Introduction to Higher Mathematics
    Dr. Warren Esty

The course emphasizes        

true or false
proofs
counterexamples
logic
justifications
true vs. justified
precision in statements
connections between facts
a new attitude
    an attitude toward mathematics that emphasizes truth, reasoning, and justification
    (as opposed to algorithms for calculation. There is very little calculation in this course.)

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Important things you will eventually understand

conditional sentences
generalizations
conjectures
counterexamples
    simpler counterexamples are better
existence statements
quantifiers (for all, there exists)
negation

logical forms
    basic logical forms, for example, the contrapositive
    the logical equivalence called “a hypothesis in the conclusion”

concept definitions vs. concept images

definitions in “sentence-form”

prior results
proofs have two components, form and prior results

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