Mathematics (BS)

Admission Requirements

• None

Degree Requirements

• Students who change degree programs and select this major must adopt the most current catalog.
• Departmental Residency Requirement: at least 24 semester hours of regularly scheduled 3000-4000 level courses must be taken from the UCF Mathematics Department.
• Students must earn at least a "C" (2.0) in each course used to satisfy a requirement.
• Students must achieve a minimum cumulative GPA of 2.0 in all courses satisfying major requirements.
• Co-op or internship credit cannot be used in this major.
• Students should consult with a departmental advisor.
• All prerequisites of courses taught within the College of Sciences will be enforced.
• Courses designated in 1 (General Ed Program) and 2 (Common Program Prerequisites) are usually completed in the first 60 hours.
• Note: The following courses will not satisfy any Math degree requirements:
  • MTG 4212 - Modern Geometries Credit Hours: 4
  • MHF 4404 - History of Mathematics Credit Hours: 3

General Education Program (GEP) (38 Credit Hours)

• Note: Certain courses must be selected for this major, bringing GEP hours above 36
• Some concentrations require particular selections of courses in the GEP program. Please consult the desired concentration listed below.
• At least one course completed in each Foundation area must be a designated State General Education Core Course.

Communication Foundations (9 Credit Hours)

Mathematical Foundations (7 Credit Hours)

• MAC 2311C - Calculus with Analytic Geometry I Credit Hours: 4 (Required)
• COP 3502C - Computer Science I Credit Hours: 3 (Required)

Social Foundations (6 Credit Hours)

• ECO 2023 - Principles of Microeconomics Credit Hours: 3
• Select a course listed in Social Foundations Credit Hours: 3

Science Foundations (8 Credit Hours)

• PHY 2048C - General Physics Using Calculus I (or PHY 2048 and PHY 2048L) Credit Hours: 4 (Suggested)
• CHM 2045C - Chemistry Fundamentals I Credit Hours: 4 (Suggested)
• BSC 2010C - Biology I Credit Hours: 4 (Suggested)

Common Program Prerequisites (CPP) (11 Credit Hours)

See Acceptable Substitutes for Transfer Courses for possible substitutes for the courses listed below.

• COP 3502C - Computer Science I Credit Hours: 3 (GEP)
• MAC 2311C - Calculus with Analytic Geometry I Credit Hours: 4 (GEP)
• MAC 2312 - Calculus with Analytic Geometry II Credit Hours: 4
• MAC 2313 - Calculus with Analytic Geometry III Credit Hours: 4
• MAP 2302 - Ordinary Differential Equations I Credit Hours: 3

Select from the courses listed in the GEP Program (4 Credit Hours)

• CHM 2045C - Chemistry Fundamentals I Credit Hours: 4 (GEP)
• BSC 2010C - Biology I Credit Hours: 4 (GEP)
• PHY 2048C - General Physics Using Calculus I (or PHY 2048 and PHY 2048L) Credit Hours: 4 (GEP)

Core Requirements: Basic Level (22 Credit Hours)

• All courses specifically identified in the preceding Common Program Prerequisites section of this catalog are also required in the Basic Core, and must be taken.
• Selection of the science sequence may need to reflect the student's track. Consult the requirements of the track before selecting the science sequence.
• The Mathematical Biology track requires all three of the CHM 2045C/CHM 2046/CHM 2046L , the BSC 2010C/BSC 2011C, and the PHY 2048/PHY 2049 lecture/lab sequences.
• The Engineering/Physics track requires the PHY 2048C/PHY 2049C sequence.

