Most Popular Scalar Documents

Practice 1
School: Harvard University
Course: MATH E21a
Math E21a Midterm Exam 1 Topics Fall 2009 1. Given vectors in R2 or R3, do addition, scalar multiplication, dot and cross products, scalar and vector projection. 2. Manipulate vector expressions symbolically (distributive law, triple produc...

M334Lec13
School: Brigham Young University
Course: MATH 334
Math 334 Lecture #13 §3.4: Reduction of Order; Repeated Roots Method of Reduction of Order (d'Alembert). Suppose y1 is a nonzero solution of y + p(t)y + q(t)y = 0. For any scalar c, the scalar multiple cy1 is also a solution. The idea of d...

A1
School: University Of Waterloo
Course: MATH 237
MATH 237 ASSIGNMENT 1: Scalar fun., limits Fall 2012 Submit your work before 12:30pm on Friday, September 21st in the correct drop slot across from MC 4066/4067. Late assignments or those put into the wrong drop slot will not be marked and will re...

Lectures Notes (9)
School: Caltech
Course: MATH 1c
... Suppose we are given a function (scalar field) g on Rn and a bounded curve C in Rn, can one define a suitable integral of g over C? We can try the following at first. ... (= dα ds ). Put g(α(t)) = f(α(t)) · T, which defines a scalar field....
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MATH 207 Spring 2015 Assignment 1
School: University Of Waterloo
Course: MATH 207
... 1. a = < 2, 3, 6> and b = <5, 1, 4> a. Find a ∙ b b. Find the scalar and vector projections of b onto a c. Find a × b d. Find the sine and the cosine of ...

MATH 207 Spring 2015 Solution 1
School: University Of Waterloo
Course: MATH 207
... b. Find the scalar and vector projections of b onto a compab = 7 37 49 37 )6(3)2( 37  2 2 2 − = − = − a ba projab = ...

m225f2015writtenHW1Sol
School: University Of Alberta
Course: MATH 225
... 1. (10 points) Review. Consider the Euclidean Vector Spaces V = R3 and V = R4 with the usual addition and scalar multiplication ...

3220 hw 2 s 14
School: University Of Utah
Course: MATH 3220
MATH 3220 HW 2 SOLUTIONS 7.1.3. Using only the properties listed in Theorem 7.1.1, prove that if u is a vector in a vector space, a is a scalar, and au = 0, then either a = 0 or u = 0. Either a is zero or it is not. If a is 0, then we're done....
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MAT275_LAB03(1)
School: Arizona State University
Course: MAT 275
MAT 275 Laboratory 3 Numerical Solutions by Euler and Improved Euler Methods (scalar equations) In this session we look at basic numerical methods to help us understand the fundamentals of numerical approximations. ...

MAT275_LAB04(1)
School: Arizona State University
Course: MAT 275
... In this laboratory session we will learn how to 1. Use MATLAB solvers for solving scalar IVP 2. Use MATLAB solvers for solving higher order ODEs and systems of ODES. FirstOrder Scalar IVP Consider the IVP { y ′ = t − y, y(0) = 1. ...

MTH 141Lab 3
School: Ryerson University
Course: MATH 141
... 2. Problem A7 (a), Section 1.3 Find a scalar equation of the plane that contains the given point with the given normal vector P(−1, 2, −3), n = ⎡ ...
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Practice 1
School: Harvard University
Course: MATH E21a
Math E21a Midterm Exam 1 Topics Fall 2009 1. Given vectors in R2 or R3, do addition, scalar multiplication, dot and cross products, scalar and vector projection. 2. Manipulate vector expressions symbolically (distributive law, triple produc...

M334Lec13
School: Brigham Young University
Course: MATH 334
Math 334 Lecture #13 §3.4: Reduction of Order; Repeated Roots Method of Reduction of Order (d'Alembert). Suppose y1 is a nonzero solution of y + p(t)y + q(t)y = 0. For any scalar c, the scalar multiple cy1 is also a solution. The idea of d...

A1
School: University Of Waterloo
Course: MATH 237
MATH 237 ASSIGNMENT 1: Scalar fun., limits Fall 2012 Submit your work before 12:30pm on Friday, September 21st in the correct drop slot across from MC 4066/4067. Late assignments or those put into the wrong drop slot will not be marked and will re...

Lectures Notes (9)
School: Caltech
Course: MATH 1c
... Suppose we are given a function (scalar field) g on Rn and a bounded curve C in Rn, can one define a suitable integral of g over C? We can try the following at first. ... (= dα ds ). Put g(α(t)) = f(α(t)) · T, which defines a scalar field....
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MATH 60 Fall 2014 Midterm 1 Study Guide Topics
School: Pomona College
Course: MATH 60
... Topics for Exam 1 1. Vector Space Structure in Euclidean Space 1.1 Definition of nDimensional Euclidean Space 1.2 Vector addition and scalar multiplication 1.3 Spans 1.4 Linear independence 2. Subspaces of Euclidean Space ...

Tutorial1 sol (1)
School: Carleton University
Course: MATH 2107
MATH 2107 Tutorial 1 Q1. Is the following set of vectors a vector space with the indicated vector addition and scalar multiplication? Explain. a) The set 2 ℜ with usual additions and scalar multiplications defined as │ ⌋ ⌉ │ ⌊ ...

Linear Algebra Supplement (4.7 and 5.5)
School: Lehigh University
Course: MATH 205
... 4 STEVEN H. WEINTRAUB (a) For any two vectors x and y in V , [x + y]D = [x]D + [y]D. (b) For any vector x in V and any scalar c, [cx]D = c[x]D. To see that the first observation is true, let [x]D = a1 a2 ... an ...

AMSI2up9
School: University Of Pennsylvania
Course: MATH 420
3. MEAN VALUE PROPERTY 63 ii). Let ϕ(x) =  ∇u(x) 2 and apply the scalar maximum prin ciple to ∆ϕ. 6. On the torus, T2 , let u be a solution of −∆u = 1 − h(x)eu, where h ∈ C(T2), so in particular, h is a periodic function of its va...