10.1
Parametric Functions
6 4 2 -6 -4 -2 0 -2 -4 -6 2 4 6
Greg Kelly, Hanford High School, Richland, Washington
In chapter 1, we talked about parametric equations. Parametric equations can be used to describe motion that is not a function.
x
f
RELEASE OF LIABILITY, PROMISE NOT TO SUE, ASSUMPTION OF RISK AND AGREEMENT
TO PAY CLAIMS
Bronco Spirit Night- Summer Orientation 2016
Activity: _
_
June 29, July 6, 13, 20, 27, August 3, 10, 17, and 23, 2016 from 7:00-9:00pm
Activity Date(s) and Time(s):
ANTHROPOLOGY 101-02:
INTRODUCTION TO BIOLOGICAL ANTHROPOLOGY
MWF 10:30-11:45 am
Spring 2016
Building 5 Room 107
Instructor: Jessica I. Cerezo-Romn, PhD
Email: [email protected]
Office Hours: MW 1:00 pm - 3:00 pm or by appointment
COURSE GOALS:
To acqua
CALIFORNIA STATE POLYTECHNIC UNIVERSITY, POMONA
DEPARTMENT OF KINESIOLOGY AND HEALTH PROMOTION
KIN 209- Critical Perspectives in Kinesiology
Spring 2017
Instructor: Alexandra Auslander, M.S.
Office Hours: Mon 1-3pm, Wed 4-6pm, Fri 1-2pm
Class Times: MW 6:
Philosophy 202
Critical Thinking
Fall 2016
Office: Building 1-319
Hours: M/W/F: 6:30 7:50 a.m.
Dr.
Thomas Keith
[email protected]
TURN OFF CELL PHONES BEFORE CLASS BEGINS
NO LAPTOPS
This course is designed to examine and evaluate beliefs and argument
Kin 209_ Auslander
REVIEW AND CRITIQUE OF A SCIENTIFIC ARTICLE OUTLINE
This study critique outline serves as a template for conducting a critical review of a
scientific article. Specifically, the outline includes a set of questions to consider when
decidi
Cheetah (Acinonyx jubatus): the
cheetah is a fierce predator that resides in southern/eastern Africa.
This is the fastest land animal in the world, reaching speeds up to
75 mph to catch its prey.
Function: The 4 basic macromolecules serve
unique purposes
A.P. Calculus BC Formulas 2005-2006
Hanford High School, Richland, Washington revised 3/8/06
1. 2. floor function (def)
x
Greatest integer that is less than or equal to x.
(graph)
3.
ceiling function (def)
Least integer that is greater than or
Hyperbolic Functions
Hyperbolic cosine of x: Hyperbolic sine of x:
cosh x sinh x
e
x
Integrals
e 2
x
x
sinh u du cosh u du sech 2 u du
cosh u C sinh u C tanh u C
csch 2 u du
coth u C sech u C csch u C
ex e 2
sech u tanh u du csch u coth u d
Double Integration
Greg Kelly, Hanford High School, Richland, Washington
f x, y
4 x y
Find the volume under this surface between 0<x<2 and 0<y<1.
f x, y
z
4 x y
y 1
0 x 2 and 0
We can sketch the graph by putting in the corners where (x=0, y=0
10.2
Vectors in a Plane
Mesa Verde National Park, Colorado
Photo by Vickie Kelly, 2003 Greg Kelly, Hanford High School, Richland, Washington
Warning: Only some of this is review.
Quantities that we measure that have magnitude but not direction ar
10.4 Projectile Motion
Fort Pulaski, GA
Photo by Vickie Kelly, 2002 Greg Kelly, Hanford High School, Richland, Washington
One early use of calculus was to study projectile motion.
In this section we assume ideal projectile motion: Constant force o
10.5: Polar Coordinates
Greg Kelly, Hanford High School, Richland, Washington
One way to give someone directions is to tell them to go three blocks East and five blocks South.
Another way to give directions is to point and say "Go a half mile in t
10.6: The Calculus of Polar Curves
r
2sin 2.15 0 16
Try graphing this on the TI-89.
Greg Kelly, Hanford High School, Richland, Washington
To find the slope of a polar curve:
dy dx
dy d dx d
d r sin d d r cos d
r sin r cos
r cos r sin
We us
A.P. Calculus:
Hyperbolic Functions
Greg Kelly, Hanford High School, Richland, Washington
Consider the following two functions:
y
e
x
e 2
x
y
e
x
e 2
x
These functions show up frequently enough that they have been given names.
y
e
x
10.3 Vector Valued Functions
Greg Kelly, Hanford High School, Richland, Washington
Any vector
v
a, b
can be written as a linear
combination of two standard unit vectors.
i v a, b a, 0 a 1, 0 0, b
1, 0
j
0,1
The vector v is a linear combina
Applications of
Hyperbolic Functions
Greg Kelly, Hanford High School, Richland, Washington
A hanging cable makes a shape called a catenary.
x y b though it looks Even a cosh a like a parabola, it is not
a some constant a) (for parabola!
dy dx
x
Greg Kelly, Hanford High School, Richland, Washington
The functions that we have studied this year have all been functions of one independent variable:
eg:
f x f x
x2 sin x
In real life, functions often have more than one independent variable: e
z
100
An Introduction to Partial Derivatives
10
10
y
x
Greg Kelly, Hanford High School, Richland, Washington
z
100
When we have functions with more than one variable, we can find partial derivatives by holding all the variables but one constan
KIN 209
Critical Perspectives in Kinesiology
Scholarly Article Analysis Paper
Winter 2017
For this paper I would like you to select, read, analyze and evaluate a scholarly, peer-reviewed
journal article. This must be from a scholarly journal within the fi