# Program Learning Outcomes

The following Program Learning Outcomes have been established by The Master's College faculty to define the areas of knowledge and skills that students graduating from this major degree program should have developed:

### Core Mathematics Program Learning Outcomes:

- Effectively prepare and give oral presentations from research literature in mathematics.
- Demonstrate mastery of the Calculus.
- Demonstrate mastery of Elementary Linear Algebra.
- Demonstrate mastery of Elementary Differential Equations.

### Applied Mathematics Program Learning Outcomes:

- Demonstrate a working knowledge of probability theory.
- Use probability and statistical inferences to draw conclusions.
- Demonstrate a basic working knowledge of the concepts of numerical analysis through the use of computers.
- Demonstrate a working knowledge of mathematical applications in a variety of applied fields.
- Demonstrate mastery of the various methods of discrete mathematics.

### Mathematics Education Program Learning Outcomes:

- Demonstrate a working knowledge of fundamental algebraic structures (e.g., groups, rings, and fields).
- Demonstrate a working knowledge of number theory.
- Demonstrate a basic working knowledge of the key persons and events in the history of mathematics.
- Demonstrate a basic working knowledge of the nature and applications of discrete structures.
- Demonstrate a basic mastery of the principles of Euclidean and non-Euclidean geometries.

### Pure Mathematics Program Learning Outcomes:

- Demonstrate a working knowledge of fundamental algebraic structures (e.g., groups, rings, and fields).
- Demonstrate mastery of the rigorous development and theory of calculus.
- Demonstrate a working knowledge of number theory.
- Demonstrate a basic working knowledge of the key persons and events in the history of mathematics.
- Demonstrate a basic working knowledge of the properties of complex numbers and complex-valued functions.