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Undergraduate Catalog 2024-2025

Mathematics B.S. – Pure and Applied Mathematical Sciences Concentration

Program Overview

College of Natural and Health Sciences

Contact: Jodie Novak, Ph.D., Department Chair

Location: Ross Hall 2239

Telephone: 970.351.2820

Website: www.unco.edu/nhs/mathematical-sciences/

Advising Information

Students must consult with their assigned major advisor each semester prior to registering.

To find your advisor, log into ursa.unco.edu; go to 'Student' tab and click 'View Student Information' link. If no advisor is listed, contact the major program for advisor information.

The program consists of three parts:

  1. Liberal Arts Curriculum (LAC) Credits
  2. Required Major Credits
  3. University-Wide Credits

Program Description:

All undergraduate programs require a core of common courses to provide students with a solid foundation in the mathematical sciences. Thereafter, students can choose from different concentration areas depending on their educational interests and goals.

Pure and Applied Mathematical Sciences Concentration

Expanded scientific, statistical and mathematical knowledge, combined with growing needs in technological as well as social areas, have created increased demands for individuals trained in applied mathematics. This concentration focuses on applications of mathematics to real-life problems and includes some supporting computer science and statistics. Graduates are prepared for technical positions in such areas as environmental, governmental, industrial, military, and social settings and for additional graduate study in mathematics and other related disciplines.

The concentration also prepares graduates for graduate programs in mathematics, applied mathematics, statistics, and data science. Students will be prepared to begin a career in a variety of quantitative settings including branches of engineering, physical and social science, finance and management, law and medicine.

Program Admission Requirements:

Academic Good Standing

Degree Requirements — 120 Credits

1. Liberal Arts Curriculum — 31 credits

To complete the degree in 120 credits as outlined, the program recommends the below LAC courses that also count toward the required major credits.

Any additional LAC coursework completed outside of the recommended list below may extend the length of the program of study.

Written Communication — 6 credits

Select any courses to fulfill this requirement from the currently approved LAC course list.

See Written Communication courses

Mathematics — 3 credits

MATH 131 or MATH 132 is recommended to fulfill Mathematics requirement and will fulfill both LAC and major requirements.

See Mathematics courses

Arts & Humanities, History, Social & Behavioral Sciences, U.S. Multicultural Studies [MS], and International Studies [IS] — 15 credits

To complete the LAC in the minimum number of credits, be sure to choose at least one course with an IS designation and one course with an MS designation.

Select any courses to fulfill this requirement from the currently approved LAC course list.

See Arts & Humanities, History, and Social & Behavioral Sciences courses

Natural & Physical Sciences — 7 credits

Select any courses to fulfill this requirement from the currently approved LAC course list.

See Natural & Physical Sciences courses

See Liberal Arts Curriculum

2. Required Major — 55 credits

Take all of the following courses:

CS 120Introduction to Programming

3

CS 160Structured Programming

3

MATH 131Calculus ILAX1

4

MATH 132Calculus IILAX1

4

MATH 221Elementary Linear Algebra

3

MATH 228Discrete Mathematics

3

MATH 233Calculus III

4

MATH 321Introduction to Abstract Algebra I

3

MATH 335Differential Equations I

3

MATH 350Probability Theory

3

MATH 431Basic Analysis I

4

MATH 437Mathematical Modeling

3

MATH 460Introduction to Complex Analysis

3

MATH 495Topics in Mathematics

1- 3

Note: MATH 495 - Take 3 credits.

Take 9 credits from:

CS 301Algorithms and Data Structures

3

CS 302Programming Languages

3

CS 401Theory of Computation

3

CS 454Data Mining and Machine Learning

3

CS 456Neural Networks and Deep Learning

3

MATH 322Introduction to Abstract Algebra II

3

MATH 336Differential Equations II

3

MATH 341Introduction to Modern Geometry I

3

MATH 342Introduction to Modern Geometry II

3

MATH 351Statistics Theory

3

MATH 375Elementary Numerical Analysis

3

MATH 432Basic Analysis II

4

MATH 495Topics in Mathematics

1- 3

STAT 311Data Preparation and Analysis

3

STAT 320Design and Analysis of Experiments

3

STAT 330Regression Analysis

3

STAT 411Fundamentals of Data Science

3

STAT 440Applied Multivariate Statistical Analysis

3

STAT 451Intermediate Applied Statistics

3

STAT 495Topics in Statistics

1-4

with MATH 495 taken under a second title.

