EC140 - Class 1
Introduction and Chapter 19
Ken Jackson
Wilfrid Laurier University
January 3rd/4th, 2016
Ken Jackson (Wilfrid Laurier University) EC140 - Class 1Introduction and Chapter 19
January 3rd/4th, 2016
1 / 27
Welcome to EC140
Welcome to my sectio
TERCERA EDICIN
F S I C A
PARA PREPOLITCNICO
CUADERNO DE TRABAJO
Preguntas y Problemas Propuestos
M. ALMEIDA
M. ARIAS
F. BARBA
P. CASTILLO
C. CRDOVA
F. CUSTODE
H. FLORES
K. MORENO
M. TASIGUANO
A. ULLOA
S. YASELGA
J. ZAMBRANO
PROFESORES DEL CURSO PROPEDUTIC
Phys. 115 Fall/16
Assignment # 9
Due Monday November 28th, 2016 by 4:30 pm
Ch.10: 29, 32, [44], 79
Extra problems: 1, [2], 3, 4, [5], 6
Problem 29.
An early method of measuring the speed of light makes use of a rotating slotted
wheel. A beam of light pass
81
Ship A is located 4.0 km north and 2.5 km east of ship B. Ship A has a velocity of 22
km/h toward the south, and ship B has a velocity of 40 km/h in a direction 37 north of east. (a)
What is the velocity of A relative to B in unit-vector notation with
23. En la Fig. 12-40, un extremo de un Uniforme de peso 222
pared; El otro extremo est soportado por un alambre que hace
pared y la viga. Encuentre (a) la tensin en el alambre
horizontales y (c) verticales de la fuerza de la bisagra en la
N es Con bisagra
Q
qAssignment # 3
13 A worker pushes horizontally on a 35 kg crate with a force of magnitude 110 N. The
coefficient of static friction between the crate and the floor is 0.37. (a) What is the value of fs,max
under the circumstances? (b) Does the crate mov
Assignment #5 Questions
4 Figure 8-31 shows a ball with mass m = 0.341 kg attached to the end of a thin rod with length
L = 0.452 m and negligible mass. The other end of the rod is pivoted so that the ball can move in
a vertical circle. The rod is held ho
PHYS. 115 f/2017
Assignment #4
3
On August 10, 1972, a large meteorite skipped across the atmosphere above the western
United States and western Canada, much like a stone skipped across water. The accompanying
fireball was so bright that it could be seen
function [inside] = point_in_polygon(xpol, ypol, xpoint, ypoint)
/*
/ function: inside_poly - this function returns a Yes (1), No(0)
/ depending on if a point is inside a polygon or not
/
/ Inputs:
/
xpol, ypol are the coordinates of a simple closed polyg
Math 235
Sample Midterm 2
1. Short Answer Problems
a) State the Fundamental Theorem of Linear Algebra.
b) State the Rank-Nullity Theorem.
c) Let L : V U and M : U V be linear mappings such that (M L)(~x) = ~x for all
~x V. Prove that M is onto.
d) Let h ,
LINEAR ALGEBRA COURSE NOTES EDITION 3.0
by Dan Wolczuk
LIST OF KNOWN ERRORS.
Page 47 The second line from the bottom should be: In particular, if
a system of 2 linear equations in 2 unknowns has 2 solutions,
then it must in fact have infinitely many solut
Math 235
Midterm Information
Tuesday, Nov 1st, 4:30 - 6:20 p.m
Material Covered: Chapters 7, 8, 9
- The questions on the midterm are largely based on those from quizzes, the practice
problems, and examples/problems from the course notes and lectures.
- Th
Math 235
Sample Midterm 1
1. Short Answer Problems
a) Let A be an m n matrix. What is (Null(A) ?
b) State the definition of an isomorphism L between two vector spaces V and W.
c) Let B = cfw_~v1 , . . . , ~vn be an orthonormal basis for an inner product
Unit
5
Matrices
Overview
This unit covers some of the basic mathematics skills that you need when dealing with
matrices. It is divided into 3 sessions and each session is further broken down into a
number of topics. As you reach each session and the topic
MATH 138 Spring 2013
Assignment 8
Topics: Comparison test, alternating series test.
