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School of Natural Sciences and Mathematics
Mathematics
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Mission |
Outcomes |
Assessment |
Faculty |
Student Work |
Departmental Learning Goals and Objectives
| Goal I:
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(Knowledge) Students will develop a fundamental
understanding of the main branches of mathematics while
acquiring depth in mathematics.
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| OBJECTIVES: |
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• Demonstrate knowledge of calculus and the
ability to use calculus in applications
• Demonstrate knowledge of logic and foundations
• Demonstrate knowledge of geometry
• Demonstrate knowledge of algebraic structures
• Demonstrate knowledge of probability and
statistics
• Demonstrate knowledge of analysis |
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| Goal II:
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(Reasoning) Students will develop a fundamental
understanding of logical inference and mathematical reasoning.
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| OBJECTIVES: |
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• Formulate conjectures by considering
examples that move from the specific to the general
• Distinguish between valid and fallacious
arguments
• Understand and apply important results in key
mathematical areas, with the ability to provide proofs of
these and related results
• Appreciate proof as the characteristic and
organizing principle of Mathematics.
• Understand that there is no algorithm for
proof
• Use a variety of techniques – such as,
mathematical induction, proof by contradiction, or direct
application of axioms and previously proven theorems – to
prove propositions
• Apply knowledge from one branch of mathematics
to another and from mathematics to other disciplines. |
| Goal III:
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(Communication) Students will demonstrate the ability to
communicate mathematical thought effectively.
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| OBJECTIVES: |
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• Demonstrate communication skills to
acquire, develop, and convey mathematical knowledge with
ease and clarity
• Demonstrate communication in mathematics in
oral presentations; written assignments; responding to
questions both in formal class settings and in group
settings; and explaining mathematics as part of tutoring
• Demonstrate the ability to present numerical,
graphical, and symbolic arguments. |
| Goal IV:
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(Technology) Students will demonstrate a basic
understanding of technology and demonstrate the skill to use
technology.
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OBJECTIVES: Understand both the strengths and
limitations of the usual display of quantitative
information
Competently use calculators, spreadsheets, high level
programming languages, specialized mathematical and
statistical software, and/or other appropriate
technology to:
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• Implement mathematical algorithms
• Solve mathematical problems
• Model complex systems
• Analyze data using statistical methods
• Formulate and test conjectures
• Represent and communicate mathematical ideas,
principles, and concepts. |
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