## 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:

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

Use the concept of rate of change in real-life problems using computer algebra and spreadsheet software as aids

State a geometric interpretation of the limiting processes involved in taking the derivative and the integral of a function

Communicate, present and interpret, using mathematical terms, mathematical results in report writing.

## 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

**Face to face:**
Semester 1, 2021; Semester 1, 2023, and Semester 1, 2025

### 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.