Tutorial #1: PHYS2100
Due 15/09/15
1) Write the first few terms of the Maclaurin series up to and including
x6
for
each of following functions:
a)
e
e)
b)
x3
f)
1 cos x
x2
c)
ln cos x
g)
1
d)
sin
1
STUDENT NOTES/LECTURE #4
Power Series
1.1
Application of common series
These lecture notes introduce some of the series of functions most commonly
used in mathematical physics. One of the most
1
STUDENT NOTES/LECTURE #3
Convergence of Series
1.1
Test for convergence
For a convergent series the th member of the sequence of partial sums will be a
good approximation to the series if is la
1
STUDENT NOTES/LECTURE #1
Introduction to Series
1.1
Infinite Sequences
Methods of approximation play a central role in the sciences. All of the laws that
we deal with in the sciences are mathem