Jul 02, 2024  
2017-2018 Undergraduate Catalog 
    
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2017-2018 Undergraduate Catalog [ARCHIVED CATALOG]

Course Information

Catalog Course Definitions 

Core - Course is approved for specific core curriculum (i.e. arts and sciences curriculum; quantitative reasoning and mathematical skills)

Cross-Listed – Class that is offered along with another class that has the same topic, title, and course content.  Max Hours displayed for each cross-listed class is the total number of hours allowed for all courses completed within a particular cross-listed group. See below for more information on Max Hours.

Gt - Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer as part of the gtPathways program. 

Max Hours (in Course Description) - Total number of applicable credit hours that count toward a student’s degree for a particular course or cross-listed group.

Requisite: 

  • Prerequisite -  Specific course completed or “in progress” (i.e. ENGL 1020 or ENGL 1020 with C- or higher)
  • Corequisite – Specific course taken at the same time (i.e. BIOL 2071 taken same time as BIOL 2051)
  • Restriction – Restricted to a specific population (i.e. Restricted to MUSC majors or junior standing, etc.)

Course Number Definitions:

  • 1000 - 4999 Undergraduate Level
  • 5000 - 9999 Graduate Level
 

Marketing
  

  • MKTG 6830 - Marketing & Global Sustainability


    Marketing & Global Sustainability focuses on the role of marketing in sustainable for-profit and not-for-profit companies from a global perspective. The course examines sustainable business practices and trends; green brands, green labels, and greenwashing; socially-conscious and “green” customer segments; innovating for sustainable new products and services; sustainable retailing and supply chains; and sustainability as a competitive advantage. The course will employ a variety of pedagogical techniques including lectures, discussion, guest speakers, case studies, and projects. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MKTG 6840 - Independent Study


    Allowed only under special and unusual circumstances. Regularly scheduled courses cannot be taken as independent study. Prereq: Permission of instructor. Max hours: 8 Credits. Semester Hours: 1 to 8

Master of Integrated Sciences
  

  • MINS 5000 - Topics


    With prior approval by a candidate’s advisor, an MIS candidate may enroll in an upper division course in science, computer science, mathematics, and complete additional work for graduate credit. Prereq: MIS candidate with 12 hours of upper division (4000 level) or graduate level work completed. Max hours: 8 Credits. Semester Hours: 3 to 4
  

  • MINS 5840 - Independent Study


    Note: Students must submit a special processing form completely filled out and signed by the student and faculty member, describing the course expectations, assignments and outcomes, to the Graduate School for approval. Max hours: 3 Credits. Semester Hours: 1 to 3
  

  • MINS 5939 - Internship


    Note: Students must submit a special processing form completely filled out and signed by the student and faculty member, describing the course expectations, assignments and outcomes, to the Graduate School for approval. Max hours: 3 Credits. Semester Hours: 1 to 3
  

  • MINS 5950 - Master’s Thesis


    Note: Students must submit a special processing form completely filled out and signed by the student and faculty member, describing the course expectations, assignments and outcomes, to the Graduate School for approval. Prereq: advisor approval. Max hours: 6 Credits. Semester Hours: 1 to 6
  

  • MINS 5960 - Master’s Project


    Note: Students must submit a special processing form completely filled out and signed by the student and faculty member, describing the course expectations, assignments and outcomes, to the Graduate School for approval. Prereq: advisor approval. Max hours: 8 Credits. Semester Hours: 1 to 4

Math Content Knowledge for Ed
  

  • MCKE 3041 - Number and Operation


    First of three courses designed for prospective elementary teachers. Emphasis placed on the real number system and arithmetic operations. Explorations focus on place value, additive and multiplicative reasoning, the division algorithm and rational numbers. Content presented using problem solving and exploration. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MCKE 3042 - Algebra, Probability and Data Analysis


    Second of three courses designed for prospective elementary teachers. Emphasis placed on algebra, probability, and data analysis. Explorations focus on representing, analyzing, generalizing, formalizing, and communicating patterns and probabilities. Content presented using problem solving and exploration. Note: This course assumes that students have taken MCKE 3041. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MCKE 3043 - Geometry and Measurement


    Third of three courses designed for prospective elementary teachers. Emphasis placed on developing spatial reasoning skills in geometry and measurement. Explorations focus on two- and three-dimensional shapes, their properties, measurements, constructions, and transformations. Note: This course assumes that students have taken MCKE 3041. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MCKE 4880 - Directed Research


    Students will engage in original research projects supervised and mentored by faculty. Students must work with faculty prior to registration to develop a proposal for their project and receive permission to take this course. Max hours: 6 Credits. Semester Hours: 1 to 6
  