Core: Basic Requirements

• COP 3502C - Computer Science I Credit Hours: 3 (GEP/CPP)
• MAC 2311C - Calculus with Analytic Geometry I Credit Hours: 4 (GEP/CPP)
• MAC 2312 - Calculus with Analytic Geometry II Credit Hours: 4 (CPP)
• MAC 2313 - Calculus with Analytic Geometry III Credit Hours: 4 (CPP)
• MAP 2302 - Ordinary Differential Equations I Credit Hours: 3 (CPP)

Core: Science Sequence:

Select from the following (4 Credit Hours)

• CHM 2045C - Chemistry Fundamentals I Credit Hours: 4 (GEP/CPP)
• CHM 2046 - Chemistry Fundamentals II Credit Hours: 3
• CHM 2046L - Chemistry Fundamentals Laboratory Credit Hours: 1
• or
• BSC 2010C - Biology I Credit Hours: 4 (GEP/CPP)
• BSC 2011C - Biology II Credit Hours: 4
• or
  • PHY 2048C - General Physics Using Calculus I (or PHY 2048 and PHY 2048L) Credit Hours: 4 (GEP/CPP)
  • PHY 2049C - General Physics Using Calculus II (or PHY 2049 and PHY 2049L) Credit Hours: 4

Core: Additional Requirements (18 Credit Hours)

Substitution of COT 3100 for MHF 3302 is possible with approval of Department Undergraduate Coordinator.

• MAA 4226 - Advanced Calculus I Credit Hours: 4
• MAS 3105 - Matrix and Linear Algebra Credit Hours: 4
• MAS 3106 - Linear Algebra Credit Hours: 4
• MAS 4301 - Abstract Algebra I Credit Hours: 3
• MHF 3302 - Logic and Proof in Mathematics Credit Hours: 3

Core Requirements: Advanced Level

• None

Restricted Electives

• Students must select one of the following tracks.

General Mathematics Track (18 Credit Hours)

• Select 3 credit hours from 4000 or 5000 level courses with an MAP or MAT prefix offered by the Department of Mathematics Credit Hours: 3
• Select 3 credit hours from 4000 or 5000 level courses with an MAA, MAD, MAS or MTG prefix offered by the Department of Mathematics, except MTG 4212.
  Credit Hours: 3
• Select an additional 12 credits from 4000 or 5000 level courses offered by the Department of Mathematics except MTG 4212 or MHF 4404. Credit Hours: 12
• Additional Mathematics courses can be taken as approved.

Mathematical Biology Track (37 Credit Hours)

Track Prerequisites: (4 Credit Hours)

• BSC 2010C - Biology I Credit Hours: 4 (GEP/CPP)
• BSC 2011C - Biology II Credit Hours: 4 (CPP)
• CHM 2045C - Chemistry Fundamentals I Credit Hours: 4 (GEP)
• CHM 2046 - Chemistry Fundamentals II Credit Hours: 3
• CHM 2046L - Chemistry Fundamentals Laboratory Credit Hours: 1

Take all of the following: (33 Credit Hours)

• CHM 2210 - Organic Chemistry I Credit Hours: 3
• CHM 2211 - Organic Chemistry II Credit Hours: 3
• MAP 4484 - Mathematical Biology Credit Hours: 3
• Any 4000 or 5000 level course with an MAP or MAT prefix offered by the Department of Mathematics Credit Hours: 3
• Any 4000 or 5000 level course with an MAA, MAD, MAS or MTG prefix offered by the Department of Mathematics except MTG 4212 Credit Hours: 3
• Select 9 credit hours from lecture courses listed in the restricted electives within the Biology and/or Biomedical Sciences programs. Credit Hours: 9
• Take 9 credits of Statistics at least 6 credit hours of which are at the upper division (3000-4999) level offered by the Department of Statistics and Data Science. Credit Hours: 9
• Additional courses can be taken as approved.

Mathematical Economics Track (36 Credit Hours)

Track Prerequisites:

• ECO 2023 - Principles of Microeconomics Credit Hours: 3 (GEP)

Take all of the following: (30 Credit Hours)

• ECO 2013 - Principles of Macroeconomics Credit Hours: 3
• ECO 3101 - Intermediate Microeconomics Credit Hours: 3
• ECO 3203 - Intermediate Macroeconomics Credit Hours: 3
• ECO 3410 - Mathematical Economics Credit Hours: 3
• ECO 4412 - Econometrics I Credit Hours: 3
• MAP 4113 - Probability, Random Processes and Applications Credit Hours: 3
• MAP 4640 - Financial Mathematics Credit Hours: 3
• STA 2023 - Statistical Methods I Credit Hours: 3
• STA 4321 - Statistical Theory I Credit Hours: 3
• Select 3 credit hours from 4000 or 5000 level courses with an MAA, MAD MAS or MTG prefix offered by the Department of Mathematics except MTG 4212 Credit Hours: 3
• Additional courses can be taken as approved.

