Mathematics Majors
Mathematics (B.S.)
Always consult the undergraduate catalog for the most current information.
The following information is from the 20122013 catalog.
The university offers some courses with the same prefix and number as listed in requirements 1, 2, and 3, but with the word Honors in the title. These are for students in the Honors Program.
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.
 Coop or internship credit cannot be used in the major.
 Students should consult with a departmental adviser.
 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.
 All mathematics courses, except the following, must be either taken from, or approved by, the Department of Mathematics at UCF:
MAC 2311C  Calculus with Analytic Geometry I  4 hrs  
MAC 2312  Calculus with Analytic Geometry II  4 hrs  
MAC 2313  Calculus with Analytic Geometry III  4 hrs  
MAP 2302  Ordinary Differential Equations I  3 hrs  
Note: the following courses will not satisfy any Math degree requirements:  
MTG 4212  Modern Geometries  4 hrs  
MHF 4404  History of Mathematics  3 hrs 
1. UCF General Education Program (GEP)  (38 hrs)  


A: Communication Foundations  (9 hrs)  
B: Cultural & Historical Foundations  (9 hrs)  
C: Mathematical Foundations  (7 hrs)  
Required  MAC 2311C  Calculus with Analytic Geometry I  4 hrs  
Required  COP 3502C  Computer Science I  3 hrs  
D: Social Foundations  (6 hrs)  
1. Depending on concentration, select  3 hrs  
Required  ECO 2023  Principles of Microeconomics or  3 hrs  
Suggested  POS 2041  American National Government  3 hrs  
2. Select a listed course  3 hrs  
E: Science Foundations 
(8 hrs)  


Required  PHY 2048C  Physics for Engineers & Scientists I  4 hrs  
Suggested  BSC 2010C  Biology I  4 hrs 
2. Common Program Prerequisites (CPP)  (15 hrs)  


COP 3502C  Computer Science I  GEP  
MAC 2311C  Calculus with Analytic Geometry I  GEP  
MAC 2312  Calculus with Analytic Geometry II  4 hrs  
MAC 2313  Calculus with Analytic Geometry III  4 hrs  
MAP 2302  Ordinary Differential Equations I  3 hrs  
Select from the following:  4 hrs  
CHM 2045C  Chemistry Fundamentals I  GEP  
or  
CHM 2040  Chemistry Fundamentals IA and  GEP  
CHM 2041  Chemistry Fundamentals IB  GEP  
or  
BSC 2010C  Biology I or  GEP  
PHY 2048C  Physics for Engineers & Scientists I  GEP 
3. Core Requirements: Basic Level  (11 hrs)  


Basic Core: Required, satisfies the CPP  
COP 3502C  Computer Science I and  GEP/CPP  
MAC 2311C  Calculus with Analytic Geometry I and  GEP/CPP  
MAC 2312  Calculus with Analytic Geometry II and  CPP  
MAC 2313  Calculus with Analytic Geometry III and  CPP  
MAP 2302  Ordinary Differential Equations I  CPP  
Basic Core: Additional requirements  4 hrs  
MAS 3106  Linear Algebra  4 hrs  
and depending on concentration, select either  3 hrs  
Can use for all Concentrations  
MHF 3302  Logic and Proof in Mathematics  3 hrs  
or acceptable in Computational Concentration  
COT 3100C  Introduction to Discrete Structures  3 hrs  
Select one Science sequence  4 hrs  


Biology:  4 hrs  




BSC 2010C  Biology I and  GEP/CPP  
BSC 2011C  Biology II  4 hrs  
Chemistry:  4 hrs  






CHM 2045C  Chemistry Fundamentals I and  GEP/CPP  
CHM 2046  Chemistry Fundamental II and  2 hrs  
CHM 2046L  Chemistry Fundamentals Laboratory  1 hr  
Physics:  4 hrs  




PHY 2048C  Physics for Engineers & Scientists I and  GEP/CPP  
PHY 2049C  Physics for Engineers & Scientists II  4 hrs 
4. Core Requirements: Advanced Level  (7 hrs)  
MAA 4226  Advanced Calculus I  4 hrs  
MAS 4301  Abstract Algebra I  3 hrs 
5. Restricted Electives  


