MATH 3A Chapter 1: Math3ALecture1
Course CodeMATH 3A
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Math3A is …
• Not Calc AB
• Not a course which emphasizes computation
• A course which will emphasize definitions, rules, theorems,
applications, and concepts
• A course which will prepare you for Math3B
Today we will discuss
• Sets of real numbers
• Functions of a real variable
• What to expect from limit computations
Real numbers and the "typical sets of real numbers:
Domain, codomain, and rage of a function:
Examples of familiar functions:
What is algebraically equivalent to x2 + 5x + 6x + 2?
What are the domain and range of x2 + 5x + 6x + 2?
Let f : (a, b) −→ R and a < x0 < b.We say that the limit as x
approaches x0 from the left existsand is equal to L if for all ε > 0,
there exists a δ > 0 so thatwhenever 0 < x0 − x < δ we have
|f(x) − L| < ε.
Similarly, we say that the limit as x approaches x0 from theright
exists and is equal to R if for all ε > 0, there exists a δ > 0so that
whenever 0 < x − x0 < δ we have |f(x) − R| < ε.
How to conceptualize limits graphically
How to conceptualize limits algebraically
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