BA Math/BS Applied Math Learning Objectives
- Goal 1: The Ability to Use and Construct Logical Arguments
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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
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- Goal 2: The Ability to Communicate Mathematics Effectively
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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
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- Goal 3: The Ability to Perform Standard Mathematical Computations
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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
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- Goal 4: The Ability to Use Technology to Solve Mathematical Problems
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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
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- Goal 5: The Ability to Use Mathematical Model to Solve Practical Problems
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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
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