MTHS120 Calculus and Linear Algebra 1

Updated: 25 September 2019
Credit Points 6
Offering
Location Teaching Period Mode of Study
Armidale OUA Trimester 1 Online
Armidale OUA Trimester 2 Online
Armidale Trimester 1 Online
Armidale Trimester 1 On Campus
Armidale Trimester 2 Online
Armidale Trimester 2 On Campus
Intensive School(s)

Intensive schools are for students enrolled in Online Mode only, unless specified in the notes.

Start Finish Attendance Notes
22 April 2020 24 April 2020 Non-Mandatory Trimester 1 Intensive School
17 August 2020 19 August 2020 Non-Mandatory Trimester 2 Intensive School
Supervised Exam There is a supervised exam at the end of the teaching period in which you are enrolled. The paper-based exam will be held at an established exam venue, and coordinated by UNE Exams Unit.
Pre-requisites None
Co-requisites None
Restrictions MATH101
Notes

This unit is designed to serve the needs of students in both the Life Sciences and Engineering. While lectures will be common to both streams, provision will be made to structure specialist tutorials with examples and applications relevant to the different groups.

Students contemplating enrolment in MTHS120 who are not familiar with the content of Year 12 Mathematics Extension 1, or its equivalent, should contact staff in the School of Science and Technology at mathsenquiries@une.edu.au before enrolling. In your e-mail please state your course of study and your mathematics background.

Combined Units None
Coordinator(s) Adam Harris (aharris5@une.edu.au)
Unit Description

This unit provides a thorough introduction to Differential and Integral Calculus. With the derivative we learn how to measure variable rates of change in natural processes, to isolate maxima and minima of functions, and to apply these techniques to solve problems of optimisation. With the definite integral we learn how to compute non-standard areas and volumes, understood as special instances of the total distribution of data prescribed by a continuous density.

Students in this unit will also be introduced to the algebra and geometry of linear systems of equations and their solutions. Together with Calculus, Linear Algebra provides the second essential tool of mathematical modelling.

Topics covered include a review of elementary functions and their inverses; limits and continuity of functions; derivatives, basic techniques of differentiation, and applications; the definite integral, basic techniques of integration, and applications; and vectors, subspaces, and linear mappings using two, three, or more space-coordinates; methods for solving linear systems of equations; linear independence of vectors.

Materials Textbook information will be displayed approximately 8 weeks prior to the commencement of the teaching period. Please note that textbook requirements may vary from one teaching period to the next.
Disclaimer Unit information may be subject to change prior to commencement of the teaching period.
Assessment Assessment information will be published prior to commencement of the teaching period.
Learning Outcomes (LO) Upon completion of this unit, students will be able to:
  1. apply the concept of limit to a range of infinite sequences, and relate this to the concept of continuity in the context of specific functions;
  2. relate the concept of derivative to variable rates of change in natural processes, identify and apply appropriate techniques of differentiation to a range of functions, locate and classify maxima and minima of functions, and apply all of these to one-variable problems of optimisation;
  3. relate the concept of definite integral to area, volume and the general accumulation of a quantity prescribed initially in terms of density, compute integrals of functions via elementary anti-differentiation and elementary changes of variable; and
  4. solve systems of linear equations, and classify the solution sets as being either uniquely determined, underdetermined, or overdetermined.