MT560 Basic Calculus
Unit Description
Pre-requisites
None.Co-requisites
None.Learning Outcomes
On successful completion of this unit, the student will be able to:
Analyse and interpret the behaviour of functions using analytic, graphical, and numerical techniques.
Apply the concept of rate of change to real-world problems, using digital tools to model, analyse, and communicate mathematical insights.
Explain and visualise limiting processes in differentiation and integration, and critically reflect on their conceptual foundations.
Present and interpret mathematical findings clearly and accurately using appropriate terminology and academic writing conventions.
Unit Description
Calculus is the mathematical study of change. This unit investigates infinite processes such as finding instantaneous velocity, the slope of a tangent line at a point on a curve, the area of a region on the plane, the volume of revolution and sum of an infinite sequence of numbers. These are the basic problems in calculus. Calculus is applied to solve a wide range of problems in chemical, biological, physical and engineering sciences, and also in finance and economics.
Topics
- Limits
- Continuity
- Derivatives
- Linear Approximation
- The Fundamental Theorem of Calculus
- Elementary techniques of integration.
Teaching Strategies
Teaching strategies include lectures and tutorials, weekend schools; class discussions; role plays and practice of skills within class; presentation of instructional material in the form of printed documentation, DVD, video and audio tape and on-line interaction.
Unit offerings
Please note
The Unit Offerings listed above are a guide only and the timetable for any year is the final authority. The College may vary offerings based on demand, regulatory requirements, continual improvement processes or other conditions.
This unit may be available in different modes of delivery i.e. online and face-to-face as listed above. The unit content will not differ between these modes of delivery. There will possibly be a difference in the schedule and/or the prescribed assessment tasks, however both will cover and assess the same content.