  • MCKE 5000 - Algebraic Patterns and Functions I


    Systematic study of the core elements of algebra: linear, quadratic, exponential, logarithmic functions and their graphs. Includes modeling using graphing calculators and real world applications. Concepts are linked to other scientific, mathematical, and pedagogical domains. This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Prereq: permission of project director. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MCKE 5002 - Algebraic Patterns and Functions II


    This course is a continuation of the material covered in MATH 5000. Topics that will be covered include logarithmic, exponential and trigonometric functions and applications, parametric equations, systems of equations and inequalities, matrices and linear programming. This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Note: this course assumes that students have completed MATH 5000 or equivalent. Prereq: Graduate standing. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MCKE 5004 - Statistics and Probability


    Studies the collection, presentation, and analysis of data; and elements and applications of counting discrete probability. Includes real world applications and technology. Concepts are linked to other scientific, mathematical, and pedagogical domains. This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Prereq: permission of project director. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MCKE 5005 - Geometry


    Systematic study of advanced geometric concepts: history of geometry and measurement, patterns among shapes, 2- and 3-dimensional shapes, constructions, symmetry or transformational geometry. Includes applications and activity-oriented instruction. Concepts are linked to other scientific, mathematical, and pedagogical domains. This course is not applicable toward any degree in the College of Liberal and Sciences. Prereq: permission of project director. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MCKE 5006 - Mathematics of Change


    Systematic study of the application of calculus to the analysis of changing systems in real world applications. Emphasizes the connections that exist between calculus and aspects of middle school curricula. Concepts are linked to other scientific, mathematical, and pedagogical domains. This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Note: this course assumes that students have completed MATH 5000 or equivalent. Prereq: Graduate standing. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MCKE 5007 - Discrete Math–Counting the Possibilities


    Systematic study of basic techniques in discrete mathematics and their various applications: permutations and combinations, inclusion or exclusion, pigeonhole principle, graph theory, and recursive pattern solving. Applications to topics such as network analysis and voting theory are stressed. Concepts are linked to other scientific, mathematical, pedagogical domains. This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Note: this course assumes that students have completed MATH 5000 or equivalent. Prereq: Graduate standing. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MCKE 5008 - Discovery and Use of the History of Math


    Systematic study of the people, events, ideas and issues from the history of mathematics, focusing on historical topics that are central to the discipline and teaching of mathematics and emphasizing web research of historical topics of interest. Concepts are linked to other scientific, mathematical, and pedagogical domains. Note: This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Prereq: permission of the project director. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MCKE 5009 - Math Modeling–Using and Applying Math


    Systematic study of math modeling using algebra, geometry, discrete mathematics, rates of change, and statistics to solve real-world problems in areas such as finance, biology, economics, and physics. Concepts are linked to other scientific, mathematical, societal, and pedagogical domains. This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Note: this course assumes that students have completed MATH 5009 or equivalent. Prereq: Graduate standing. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MCKE 5011 - Mathematics and Science of Musical Instruments


    A mathematical modeling course which investigates the mathematics and physics behind musical instruments while providing a deeper understanding of trigonometry and elementary calculus concepts. Note: This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Note: this course assumes that students have completed MATH 5000 and MATH 5002 or equivalent. Prereq: Graduate standing. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MCKE 5018 - Topics in Mathematics Education for Teachers


    Topics vary from semester to semester. Designed for professional mathematics teachers. This course will not count towards a degree in Applied Mathematics. Consent of the instructor required for enrollment. Max hours: 50 Credits. Semester Hours: 0 to 50
  

  • MCKE 5140 - Introduction to Modern Algebra


    Studies the fundamental algebraic structures used in modern mathematics. Topics include groups, rings, fields, and polynomials. Note: This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Note: this course assumes that students have completed MATH 3000 or equivalent. Prereq: Graduate standing. Cross-listed with MATH 4140. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MCKE 5210 - Higher Geometry I


    Studies the foundations of modern geometry by examining axiomatic systems for various geometrics, with an emphasis on non-Euclidean hyperbolic geometry. Note: This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Note: this course assumes that students have completed MATH 3000 or equivalent. Prereq: Graduate standing. Cross-listed with MATH 3210. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MCKE 5250 - Problem Solving Tools


    Students learn and refine both problem solving techniques and computer programming skills. Examples, exercises, and projects are taken from a wide range of mathematical topics including algebra, calculus, linear algebra and probability. Note: This course will not count toward a graduate degree in applied mathematics. Prereq: Graduate standing in Applied Mathematics or permission of the instructor. Note: This course assumes that students have mathematical knowledge equivalent to three semesters of calculus (e.g., MATH 1401, 2411, 2421). This course can be taken concurrently with MATH 2421. Cross-listed with MATH 3250. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MCKE 5310 - Introduction to Real Analysis I


    Calculus of one variable, the real number system, continuity, differentiation, integration theory, sequence and series. Note: This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Note: this course assumes that students have completed MATH 2421 and MATH 3000 or equivalent. Prereq: Graduate standing. Cross-listed with MATH 4310. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MCKE 5408 - Applied Graph Theory