Due: 11 a.m. Friday, July 5nd.
Instructions:
Print your name and I.D. number at the top of the rst page of your solutions, and
underline your last name.
Submit your solu
MATH 138 Spring 2013
Assignment 9
Topics: Absolute Convergence, Ratio Test, Root Test
Due: 11 a.m. Friday, July 12.
Instructions:
Print your name and I.D. number at the top of the rst page of your solutions, and
underline your last name.
Submit your sol
MATH 138 Spring 2013
Assignment 4
Topics: Improper integrals, direction elds and separable differential equations.
Due: 11 a.m. Friday, June 7.
Instructions:
Print your name and I.D. number at the top of the rst page of your solutions, and
underline your
MATH 138 Spring 2013
Assignment 2
Topics: Trigonometric integrals, trigonometric substitution, completing the square and
trig substitution.
Due: 11 a.m. Friday, May 24.
Instructions:
Print your name and I.D. number at the top of the rst page of your solu
MATH 138 Spring 2013
Assignment 6
Topics: Sequences, series.
Due: 11 a.m. Friday, June 21.
Instructions:
Print your name and I.D. number at the top of the rst page of your solutions, and
underline your last name.
Submit your solutions in the same order
MATH 138 Spring 2013
Assignment 3
Topics: Integrating rational functions. Computing volumes by slices (disks),
volumes by cylindrical shells.
Due: 11 a.m. Friday, May 31.
Hand in your solutions to the following problems.
1. Evaluate the following integral
MATH 138 Spring 2013
Assignment 5
Topics: Linear differential equations, applications.
Due: 11 a.m. Friday, June 14.
Instructions:
Print your name and I.D. number at the top of the rst page of your solutions, and
underline your last name.
Submit your so
MATH 138 Spring 2013
Assignment 1
Topics: Integration review, integration by substitution and by parts.
Due: 11 a.m. Friday, May 17
Instructions:
Print your name and I.D. number at the top of the rst page of your solutions, and
underline your last name.
MATH 135, Fall 2010
Solution of Assignment #3
Problem 1. Prove that
n
i=1 (2i
1)2 =
n(2n1)(2n+1)
3
for all n 1.
Solution. When n = 1 we have n (2i 1)2 = 12 = 1 and n(2n1)(2n+1) = 113 = 1, so the
i=1
3
3
claim is true when n = 1. Let k 1 and suppose the c
Phys 111 Fall 2008
General Physics: Class Exam 3
14 November 2008
Name:
Total:
/50
Instructions
There are 7 questions on 5 pages. Show your reasoning and calculations and always justify your answers.
Physical constants and useful formulae
g = 9.81 m/s R
Phys 111 Fall 2008
General Physics: Class Exam II
24 October 2008
Name:
Total:
/50
Instructions
There are 7 questions on 5 pages. Show your reasoning and calculations and always justify your answers.
Physical constants and useful formulae
Moment of inert
Phys 111 Fall 2008
General Physics: Class Exam I
3 October 2008
Name:
Total:
/50
Instructions
There are 7 questions on 6 pages. Show your reasoning and calculations and always justify your answers.
Physical constants and useful formulae
g = 9.81 m/s G =
Phys 111 Fall 2007
General Physics I: Class Exam 2
16 November 2007
Name:
Total:
/50
Instructions
There are 7 questions on 5 pages. Show your reasoning and calculations and always justify your answers.
Physical constants and useful formulae
g = 9.81 m/s
Phys 111 Fall 2007
General Physics I: Class Exam I
5 October 2007
Name:
Total:
/50
Instructions
There are 7 questions on 7 pages. Show your reasoning and calculations and always justify your answers.
Physical constants and useful formulae
g = 9.81 m/s
Th
Phys 111 Fall 2007
General Physics I: Final Exam
10 December 2007
Name:
Total:
/100
Instructions
There are 13 questions on 12 pages. Show your reasoning and calculations and always justify your answers.
Physical constants and useful formulae
g = 9.81 m/s