And select six credit hours from the following: (6 Credit Hours)

• ECO 3703 - International Microeconomics Credit Hours: 3
• ECO 4504 - Public Economics Credit Hours: 3
• ECO 4713 - International Macroeconomics Credit Hours: 3
• ECP 4303 - Environmental and Natural Resource Economics Credit Hours: 3
• ECP 4403 - Industrial Organization Credit Hours: 3
• STA 4322 - Statistical Theory II Credit Hours: 3
• Additional courses can be taken as approved.

Computational Track (36 Credit Hours)

Track Prerequisites:

• COP 3502C - Computer Science I Credit Hours: 3 (GEP/CPP/Core)

Take all of the following: (27 Credit Hours)

• COP 3503C - Computer Science II Credit Hours: 3
• MAP 4303 - Ordinary Differential Equations II Credit Hours: 3
• MAP 4341 - Introduction to Partial Differential Equations Credit Hours: 3
• MAP 4371 - Numerical Methods for Differential Equations Credit Hours: 3
• MAP 4384 - Numerical Methods for Computational Sciences Credit Hours: 3
• STA 2023 - Statistical Methods I Credit Hours: 3
• STA 4321 - Statistical Theory I Credit Hours: 3
• Select 3 credit hours from 4000 or 5000 level courses with an MAA, MAD, MAS or MTG prefix offered by the Department of Mathematics except MTG 4212 Credit Hours: 3
• Select an additional 3 credits from 4000 or 5000 level courses offered by the Department of Mathematics except for MTG 4212 or MHF 4404 Credit Hours: 3

And select nine credit hours from the following: (9 Credit Hours)

• COP 3402 - Systems Software Credit Hours: 3
• COP 4020 - Programming Languages I Credit Hours: 3
• COT 4210 - Discrete Structures II Credit Hours: 3
• COP 4331C - Processes for Object-Oriented Software Development Credit Hours: 3
• COP 4600 - Operating Systems Credit Hours: 3
• EEL 4768 - Computer Architecture Credit Hours: 3
• Additional courses can be taken as approved.

Engineering/Physics Track (36 Credit Hours)

Track Prerequisites:

• PHY 2048C - General Physics Using Calculus I Credit Hours: 4 (GEP/CPP/Core)
• or
• PHY 2049C - General Physics Using Calculus II Credit Hours: 4 (CPP/Core)

Take all of the following courses: (12 Credit Hours)

• MAA 4402 - Introduction to Complex Variables Credit Hours: 3
• MAP 4103 - Mathematical Modeling I Credit Hours: 3
• MAP 4341 - Introduction to Partial Differential Equations Credit Hours: 3
• PHY 3101 - General Physics Using Calculus III Credit Hours: 3

Select One: (3 Credit Hours)

• EGN 3321 - Engineering Analysis-Dynamics Credit Hours: 3
• MAP 4303 - Ordinary Differential Equations II Credit Hours: 3
• MAP 5435 Advanced Mathematics for Engineers
• PHZ 3113 - Introduction to Theoretical Methods of Physics Credit Hours: 3

Select One: (3 Credit Hours)

• COT 4500 - Numerical Calculus Credit Hours: 3
• EGN 3211 - Engineering Analysis and Computation Credit Hours: 3
• EGN 3420 - Engineering Analysis Credit Hours: 3
• MAP 4371 - Numerical Methods for Differential Equations Credit Hours: 3
• MAP 4384 - Numerical Methods for Computational Sciences Credit Hours: 3
• PHZ 3151 - Computer Methods in Physics Credit Hours: 3

Select One: (3 Credit Hours)

