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