    Introduces discrete structures and applications of graph theory to computer science, engineering, operations research, social science, and biology. Topics include connectivity, coloring, trees, Euler and Hamiltonian paths and circuits, matching and covering problems, shortest route and network flows. Note: This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Note: this course assumes that students have completed MATH 3000 or equivalent. Prereq: Graduate standing. Cross-listed with MATH 4408. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MCKE 5409 - Applied Combinatorics


    Major emphasis is on applied combinatorics and combinatorial algorithms, with applications in computer science and operations. Topics include general counting methods, generating functions, recurrence relations, inclusion-exclusion, and block designs. Note: This course is not applicable toward any degree in the College of Liberal Arts and Sciences. Note: this course assumes that students have completed MATH 3000 or equivalent. Prereq: Graduate standing. Cross-listed with MATH 4409. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MCKE 5880 - Directed Research


    Students will engage in original research projects supervised and mentored by faculty. Students must work with faculty prior to registration to develop a proposal for their project and receive permission to take this course. Max hours: 6 Credits. Semester Hours: 1 to 6

Math Education
  

  • MTED 4002 - Elementary Mathematics Teaching I


    Prepares elementary teachers to teach mathematics to PreK-6 students while applying principles of the National Council of Teachers of Mathematics to mathematical learning. Teachers explore ways to help all elementary students become flexible and resourceful mathematical problem solvers. Cross-listed with MTED 5002. Restriction: Professional Year Admission required. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 4003 - Elementary Mathematics Teaching II


    Develops the mathematical and pedagogical understandings and competence of elementary teachers, focusing on instructional assessment, principles, and practices. Cross-listed with MTED 5003. Restriction: Professional Year Admission required. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 4300 - Curriculum and Methods for Teaching Mathematics


    Fosters teachers’ use of task-based mathematics pedagogy, including orchestrating students’ mathematical discourse, to develop mathematics classrooms in which the teacher builds from students’ current understandings, accommodates for students’ differences, and has high expectations for all students. Cross-listed with MTED 5300. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 4301 - Assessment and Equity in Mathematics Instruction


    Examines mathematics assessment and equity from both a teacher’s and a student’s perspective. Focuses on assessment as a process, during which a teacher gathers evidence of students’ mathematical knowledge and understanding and then uses that evidence to make instructional decisions. Prereq: Concurrent enrollment in an internship or permission of instructor. Cross-listed with MTED 5301. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 5002 - Elementary Mathematics Teaching I


    Prepares elementary teachers to teach mathematics to PreK-6 students while applying principles of the National Council of Teachers of Mathematics to mathematical learning. Teachers explore ways to help all elementary students become flexible and resourceful mathematical problem solvers. Cross-listed with MTED 4002. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 5003 - Elementary Mathematics Teaching II


    Develops the mathematical and pedagogical understandings and competence of elementary teachers, focusing on instructional assessment, principles, and practices. Cross-listed with MTED 4003. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 5300 - Curriculum and Methods for Teaching Mathematics


    Fosters teachers’ use of task-based mathematics pedagogy, including orchestrating students’ mathematical discourse, to develop mathematics classrooms in which the teacher builds from students’ current understandings, accommodates for students’ differences, and has high expectations for all students. Cross-listed with MTED 4300. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 5301 - Assessment and Equity in Mathematics Instruction


    Examines mathematics assessment and equity from both a teacher’s and a student’s perspective. Focuses on assessment as a process, during which a teacher gathers evidence of students’ mathematical knowledge and understanding and then uses that evidence to make instructional decisions. Prereq: Concurrent enrollment in an internship or permission of instructor. Cross-listed with MTED 4301. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 5400 - Mathematics for Elementary Teachers


    Key mathematical concepts for K-6 teachers informed by NCTM & Common Core State Standards, such as place-value number systems, rational, proportional, & algebraic reasoning, geometrical concepts, & statistical/probability ideas. Students’ meaningful, enjoyable learning is promoted via problem solving activities. Cross-listed with MATH 3040. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 5619 - Expanding Conceptions of Number: Quantity and Operation


    Teachers’ learning will focus on quantities and operations in place value number systems, how students understand such systems, and how teaching may promote students’ progress. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 5620 - Developing Fractional & Proportional Reasoning


    Teachers’ learning will focus on quantities and operations involved with ratio, fraction, and proportion; and on how students understand ratio, fraction and proportion; and how teaching may promote students’ progress. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 5621 - A World of (Different) Numbers: Quantity and Operation


    Develops K-12 teachers’ understanding of number systems and the ability to foster students’ understanding. Focuses on number, quantity, and operation. Applicable to teaching students at all grade levels in line with the K-12 Common Core Standards. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 5622 - Expanding Conceptions of Algebra


