Available in 2022
Course code

EPMATH309

Units

20 units

Level

level

Course handbook

Description

This course prepares students for the commencement of undergraduate study in those courses that require a sound knowledge of mathematical principles. The depth and content is similar to HSC 2 Unit Mathematics. It covers number systems, basic algebra, simultaneous and quadratic equations, functions and graphs, sequences and series, trigonometry and differential and integral calculus with applications.

Recommended for degrees in Mathematics, Engineering, Computer Science, Surveying and Biotechnology.


Availability

Callaghan

  • Semester 2 - 2022
  • Semester 1 - 2022

Online

  • Semester 2 - 2022
  • Semester 1 - 2022

Learning outcomes

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

1. Explain the different number systems and how they are used within various scientific disciplines.

2. Use algebraic skills to solve real world problems.

3. Use graphical skills to solve real world problems.

4. Identify and use trigonometric skills sufficient for the understanding and practice of calculus.

5. Use differentiation and integration theory and skills to solve real-world problems.

6. Communicate mathematics in oral and written forms.

7. Determine the correct use of mathematical notation.

8. Formulate and solve real world problems in the language of mathematics.


Content

The course covers:

  • number systems: natural numbers, rationals, integers, surds and real numbers.
  • basic algebra: expanding, factoring, simplifying, solving equations and inequalities, quadratic equations, simultaneous equations.
  • curve sketching lines, circles, parabolas, hyperbolae, ellipses, polynomials, rational functions.
  • sequences and series: arithmetic and geometric progressions.
  • trigonometry: trig ratios in triangles, for common angles, for angles of any size. Identities. Sine and cosine rules. Graphs.
  • differentiation: definition; product, quotient, chain rules. Derivatives of common functions. Exponential and log functions. Applications.
  • integration: definition, integration by substitution, exponential growth and decay, and other applications.

Requisite

You cannot enrol in this course if you are have successfully completed or are enrolled in EPMATH134, EPMATH135, EPMATH153, EPMATH234, EPMATH235, EPMATH253, EPMATH302 or EPMATH303.

This course is only available to students who are active in the Open Foundation or the Yapug Programs [10719], [10720], [10919], [11015], [11016], [11195], [40216].


Assessment items

Written Assignment: Assignments

Quiz: Weekly Quizzes

Formal Examination: Formal Examination


Contact hours

Callaghan

Lecture

Face to Face On Campus 4 hour(s) per Week for 12 Weeks

Tutorial

Face to Face On Campus 1 hour(s) per Week for 11 Weeks

Workshop

Face to Face On Campus 1 hour(s) per Week for 12 Weeks

Online

Self-Directed Learning

Self-Directed 4 hour(s) per Week for 12 Weeks

Self-Directed learning is equivalent to face-to-face contact hours. It involves engagement with course materials that are delivered at a time that suits you via short videos, course notes, podcasts, readings and other activities.

Tutorial

Online 2 hour(s) per Week for 12 Weeks

via Blackboard Collaborate

Workshop

Face to Face On Campus 5 hour(s) per Term Full Term

Face2Face Day x 2

The University of Newcastle acknowledges the traditional custodians of the lands within our footprint areas: Awabakal, Darkinjung, Biripai, Worimi, Wonnarua, and Eora Nations. We also pay respect to the wisdom of our Elders past and present.