This course emphasises understanding of mathematical concepts and developing an appreciation for mathematical thinking. Linear Algebra unveils the logical structure of mathematics and its development: geometrical description of vectors and their properties; problems leading to linear equations whose solution is facilitated by the development of matrix theory; applications of matrices in workforce planning and population dynamics; the study of eigenvalue problems. This course will also cover material from complex numbers. Calculus focuses on developing the essential skills of differentiation and integration, and applications to solve problems involving functions of one and two variables. It lays the foundations for subsequent studies in applied mathematics.