Fun Examples of Projection:
Question #1:
Two Cosmonauts stand on large space station floating in orbit. One Cosmonaut stands on one component of the station, and fires a flare straight up from the surface, in the direction n1 = < 2, 4,-4 >, with a relativ
An Example of the Connection Between Sequences and Series:
From Section 11.2, #55
Question: Given the partial sum of our series is: Sn find the sum of the series, S n 1 n 1
i 1
ai
and the terms in our series, an .
Solution: We have been given an the part
Division by 0 in Limits: What to do with 0+ (an addendum to Chapter 2.2 of Stewart's Calculus)
A Typical Example of an Unfortunate Division by 0: Let's start examining the role of 0 limits in division by examining the limit:
x2 x 3 x 3 lim
Here, the 3+ me
Cross Products in Action - An Example Involving 3x3 Determinants
Question:
Compute the cross product, uv, of the following two vectors: u = < 3, 1, 0 >, v = < 5, 2,1>
Solution:
i u v 3, 1, 0 5, 2, 1 3 5 jk 1 0 2 1
But computing the value of what is called
Math 1ZA3 Course Calendar
Week 1: September 9-10, 2010 Lecture 1 Introduction 1.3 New Functions from Old Functions Week 2: September 13-17, 2010 1.3 New Functions from Old Functions (Continued) 1.6 Inverse Functions and Logarithms 1.6 Inverse Functions an
Series Convergence & Divergence Summary:
Special Series with Known Convergence:
p-series:
1 np
converges if p > 1
and
diverges if p 1
The Only Two Types of (non-power) series, in this course, for which we that we can compute
exact values: Geometric Series
Some redox reactions have equations that must be balanced by special techniques.
Balancing Equations Balancing Equations for Redox Reactions for Redox Reactions
1
2
Balancing Equations Balancing Equations
Consider the reduction of Ag+ ions with ions coppe