Mathematics : Degree Outcomes

Bachelor of Arts

After completing the requirements for the BA Mathematics Degree, the students will be able to do the following:

1. Use a problem-solving approach to investigate and understand mathematical content;
2. Formulate and solve problems from both mathematical and everyday situations;
3. Communicate mathematical ideas in writing, using everyday and mathematical language;
4. Communicate mathematical ideas orally, using both everyday and mathematical language;
5. Make and evaluate mathematical conjectures and arguments and validate their own mathematical thinking;
6. Show an understanding of the interrelationships within mathematics;
7. Connect mathematics to other disciplines and real-world situations;
8. Understand and apply numerical computation and estimation techniques and extend them to algebraic expressions;
9. Understand the role of axiomatic systems in different branches of mathematics;
10. Have a firm conceptual grasp of limit, continuity, differentiation and integration, and a thorough background in the techniques and applications of calculus and advanced analysis;
11. Understand and apply the major concepts of linear algebra;
12. Understand the major concepts of abstract algebra.

Bachelor of Arts - Teaching

After completing the requirements for the B.A. in Mathematics / Teaching Secondary option, the student will be able to do the following:

1. Use a problem-solving approach to investigate and understand mathematical content;
2. Formulate and solve problems from both mathematical and everyday situations;
3. Communicate mathematical ideas in writing, using everyday and mathematical language;
4. Communicate mathematical ideas orally, using both everyday and mathematical language.
5. Make and evaluate mathematical conjectures and arguments and validate their own mathematical thinking;
6. Show an understanding of the interrelationships within mathematics;
7. Connect mathematics to other disciplines and real-world situations;
8. Understand and apply concepts of number, number theory and number systems;
9. Understand and apply numerical computation and estimation techniques and extend them to algebraic expressions;
10. Understand and apply the process of measurement;
11. Use geometric concepts and relationships to describe and model mathematical ideas and real-world constructs;
12. Use both descriptive and inferential statistics to analyze data, make predictions, and make decisions;
13. Understand and use the concepts of probability;
14. Use algebra to describe patterns, relations and functions and to model and solve problems;
15. Understand the role of axiomatic systems in different branches of mathematics;
16. Have a firm conceptual grasp of limit, continuity, differentiation and integration, and a thorough background in the techniques and applications of calculus;
17. Have knowledge of the concepts and applications of discrete mathematics;
18. Use mathematical modeling to solve problems from nonmathematical disciplines;
19. Understand the major concepts of both Euclidean and non-Euclidean geometries;
20. Understand and apply the major concepts of linear algebra;
21. Understand the major concepts of abstract algebra;
22. Use calculators in computational and problem-solving situations;
23. Use computer software to explore and solve mathematical problems;
24. Understand the historical development of mathematics and the personalities involved in this development;

Bachelor of Science

After completing the requirements for the B.S. degree in Mathematics, the student will be able to do the following:

1. Use a problem-solving approach to investigate and understand mathematical content;
2. Formulate and solve problems from both mathematical and everyday situations;
3. Communicate mathematical ideas in writing, using everyday and mathematical language;
4. Communicate mathematical ideas orally, using both everyday and mathematical language.
5. Make and evaluate mathematical conjectures and arguments and validate their own mathematical thinking;
6. Show an understanding of the interrelationships within mathematics;
7. Connect mathematics to other disciplines and real-world situations, especially applications to physics;
8. Understand and apply numerical computation and estimation techniques and extend them to algebraic expressions;
9. Understand the role of axiomatic systems in different branches of mathematics;
10. Have a firm conceptual grasp of limit, continuity, differentiation and integration, and a thorough background in the techniques and applications of calculus and applied analysis;
11. Understand and apply the major concepts of linear algebra;
12. Understand the major concepts of abstract algebra;
13. Use both descriptive and inferential statistics to analyze data, make predictions, and make decisions;
14. Understand and use the concepts of probability;
15. Understand and use the concepts of differential equations;
16. Be able to use a programming language in mathematical applications.

Bachelor of Science - Actuarial

After completing the requirements for the BS Mathematics / Actuarial Science option, the student will be able to do the following:

1. Use statistical methods to analyze and model real-world data;
2. Understand actuarial problems and formulate them in mathematical, probabilistic and statistical terms;
3. Know thoroughly the major probability distributions and be able to apply them to actuarial applications;
4. Communicate the results of mathematical and statistical solutions of actuarial problems in writing, using everyday and mathematical language;
5. Communicate mathematical and statistical ideas and solutions orally, using both everyday and mathematical language;
6. Apply concepts of differential and integral calculus to the solution of actuarial problems;
7. Apply numerical concepts of linear algebra to the solution of actuarial problems;
8. Understand general concepts of business, including basic principles of accounting, both micro and macro economics and finance;
9. Understand the basic concepts of discrete and continuous probability and stochastic processes;
10. Understand and apply probabilistic methods to risk theory applications;
11. Understand and be able to apply the theory of interest to financial and actuarial applications;
12. Employ simulation techniques to analyze and solve dynamic and complex stochastic and mathematical models.
13. Use a programming language like C++ to solve specific applications from mathematics, statistics, economics and finance.
14. Use Visual Basic to automate routine tasks in Microsoft Excel and Microsoft Access.