triangles.
5. Solve applied problems using systems of equations involving two and three
variables.
6. Use technology to solve practical problems and communicate results.
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Prerequisites:
Placement Test Score or:
Take All: DMA 010, DMA 020, DMA 030, DMA 040, DMA 050,
DMA 060
MAT 122
Algebra/Trigonometry II
2
2
3
This course is designed to cover concepts in algebra, function analysis, and
trigonometry. Topics include exponential and logarithmic functions, transformations of
functions, Law of Sines, Law of Cosines, vectors, and statistics. Upon completion,
students should be able to demonstrate the ability to use mathematics and technology
for problem-solving, analyzing and communicating results.
Competencies
Student Learning Outcomes:
1. Solve relevant contextual problems involving exponential and logarithmic
functions.
2. Interpret and create transformations of functions.
3. Utilize the Law of Sines and Law of Cosines to solve oblique triangles and their
applications.
4. Define vectors and compute vector operations
5. Apply vector concepts to solve applications.
6. Employ basic statistical concepts to summarize and present data and draw
conclusions.
Prerequisites:
Take MAT 121
MAT 143
Quantitative Literacy
2
2
3
This course is designed to engage students in complex and realistic situations involving
the mathematical phenomena of quantity, change and relationship, and uncertainty
through project and activity-based assessment. Emphasis is placed on authentic
contexts which will introduce the concepts of numeracy, proportional reasoning,
dimensional analysis, rates of growth, personal finance, consumer statistics, practical
probabilities, and mathematics for citizenship. Upon completion, students should be
able to utilize quantitative information as consumers and to make personal,
professional, and civic decisions by decoding, interpreting, using, and communicating
quantitative information found in modern media and encountered in everyday life. This
course has been approved for transfer under the CAA as a general education course in
Mathematics (Quantitative). This course has been approved for transfer under the ICAA
as a general education course in Mathematics (Quantitative).
Competencies
Student Learning Outcomes:
1. Judge the reasonableness of results using estimation, logical processes, and a
proper understanding of quantity.
2. Utilize proportional reasoning to solve contextual problems and make
conversions involving various units of measurement.
3. Identify, interpret, and compare linear and exponential rates of growth to make
predictions and informed decisions based on data and graphs.
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4. Differentiate between simple and compound interest and analyze the long-term
effects of saving, investing, and borrowing.
5. Describe, analyze and interpret statistical information such as graphs, tables, and
summarized data to draw appropriate conclusions when presented with actual
statistical studies.
6. Determine probabilities and expected values and use them to asses risk and
make informed decisions.
7. Analyze civic and/or societal issues and critique decisions using relevant
mathematics.
Prerequisites:
Placement Test Score or:
Take All: DMA 010, DMA 020, DMA 030, DMA 040, DMA 050, and
DRE 098
MAT 152
Statistical Methods I
3
2
4
This course provides a project-based approach to introductory statistics with an
emphasis on using real-world data and statistical literacy. Topics include descriptive
statistics, correlation and regression, basic probability, discrete and continuous
probability distributions, confidence intervals and hypothesis testing. Upon completion,
students should be able to use appropriate technology to describe important
characteristics of a data set, draw inferences about a population from sample data, and
interpret and communicate results. This course has been approved for transfer under
the CAA as a general education course in Mathematics (Quantitative). This course has
been approved for transfer under the ICAA as a general education course in
Mathematics (Quantitative).
Competencies
Student Learning Outcomes:
1. Organize, display, calculate, and interpret descriptive statistics
2. Apply basic rules of probability
3. Identify and apply appropriate probability distributions
4. Perform regression analysis
5. Analyze sample data to draw inferences about a population parameter
6. Communicate results through a variety of media
Prerequisites:
Placement Test Scores or:
Take All: DMA 010, DMA 020, DMA 030, DMA 040, DMA 050,
DMA 060, DMA 070, DMA 080 and DRE 098
Or: Take MAT 143
MAT 155
Statistical Analysis
3
0
3
This course is an introduction to descriptive and inferential statistics. Topics include
sampling, distributions, plotting data, central tendency, dispersion, Central Limits
Theorem, confidence intervals, hypothesis testing, correlations, regressions, and
multinomial experiments. Upon completion, students should be able to describe data
and test inferences about populations using sample data. This course has been
approved for transfer under the CAA as a general education course in Mathematics
(Quantitative). This course has been approved for transfer under the ICAA as a general
education course in Mathematics (Quantitative).