    Develops K-12 teachers’ understanding of algebra concepts and the ability to foster students’ understanding. Focuses on equivalence, variable, covariation, and function. Applicable to teaching students at all grade levels in line with the K-12 Common Core Standards. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 5623 - Geometrical Ways Of Reasoning


    Develops K-12 teachers’ geometrical reasoning and the ability to foster students’ reasoning. Addresses transformation, measurement, classification, objects, imagery, formulas, and investigation. Applicable to teaching students at all grade levels in line with the K-12 Common Core Standards. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 7030 - Theories Of Mathematics Learning


    Develops educators’ knowledge of foundational theories and conceptual frameworks in mathematics education. MTED 5030 and 7030 are cross-listed. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 7040 - Mathematics Teaching - Theory and Practice


    Develops educators’ research-based understandings and practices of PreK-12 mathematics teaching and learning. MTED 5040 and 7040 are cross-listed. Max hours: 9 Credits. Semester Hours: 3 to 3
  

  • MTED 7050 - Critique Of Mathematics Education Research


    Develops educators’ understanding of various research studies in mathematics education, including research focusing on mathematics teaching and learning, attending to students’ mathematical reasoning, and teaching mathematics for social justice and equity. Increases educators’ competence, confidence and enthusiasm in critiquing research. MTED 5050 and 7050 are cross-listed. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MTED 7060 - Developmental Pathways In Students’ Mathematical Thinking


    Fosters educators’ development of research-based ways of determining (a) what to look for, (b) how to look for, (c) how to synthesize and report on, and (d) how to incorporate in pedagogy data-grounded inferences about children’s mathematical thinking. MTED 5060 and 7060 are cross-listed. Max hours: 3 Credits. Semester Hours: 3 to 3

Mathematics
  

  • MATH 1009 - Computer-Based Algebraic Problem Solving


    A laboratory-based problem solving course focused on personal computing applications. Topics include general problem solving techniques, deductive reasoning, elementary probability, computer algebraic software, optimization, graphical analysis, systems of equations, spreadsheets, functions, descriptive statistics, linear programming and elementary programming logic. Prereq: basic high school algebra and some familiarity with Microsoft Windows. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 1010 - Mathematics for the Liberal Arts


    Designed to give liberal arts students the skills required to understand and interpret quantitative information that they encounter in the news and in their studies, and to make quantitatively-based decisions in their lives. Topics include a survey of logic and analysis of arguments, identifying fallacies in reasoning, working with numbers and units, linear and exponential relations and essentials of probability and statistics. The emphasis is on applications with case studies in economics, finance, environmental sciences, health, music and science. Note: This course assumes that students have knowledge equivalent to three years of high school mathematics (two years of algebra). GT: Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer, GT-MA1 Semester Hours: 3 to 3
  

  • MATH 1011 - Math for Liberal Arts Workshop


    Prepares students for college-level mathematics. Students receive one-on-one and small-group instruction on mathematics topics related to college level mathematics success. Max hours: 1 Credit. Semester Hours: 1 to 1
  

  • MATH 1070 - College Algebra for Business


    Covers the same mathematical topics as College Algebra, MATH 1110, but with business applications. Note: Graphics calculator required. Note: Students may not receive credit for this course if they have already received credit for MATH 1110 or MATH 1130. Note: 24 on ACT-Math, 560 on SAT-Math or above average performance in intermediate algebra, algebraic literacy or integrated math are strongly recommended as preparation for this course. Max hours: 3 Credits. GT: Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer, GT-MA1. Semester Hours: 3 to 3
  

  • MATH 1080 - Calculus for Social Sciences and Business


    A one-semester course in single-variable calculus. Topics include limits, derivatives, differentiation rules, integration and integration rules. Emphasis is on applications to business and social sciences. Note: No knowledge of trigonometry is required. Those planning to take more than one semester of calculus should take MATH 1401 instead of MATH 1080. MATH 1070 or MATH 1110 with a C- or higher is required for students to register for this course. No co-credit with MATH 1401. Max hours: 3 Credits. GT: Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer, GT-MA1. Semester Hours: 3 to 3
  

  • MATH 1110 - College Algebra


    Topics in algebra designed for students who intend to take the calculus sequence. Functions, domains, ranges, graphs, data scatter plots and curve fitting, solving equations and systems of equations, polynomial, rational, exponential and logarithmic functions and other topics. Applications are emphasized. Note: Students may not receive credit for this course if they have already received credit for MATH 1070 or MATH 1130. Note: 24 on ACT-Math, 560 on SAT-Math or above average performance in intermediate algebra, algebraic literacy or integrated math are strongly recommended as preparation for this course. Max hours: 4 Credits. GT: Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer, GT-MA1. Semester Hours: 4 to 4
  

