## MT860.406 Basic Calculus

## Unit Description

## Pre-requisites

None.

## Co-requisites

None.

## Learning Outcomes

On successful completion of this unit, the student will be able to:

Describe basic properties and behavior of functions by analytic, numerical and graphical means.

Critically analyse change in real-life problems by using computer algebra and spreadsheet software as aids.

Analyse and apply a geometric interpretation of the limiting processes involved in taking the derivative and the integral of a function.

Present and interpret mathematical results in mathematical terms.

## 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 include limits, continuity, derivatives, linear approximation, the Fundamental Theorem of Calculus, and elementary techniques of integration.

## Teaching Strategies

## Unit offerings

**Face to face:**
### 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 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.