welcome!!! studio college algebra fall 2010
DESCRIPTION
WELCOME!!! Studio College Algebra Fall 2010. Class website: www.math.ksu.edu/math100studio. My Contact Info. Carlos Castillo-Garsow [email protected] Monday and Tuesday: 12:30-1:30 CW125 By appointment: [email protected]. - PowerPoint PPT PresentationTRANSCRIPT
WELCOME!!! Studio College Algebra
Fall 2010Class website:
www.math.ksu.edu/math100studio
My Contact Info
• Carlos Castillo-Garsow
• Monday and Tuesday: 12:30-1:30 CW125
• By appointment: [email protected]
Things you need to complete BEFORE next lab on Thursday, August 26th/
(or Friday, August 27th)• Download the course syllabus from the class website
• Figure out what is due next week
• Write down on your calendar/planner the exam dates and FINAL exam date; there are no make-ups.
• Booking airline tickets to go home on/before December15th is NOT a reason to reschedule or miss the final. Please re-schedule your travel plans if you’re planning to leave before or on December 15th.
EXAM DATES• PRE TEST – Yesterday, 7:15pm• Tuesday September 14; 7:15pm-8:15pm• Tuesday October 12; 7:15pm-8:15pm• Tuesday November 9; 7:15pm-8:15pm • POST TEST – Tuesday December 7, 7:15pm• Wednesday December 15th; (Final Exam) 6:20pm-8:10pm
NO MAKEUPS; if there is a documented personal emergency you must present us with a letter from the office of student life, then we average the other two exams for the missed one; you CANNOT miss the final exam.
EXAMS
• Exam rooms will be posted on our website within 2 weeks.
• BRING YOUR WILDCAT ID to the examination. THIS IS MANDATORY
GRAPHING CALCULATOR
• TI 83/84 Plus
• TI 85/86 okay
• CANNOT HAVE TI 89/92 or anything with a QWERTY keyboard or CAS
GRADING
• Book homework: Scaled to 60 points• Online homework: Scaled to 60 points• Studio Labs: Scaled to 60 points• Participation/Attendance/Iclicker: Scaled to
60 points• Exams: 3 of them at 80 points a piece• Final: 140 points• Pre/Post Test: 10 points
K-State Online
• You can see how many points you received on each assignment on K-State online.
• We take all the curves into account at the end of the semester; these will not be shown in KSOL.
What you need for lecture
• iClicker
• Notebook
• Math Journal
• Writing implement
• Brain
• A power switch on your phone.
=
• a = b
• a is identical in value to b
• Anywhere I see an ‘a’ I can replace it with a ‘(b)’ and vice versa
• Ex: a+6=b/7
7(a+6)-3b/7=b/14
)6(2
1)6(3
77
aab
=
!Ex (not example):
2+7=9*2=18
This is bad because it says that 2+7 is identical in value to 9*2 or that anywhere I see a 2+7, I can write a (9*2), which is not true.
f(x)
“eff of eks”
The result of doing f to x
If you have an “input” value x, and you “do f” to it, the value you get out is called f(x)
)(xfxf
)2(2 ff
function
A rule that assigns to each element of the domain exactly one element from the range
Something that you do to a number. When you do something to a number, the result is one number. You don’t get multiple results.
Ex: f(x)=2x-7
f(3.1)
Imagine x=3.1, use meaning of =
f(3.1)=2*(3.1)-7
function
!Ex:
This gives more than one “result” when you “plug in” a value for x.
4)( xxf
Given the function f(x)=x2 -2Mx, where M is some parameter, find f(3).
A) 3
B) 3M
C) 9-6M
D) 6-9M
E) None of the above.
solution
• f(x)=x^2-2Mx
• x=3
• f(3)=3^2-2M3
• f(3)=9-6M
Domain
• All numbers that it makes sense to use as an input
• Ex: g(k)=k^2+7– Domain is all real numbers
• Ex:– In order for this to make sense
so the domain is
4)( ttq
04 t4t
Range
• All the numbers that it makes sense to get as a result of doing the function (as outputs)
• Ex:
3)( :is range The
3)(
xh
xxh
Line
• f(x)=mx+b
• Y-intercept is f(0)=m*0+b=b.
slope
oldnew
oldnew
newnewoldold
xx
yy
x
ym
yx,yx
, and points twohaveyou When
slope
• Fancy way of saying that if you change x by any amount, the change in y is always m times as big as the change in x.
Slope Ex:
Badly drawn slope Ex:
Find the slope of the line connecting the points (2,3) and (4,8).
A) 5/2
B) -5/2
C) 2/5
D) -2/5
E) None of the above
Solution
Old: (2,3) New: (4,8)
2
5
24
38
oldnew
oldnew
xx
yym