  • MATH 1111 - First Year Seminar


    Restriction: Restricted to Freshman level students. Max hours: 3 Credits. Semester Hours: 1 to 3
  

  • MATH 1120 - College Trigonometry


    Topics in trigonometry, analytic geometry, and elementary functions designed for students who intend to take the calculus sequence. Angles and trigonometry functions of acute angles, analytic trigonometry, fundamental trigonometric functions and identities including hyperbolic trigonometry, parametric equations, and polar coordinate system. Graphic calculators and/or computer algebra systems are used extensively. Applications are emphasized. Note: This course assumes that students have mathematical knowledge equivalent to MATH 1110 or MATH 1070. Students with a grade of B- or better in MATH 1110 or MATH 1070 pass the course at a much higher rate. No co-credit with MATH 1130. Max hours: 3 Credits. GT: Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer, GT-MA1. Semester Hours: 3 to 3
  

  • MATH 1130 - Precalculus Mathematics


    Condensed treatment of the topics in MATH 1110 and 1120. Note: This course assumes that students have mathematical knowledge equivalent to a grade of C- or better in College Algebra and Trigonometry. No co-credit with MATH 1070, 1110 or 1120. Max hours: 4 Credits. GT: Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer, GT-MA1. Semester Hours: 4 to 4
  

  • MATH 1401 - Calculus I


    First course of a three-semester sequence (MATH 1401, 2411, 2421) in calculus. Topics covered include limits, derivatives, applications of derivatives, and the definite integral. Note: No co-credit with MATH 1080. Note: : To be able to register for this course, students must first be entered into the MATH 1401 Student Group. To be eligible, students must demonstrate that they have mathematical knowledge equivalent to MATH 1120 or MATH 1130. Students can demonstrate this proficiency 1) by having an SAT score of 620 or an ACT score of 27, taken within the last three years, or 2) by having completed and transferred in a course that is the exact equivalent of MATH 1401 at a different institution, or 3) by earning a score of 70% or higher on the prerequisite exam administered through the MERC lab. Some preparation is required before this prerequisite exam can be taken; contact the MERC lab or the Mathematics department for more information. Max hours: 4 Credits. GT: Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer, GT-MA1 Semester Hours: 4 to 4
  

  • MATH 1840 - Independent Study.


    Max hours: 3 Credits. Semester Hours: 1 to 3
  

  • MATH 2411 - Calculus II


    The second of a three-semester sequence (MATH 1401, 2411, 2421) in calculus. Topics covered include exponential, logarithmic, and trigonometric functions, techniques of integration, indeterminate forms, improper integrals and infinite series. Prereq: C- or better in MATH 1401. Note: Students with a grade of B- or better in MATH 1401 pass this course at a much higher rate. Max hours: 4 Credits. GT: Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer, GT-MA1. Semester Hours: 4 to 4
  

  • MATH 2421 - Calculus III


    The third of a three-semester sequence in Calculus (MATH 1401, 2411 and 2421). Topics include vectors, vector-valued functions, partial differentiation, differentiation, multiple integration, and vector calculus. Prereq: C- or better in MATH 2411. Note: Students with a grade of B- or better in MATH 2411 pass this course at a much higher rate. Max hours: 4 Credits. GT: Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer, GT-MA1 Semester Hours: 4 to 4
  

  • MATH 2511 - Discrete Structures


    Covers the fundamentals of discrete mathematics, including: logic, sets, functions, growth of functions, algorithms, matrices, mathematical reasoning, proofs, induction, relations, graphs, trees and combinatorics. There is an emphasis on how discrete mathematics applies to computer science in general, and algorithm analysis in particular. Prereq: CSCI 2421. Cross-listed with CSCI 2511. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 2810 - Topics


    Topics in mathematics with various subtitles reflecting course content. Prereq: permission of instructor. Max hours: 6 Credits. Semester Hours: 1 to 3
  

  • MATH 2830 - Introductory Statistics


    Basic statistical concepts, summarizing data, probability concepts, distributions, confidence intervals, hypothesis testing. Note: This course assumes that students have knowledge equivalent to three years of high school mathematics (two years of algebra), intermediate algebra, or Algebraic Literacy at a Colorado Community College at the start of class. Students who have a grade of B- or better in one of these courses pass at a much higher rate. Max hours: 3 Credits. GT: Course is approved by the Colorado Dept of Higher Education for statewide guaranteed transfer, GT-MA1. Semester Hours: 3 to 3
  

  • MATH 2939 - Internship


    Experiences involving application of specific, relevant concepts and skills in supervised employment situations. Note: students must work with the Experiential Learning Center advising to complete a course contract and gain approval. Prereq: 15 hours of 2.75 GPA. Max hours: 9 Credits. Semester Hours: 1 to 3
  