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Prerequisites:
Placement Test Score or Take One Set:
Set 1: DMA 010, DMA 020, DMA 030, DMA 040, DMA 050, DMA
060, DMA 070, and DMA 080; RED 090 or DRE 098
Set 2: MAT 080 or higher; RED 090 or DRE 098
Corequisites:
MAT 155A
MAT 155A Statistical Analysis Lab
0
2
1
This course is a laboratory for MAT 155. Emphasis is placed on experiences that
enhance the materials presented in the class. Upon completion, students should be
able to solve problems, apply critical thinking, work in teams, and communicate
effectively. This course has been approved for transfer under the CAA as a general
education course in Mathematics (Quantitative). This course has been approved for
transfer under the ICAA as a general education course in Mathematics (Quantitative).
Corequisites:
MAT 155
MAT 171
Precalculus Algebra
3
2
4
This course is designed to develop topics which are fundamental to the study of
Calculus. Emphasis is placed on solving equations and inequalities, solving systems of
equations and inequalities, and analysis of functions (absolute value, radical,
polynomial, rational, exponential, and logarithmic) in multiple representations. Upon
completion, students should be able to select and use appropriate models and
techniques for finding solutions to algebra-related problems with and without
technology. This course has been approved for transfer under the CAA as a general
education course in Mathematics. This course has been approved for transfer under the
ICAA as a general education course in Mathematics.
Competencies
Student Learning Outcomes:
1. Use analytical, graphical, and numerical representations to solve absolute value,
radical, polynomial, rational, exponential, and logarithmic equations with both real
and complex solutions.
2. Use analytical, graphical, and numerical representations to solve absolute value,
polynomial and rational inequalities with real solutions.
3. Use analytical, graphical, and numerical representations to analyze absolute
value, radical, polynomial, rational, exponential and logarithmic functions with
both real and complex zeroes.
4. Use multiple methods to solve problems involving systems of equations and
apply to decomposing partial fractions.
5. Construct the composition and inverse of functions.
6. Use polynomial, exponential and logarithmic functions to model various real
world situations in order to analyze, draw conclusions, and make predictions.
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Prerequisites:
Placement Test Score or Take One Set:
Set 1: DMA 010, DMA 020, and DMA 030, DMA 040, DMA 050,
DMA 060, DMA 070, DMA 080
Set 2: MAT 121
MAT 172
Precalculus Trigonometry
3
2
4
This course is designed to develop an understanding of topics which are fundamental to
the study of Calculus. Emphasis is placed on the analysis of trigonometric functions in
multiple representations, right and oblique triangles, vectors, polar coordinates, conic
sections, and parametric equations. Upon completion, students should be able to select
and use appropriate models and techniques for finding solutions to trigonometry-related
problems with and without technology. This course has been approved for transfer
under the CAA as a general education course in Mathematics. This course has been
approved for transfer under the ICAA as a general education course in Mathematics.
Competencies
Student Learning Outcomes:
1. Use the unit circle and right triangle definitions to evaluate and graph
trigonometric functions and their inverses, to derive trigonometric identities, and to
simplify trigonometric expressions.
2. Use multiple methods to solve problems involving trigonometric equations, right
triangles, and oblique triangles.
3. Demonstrate knowledge of vector definitions and perform vector operations.
4. Convert equations and graphs between rectangular and polar coordinate
systems, and apply to complex numbers.
5. Use multiple representations to define, construct and analyze conic sections.
6. Create, graph, and analyze parametric equations.
Prerequisites:
MAT 171
MAT 175
Precalculus
4
0
4
This course provides an intense study of the topics which are fundamental to the study
of calculus. Emphasis is placed on functions and their graphs with special attention
to polynomial, rational, exponential, logarithmic and trigonometric functions, and
analytic trigonometry. Upon completion, students should be able to solve practical
problems and use appropriate models for analysis and prediction. This course has been
approved for transfer under the CAA as a general education course in Mathematics.
This course has been approved for transfer under the ICAA as a general education
course in Mathematics.
Prerequisites:
Placement Test Score or Take One Set:
Set 1: DMA 010, DMA 020, DMA 030, DMA 040, DMA 050,
DMA 060, DMA 070, and DMA 080; RED 090 or DRE 098
Set 2: MAT 080 or higher; RED 090 or DRE 098
Corequisite:
MAT 175A
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MAT 175A Precalculus Lab
0
2
1
This course is a laboratory for MAT 175. Emphasis is placed on experiences that
enhance the materials presented in the class. Upon completion, students should be
able to solve problems, apply critical thinking, work in teams, and communicate
effectively. This course has been approved for transfer under the CAA as a general
education course in Mathematics. This course has been approved for transfer under the
ICAA as a general education course in Mathematics.
