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MATH 20C (101)
Lecture 8

# MATH 20C Lecture 8: Lecture 8

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School
University of California - San Diego
Department
Mathematics
Course
MATH 20C
Professor
Semester
Spring

Description
Math 20 C 7 Apr 2017 To day 2. Real Valued Function S Next 2. 2 Limits and Continuity Due Friday Homework 2 2. Real valued unction A real Value fuMction of two Variable S is a rule at assigns to each pair a set u the domain) a in number. We usuall ave the unction a name f a we write f(x,y) such as that the unique real number or f as Sign S to the pair CX, 1) Notation the set of real numbers Number Line BlackLoord Lold TR2 the set all pains E real numbers Math 20 C 7 Apr 2017 To day 2. Real Valued Function S Next 2. 2 Limits and Continuity Due Friday Homework 2 2. Real valued unction A real Value fuMction of two Variable S is a rule at assigns to each pair a set u the domain) a in number. We usuall ave the unction a name f a we write f(x,y) such as that the unique real number or f as Sign S to the pair CX, 1) Notation the set of real numbers Number Line BlackLoord Lold TR2 the set all pains E real numbers2D Space 3D Space. Notation for functions If f is a real valued functon ot two var alles, we write output input It u is a subset R2 aud T u rs the domain o f, we can write us R2 means u is a subset of R MER means is contained in R X is an element o IR Element originally this was an epsilon. Note: If the domain u is not specif ed, they assume u is set of all Cx y) such that Fay) defined. Examples exp x In this case we can assume u In this case u is not all of Riy) is defmed So long as 2D Space 3D Space. Notation for functions If f is a real valued functon ot two var alles, we write output input It u is a subset R2 aud T u rs the domain o f, we can write us R2 means u is a subset of R MER means is contained in R X is an element o IR Element originally this was an epsilon. Note: If the domain u is not specif ed, they assume u is set of all Cx y) such that Fay) defined. Examples exp x In this case we can assume u In this case u is not all of Riy) is defmed So long ast w such that is a geometric ob ect Order we frst ident, ty the bound. e boundary is where the in equal IS replace J with equality (4,0) This is the boundar Curly dee Notation du our domain u is either the inside or Not Loth) e outside of this grap We must find out which of the two it is. u 2 (x, y) x 112 e origin this inequality is true As another example Is the Point (4,0) in our domain u Check if he luality is true t w such that is a geometric ob ec
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