Students majoring in mathematics will
- Understand the basic rules of logic,including the role of axioms or assumptions.
- Appreciate the role of mathematical proof in formal deductive reasoning.
- Be able to distinguish a coherent argument from a fallacious one,both in mathematical reasoning and in everyday life.
- Formulate and solve abstract mathematical problems.
- Recognize and appreciate the connection between theory and applications.
- Understand the difference between proofs and other less formal arguments.
- Explain fundamental mathematical concepts or analyses the real world problems to non mathematicians.
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