Overview

To provide students with an introduction to differential and integral calculus.

Requisites

Teaching periods
Location
Start and end dates
Last self-enrolment date
Census date
Last withdraw without fail date
Results released date
Date Semester 2
Location
Hawthorn
Start and end dates
04-August-2025
02-November-2025
Last self-enrolment date
17-August-2025
Census date
31-August-2025
Last withdraw without fail date
19-September-2025
Results released date
09-December-2025

Learning outcomes

Students who successfully complete this unit will be able to:

  • Calculate average and instantaneous rates of change and apply these for simple functions
  • Calculate limits and apply L’Hôpital’s Rule
  • Find extrema and apply the Mean Value Theorem in simple situations
  • Find derivatives using the standard rules of differentiation and use differentiation tables for exponential, logarithmic, trigonometric and inverse trigonometric functions
  • Find derivatives for parametrized curves and apply this to motion problems
  • Solve simple optimization problems
  • Find anti-derivatives and use the definite integral and apply the Fundamental Theorem of Calculus in simple situations

Teaching methods

Hawthorn

Type Hours per week Number of weeks Total (number of hours)
Face to Face Contact (Phasing out)
Lecture		4.00 12 weeks 48
Face to Face Contact (Phasing out)
Tutorial		1.00 12 weeks 12
Unspecified Learning Activities (Phasing out)
Independent Learning		7.50 12 weeks 90
TOTAL150

Assessment

Type Task Weighting ULO's
AssignmentIndividual 40% 1,2,3,4,5,6,7 
ExaminationIndividual 40% 1,2,3,4,5,6,7 
Mid-Semester TestIndividual 20% 1,2,3,4,5 

Hurdle

As the minimum requirements of assessment to pass a unit and meet all ULOs to a minimum standard, an undergraduate student must have achieved:

(i) an aggregate mark of 50% or more, and(ii) at least 40% in the final exam.Students who do not successfully achieve hurdle requirement (ii) will receive a maximum of 45% as the total mark for the unit.

Content

  • Average and Instantaneous Rates of change
  • Limits and continuity
  • IROCs and the derivative
  • Extrema, the Mean Value Theorem
  • Higher order derivatives
  • Calculation of derivatives – power rule linearity, product and quotient rules
  • Chain rule and inverse functions
  • Parametrized curves and motion
  • Exponential and logarithmic functions
  • Trigonometric functions and their inverses
  • Optimization
  • L’Hôpital’s Rule   
  • Differential equations
  • Anti-derivatives
  • Integration by substitution
  • The definite integral
  • The Fundamental Theorem of Calculus

Study resources

Reading materials

A list of reading materials and/or required textbooks will be available in the Unit Outline on Canvas.