  • MATH 3000 - Introduction to Abstract Mathematics


    Students learn to prove and critique proofs of theorems by studying elementary topics in abstract mathematics, including logic, sets, functions, equivalence relations and elementary combinatorics. Coreq: MATH 2421 or MATH 3191. Note: This course assumes that students have taken MATH 2411 or equivalent. Students who have a grade of B- or better in MATH 2411 pass at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3040 - Mathematics for Elementary Teachers


    Key mathematical concepts for K-6 teachers informed by NCTM & Common Core State Standards, such as place-value number systems, rational, proportional, & algebraic reasoning, geometrical concepts, & statistical/probability ideas. Students’ meaningful, enjoyable learning is promoted via problem solving activities. Cross-list with MTED 5400. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3191 - Applied Linear Algebra


    Topics include systems of equations, Gaussian elimination with partial pivoting, LU–decomposition of matrices, matrix algebra, determinants, vector spaces, linear transformations, eigen values and applications. Note: No co-credit with MATH 3195. Note: This course assumes that students have taken MATH 2411 or equivalent. Students who have a grade of B- or better in MATH 2411 pass this course at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3195 - Linear Algebra and Differential Equations


    Presents the essential ideas and methods of linear algebra and differential equations, emphasizing the connections between and the applications of both subjects. The course is designed for students in the sciences and engineering. Note: No co-credit with MATH 3200 and MATH 3191. Note: This course assumes that students have taken MATH 2411 or equivalent. Students who have a grade of B- or better in MATH 2411 pass this course at a much higher rate. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MATH 3200 - Elementary Differential Equations


    First and second order differential equations, Laplace transforms, systems of equations, with an emphasis on modeling and applications. Coreq: MATH 3191. Note: No co-credit with MATH 3195. Note: This course assumes that students have taken MATH 2411 or an equivalent course. Students who have a grade of B- or better in MATH 2411 pass this course at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3210 - Higher Geometry I


    Studies the foundations of modern geometry by examining axiomatic systems for various geometrics, with an emphasis on non-Euclidean hyperbolic geometry. Prereq: C- or better in MATH 3000. Cross-listed with MCKE 5210. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3250 - Problem Solving Tools


    Students learn and refine both problem solving techniques and computer programming skills. Examples, exercises, and projects are taken from a wide range of mathematical topics including algebra, calculus, linear algebra and probability. Note: This course will not count toward a graduate degree in applied mathematics. Prereq: MATH 2411. Coreq: either MATH 3191 or MATH 3195. Cross-listed with MCKE 5250. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3301 - Introduction to Optimization in Operations Research


    Introduces a mathematical approach for decision-making in practice based on optimization. Students will learn to model, analyze and solve a variety of problems from deterministic operations using both continuous and discrete mathematical programming algorithms and software. Note: this course assumes that students have taken MATH 3191 or MATH 3195 or equivalent. Students who have received a grade of B- or better in MATH 3191 or 3195 pass this course at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3302 - Simulation in Operations Research


    Elementary stochastic processes and standard nondeterministic operations research models solved by simulation: Markov chains, Poisson process, Monte Carlo and discrete-event simulation, queuing theory, and inventory models. Note: This course assumes that students have programming experience (e.g. MATLAB), and have taken MATH 3191 and MATH 3800 or 4810 or equivalent. Students who have a grade of B- or better in MATH 3191 and MATH 3800 or 4810 pass this course at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3382 - Statistical Theory


    Probability, random variables, properties of distributions, bootstrap methods, maximum likelihood and method of moments estimation, properties of estimators, classical methods for confidence intervals and hypothesis testing. Note: This course assumes students have passed Math 2421 with a C- or better. Students who have a grade of B- or better in Math 2421 pass this course at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3440 - Introduction to Symbolic Logic


    Covers truth functional and quantificational logic through polyadic first order predicate calculus and theory of identity. Attention is given to such problems in metatheory as proofs of the completeness and consistency of systems of logic. Cross-listed with PHIL 3440. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3511 - Mathematics of Chemistry


    Multivariate functions, probability and statistics for chemistry, matrices and vectors, mathematics of reaction kinetics and symmetry point groups. Course covers mathematics needed for CHEM 4511 and 4521. Can also be an elective for the mathematics minor. Prereq: MATH 2411, CHEM 2031 or CHEM 2081, CHEM 2061 or CHEM 2091. Max hours: 4 Credits. Semester Hours: 4 to 4
  

  • MATH 3800 - Probability and Statistics for Engineers


    Basic probability theory, discrete and continuous random variables, point and interval estimation, test of hypotheses, and simple linear regression. Note: no co-credit with MATH 4810. Note: This course assumes that students have taken MATH 2411 and have either previously taken MATH 2421 or are taking MATH 2421 the same semester as MATH 3800. Students who have a grade of B- or better in MATH 2411 pass this course at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 3939 - Internship


