MAT – Mathematics

All courses are alphabetized by course code. All courses are to be pursued in a normal sequence with prerequisite courses taken as indicated. Provided for each course is the following information: course number and title; number of class, laboratory, clinical/shop/work experience (if any), and credit hours; and the semester in which the course is offered - FA (Fall), SP (Spring), and SU (Summer).


MAT-110 Math Measurement & Literacy (2 2 0 3) — Fall, Spring, Summer

State prerequisites: Take one set — or Set 1: DMA-010, DMA-020, and DMA-030;  Set 2: DMA-025; or Set 3: MAT-003

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. (FA, SP, SU).
 

Competencies
Student Learning Outcomes
  • 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.

National ID (CIP) 27.0101 Mathematics, General. MAT-003 is only to be utilized by RISE pilot colleges.


MAT-121 Algebra/Trigonometry I (2 2 0 3) — Spring

State prerequisites: Take one set — Set 1: DMA-010, DMA-020, DMA-030, DMA-040, DMA-050, and DMA-060; or Set 2: DMA-010, DMA-020, DMA-030, DMA-045, and DMA-060; or Set 3: DMA-025, DMA-040, DMA-050, and DMA-060; Set 4: DMA-025, DMA-045, and DMA-060; Set 5:  MAT-003

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. (SP).
 

Competencies
Student Learning Outcomes
  • Use geometric principles to solve industrial application problems involving perimeter, area, and volume.
  • Employ basic algebraic operations to simplify, evaluate, and solve proportions, radical and other algebraic functions, equations, and inequalities.
  • Perform basic algebraic operations involving complex numbers.
  • Solve applied problems using trigonometric principles involving right triangles.
  • Solve applied problems using systems of equations involving two and three variables.
  • Use technology to solve practical problems and communicate results.

National ID (CIP) 27.0101 Mathematics, General. MAT-003 is only to be utilized by RISE colleges.


MAT-143 Quantitative Literacy (2 2 0 3) — Fall, Spring

State prerequisites: Take one set — Set 1: DMA-010, DMA-020, DMA-030, DMA-040, DMA-050, and DRE-098; or Set 2: DMA-010, DMA-020, DMA-030, DMA-045, and DRE-098; or Set 3: DMA-025, DMA-040, DMA-050, and DRE-098; or Set 4: DMA-025, DMA-045, and DRE-098; Set 5: MAT-003 and ENG-002; Set 6: MAT-003 and ENG-111; Set 7: MAT-003 and DRE-098; Set 8: DMA-010, AMD-020, DMA-030, DMA-040, DMA-050, and ENG-002; Set 9: DMA-010, DMA-020, DMA-030, DMA-045, and ENG-002

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). (FA and SP).
 

Competencies
Student Learning Outcomes
  • Judge the reasonableness of results using estimation, logical processes, and a proper understanding of quantity.
  • Utilize proportional reasoning to solve contextual problems and make conversions involving various units of measurement.
  • Identify, interpret, and compare linear and exponential rates of growth to make predictions and informed decisions based on data and graphs.
  • Differentiate between simple and compound interest and analyze the long-term effects of saving, investing, and borrowing.
  • Describe, analyze, and interpret statistical information such as graphs, tables, and summarized data to draw appropriate conclusions when presented with actual statistical studies.
  • Determine probabilities and expected values and use them to assess risk and make informed decisions.
  • Analyze civic and/or societal issues and critique decisions using relevant mathematics.

National ID (CIP) 27.0101 Mathematics, General. MAT-003 and ENG-002 are only to be utilized by RISE colleges.
This is a Universal General Education Transfer Component (UGETC) course. [SBCC/BOG 02/21/14]


MAT-152 Statistical Methods I (3 2 0 4) — Fall, Spring

State prerequisites: Take one set — Set 1: DMA-010, DMA-020, DMA-030, DMA-040, DMA-050, and DRE-098; or Set 2: DMA-010, DMA-020, DMA-030, DMA-045, and DRE-098; or Set 3: DMA-025, DMA-040, DMA-050, and DRE-098; or Set 4: DMA-025, DMA-045, and DRE-098; Set 5: MAT-003 and ENG-002; Set 6: MAT-003 and ENG-111; Set 7: MAT-003 and DRE-098; Set 8: DMA-010, AMD-020, DMA-030, DMA-040, DMA-050 and ENG-002; Set 9:  DMA-010, DMA-020, DMA-030, DMA-045 and ENG-002; Set 10: DMA-025, DMA-040, DMA-050, and ENG-002; Set 11: DMA-025, DMA-045 and ENG-002

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). (FA and SP).
 

Competencies
Student Learning Outcomes
  • Organize, display, calculate, and interpret descriptive statistics.
  • Apply basic rules of probability.
  • Identify and apply appropriate probability distributions.
  • Perform regression analysis.
  • Analyze sample data to draw inferences about a population parameter.
  • Communicate results through a variety of media.