A. General Concentration  18 hrs  
Select any 4000 or 5000 level courses offered by the Department of Mathematics.  12 hrs  
Select any 4000, or 5000 level course with an MAP or MAT prefix offered by the Department of Mathematics  3 hrs  
Any 4000, or 5000 level course with an MAA, MAD, MAS, MTG prefix, offered by the Department of Mathematics except MTG 4212  3 hrs  
B. Mathematical Biology Concentration  33 hrs  
Students are to have completed these courses in the GEP, CPP or Core Requirements  
BSC 2010C  Biology I  4 hrs  
BSC 2011C  Biology II  4 hrs  
CHM 2045C  Chemistry Fundamentals I  4 hrs  
or the two semester equivalent  
CHM 2046  Chemistry Fundamentals II  3 hrs  
CHM 2046L  Chemistry Fundamentals Laboratory  1 hr  
CHM 2210  Organic Chemistry I  3 hrs  
CHM 2211  Organic Chemistry II  3 hrs  
MAP 4484  Mathematical Biology I  3 hrs  
PHY 2048C  Physics for Engineers & Scientists I  4 hrs  
PHY 2049C  Physics for Engineers & Scientists II  4 hrs  
STA 2023  Statistical Methods I  3 hrs  
STA 4321  Statistical Theory I  3 hrs  
STA 4322  Statistical Theory II  3 hrs  
Any 4000, or 5000 level course with an MAP or MAT prefix offered by the Department of Mathematics.  3 hrs  
Any 4000, or 5000 level course with an MAA, MAD, MAS or MTG prefix, offered by the Department of Mathematics, except MTG 4212  3 hrs  
Select from lecture courses listed in the restricted electives within the Biology and/or Biomedical Sciences programs.  9 hrs  
C. Mathematical Economics Concentration  39 hrs  
Students are to have completed this course in the GEP  
ECO 2013  Principles of Macroeconomics  3 hrs  
Complete all of the following  
ECO 2023  Principles of Microeconomics  3 hrs  
ECO 3101  Intermediate Microeconomics  3 hrs  
ECO 3203  Intermediate Macroeconomics  3 hrs  
ECO 3410  Mathematical Economics  3 hrs  
ECO 4412  Econometrics  3 hrs  
STA 2023  Statistical Methods I  3 hrs  
STA 4321  Statistical Theory I  3 hrs  
Select from the following  9 hrs  
ECO 3703  Intermediate Microeconomics or  3 hrs  
ECO 4504  Public Economics or  3 hrs  
ECO 4713  International Macroeconomics or  3 hrs  
ECP 4303  Environmental and Natural Resource Economics or  3 hrs  
ECP 4403  Industrial Organization and Game Theory or  3 hrs  
STA 4322  Statistical Theory II  3 hrs  
Select 1  3 hrs  
MAP 4113  Probability, Random Processes and Applications or  3 hrs  
MAP 4171  Optimization or  3 hrs  
MAP 4303  Ordinary Differential Equations II or  3 hrs  
MAP 4341  Introduction to Partial Differential Equations or  3 hrs  
MAP 4371  Numerical Method for Differential Equations or  3 hrs  
MAP 4384  Numerical Methods for Computational Sciences  3 hrs  
Select 1  3 hrs  
MAA 4402  Introduction to Complex Variables or  3 hrs  
MAD 4203  Introduction to Combinatorics or  3 hrs  
MAD 4301  Introduction to Graph Theory  3 hrs  
D. Computational Concentration  46 hrs  
Students are to have completed this course in the GEP and CPP  
COP 3502C  Computer Science I  3 hrs  
Complete all of the following  
COP 3503C  Computer Science II  4 hrs  
MAP 4303  Ordinary Differential Equations II  3 hrs  
MAP 4341  Introduction to Partial Differential Equations  3 hrs  
STA 2023  Statistical Methods I  3 hrs  
STA 4321  Statistical Theory I  3 hrs  
STA 4322  Statistical Theory II  3 hrs  
Select 1  3 hrs  
MAP 4371  Numerical Methods for Differential Equations or  3 hrs  
MAP 4384  Numerical Methods for Computational Sciences  3 hrs  
Select from the following  18 hrs  
COP 3402  Systems Software  3 hrs  
COP 4020  Programming Languages I or  3 hrs  
COP 4331C  Processes for ObjectOriented Software Development or  4 hrs  
COP 4600  Operating Systems or  3 hrs  
COT 4210  Discrete Structures II or  3 hrs  
EEL 4768  Computer Architecture  3 hrs  