• EGN 3310 - Engineering Analysis-Statics Credit Hours: 3
• PHY 3220 - Mechanics I Credit Hours: 3

Select One: (3 Credit Hours)

• EGN 3343 - Thermodynamics Credit Hours: 3
• EGN 3358 - Thermo-Fluids-Heat Transfer Credit Hours: 3
• PHY 3513 - Thermal and Statistical Physics Credit Hours: 3

Select at least six hours: (6 Credit Hours)

• CES 4100C - Structural Analysis I and Lab Credit Hours: 4
• EAS 3101 - Fundamentals of Aerodynamics Credit Hours: 3
• EEL 3004C - Linear Circuits I Credit Hours: 3
• EGM 3601 - Solid Mechanics Credit Hours: 3
• EGN 3331C - Mechanics of Materials Credit Hours: 3
• ESI 4312 - Deterministic Methods for Operations Research Credit Hours: 3
• PHY 4604 - Wave Mechanics I Credit Hours: 3
• PHY 4605 - Wave Mechanics II Credit Hours: 3

Select at least six hours: (6 Credit Hours)

• CWR 3201 - Engineering Fluid Mechanics Credit Hours: 3
• EAS 4105 - Flight Mechanics Credit Hours: 3
• EAS 4200 - Analysis & Design of Aerospace Structures Credit Hours: 3
• EAS 4400 - Spacecraft Attitude Dynamics Credit Hours: 3
• EAS 4505 - Orbital Mechanics Credit Hours: 3
• EEE 3342C - Digital Systems Credit Hours: 3
• EEL 3470 - Electromagnetic Fields Credit Hours: 3
• EEL 3552C - Signal Analysis and Analog Communication Credit Hours: 4
• EEL 3657 - Linear Control Systems Credit Hours: 3
• EEL 3801C - Computer Organization Credit Hours: 4
• EEL 4742C - Embedded Systems Credit Hours: 3
• EEL 4750 - Digital Signal Processing Fundamentals Credit Hours: 3
• EEL 4832 - Engineering Applications of Computer Methods Credit Hours: 3
• EEL 4851C - Engineering Data Structures Credit Hours: 4
• EGN 3365 - Structure and Properties of Materials Credit Hours: 3
• EGN 3613 - Engineering Economic Analysis Credit Hours: 2
• EIN 4333 - Production and Distribution Systems Credit Hours: 3
• EMA 4223 - Fundamentals of Mechanical Behavior of Materials Credit Hours: 3
• EML 3262 - Kinematics of Mechanisms Credit Hours: 3
• EML 3701 - Fluid Mechanics I Credit Hours: 3
• EML 4142 - Heat Transfer Credit Hours: 3
• EML 4225 - Introduction to Vibrations and Controls Credit Hours: 3
• EML 4313 - Intermediate System Dynamics and Controls Credit Hours: 3
• EML 4703 - Fluid Mechanics II Credit Hours: 3
• ENV 4561 - Advanced Environmental Engineering Operations & Processes Credit Hours: 3
• ESI 4234 - Quality Engineering Credit Hours: 3
• ESI 4523 - Systems Simulation Credit Hours: 3
• PHY 3323 - Electricity and Magnetism I Credit Hours: 3
• PHY 4324 - Electricity and Magnetism II Credit Hours: 3
• STA 4321 - Statistical Theory I Credit Hours: 3
• STA 4322 - Statistical Theory II Credit Hours: 3

Select One: (3 Credit Hours)

• MAD 4203 - Introduction to Combinatorics Credit Hours: 3
• MAD 4301 - Introduction to Graph Theory Credit Hours: 3
• Additional courses can be taken as approved.