    Designed experiences involving application of specific, relevant concepts and skills in supervised employment situations. Note: students must work with the Experiential Learning Center advising to complete a course contract and gain approval. Prereq: Junior standing or higher. Max hours: 9 Credits. Semester Hours: 1 to 3
  

  • MATH 4010 - History of Mathematics


    A history of the development of mathematical techniques and ideas from early civilization to the present, including the inter-relationships of mathematics and sciences. Prereq: MATH 2411 with a C- or higher. Coreq: MATH 3000 or 3191. Cross-listed with MATH 5010. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4012 - An Advanced Perspective on Number and Operation


    “Advanced study of number and operation, including why the various procedures from arithmetic work and connections to algebraic reasoning. Focuses on using rigorous mathematical reasoning and multiple representations to explain concepts. Note: For undergraduate majors, this course only counts toward the mathematics education option. Note: This course assumes that students have taken MATH 3000 or an equivalent course. Students who have a grade of B- or better in MATH 3000 pass this course at a much higher rate. Cross-listed with MATH 5012. Max hours: 2 Credits. Semester Hours: 2 to 2
  

  • MATH 4013 - An Inquiry-Based Approach to Geometry


    An inquiry-based approach to middle-level and Euclidean geometry. Topics include: polygons and the angle relationships, constructions, Pythagorean theorem and perimeter, area and volume, similarity and congruence, circles. Note: For undergraduate majors, this course only counts toward the mathematics education option. Note: This course assumes that students have taken MATH 3000 or an equivalent course. Students who have a grade of B- or better in MATH 3000 pass this course at a much higher rate. Cross-listed with MATH 5013. Max hours: 1 Credit. Semester Hours: 1 to 1
  

  • MATH 4014 - Statistical Knowledge for Teaching


    A problem-based statistics seminar aimed at secondary teachers. Topics include: the central limit theorem, the law of large numbers, probability, measures of central tendency and variability, sampling distributions, regression, and hypothesis testing. Note: For undergraduate majors, this course only counts toward the mathematics education option. Note: This course assumes that students have taken MATH 3800 or an equivalent course. Students who have a grade of B- or better in MATH 3800 pass this course at a much higher rate. Cross-listed with MATH 5014. Max hours: 1 Credit. Semester Hours: 1 to 1
  

  • MATH 4015 - Capstone Course for Secondary Teachers


    High school mathematics from an advanced perspective: analyses of alternative definitions, extensions and generalizations of familiar theorems; discussions of historical contexts in which concepts arose; applications of mathematics. Note: For undergraduate majors, this course only counts toward the mathematics education option. Note: this course assumes that students have taken MATH 3210, 4310 and 3140 or equivalent. Cross-listed with MATH 5015. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4027 - Topics in Mathematics


    Special topics in mathematics will be covered; consult ‘Schedule Planner’ for current topics and prerequisites. Max hours: 12 Credits. Semester Hours: 3 to 3
  

  • MATH 4110 - Theory of Numbers


    Every other year. Topics include divisibility, prime numbers, congruencies, number theoretic functions, quadratic reciprocity, and special diophantine equations, with applications in engineering. Prereq: Grade of C- or better in MATH 3000. Note: Students who have a grade of B- or better in MATH 3000 pass this course at a much higher rate. Cross-listed with MATH 5110. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4140 - Introduction to Modern Algebra


    Studies the fundamental algebraic structures used in modern mathematics. Topics include groups, rings, fields and polynomials. Note: This course assumes that students have taken MATH 3000 or equivalent and either MATH 3191 or MATH 3195. Students who have a grade of B- or better in these courses pass at a much higher rate. Cross-listed with MCKE 5140. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4201 - Topology


    Metric spaces and topological spaces, compactness, separation properties, and connectedness. Note: This course assumes that students have taken MATH 3000. Students who have a grade of B- or better in MATH 3000 pass this course at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4220 - Higher Geometry II


    Studies affine and projective geometries. Coordinates are introduced in this framework. Planes and higher dimensional spaces are examined. Note: This course assumes that students have taken MATH 3191. Students who have a grade of B- or better in MATH 3191 pass this course at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4310 - Introduction to Real Analysis I


    Calculus of one variable, the real number system, continuity, differentiation, integration theory, sequence and series. Prereq: Prereq: Grade of C- or better in MATH 2421 and 3000. Note: Students who have a grade of B- or better in MATH 2421 and 3000 pass this course at a much higher rate. Cross-listed with MCKE 5310. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4320 - Introduction to Real Analysis II


    Convergence, uniform convergence; Taylor’s theorem; calculus of several variables including continuity, differentiation and integration; Picard’s theorem in ordinary differential equations and Fourier series. Note: This course assumes that students have taken MATH 4310 or an equivalent course. Students who have a grade of B- or better in MATH 4310 pass this course at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4387 - Applied Regression Analysis


