This course begins an in-depth study of the fundamental concepts of calculus and linear algebra. The use and understanding of proof and abstract ideas, will allow students to develop analytical skills which will form a base for further study in fundamental mathematics as well as providing a foundation for a wide range of quantitative areas such as actuarial studies, computer science, engineering, economics, statistics and physics.

Topics to be covered include: Calculus - limits, continuity, differentiation, inverse functions, transcendental functions, extrema, concavity and inflections, applications of derivatives, Taylor Polynomials, integration, differential equations, functions of several variables, partial derivatives, double integrals; Linear Algebra - complex numbers, solving linear equations, matrix equations, linear independence, linear transformations, matrix operations, matrix inverses, subspaces, dimension and rank, determinants, Cramer's rule, volumes.

Note: This is an Honours Pathway Course. It involves extra material and emphasizes the use and understanding of proof and abstract ideas to a deeper conceptual level than MATH1013.

On satisfying the requirements of this course, students will have the knowledge and skills to:

Assessment will be based on:

• Nine assignments (20% in total: LO 1-4)
• Mid-semester test (30%; LO1-4)
• Final examination (50%; LO 1-4)

48 lectures and 10 hours of laboratory and tutorial sessions

A satisfactory pass in the ACT Specialist Mathematics double major, NSW HSC Mathematics Extension 2 or equivalent. Students with excellent results in either the ACT Specialist Mathematics major-minor, NSW HSC Mathematics Extension 1, or equivalent, may be permitted to enrol.

with MATH1013.