COURSE CURRICULUM

The Mathematics major within the Bachelor of Science (Advanced) at the University of Newcastle provides students with a rigorous foundation in pure and applied mathematics, equipping them with the analytical and quantitative skills required to solve complex scientific and technological problems. The program includes compulsory courses such as Mathematics for Engineering, Science and Technology 2, Complex Analysis, Calculus of Science and Engineering, Linearity and Continuity 1, and Ordinary Differential Equations and Applied Linear Algebra, enabling students to develop expertise in advanced calculus, algebra, mathematical modelling, and theoretical analysis. Students can further enhance their knowledge through advanced electives including Algebra, Number Theory, Applied Fourier Analysis, Partial Differential Equations, Numerical Methods, Research Integrated Learning, and Deterministic and Stochastic Optimisation. These courses explore abstract mathematical concepts alongside practical computational techniques used in engineering, data analysis, scientific research, and optimization. The curriculum emphasizes logical reasoning, problem-solving, mathematical modelling, computational methods, and independent research, preparing students to apply mathematical principles across a wide range of scientific and industrial contexts. Through advanced coursework and research opportunities, students gain the skills required for careers in data science, finance, engineering, technology, operations research, education, government, and scientific research. The major also provides an excellent foundation for honours studies, postgraduate research, and professional careers requiring advanced mathematical expertise and analytical thinking.