6 points, SCA Band 2, 0.125 EFTSL
Undergraduate - Unit
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
- First semester 2017 (Day)
- Second semester 2017 (Day)
Properties of real and complex numbers; algebraic functions and common transcendental functions; modelling change using elementary functions; limits and continuity; rate of change, derivatives, local and global extrema; sums and integrals, anti-derivatives, calculus applications: optimisation, area and volume, introduction to differential equations; Vectors in two- and three- dimensional space.
On completion of this unit students will be able to:
- Demonstrate basic knowledge of complex numbers, including algebraic manipulations and their various representations;
- Demonstrate basic knowledge of vectors in two and three-dimensional space, their properties, and geometric applications;
- Calculate simple limits to describe continuity and behaviour of one-variable real functions near a point and at infinity;
- Explain how differentiation and integration arise as limits of functions;
- Calculate derivatives and integrals using a variety of methods;
- Use calculus methods to analyse function characteristics such as local and global extrema, concavity and points of inflection;
- Solve differential equations of the separable variables type;
- Use calculus techniques to solve a variety of problems that can be modelled with functions or with first order differential equations;
- Demonstrate proficiency in mathematical writing and communication.
Examination (3 hours): 70%
Assignments and tests: 30%
Three 1-hour lectures and one 2-hour support class per week
See also Unit timetable information
This unit applies to the following area(s) of study
MTH1010 or VCE Mathematical Methods units 3 and 4 with a study score of at least 25