Math1001 Differential Calculus
and
Math1002 Linear Algebra

Aims:

Normal units of mathematics in first semester build on the
broad foundations of calculus and precalculus learnt at school,
integrating them with new and novel concepts in linear algebra

Calculus and linear algebra
are two cornerstones of mathematics,
and over the course of one semester students start to see these subjects
intertwine to form the backbone of almost all applications of
mathematics to physical and biological sciences and engineering

Students gain an appreciation of the power and beauty of
mathematics which evolved over 2,000 years yet is
indispensable to our modern way of life

Learning outcomes: by the end of semester students should

be able to apply mathematical logic and rigour to solving problems

be able to express mathematical ideas coherently in written and oral form

demonstrate fluency in manipulating complex numbers, functions of one or two
variables, limits, differentiability and polynomial approximations

demonstrate fluency in vector and matrix arithmetic, and their applications
to solving systems of equations