    Topics include simple and multiple linear regression, model diagnostics and remediation, and model selection. Emphasis is on practical aspects and applications of linear models to the analysis of data in business, engineering and behavioral, biological and physical sciences. Prereq: Grade of C- or better in MATH 3191 and MATH 3800 or 4820. Note: Students who have a grade of B- or better in MATH 3191, an A in MATH 3800 or a B- or better in MATH 4820 pass this course at a much higher rate. Cross-listed with MATH 5387. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4390 - Game Theory


    Zero-sum and non-zero-sum games; Nash equilibrium and the principle of indifference; Shapley value and other concepts of fair division; Evolutionary game theory, ESS, and evolutionary population dynamics. Applications in economics, business, and biology. Note: This course assumes that students have programming experience (e.g. MATLAB), and have taken MATH 2421, 3191 and 3200 or MATH 3195, MATH 3800 or 4810, or equivalent. Students who have a grade of B- or better in these courses pass this course at a much higher rate. Cross-listed with MATH 5390. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4394 - Experimental Designs


    Designs covered will include: completely randomized, complete block, split plot, incomplete block, factorial and fractional factorial designs. Additionally, power and study design for non-experimental studies will be covered. Prereq: Grade of C- or better in MATH 4387 or 5387. Cross-listed with MATH 5394. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4408 - Applied Graph Theory


    Introduces discrete structures and applications of graph theory to computer science, engineering, operations research, social science, and biology. Topics include connectivity, coloring, trees, Euler and Hamiltonian paths and circuits, matching and covering problems, shortest route and network flows. Note: This course assumes that students have taken MATH/CSCI 2511 or MATH 3000. Students who have a grade of B- or better in MATH/CSCI 2511 or MATH 3000 pass this course at a much higher rate. Cross-listed with CSCI 4408 and MCKE 5408. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4409 - Applied Combinatorics


    Every other year. Major emphasis is on applied combinatorics and combinatorial algorithms, with applications in computer science and operations. Topics include general counting methods, generating functions, recurrence relations, inclusion-exclusion, and block designs. Note: This course assumes that students have taken MATH 3000. Students who have a grade of B- or better in MATH 3000 pass this course at a much higher rate. Cross-listed with MCKE 5409. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4450 - Complex Variables


    Infrequent. Topics include complex algebra, Cauchy-Riemann equations, Laurent expansions, theory of residues, complex integration, and introduction to conformal mapping. Note: This course assumes that students have taken MATH 2421 and MATH 3000. Students who have a grade of B- or better in MATH 2421 and MATH 3000 pass this course at a much higher rate. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4650 - Numerical Analysis I


    Methods and analysis of techniques used to resolve continuous mathematical problems on the computer. Solution of linear and nonlinear equations, interpolation and integration. Prereq: MATH 2411, 3191 or 3195, and programming experience. Cross-listed with CSCI 4650, 5660, and MATH 5660. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4660 - Numerical Analysis II


    Numerical differentiation and integration, numerical solution of ordinary differential equations, and numerical solutions of partial differential equations as time allows. Prereq: MATH 3195 or both 3191 and 3200; MATH or CSCI 4650 or 5660; or programming experience. Cross-listed with MATH 5661, CSCI 4660 and 5661. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4733 - Partial Differential Equations


    Infrequent. Initial/Boundary value problems for first-order, wave, heat and Laplace Equations; maximum principles; Fourier Series and applications. Note: This course assumes that students have taken MATH 2421 and MATH 3200, and either have taken MATH 3000 or have experience with partial differential equations in engineering or physics. Students who have a grade of B- or better in MATH 2421 and MATH 3200 pass this course at a much higher rate. Cross-listed with MATH 5733. Max hours: 3 Credits. Semester Hours: 3 to 3
  

  • MATH 4779 - Math Clinic


    The clinic is intended to illustrate the applicability and utility of mathematical concepts. Research problems investigated originate from a variety of sources–industry, government agencies, educational institutions, or nonprofit organizations. Prereq: consult Schedule Planner or instructor. Cross-listed with MATH 5779. Max hours: 99 Credits. Semester Hours: 3 to 3
  

  • MATH 4791 - Continuous Modeling


    Every other year. Surveys mathematical problems that arise in natural sciences and engineering. Topics may include population models, epidemic models, mechanics, heat transfer and diffusion, tomography, pharmaco-kinetics, traffic flow, fractal models, wave phenomena, and natural resource management. Most models discussed are based on differential and integral equations. Emphasis is formulation and validation of models as well as methods of solution. Note: This course assumes that students have taken MATH 3191 and MATH 3200. Students who have a grade of B- or better in MATH 3191 and MATH 3200 pass this course at a much higher rate. Cross-listed with MATH 5791. Max hours: 3 Credits. Semester Hours: 3 to 3
 

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