-
Advanced
Mathematics
The content of advanced
mathematics from: advanced mathematics than
elementary mathematics
of
elementary
mathematics
mathematics
are
advanced
mathematics,
also
have high school will
be deeply algebra and geometry and simple set
theory
logic called secondary
mathematics, as a primary school junior high
school of
elementary
mathematics
and
undergraduate
course
phase
of
the
advanced
mathematics the
transition. Often think, advanced mathematics is
will simply
calculus, probability
theory and mathematical statistics, and in-depth
algebra
and geometry, as well as their
cross between formed a basic subject, mainly
including calculus, other aspect of
slightly different textbooks
As
with
the
development
of
basic
concepts,
the
need
for
concrete
experiences
is
critical
to
the
development
of
many
advanced
mathematical
concepts
for a
student
who
is blind.
Acting out
story problems and
applying
these
problems
to
everyday
situations
is
just
as
important
at
the
advanced
levels of
mathematics as it is at basic levels, if students
are to become capable
of using their
mathematics skills in functional situations or as
a foundation in
their pursuit of even
more advanced mathematical and scientific
learning.
The use of
models, manipulatives, and real life items found
in everyday
classrooms and living
environments also plays an important role in
providing
support to the development of
mathematical skills and concepts at all levels.
These items can be used for functional
measuring, comparing, deduction and
induction, as well as for motivating
students to solve relevant problems. The
following strategies are intended as
illustrative examples of the use of concrete
experiences to support higher
mathematics concepts. They are included here
as representative samples only;
teachers are encouraged to develop an array
of concrete experiences and problem-
solving situations to help students
understand the concepts involved in
higher mathematics.
Course
objectives:
This
course
is
designed
to
assist
in
the
transition
from computation-
oriented mathematics to the proof-based framework
of
most of advanced mathematics. We
will begin with the study of
propositional
logic
via
truth
tables,
and
proceed
to
the
set
theory
that
most
working
mathematicians
need
to
know
in
their
daily
work.
Topics
will
include functions and relations,
infinite cardinal and ordinal numbers,
uncountability, transfinite arithmetic,
the Axiom of Choice and Zorn's
Lemma.
Emphasis
in
this
course
will
be
on
learning
to
write
clear
proofs.
Program
Description
A four-year
degree leading to the potential award of honours
based on overall
performance.
The
degree
will
incorporate
a
single
major
and
a
research
project.
The degree program
divides into four groups covering discipline-
specific
technical content, research
project, free electives and the general education
components.
Whereas the development of depth of
understanding in pure and applied areas of
mathematics and practical skills in
specific disciplines are essential, the
degree will also focus on instilling a
culture of research and enquiry through
early induction into the research ethos
and access to research groups and
facilities.