National ID (CIP) 27.0501 Statistics, General. MAT-003 and ENG-002 are only to be utilized by RISE colleges.
This is a Universal General Education Transfer Component (UGETC) course. [SBCC/BOG 02/21/14]


MAT-171 Precalculus Algebra (3 2 0 4) — Fall

State prerequisites: Take one set — Set 1: DMA-010, DMA-020, DMA-030, DMA-040, DMA-050, DMA-060, DMA-070, and DMA-080; or Set 2: DMA-010, DMA-020, DMA-030, DMA-040, DMA-050, and DMA-065; or Set 3: DMA-010, DMA-020, DMA-030, DMA-045, DMA-060, DMA-070, and DMA-080; or Set 4: DMA-010, DMA-020, DMA-030, DMA-045, and DMA-065; or Set 5: DMA-025, DMA-040, DMA-050, DMA-060, DMA-070, and DMA-080; or Set 6: DMA-025, DMA-040, DMA-050, and DMA-065; or Set 7: DMA-025, DMA-045, DMA-060, DMA-070, and DMA-080; or Set 8: DMA-025, DMA-045, and DMA-065; or Set 9: MAT-121; or Set 10: MAT-003

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. (FA).
 

Competencies
Student Learning Outcomes
  • Use analytical, graphical, and numerical representations to solve absolute value, radical, polynomial, rational, exponential, and logarithmic equations with both real and complex solutions.
  • Use analytical, graphical, and numerical representations to solve absolute value, polynomial, and rational inequalities with real solutions.
  • Use analytical, graphical, and numerical representations to analyze absolute value, radical, polynomial, rational, exponential, and logarithmic functions with both real and complex zeros.
  • Use multiple methods to solve problems involving systems of equations and apply to decomposing partial fractions.
  • Construct the composition and inverse of functions.
  • Use polynomial, exponential and logarithmic functions to model various real world situations in order to analyze, draw conclusions, and make predictions.

National ID (CIP) 27.0102 Algebra and Number Theory. The student is eligible for this course if MAT-003 is in the student's record with a demonstrated mastery level of Tier 2. Local Prequesites: Set 6: MAT-143, Set 7: MAT-152. MAT-003 is only to be utilized by RISE colleges.
This is a Universal General Education Transfer Component (UGETC) course. [SBCC/BOG 02/21/14]


MAT-172 Precalculus Trigonometry (3 2 0 4) — Spring

State prerequisite: Take MAT-171

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. (SP only).
 

Competencies
Student Learning Outcomes
  • 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.
  • Use multiple methods to solve problems involving trigonometric equations, right triangles, and oblique triangles.
  • Demonstrate knowledge of vector definitions and perform vector operations.
  • Convert equations and graphs between rectangular and polar coordinate systems, and apply to complex numbers.
  • Use multiple representations to define, construct and analyze conic sections.
  • Create, graph, and analyze parametric equations.

National ID (CIP) 27.0101 Mathematics, General.
This is a Universal General Education Transfer Component (UGETC) course. [SBCC/BOG 02/21/14]


MAT-263 Brief Calculus (3 2 0 4)  Spring

State prerequisite: Take MAT-171

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. (SP).

Competencies
Student Learning Outcomes
  • Calculate limits and verify using graphical, numerical and analytical methods.
  • Interpret the derivative as a rate of change.
  • Analyze and interpret the derivative of algebraic, exponential, and logarithmic functions.
  • Evaluate antiderivatives and definite integrals of algebraic, exponential, and logarithmic functions.
  • Apply derivatives and integrals to business, economics, and biological and behavioral sciences contexts.
  • Use appropriate technology and communicate results through a variety of media.

National ID (CIP) 27.0101 Mathematics, General.
This is a Universal General Education Transfer Component (UGETC) course. [SBCC/BOG 02/21/14]


MAT-271 Calculus I (3 2 0 4) — Fall

State prerequisite: Take MAT-172

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 derivative-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. (FA).
 

Competencies
Student Learning Outcomes
  • Apply the definition of limit to evaluate limits by multiple methods and use it to derive the definition and rules for differentiation and integration.
  • Use derivatives to analyze and graph algebraic and transcendental functions.
  • 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.
  • Apply the definition of indefinite integral to solve basic differential equations.
  • Apply the definition of definite integral to evaluate basic integrals.
  • Use the fundamental theorem of calculus to evaluate integrals involving algebraic and transcendental functions.

National ID (CIP) 27.0101 Mathematics, General.
This is a Universal General Education Transfer Component (UGETC) course. [SBCC/BOG 02/21/14]


MAT-272 Calculus II (3 2 0 4) — Spring

State prerequisite: Take MAT-271

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. (SP).
 

Competencies
Student Learning Outcomes
  • 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.
  • Evaluate proper and improper integrals using various integration techniques.
  • Analyze the convergence and divergence of infinite sequences and series and find the Taylor and McLaurin representations for transcendental functions.
  • Use differentiation and integration to analyze the graphs of polar form equations and parametric form equations.
  • Solve separable and first-order linear differential equations.
  • Analyze and graph conic sections using calculus techniques.

National ID (CIP) 27.0101 Mathematics, General.
The Transfer Advisory Committee changed the status of this course from General Education: Math/AS to Universal General Education Transfer Component (UGETC): Math/AS on December 2, 2015.