Bachelor of Science
The mathematics program is designed for students interested in entering careers in business and industry requiring strong analytical and problemsolving skills, or pursuing graduate degrees in mathematics or other disciplines requiring a robust background in the mathematical sciences. Three emphases are available if students wish to focus on a particular area of mathematics, which include statistics, pure, and applied mathematics. Career areas for which the mathematics major is appropriate preparation include actuarial science, computer science, operations research, and a variety of research and engineering applications. Students considering pursuing a mathematics degree should plan to begin the calculus sequence as early as possible in their college careers.
Program Requirements
Code  Title  Credits 

Required Courses  
MTH2210  Calculus I  4 
MTH2220  Calculus II  4 
MTH2230  Calculus III  4 
MTH3240  Probability and Statistics I  4 
MTH3250  Linear Algebra  4 
MTH3270  Discrete Mathematics  4 
MTH4990  Senior Capstone in the Mathematical Sciences I  2 
MTH4991  Senior Capstone in the Mathematical Sciences II  2 
Selected Courses  
Select 12 semester hours of the following:  12  
Object Oriented Programming  
Selected Topics in Mathematics  
Selected Topics in Mathematics  
Selected Topics in Mathematics  
Probability and Statistics II  
Biostatistics  
Differential Equations  
Modern Geometry  
Numerical Analysis  
Data Science I  Analysis and Modeling  
Data Science II  Advanced Modeling and Statistical Programming  
Business Data Analytics  
Directed Study in Mathematics  
Directed Study in Mathematics  
Number Theory  
Introduction to Real Analysis  
Abstract Algebra  
Research in Mathematics  
Independent Study in Mathematics  
Other Required Courses  
CSC1700  Introduction to Computer Programming  4 
Total Credits  44 
Students may choose to focus their study of mathematics by following one of the following three emphases (not required for degree completion):
Pure Mathematics Emphasis
Fulfilled by taking the three selected courses. This is especially appropriate for students wishing to pursue graduate studies in mathematics.
Code  Title  Credits 

MTH3320  Modern Geometry  4 
MTH4300  Introduction to Real Analysis  4 
MTH4450  Abstract Algebra  4 
Total Credits  12 
Applied Mathematics Emphasis
Fulfilled by taking the three selected courses. This is especially appropriate for students wishing to pursue careers in business and industry or applied graduate degrees.
Code  Title  Credits 

MTH3300  Differential Equations  4 
MTH3490  Numerical Analysis  4 
MTH4300  Introduction to Real Analysis  4 
Total Credits  12 
Statistics Emphasis
Fulfilled by taking the three selected courses. This is especially appropriate for students wishing to pursue careers in quantitative analysis or a graduate degree in statistics.
Code  Title  Credits 

MTH3260  Probability and Statistics II  4 
MTH3505  Data Science I  Analysis and Modeling  4 
MTH3510  Data Science II  Advanced Modeling and Statistical Programming  4 
Total Credits  12 
Undergraduate Degree Requirements
A student who graduates from Aurora University with a baccalaureate degree will have met the following requirements:
 Completion of all requirements for an approved major (with no grades lower than “C”).
 Overall completion of at least 120 semester hours of coursework with a GPA of at least 2.0 on a 4.0 scale (a course may be utilized only once in application toward a degree requirement, unless otherwise noted in the academic regulations). The 120 semester hours of coursework must include:
 At least 52 semester hours completed at a senior college.
 Residency Requirement  At least 30 semester hours completed at Aurora University, including the last 24 semester hours in the degree, and including at least 18 semester hours in the major. (Portfolio assessment credit, life and vocational experience credit, offcampus experience credit, examination credit, participation credit, and block credit, shall not count toward the residency requirement).
 UpperDivision Requirement  A minimum of 30 semester hours numbered 3000 or above. Of these 30 semester hours, 15 semester hours must lie within the major and 15 semester hours must be completed at Aurora University.
 Completion of all General Education requirements (with no grades lower than “C”), as follows:
 Quantitative and Formal Reasoning competency requirement
 ENG1000 Introduction to Academic Writing
 IDS1200 Discover What Matters or GWC1000 or IDS3040 Global Justice
 IDS1150 First Year Experience or GWC4000  Not required for Transfer or AU Online students)
 Satisfactory participation in the junioryear mentoring and assessment process designed to guide students to successful completion of their degree and to encourage planning for next steps beyond graduation. (IDS3500 Junior Mentoring Program I and IDS3550 Junior Mentoring Program II  Not required for ADC or AU Online students)
 Distribution Requirements
Students will complete one approved course^{1} from each of the following categories: Artistic Literacy
 Cultural Literacy
 Human Inquiry
 Scientific Inquiry
In addition to the above, ADC and Online students will also complete one approved course^{1} from the following category:
 Integration and Application
^{1}  Only courses that are approved to meet the distribution requirement can be used toward this requirement. See the list of approved courses for available options. Courses taken to meet distribution requirements are 4 semester hours apiece, with the following exceptions:

Learning Outcomes
 Knowledge of Mathematical Problem Solving: Students will be able to solve correctly a wide variety of problems using both basic mathematics skills and advanced mathematical techniques and to apply these techniques to other disciplines. (Mathematical content and its application) [Communication, Critical Thinking]
 Apply and adapt a variety of appropriate strategies to solve problems
 Solve problems that arise in mathematics and those involving mathematics in other contexts
 Build new mathematical knowledge through problem solving
 Monitor and reflect on the process of mathematical problem solving
 Knowledge of Reasoning and Proof: Students will learn to reason and think in abstract terms, construct correct and coherent proofs, and recognize valid mathematical arguments. (Logic and reasoning) [Critical Thinking]
 Recognize reasoning and proof as fundamental aspects of mathematics
 Make and investigate mathematical conjectures
 Develop and evaluate mathematical arguments and proofs
 Select and use various types of reasoning and methods of proof
 Knowledge of Mathematical Communication: Students will communicate mathematics clearly both in written and verbal forms. (Communication Skills) [Communication, Critical Thinking]
 Communicate their mathematical thinking coherently and clearly to peers, faculty, and others
 Use the language of mathematics to express ideas precisely
 Organize mathematical thinking through communication
 Analyze and evaluate the mathematical thinking and strategies of others
 Knowledge of Mathematical Connections: Students will learn to draw connections among mathematical branches and related disciplines. (Interconnection between mathematical branches and related disciplines (science)) [Communication, Critical Thinking]
 Recognize and use connections among mathematical ideas
 Recognize and apply mathematics in contexts outside of mathematics
 Demonstrate how mathematical ideas interconnect and build on one another to produce a coherent whole
 Knowledge of Mathematical Representation: Students will learn to represent and utilize mathematical concepts in various ways. (Representation and utilization of mathematical concepts) [Communication, Critical Thinking]
 Use representations to model and interpret physical, social, and mathematical phenomena
 Create and use representations to organize, record, and communicate mathematical ideas
 Select, apply, and translate among mathematical representations to solve problems
 Knowledge of Technology: Students will use technology to deepen mathematical understanding and to enhance problemsolving skills. (Use of technology) [Critical Thinking]
 Use knowledge of mathematics to select and use appropriate technological tools, such as but not limited to, spreadsheets, dynamic graphing tools, computer algebra systems, dynamic statistical packages, graphing calculators, datacollection devices, and presentation software.