The University of Newcastle, Australia
Available in 2021
Course code



10 units


1000 level

Course handbook


Many relationships in the real world can be modelled via a mathematical function of one or more variables. This course introduces common functions of one variable used in the sciences, equips students with the tools of differential and integral calculus to analyse the properties of such functions, and develops an understanding of the role of functions and calculus in real-world systems.

This course is suitable for students with a background in high-school mathematics who have not studied, or who have not succeeded in, 2 unit or higher mathematics courses at HSC level.

Students cannot count MATH1002 for credit if they have previously passed MATH1100, MATH1110 or MATH1210.



  • Semester 1 - 2021
  • Semester 2 - 2021

Learning outcomes

On successful completion of the course students will be able to:

1. apply skills in algebra, differential calculus and integral calculus to solve mathematical problems

2. use mathematical functions and their graphs to clearly specify relationships between variables

3. recall and apply properties of common functions of a single real variable to solve mathematical problems


  1. Essential Algebra including expanding, factoring, fractions and powers, polynomials and surds

  2. Real Valued Functions including exponentials and trigonometric functions and their inverse functions; sketching graphs

  3. Differentiation and integration of simple functions; geometric interpretation and applications

Assumed knowledge

HSC General Mathematics, or MATH1001, or equivalent.

Assessment items

In Term Test: Mid-Semester In-Class Test

Formal Examination: Examination

Quiz: Class quiz

Quiz: Online quiz

Contact hours



Face to Face On Campus 4 hour(s) per Week for Full Term

These contact hours are for delivery of the course in a semester term. For a summer/winter term the lectures may be delivered as face to face compressed in to the shorter term or blended with online lectures combined with face to face to face workshops.


Face to Face On Campus 2 hour(s) per Week for 11 Weeks

Compulsory Requirement: Every student must attend a minimum of 80% of workshops to meet course requirements