3. University-Wide Credits — 34-37 credits*

Complete additional credits to achieve the minimum credits needed for any degree at UNC; for this program, that will typically be 34-37 credits.

*Note: Students who apply the recommended courses to both the liberal arts curriculum and the major requirements will have an increased number of university wide electives to apply to this degree. See your advisor for details.

Four Year Plan

This four year plan is a recommended schedule to complete this bachelor's degree in 4 years. Courses are subject to availability. Students must consult with their major advisor to receive information on any additional graduation requirements and course sequence guidance. 

Year 1 – 30 credits

Fall Semester

CS 120Introduction to Programming

3

ENG 122College CompositionLAW1

3

MATH 102Success in the Mathematical Sciences

1

MATH 131Calculus ILAX1

4

LAC Arts and HumanitiesLAA1LAA2LAA3LAA4

3

Total Credit Hours:14

LAC Arts and Humanities: Choose U.S. Multicultural Studies (MS) or International Studies (IS) course.

Spring Semester

CS 160Structured Programming

3

MATH 132Calculus IILAX1

4

MATH 228Discrete Mathematics

3

LAC Intermediate WritingLAW2

3

LAC Social and Behavioral SciencesLAB1LAB2LAB3

3

Total Credit Hours:16

LAC Social and Behavioral Sciences: Choose U.S. Multicultural Studies (MS) or International Studies (IS) course.

Year 2 – 29 credits

Fall Semester

MATH 233Calculus III

4

MATH 350Probability Theory

3

LAC HistoryLAH1

3

LAC Natural and Physical Sciences with LabLAS1LASL

4

Total Credit Hours:14

Spring Semester

MATH 221Elementary Linear Algebra

3

MATH 335Differential Equations I

3

LAC Arts and HumanitiesLAA1LAA2LAA3LAA4

3

University-Wide Elective

3

University-Wide Elective

3

Total Credit Hours:15

Year 3 - 31 credits

Fall Semester

MATH 321Introduction to Abstract Algebra I

3

or

MATH 437Mathematical Modeling

3

MATH 431Basic Analysis I

4

or

MATH 495Topics in Mathematics

1- 3

LAC Arts and Humanities, History, or Social and Behavioral SciencesLAA1LAA2LAA3LAA4LAB1LAB2LAB3LAH1

3

University-Wide Elective

3

University-Wide Elective

3

Total Credit Hours:16

Spring Semester

MATH 460Introduction to Complex Analysis

3

or

Major Elective

3

Major Elective

3

LAC Natural and Physical Sciences without LabLAS1

3

University-Wide Elective

3

University-Wide Elective

3

Total Credit Hours:15

Year 4 - 30 credits

Fall Semester

MATH 321Introduction to Abstract Algebra I

3

or

MATH 437Mathematical Modeling

3

MATH 431Basic Analysis I

4

or

MATH 495Topics in Mathematics

1- 3

University-Wide Elective

3

University-Wide Elective

3

University-Wide Elective

3

Total Credit Hours:15

Spring Semester

MATH 460Introduction to Complex Analysis

3

or

Major Elective

3

Major Elective

3

University-Wide Elective

3

University-Wide Elective

3

University-Wide Elective

3

Total Credit Hours:15

Advising Notes –

  • MATH 495 is only offered every odd-numbered fall and some odd-numbered springs; MATH 321 is only offered every odd-numbered fall; MATH 431 is only offered every even-numbered fall; and MATH 460 is only offered every even-numbered spring.
  • Liberal Arts Curriculum courses can be taken any semester. It is strongly suggested that they be evenly distributed over the entire 4 years of study rather than concentrated in the first 2 years. NOTE: You need to complete 31 Liberal Arts Curriculum credits total. MATH 131 and MATH 132 are required in the program and also satisfy the 3 credit Liberal Arts Curriculum Mathematics requirement. Most students will take ENG 122 for their first composition class unless they have placed out of the introductory composition requirement.

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