function x = forwardsubstitute(A,b)
n = length(b);
for i = 1:n
x(i,1) = b(i);
for j = 1:i-1
x(i,1) = x(i,1) - A(i,j)*x(j,1);
end
x(i,1) = x(i,1)/A(i,i);
end
return;
CHAPTER 1
^ ^ ^ ^ ^ ^ 1. The vectors x + y + z and - x - y + z are in the directions of two body diagonals of a cube. If is the angle between them, their scalar product gives cos = 1/3, whence = cos -1 1/ 3 = 90 + 19 28' = 109 28' . 2. The plane (100) is
Chapter 2 Hyperbolic Functions
2 HYPERBOLIC
FUNCTIONS
Objectives
After studying this chapter you should
•
understand what is meant by a hyperbolic function;
•
be able to find derivatives and integrals of hyperbolic
functions;
•
be able to find inverse hyp
Advanced Calculus for Engineering 01:640:421, Section 01, Spring 2012 Instructor: Roderich TumulkaPhone: 732-445-2390 x 1322Office: Hill 522 Office hours: WTh 11am-12pmEmail: instructor's last name, then @, then math.rutgers.edu
Syllabus
Part I: Laplace t
Lecture Notes on Structure of Matter by Mohammad Jellur Rahman, Department of Physics, BUET, Dhaka-1000
Lecture 5: Crystal planes and Miller Indices
Index system for crystal directions and planes Crystal directions: Any lattice vector can be written as th