Programs in the Department of Mathematical Sciences

150 - Mathematics - BA

The following student learning outcomes are currently under review.

1. Students will demonstrate a conceptual understanding of and procedural facility with basic calculus concepts.

2. Students will apply concepts from algebra, geometry, and trigonometry in solving problems involving calculus.

3. Students will use the principles of multiple variable calculus.

4. Students will apply basic set operations.

5. Students will apply basic propositional and predicate logic.

6. Students will use the concepts of relation and equivalence relation.

7. Students will apply fundamental ideas of linear algebra.

8. Students will demonstrate competency with ordinary differential equations and their applications.

9. Students will apply the concept of sequence and infinite series.

10. Students will apply major concepts of abstract algebra.

11. Students will analyze functions of one or more variables.

12. Students will develop and evaluate mathematical arguments and proofs.

13. Students will select and use various types of reasoning and methods of proof.

14. Students will solve application problems that arise in mathematics and those involving mathematics and other contexts.

15. Students will select, apply and translate among mathematical representations to solve problems.

16. Students will communicate mathematical thinking coherently and clearly to peers, faculty and others.

17. Students will use the language of mathematics to express ideas precisely.

18. Students will use knowledge of mathematics to select and use appropriate technological tools, such as, but not limited to, graphing calculators or computer algebra systems (e.g. Mathematica and MATLAB).

19. Students will solve problems using an object oriented programming language and its corresponding operating system.

155 - Mathematics Education - BA

AY 2011-2012 Student Learning Outcomes

1. Candidates apply the process of mathematical problem solving.

2. Candidates construct and evaluate mathematical arguments and proofs.

3. Candidates explain and defend their mathematical thinking.

4. Candidates identify and apply mathematics in a variety of contexts.

5. Candidates create, apply, and translate mathematical representations.

6. Candidates select and make use of appropriate technological tools.

7. Candidates demonstrate a positive disposition toward mathematical processes and mathematical learning.

8. Candidates demonstrate knowledge of mathematical pedagogy.

9. Candidates analyze and explain the mathematics that underlies the properties and procedures used for operations on various sets of numbers.

10. Candidates examine relationships among quantities including functions, represent mathematical relationships, and analyze change.

11. Candidates use spatial visualization and geometric modeling to examine and analyze geometric shapes, structures, and their properties.

12. Candidates apply the concepts and demonstrate procedural facility in calculus.

13. Candidates apply the fundamental ideas of discrete mathematics in the formulation and solution of problems.

14. Candidates design investigations, use appropriate data collection methods, test conjectures, display data and interpret results.

15. Candidates apply and use measurement concepts and tools.

16. Candidates complete field-based experiences in mathematics classrooms.