Select 1  3 hrs  
MAP 4103  Mathematical Modeling I or  3 hrs  
MAP 4153  Vector and Tensor Analysis or  3 hrs  
MAP 4171  Optimization  3 hrs  
Select 1  3 hrs  
MAA 4402  Introduction to Complex Variables or  3 hrs  
MAD 4203  Introduction to Combinatorics or  3 hrs  
MAD 4301  Introduction to Graph Theory  3 hrs  
E. Engineering/Physics Concentration  42 hrs  
Students are to have completed the following to satisfy the GEP and CPP:  
PHY 2048C  Physics for Engineers & Scientists I  4 hrs  
PHY 2049C  Physics for Engineers and Scientists II  4 hrs  
Complete all the following  18 hrs  
EGN 3321  Engineering AnalysisDynamics and  3 hrs  
MAA 4402  Introduction to Complex Variables and  3 hrs  
MAP 4103  Mathematical Modeling I and  3 hrs  
PHY 3101  Physics for Engineers and Scientists III and  3 hrs  
MAP 4303  Ordinary Differential Equations II and  3 hrs  
MAP 4341  Introduction to Partial Differential Equations  3 hrs  
Select 1  3 hrs  
COT 4500  Numerical Calculus or  3 hrs  
EGN 3420  Engineering Analysis or  3 hrs  
MAP 4371  Numerical Methods for Differential Equations or  3 hrs  
MAP 4384  Numerical Methods for Computational Sciences or  3 hrs  
PHZ 3151  Computer Methods in Physics  3 hrs  
Select 1  3 hrs  
EGN 3310  Engineering AnalysisStatics or  3 hrs  
PHY 3220  Mechanics I  3 hrs  
Select 1  3 hrs  
EGN 3343  Thermodynamics or  3 hrs  
EGN 3358  ThermoFluidsHeat Transfer or  3 hrs  
PHY 3513  Thermal and Statistical Physics  3 hrs  
Select 2  6 hrs  
CES 4100C  Structural Analysis I and Lab or  4 hrs  
EAS 3101  Fundamentals of Aerodynamics or  3 hrs  
EEL 3004  Electrical Networks or  3 hrs  
EGM 3601  Solid Mechanics or  3 hrs  
EGN 3331  Mechanics of Materials or  3 hrs  
EIN 3001  Introduction to Industrial Engineering and Management Systems or  3 hrs  
EML 4220  Vibration Analysis or  3 hrs  
ESI 4312  Operations Research or  3 hrs  
PHY 4604  Wave Mechanics I or  3 hrs  
PHY 4605  Wave Mechanics II  3 hrs  
Select 2  6 hrs  
CWR 3201  Engineering Fluid Mechanics or  3 hrs  
EAS 4105  Flight Mechanics or  3 hrs  
EAS 4200  Analysis & Design of Aerospace Structures or  3 hrs  
EAS 4400  Spacecraft Attitude Dynamics or  3 hrs  
EAS 4505  Orbital Mechanics or  3 hrs  
EEE 3342C  Digital Systems or  3 hrs  
EGN 3365  Structure and Properties of Materials or  3 hrs  
EGN 3613  Engineering Economic Analysis or  2 hrs  
EEL 3470  Electromagnetic Fields or  3 hrs  
EEL 3552C  Analog and Digital Communication Fundamentals or  4 hrs  
EEL 3657  Linear Control Systems or  3 hrs  
EEL 3801C  Computer Organization or  3 hrs  
EEL 4742C  Embedded Systems or  4 hrs  
EEL 4750  Digital Signal Processing Fundamentals or  3 hrs  
EEL 4832  Engineering Applications of Computer Methods or  3 hrs  
EEL 4851C  Engineering Data Structures or  4 hrs  
EIN 4333  Production and Distribution Systems or  3 hrs  
EMA 4223  Fundamentals of Mechanical Behavior of Materials or  3 hrs  
EML 3262  Kinematics of Mechanisms or  3 hrs  
EML 3701  Fluid Mechanics I or  3 hrs  
EML 4142  Heat Transfer or  3 hrs  
EML 4312C  Feedback Control or  3 hrs  
EML 4703  Fluid Mechanics II or  3 hrs  
ENV 4561  Environmental Engineering Operations & Processes II or  3 hrs  
ESI 4234  Quality Engineering or  3 hrs  
ESI 4523C  Systems Simulation or  3 hrs  
PHY 3323  Electricity and Magnetism I or  3 hrs  
PHY 4324  Electricity and Magnetism II or  3 hrs  
STA 4321  Statistical Theory I or  3 hrs  
STA 4322  Statistical Theory II  3 hrs  
Select 1  3 hrs  
MAD 4203  Introduction to Combinatorics or  3 hrs  
MAD 4301  Introduction to Graph Theory  3 hrs 
6. Capstone Requirements
 None
7. Foreign Language Requirements
Admissions
 Two years high school or one year college language (or equivalent proficiency exam) prior to graduation.
