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## Calculus for Business - Week 1, Lecture 1

by: asdg Notetaker

13

1

2

# Calculus for Business - Week 1, Lecture 1 MATH022

Marketplace > University of California Riverside > Mathmatics > MATH022 > Calculus for Business Week 1 Lecture 1
asdg Notetaker
UCSB

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Basic overview and introduction to calculus.
COURSE
PROF.
Mike Curtis
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Functions/Graphs, Inverse/CompositeFunctions, DifferenceQuotient
KARMA
25 ?

## Popular in Mathmatics

This 2 page Class Notes was uploaded by asdg Notetaker on Sunday September 25, 2016. The Class Notes belongs to MATH022 at University of California Riverside taught by Mike Curtis in Fall 2016. Since its upload, it has received 13 views. For similar materials see Calculus for Business in Mathmatics at University of California Riverside.

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Date Created: 09/25/16
Syllabus  This class is 9A and 9B = lots of homework  Mike Curtis, c​ urtism@math.ucr.edu  Office Hours: Tue 9:40­11:30 a.m., Wed 9­10 am, Thur 9:40­10:30 a.m. Pierce 2231 (or 2438)  Grading:   Midterm 1 = 20% R 10/20/16  Midterm 2 = 20% T 11/15/16  HW = 5% WebAssign  Discussion = 20% (Quiz or Worksheet)  Final Exam = 35% 12/8/16 8­11 a.m.    No calculators allowed at all, even on tests,  The teacher kinda sucks, so make sure to enforce and do not procrastinate = B+ average  historically oh no = 5 sections a week (15 lectures)    Friday note due dates for homework  Make sure to have good time­management  SI (is a student, looks korean) = additional help, study groups, extra information        1.2 Functions & Graphs (No vocab quizzes)    A relation is a function if each input has exactly one output  The domain of a function is the set of inputs that make sense (x points)  The range of a function is the set of outputs for a specific domain (y points)  A graphs is a function if it passes the vertical line test. That is no vertical line touches the graph  in more than one point    Price (x­axis), x ≥ 0 No negative price  Quantity (y­axis), y ≥ 0 No negative quantity    If square root, find inside function set function i.e. x ≥ 0    1.4 Functions    Can plug function into function  f(g(x)) is composite function or (f∘g)(x)    1.5 Inverse Functions  F and g are inverses of each other if  1) f(g(x)) = x   2) g(f(x)) = x  To find an inverse f​  (x): ­1​ 1) Write ‘y=’ instead of ‘f(x)’  2) Switch x & y  3) Solve for y   ­1 ​ 4) Write ‘f​ (x) =’ instead of ‘y=’    1.5 Slope    m = (f(x+h) ­ f(x))/(x+h­x) x is usually Δx = difference quotient or 1st Principle of Derivatives

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