FNMT1002Foundational Studies in Mathematics

Course handbook

Description

Many relationships in the real world can be modelled via a function. The course introduces common functions used in the sciences, equips students with the tools of differential and integral calculus to analyse the properties of 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 algebra but who have not studied, or who have not succeeded in, the 2-Unit or higher mathematics courses at the HSC level.Academic skills and support are embedded into each diploma course.

Availability

Not currently offered.

This Course was last offered in Semester 2 - 2024.

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.

Content

• Essential algebra including expanding, factoring, fractions and powers, polynomials and surds
• Real valued functions: (including exponentials, logarithms and trigonometric functions) properties of these functions, their usage in problem solving and sketching their graphs
• Introduction to complex numbers and the algebraic techniques to manipulate them
• Differentiation and Integration of all functions studied in this course as well as further techniques for more complicated functions

Requisite

This course is equivalent to MATH1002. If you have successfully completed MATH1002, you cannot enrol in FNMT1002.

Assumed knowledge

HSC General Mathematics, or FNMT1001, or equivalent.

Assessment items

Quiz: Quiz

In Term Test: Mid-Semester In-Class Test

Formal Examination: Final Examination

Course outline

Course outline not yet available.