# BA Math/BS Applied Math Learning Objectives

**Goal 1: The Ability to Use and Construct Logical Arguments**

The ability to reason logically to conclusions, including the ability to use precise definitions and to use various forms of logical argument.

**Specific Learning Objectives to be Assessed:**

- Ability to give direct proofs
- Ability to give proofs by contradiction
- Ability to give proofs by mathematical induction
- Ability to apply definitions to give proofs
- Ability to give proofs and disproofs involving quantified statements

**Goal 2: The Ability to Communicate Mathematics Effectively**

The ability to read mathematics with understanding and to communicate mathematical ideas with clarity and coherence.

**Specific Learning Objectives to be Assessed:**

- Ability to state a problem accurately, articulate assumptions, and describe a method of solution
- Ability to conduct independent investigation of mathematical concepts at the undergraduate level
- Ability to give written reports and oral presentations that include mathematical context which is mathematically accurate, yet accessible to classmates

**Goal 3: The Ability to Perform Standard Mathematical Computations**

**Specific Learning Objectives to be Assessed:**

- Ability to evaluate limits
- Ability to calculate derivatives and integrals
- Ability to determine regions of convergence
- Ability to apply properties of algebraic and transcendental functions

**Goal 4: The Ability to Use Technology to Solve Mathematical Problems**

**Specific Learning Objectives to be Assessed:**

- Ability to write programs to solve mathematical problems
- Ability to use a mathematical programming environment such as MATLAB or Maple
- Ability to interpret numerical results
- Ability to understand that there are limits to numerical accuracy

**Goal 5: The Ability to Use Mathematical Model to Solve Practical Problems**

**Specific Learning Objectives to be Assessed:**

- Ability to extract relevant information from a practical problem and give a mathematical formulation of the problem
- Ability to use numerical results to validate (or modify) a model and to understand the limitation of a model
- Ability to clearly describe models, including an analysis of the strengths and weaknesses of models and their relationship to the underlying problem