MTH 254 Study Guide - Fall 2018, Comprehensive Midterm Notes - Euclidean Vector, Dot Product, U2
12 Oct 2018
School
Department
Course
Professor
MTH 254
MIDTERM EXAM
STUDY GUIDE
Fall 2018
Vector Calculus I09/20/2018 -12/7/2018
MTH 254 -040 Kidder Hall 364
13:00 -13 :50 MWF Nathan LGibson
20:30 -21:50 w
Homework :PDF due Wednesdays by 23:59
completion (may be graded )
discussion board :look over posted solutions and identify weaknesses
Online Homework :My Math Lab
tip :find corresponding problem in the textbook
keep written record of my math lab work
Quizzes :cover the material covered the previous week .
Recitation :Beth Ray center 136
Math is Stats Learning center -Kidder Hall 108
Locations for exams are TBA in the website .
NO lecture on evening midterms .
Review syllabi MTH 251 and 252 .
Written homework is graded for completion .
Recitation problems are not graded unless quizzes .
Inote card each midterm Cindex cards )
Final exam will replace if better grade (3index cards )3×5 note cards .
Lowest recitation tquiz grade will be dropped .
find more resources at oneclass.com
find more resources at oneclass.com
09.21 .2018
Section ii.
I:Vectors in the plane .
AVector is aquantity (object )Which has both alength and adirection .
Y
•Q
→→
line segments have no direction .
U8= PQ
•
P
F- tail Q= head according to the book
X
Special case :8zero vector has Zero length and no direction .
III :length of Ti
Suppose there are two vectors tie :B and the direction is the same ,then III =IVY
.
Band Iare the same if they have the same length and direction .
Standard position :is when initial point Ctail )is the origin .
(Y-
dimension vz ..... .
⇒
-
--- .
a' Ev i
!Component of avector is the distance in each dimension from the
!
iorigin to head in standard form .
O-v,
xi.e .Vx or Vy me VI ,U2 ,Vs ,UH ...
(X-dimension )Notation :F-
CVL ,V2 >
↳called components instead of coordinates .
Length :Pythagorean Theorem
Thus Ifl =VftVzT
Aunit Vector has length 1.Standard unit vectors :I =Cl ,0>(horizontal )
Note :if,
=of ,where c= 5=20,17 (vertical )
Scalar multiplication
-
G- scalar 8s
J=LU ,V2 >U
I
it =CT =LCVI ,cuz >V
find more resources at oneclass.com
find more resources at oneclass.com
Document Summary
23:59 completion ( may be graded ) discussion board look over posted solutions and identify weaknesses. Lab tip : find corresponding problem in the textbook keep written record of my math lab work. Quizzes : cover the material covered the previous week. Recitation problems are not graded unless quizzes . Final exam will replace if better grade ( 3 index cards. Lowest recitation t quiz grade will be dropped . 2018 has both a length and a direction ii. I there are two vectors tie :b and the direction is the same , then. Ivy are the same if they have the same length and direction. Standard position : is when initial point c tail is the origin . ( y -dimension vz a" ev. O x i i v ( x - dimension. Component of a vector origin to head in distance in each dimension from the form . is the. , v2 > called components instead of coordinates.
