Bachelor of Science in Mathematics

Program Overview

The University of Central Florida's Bachelor of Science in Mathematics program provides students with a comprehensive mathematical education and the skills for problem-solving in various fields. With multiple tracks to choose from, including General Mathematics, Mathematical Biology, Mathematical Economics, Computational Track, Engineering/Physics Track, and Mathematical Data Analysis Track and a focus on analytical abilities, students are prepared for careers in mathematics, statistics, data science, and more. Graduates can apply their knowledge in areas such as education, research, and industry.

Program Outline

Degree Overview:

The Bachelor of Science in Mathematics (BS) program at the University of Central Florida (UCF) provides students with a comprehensive mathematical education. The program aims to prepare students for a variety of career paths, including academic, industrial, or governmental employment, as well as advanced study in mathematics or related disciplines. The program emphasizes the development of analytical skills, initiative, and independence, which are valuable for problem-solving in general. Students can choose from one of six tracks:

• General Mathematics Track: Offers the greatest flexibility in learning plans.
• Mathematical Biology Track: Focuses on applying mathematical principles to biological systems.
• Mathematical Economics Track: Combines mathematics with economic theory.
• Computational Track: Emphasizes computational methods and applications.
• Mathematical Data Analysis Track: Focuses on analyzing and interpreting data using mathematical techniques.

Outline:

Core Requirements:

• Basic Level (4 Total Credits):
• All courses specifically identified in the General Education Program (GEP) and the Common Program Prerequisites (CPP) are required.
This includes MAC2311C, COP3502C, MAC2312, MAC2313, MAP2302, and one of CHM2045C, BSC2010C, or PHY2048/PHY2048L or PHY2048C.
• Science Core (4 Total Credits):
• Students must complete a science sequence, which may vary depending on their chosen track.
• The Mathematical Biology track requires both chemistry (CHM2045C, CHM2046, and CHM2046L) and biology (BSC2010C and BSC2011C).
• The Engineering/Physics track requires PHY2048C (or PHY2048 and PHY2048L) and PHY2049C (or PHY2049 and PHY2049L).
• Students can earn 4 credits in any of the following: CHM2045C, CHM2046 and CHM2046L, BSC2010C, BSC2011C, PHY2048C, or PHY2049C.
• Advanced Level (18 Total Credits):
• MAA4226 - Advanced Calculus I (4)
• MAS3105 - Matrix and Linear Algebra (4)
• MAS3106 - Linear Algebra (4)
• MAS4301 - Abstract Algebra I (3)
• MHF3302 - Logic and Proof in Mathematics (3)
• Students are strongly encouraged to take MAA4226 as early as possible.
• COT3100 can be substituted for MHF3302 with departmental approval.

Restricted Electives (18-39 Total Credits):

