## Learning Outcomes

### Calculus Foundations

Students must be able to apply principles and methods of differential and integral calculus to both theoretical and applied problems.

### Breadth of Application

Students will demonstrate the ability to apply advanced mathematical principles and constructs to solve problems from at least two of the following content areas: Probability and Statistics, Linear Algebra, Differential Equations, and Logic and Computation,and one of the following content areas: Discrete Mathematics and Multivariate Calculus.

### Mathematical Reasoning

Students must be able to judge the validity of arguments, formulate and test conjectures, and to analyze and construct concise mathematical proofs.

### Mathematical Problem Solving

Students must be able to apply advanced mathematical problem-solving strategies to applied problems. This includes the ability toapply mathematical concepts and models, to select appropriate strategies, andto carry out solutions.

### Mathematical Communication

Students must be able to express complex mathematical ideas orally and in writing using appropriate mathematical symbols, and terminology.