Corequisites:
MAT 175
MAT 263
Brief Calculus
3
2
4
This course is designed to introduce concepts of differentiation and integration and their
applications to solving problems.
Topics include graphing, differentiation, and
integration with emphasis on applications drawn from business, economics, and
biological and behavioral sciences. Upon completion, students should be able to
demonstrate an understanding of the use of basic calculus and technology to solve
problems and to analyze and communicate results. This course has been approved for
transfer under the CAA as a general education course in Mathematics. This course has
been approved for transfer under the ICAA as a general education course in
Mathematics.
Competencies
Student Learning Outcomes:
1. Calculate limits and verify using graphical, numerical and analytical methods.
2. Interpret the derivative as a rate of change.
3. Analyze and interpret the derivative of algebraic, exponential, and logarithmic
functions.
4. Evaluate antiderivatives and definite integrals of algebraic, exponential, and
logarithmic functions.
5. Apply derivatives and integrals to business, economics, and biological and
behavioral sciences contexts.
6. Use appropriate technology and communicate results through a variety of media.
Prerequisites:
MAT 171
MAT 271
Calculus I
3
2
4
This course is designed to develop the topics of differential and integral calculus.
Emphasis is placed on limits, continuity, derivatives and integrals of algebraic and
transcendental functions of one variable. Upon completion, students should be able to
select and use appropriate models and techniques for finding solutions to derivativerelated problems with and without technology. This course has been approved for
transfer under the CAA as a general education course in Mathematics. This course has
been approved for transfer under the ICAA as a general education course in
Mathematics.
Competencies
Student Learning Outcomes:
1. Apply the definition of limit to evaluate limits by multiple methods and use it to
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derive the definition and rules for differentiation and integration.
2. Use derivatives to analyze and graph algebraic and transcendental functions.
3. Select and apply appropriate models and differentiation techniques to solve
problems involving algebraic and transcendental functions; these problems will
include but are not limited to applications involving optimization and related rates.
4. Apply the definition of indefinite integral to solve basic differential equations.
5. Apply the definition of definite integral to evaluate basic integrals.
6. Use the fundamental theorem of calculus to evaluate integrals involving algebraic
and transcendental functions.
Prerequisites:
Take: MAT 172
MAT 272
Calculus II
3
2
4
This course is designed to develop advanced topics of differential and integral calculus.
Emphasis is placed on the applications of definite integrals, techniques of integration,
indeterminate forms, improper integrals, infinite series, conic sections, parametric
equations, polar coordinates, and differential equations. Upon completion, students
should be able to select and use appropriate models and techniques for finding
solutions to integral-related problems with and without technology. This course has
been approved for transfer under the CAA as a general education course in
Mathematics. This course has been approved for transfer under the ICAA as a general
education course in Mathematics.
Competencies
Student Learning Outcomes:
1. Select and apply appropriate models and integration techniques to solve
problems involving algebraic and transcendental functions; these problems will
include but are not limited to applications involving volume, arc length, surface
area, centroids, force and work.
2. Evaluate proper and improper integrals using various integration techniques.
3. Analyze the convergence and divergence of infinite sequences and series and
find the Taylor and McLaurin representations for transcendental functions.
4. Use differentiation and integration to analyze the graphs of polar form equations
and parametric form equations.
5. Solve separable and first-order linear differential equations.
6. Analyze and graph conic sections using calculus techniques.
Prerequisites:
Take: MAT 271
MAT 273
Calculus III
3
2
4
This course is designed to develop the topics of multivariate calculus. Emphasis is
placed on multivariate functions, partial derivatives, multiple integration, solid analytical
geometry, vector valued functions, and line and surface integrals. Upon completion,
students should be able to select and use appropriate models and techniques for finding
the solution to multivariate-related problems with and without technology. This course
has been approved for transfer under the CAA as a general education course in
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Mathematics. This course has been approved for transfer under the ICAA as a general
education course in Mathematics.
Competencies
Student Learning Outcomes:
1. Perform operations with vectors in two and three dimensional space and apply to
analytic geometry.
2. Differentiate and integrate vector-valued functions and apply calculus to motion
problems in two and three dimensional space.
3. Determine the limits, derivatives, gradients, and integrals of multivariate
functions.
4. Solve problems in multiple integration using rectangular, cylindrical, and
spherical coordinate systems.
5. Select and apply appropriate models and techniques to define and evaluate line
and surface integrals; these techniques will include but are not limited to
Green’s, Divergence, and Stoke’s theorems.
6. Demonstrate proficiency in using CAS technology to analyze, solve and interpret
the various applications.
Prerequisites:
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Take MAT 272
Mathematics
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