• General Mathematics Track:
• At least 3 credits from any 4000 or 5000 level courses with an MAP or MAT prefix offered by the Department of Mathematics.
• At least 3 credits from any 4000 or 5000 level courses with an MAA, MAD, MAS, or MTG prefix offered by the Department of Mathematics, except MTG 4212.
• At least 12 credits from any 4000 or 5000 level courses offered by the Department of Mathematics, except MTG 4212 or MHF 4404.
• Mathematical Biology Track:
• Track Prerequisites: If not completed as part of the GEP, CPP, and Core: Basic Requirements, the Mathematical Biology track requires either CHM2045C, CHM2046, and CHM2046L or BSC2010C and BSC2011C.
• Track Requirements:
• CHM2210 - Organic Chemistry I (3)
• CHM2211 - Organic Chemistry II (3)
• MAP4484 - Mathematical Biology (3)
• At least 3 credits from any 4000 or 5000 level course with an MAP or MAT prefix offered by the Department of Mathematics.
• At least 3 credits from any 4000 or 5000 level course with an MAA, MAD, MAS, or MTG prefix offered by the Department of Mathematics, except MTG 4212.
• At least 9 credits from lecture courses listed in the restricted electives areas of the Biology B.S.
and/or the Biomedical Sciences bachelors programs.
• At least 9 credits from statistics courses offered by the Department of Statistics and Data Science, with at least 6 credits at the upper division (3000-4999) level.
• Mathematical Economics Track:
• Track Prerequisites: ECO2023 must be completed as part of the GEP.
• Track Requirements:
• ECO2013 - Principles of Macroeconomics (3)
• ECO3101 - Intermediate Microeconomics (3)
• ECO3203 - Intermediate Macroeconomics (3)
• ECO3410 - Mathematical Economics (3)
• ECO4412 - Econometrics I (3)
• MAP4113 - Probability, Random Processes and Applications (3)
• MAP4640 - Financial Mathematics (3)
• STA2023 - Statistical Methods I (3)
• STA4321 - Statistical Theory I (3)
• At least 3 credits from any 4000 or 5000 level courses with an MAA, MAD, MAS, or MTG prefix offered by the Department of Mathematics, except MTG 4212.
• At least 6 credits from the following: ECO3703, ECO4504, ECO4713, ECP4303, ECP4403, STA4322.
• Computational Track:
• Track Prerequisites: COP3502C must be completed as part of the GEP, CPP, or Core: Basic Requirements.
• Track Requirements:
• COP3503C - Computer Science II (3)
• MAP4303 - Ordinary Differential Equations II (3)
• MAP4341 - Introduction to Partial Differential Equations (3)
• MAP4371 - Numerical Methods for Differential Equations (3)
• MAP4384 - Numerical Methods for Computational Sciences (3)
• STA2023 - Statistical Methods I (3)
• STA4321 - Statistical Theory I (3)
• At least 3 credits from any 4000 or 5000 level courses with an MAA, MAD, MAS, or MTG prefix offered by the Department of Mathematics, except MTG 4212.
• At least 3 credits from any 4000 or 5000 level courses offered by the Department of Mathematics, except MTG 4212 or MHF 4404.
• At least 9 credits from the following: COP3402, COP4020, COT4210, COP4331C, COP4600, EEL4768.
• Engineering/Physics Track:
• Track Prerequisites: PHY2048C (or PHY2048 and PHY2048L) and PHY2049C (or PHY2049 and PHY2049L) must be completed as part of the GEP, CPP, and/or Core: Basic Requirements.
• Track Requirements:
• MAA4402 - Introduction to Complex Variables (3)
• MAP4103 - Mathematical Modeling I (3)
• MAP4341 - Introduction to Partial Differential Equations (3)
• PHY3101 - General Physics Using Calculus III (3)
• At least 1 credit from the following: EGN3321, MAP4303, MAP5435, PHZ3113.
• At least 1 credit from the following: COT4500, EGN3211, EGN3420, MAP4371, MAP4384, PHZ3151.
• At least 1 credit from the following: EGN3310, PHY3220.
• At least 1 credit from the following: EGN3343, PHY3513.
• At least 6 credits from the following: CES4100C, EAS3101, EEL3004C, EGM3601, EGN3331C, ESI4312, PHY4604, PHY4605.
• At least 6 credits from the following: CWR3201, EAS4105, EAS4200, EAS4400, EAS4505, EEE3342C, EEL3470, EEL3552C, EEL3657, EEL3801C, EEL4742C, EEL4750, EEL4832, EEL4851C, EGN3365, EGN3613, EIN4333, EMA4223, EML3262, EML3701, EML4142, EML4225, EML4313, EML4703, ENV4561, ESI4234, ESI4523, PHY3323, PHY4324, STA4321, STA4322.
• At least 1 credit from the following: MAD4203, MAD4301.
• Mathematical Data Analysis Track:
• Track Requirements:
• MAD4203 - Introduction to Combinatorics (3)
• MAD4301 - Introduction to Graph Theory (3)
• MAP4112 - Mathematical Foundations of Machine Learning and Artificial Intelligence (3)
• MAP4113 - Probability, Random Processes and Applications (3)
• MAP4191 - Mathematical Modeling of Data (3)
• MTG4324 - Topological Data Analysis (3)
• At least 6 credits from upper division (3000-4999) statistics courses offered by the Department of Statistics and Data Science.
• At least 6 credits from 4000 level (4000-4999) courses in the Department of Computer Science.

Capstone Requirement (4 Total Credits):

• MAA4226 - Advanced Calculus I (4)

Total Undergraduate Credit Hours Required: 120

Electives:

• Students can select electives primarily from upper-level courses with departmental advisor approval.

Teaching:

The context mentions that the program's renowned faculty provide a high-quality learning experience.

Careers:

Graduates with degrees in mathematics are well-prepared for a variety of careers, including:

• Actuary
• Mathematician
• Statistician
• Operations Research Analyst
• Data Scientist
• Post-Secondary Mathematics Teacher
The skills developed through the mathematics program are applicable to various fields, such as education, logistics, management, medical, engineering, and other industries. Graduates can also pursue further study in mathematics, other areas of science, or professional schools.

Other:

• The program emphasizes the development of analytical skills, initiative, and independence, which are valuable for problem-solving in general.
• Students are strongly encouraged to complete the capstone course (MAA4226) as early as possible in their program.
• The program's academic learning compacts (student learning outcomes) are located at: http://www.oeas.ucf.edu/alc/academic_learning_compacts.htm