Year
2021
Units
4.5
Contact
4 x 1-hour lectures weekly
1 x 1-hour tutorial fortnightly
Prerequisites
1 Admission into BENGSC-Bachelor of Engineering Science
2 1 of MATH1701, MATH1205
3 Admission into any course other than BENGSC
Must Satisfy: ((1 and 2) or (3))
Enrolment not permitted
MATH1203 has been successfully completed
Assumed knowledge
SACE Stage 2 (Year 12) Mathematical Studies or Mathematical Methods. Students without the assumed knowledge please see MATH1701 Mathematical Fundamentals A.
Assessment
Assignments, Examination
Topic description

This topic together with MATH1122 Mathematics 1B is designed for students who have studied SACE Stage 2 Mathematics and who wish to proceed to a degree in any discipline which requires higher level mathematics. It is the standard prerequisite for all higher level topics in mathematics that require knowledge of first year mathematics.

The material covered includes: functions, limits and continuity, differential calculus, computation of derivatives, the chain rule, Intermediate Value and Mean Value Theorems. Applications to graphing, rates of change, maxima and minima. Complex numbers, Euler's formula, complex exponential. Three-dimensional analytic geometry, matrices, systems of linear equations, vectors, equations of lines and planes.

Educational aims

This topic aims to introduce the basic concepts and techniques of differential calculus, complex numbers, linear algebra, systems of equations and matrices and provides the foundation for all areas requiring first year university mathematics. Intensive hands-on approach in the workshops aims to provide the students the essential skills in mathematical manipulations within the context of the course. The topic aims to develop a modelling and problem solving approach to mathematics and its applications through an appropriate combination of the underlying concepts and the facility of mathematical software.

Expected learning outcomes
On completion of this topic you will be expected to be able to:

  1. Understand the key concepts which underlie single-variable differential calculus and linear algebra
  2. Be familiar with the basic facilities available in Maplemathematical software
  3. Use problem solving, critical and reasoning abilities