WELCOME!!! Studio College Algebra

Fall 2010Class website:

www.math.ksu.edu/math100studio

My Contact Info

• Carlos Castillo-Garsow

• cwcg@math.ksu.edu

• Monday and Tuesday: 12:30-1:30 CW125

• By appointment: cwcg@math.ksu.edu

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