Mathematical Data Analysis Track (30 credit hours)

• MAD 4203 - Introduction to Combinatorics Credit Hours: 3
• MAD 4301 - Introduction to Graph Theory Credit Hours: 3
• MAP 4112 - Mathematical Foundations of Machine Learning and Artificial Intelligence Credit Hours: 3
• MAP 4113 - Probability, Random Processes and Applications Credit Hours: 3
• MAP 4191 - Mathematical Modeling of Data Credit Hours: 3
• MAP 4193 Topological Data Analysis
• Take 12 credit hours of course work of which at least 6 credit hours is in upper-division (3000-4999) level courses offered by the Departmentof Statistics and Data Science, and 6 credits hours of which are in 4000 level (4000-4999) level courses in the Department of Computer Science. Credit Hours: 12

Capstone Requirements

• Students are urged to take this course as early as is practicable in their program.

• MAA 4226 - Advanced Calculus I Credit Hours: 4

Electives

• If track allows, select electives primarily from upper level courses and with departmental advisor's approval. May be outside of the department.

Foreign Language Requirements

Admissions

• Two years high school or one year college language (or equivalent proficiency exam) prior to graduation.

Graduation

• None

Additional Requirements

• None

Required Minors

• None

Departmental Exit Requirements

• Earn a grade of "C" (2.0) or better in each course used to satisfy the degree program.
• Students must achieve a minimum cumulative GPA of 2.0 in all courses satisfying major requirements.
• Participate in an exit interview.
• Fulfill Exit Examination requirement.

University Minimum Exit Requirements

• A 2.0 UCF GPA
• 42 semester hours of upper division credit completed
• 60 semester hours earned after CLEP awarded
• 30 of the last 39 hours of course work must be completed in residency at UCF.
• A maximum of 45 hours of extension, correspondence, CLEP, Credit by Exam, and Armed Forces credits permitted.
• Complete the General Education Program, the Gordon Rule, and nine hours of Summer credit.

Total Undergraduate Credit Hours Required: 120

Additional Information

Honors In Major

• Application and admission through the Department and the Burnett Honors College. More information about Honors in the Major can be found at honors.ucf.edu/research
• Fulfill University requirements for Honors in the Major.

Related Programs

• Aerospace Engineering (B.S.A.E.)
• Biology (B.S.)
• Biomedical Sciences (B.S.)
• Chemistry (B.S.)
• Computer Science (B.S.)
• Economics (B.S.)
• Electrical Engineering - Accelerated Undergraduate-Graduate (B.S.E.E. / M.S.E.E.)
• Industrial Engineering (B.S.I.E.)
• Secondary Education, Mathematics Education Track (B.S.)
• Mechanical Engineering (B.S.M.E.)
• Physics (B.S.)
• Statistics (B.S.)

Certificates

• None

Related Minors

• Actuarial Science Minor
• Bioengineering Minor
• Biology Minor
• Biomedical Sciences (B.S.)
• Chemistry Minor
• Computer Science Minor
• Economics Minor
• Education Minor
• Environmental Studies Minor
• Information Technology Minor
• Mathematics Minor
• Mathematics Education Minor
• Physics Minor
• Statistics Minor
• Technological Entrepreneurship Minor

Advising Notes

• Students shoudl consult with a department advisor.
• Students with adequate preparation can consult with the department undergraduate advisor on substituting graduate classes for departmental electives.
• Contact your college advisor in the College of Sciences Advising Services (COSAS) office (CSB 250) for more information about overall progress toward your degree, GEP and other university requirements, academic probation, special problems as well as general academic advising.

Transfer Notes

• Lower division courses do not substitute for upper division courses.
• Courses transferred from private and out-of-state schools must be evaluated for equivalency credit. The student must provide all supporting information.
• Submit your requests for course evaluations at https://sciences.ucf.edu/cosas/ and click on "COS Course Evaluation".

Acceptable Substitutes for Transfer Courses

• The following substitutions are acceptable for common program prerequisites if taken as part of the AA course work prior to transferring to UCF:
  • Computer Programming: may use any programming course with a COP prefix.
  • Laboratory Science: may use any GLY, PHY, CHM or BSC course with a lab designed for science majors; however, the biology, chemistry and physics classes are core requirements and still must be taken.

Program Academic Learning Compacts

• Program Academic Learning Compacts (student learning outcomes) for undergraduate programs are located at: http://www.oeas.ucf.edu/alc/academic_learning_compacts.htm