Graduation
 None
8. Electives
 Select primarily from upper level courses, with departmental adviser’s approval. May be outside of the department.
9. Additional Requirements
 None
10. Required Minors
 None
11. Departmental Exit Requirements
 Earn a grade of “C” (2.0) or better in each course used to satisfy the degree program.
 Participate in an exit interview.
 Fulfill Exit Examination requirement.
12. University Minimum Exit Requirements
 A 2.0 UCF GPA
 60 semester hours earned after CLEP awarded
 48 semester hours of upper division credit completed
 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 Semester Hours Required
 120
Honors In Major
 None
Related Programs
 Aerospace Engineering
 Biology
 Biomedical Sciences
 Chemistry
 Computer Science
 Economics
 Electrical Engineering
 Industrial Engineering
 Mathematics Education
 Mechanical Engineering
 Physics
 Statistics
Certificates
 Educational Studies
Related Minors
 Actuarial Science
 Bioengineering
 Biology
 Biomedical Sciences
 Chemistry
 Computer Science
 Economics
 Education
 Environmental Studies
 Information Technology
 Mathematics
 Mathematics Education
 Physics
 Statistics
 Technological Entrepreneurship
Advising Notes
 Students with adequate preparation can consult with the department undergraduate advisor on substituting graduate classes for departmental electives.
Transfer Notes
 Lower division courses taken at community colleges do not substitute for Upper Division courses.
 Courses transferred from private and outofstate schools must be evaluated for equivalency credit. The student must provide all supporting information.
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.
Plan of Study
 This is one of numerous possible plans of study. See program description for all requirements. Consult a departmental advisor for alternate, new or more appropriate selections.
 Although all classes are listed as being taken during the academic year, you may be required to complete 9 hours of them during the Summer. Consult with an advisor to determine if you are exempt.
 Prior to enrolling in Chemistry, take Chemistry Placement Test http://chemplacement.sdes.ucf.edu
 Prior to enrolling in Math, take Math Placement Test http://utc.sdes.ucf.edu
Freshman Year – Fall 16 hrs MAC 2311C Calculus with Analytic Geometry I 4 hrs ENC 1101 Composition I 3 hrs GEP 3 hrs GEP 3 hrs GEP 3 hrs Freshman Year – Spring 16 hrs MAC 2312 Calculus with Analytic Geometry II 4 hrs MHF 3302 Logic and Proof in Mathematics 3 hrs ENC 1102 Composition II 3 hrs GEP 3 hrs GEP 3 hrs Sophomore Year – Fall
15 hrsMAC 2313 Calculus with Analytic Geometry III 4 hrs MAS 3105 Matrix and Linear Algebra 4 hrs PHY 2048C Physics for Engineers & Scientists I 4 hrs GEP 3 hrs Sophomore Year – Spring
14 hrsMAP 2302 Ordinary Differential Equations I 3 hrs MAS 3106 Linear Algebra 4 hrs PHY 2049C Physics for Engineers and Scientists II 4 hrs GEP 3 hrs Junior Year – Fall
16 hrsMAA 4226 Advanced Calculus I 4 hrs MAS 4301 Abstract Algebra I 3 hrs COP 3223 Introduction to Programming with C 3 hrs MAP 4341 Introduction to Partial Differential Equations 3 hrs Elective 3 hrs Junior Year – Spring
15 hrsMAA 4227 Advanced Calculus II 3 hrs MAA 4402 Introduction to Complex Variables 3 hrs COP 3502C Computer Science I 3 hrs MAP 4303 Ordinary Differential Equations II 3 hrs Elective 3 hrs Senior Year – Fall
16 hrsMAD 4203 Introduction to Combinatorics 3 hrs MAP 4371 Numerical Methods for Differential Equations 3 hrs Elective 3 hrs Elective 3 hrs Elective 3 hrs Senior Year – Spring
12 hrsMAD 4301 Introduction to Graph Theory 3 hrs MTG 4302 Introduction to Topology 3 hrs Elective 3 hrs Elective 3 hrs
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