Course overview
This course, together with MATHS 1011 Mathematics IA, provides an introduction to the basic concepts and techniques of calculus and linear algebra, emphasising their inter-relationships and applications to engineering, the sciences and financial areas, introduces students to the use of computers in mathematics, and develops problem solving skills with both theoretical and practical problems.
Topics covered are Calculus: Differential equations, sequences and series, power series, calculus in two variables. Algebra: Subspaces, rank theorem, linear transformations, orthogonality, eigenvalues and eigenvectors, applications of linear algebra.
Course learning outcomes
- Demonstrate understanding of concepts in linear algebra, relating to vector spaces, linear transformations, orthogonality, eigenvalues and eigenvectors and diagonalisation.
- Demonstrate understanding of concepts in calculus, relating to differential equations, sequences, series and convergence and multivariable calculus.
- Employ methods related to these concepts in a variety of applications.
- Apply logical thinking to problem-solving in context.
- Demonstrate an understanding of the role of proof in mathematics.
- Use appropriate technology to aid problem-solving.
- Demonstrate skills in writing mathematics.