MATH 110 Lecture Notes - Lecture 1: Exponentiation, Inverse Function, Nth Root

• School: PSU
• Department: Mathematics
• Course: MATH 110
• Professor: J A M E S K L I N G E N S M I T H

Document Summary

For use with larson(cid:859)s brief calculus: an applied approach: zachary klingensmith, ph. d. A. 1 the real number line and order (extra practice: 15-28) Natural numbers (cid:272)ou(cid:374)ti(cid:374)g (cid:374)u(cid:373)(cid:271)e(cid:396)s {(cid:1004),(cid:1005),(cid:1006), } (cid:894)note: so(cid:373)e people e(cid:454)(cid:272)lude (cid:1004)(cid:895) Rational numbers integers, plus fractions which have either terminating decimals or infinitely repeating. Irrational numbers cannot be represented by the ratio of two integers (non-repeating, non-terminating decimals decimals) Example: =(cid:885). (cid:883)(cid:886)(cid:883)(cid:887)(cid:891)(cid:884)(cid:888)(cid:887)(cid:885)(cid:887) , (cid:884)=(cid:883). (cid:886)(cid:883)(cid:886)(cid:884)(cid:883)(cid:885)(cid:887)(cid:888)(cid:884)(cid:885) (cid:4666)(cid:1853),(cid:1854)(cid:4667) or (cid:1853)(cid:1853) Solving inequalities a 0 b a 0 b a 0 b. A. 2 absolute value and distance on the real number line (extra practice: 7-40) Let (cid:1853),(cid:1856) where d>0: |(cid:1876) (cid:1853)|(cid:3409)(cid:1856) if and only if (iff) (cid:1853) (cid:1856)(cid:3409)(cid:1876)(cid:3409)(cid:1853)+(cid:1856).