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Undergraduate UNE-MTHS120-2021

Calculus and Linear Algebra 1

From

$2,200 $2,200

Your upfront cost: $0

International student?

Duration

16 weeks

Study method

Online and other materials

Available loans

  • FEE-HELP

Assessments

Subjects may require attendance

Prior study

Not required

Study terms

  • 01 Mar 2021
  • 28 Jun 2021
University of New England - Logo

The University of New England is the only Australian public university to be awarded the maximum 5 stars for Overall Experience by the Good Universities Guide, 13 years in a row. UNE has delivered distance education since 1955—that’s longer than any other Australian university. Perhaps that’s why students continue to rate UNE so highly for student satisfaction and teaching quality. With over 170 degrees offered online, and more than 20,000 online students, UNE is the expert in online education.

QS RANKING 2021

34

Times Higher Education Ranking 2021

N/A

  • 2021

Subject details

What you'll learn

Upon completion of this subject, 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.
Topics covered
    • Topics will be available to enrolled students in the subjects Learning Management System site approximately one week prior to the commencement of the teaching period.
Entry requirements

In order to enrol in this subject, you must be accepted into one of the following degrees:

Elective
  • UNE-DSC-DIP-2020
  • UNE-INF-DIP-2020
  • UNE-INF-DIP-2020
  • UNE-DSC-DIP-2021
  • UNE-INF-DIP-2021
  • UNE-INF-DIP-2021

Special requirements

  • EquipmentDetails - Headphones or speakers (required to listen to lectures and other media) Headset, including microphone (highly recommended) Webcam (may be required for participation in virtual classrooms and/or media presentations).
  • SoftwareDetails - Please refer students to link for requirements: http://www.une.edu.au/current-students/support/it-services/hardware It is essential for students to have reliable internet access in order to participate in and complete your units, regardless of whether they contain an on campus attendance or intensive school component.
  • TravelDetails - Travel may be required if students choose to attend the Non-Mandatory Intensive School. In 2021 the Non-Mandatory Intensive school will be held at the Armidale campus NSW. Trimester 1 dates: There is no Non-Mandatory Intensive School for Trimester 1 Trimester 2 dates: The Trimester 2 Intensive School dates are to be advised.
  • OtherDetails -

    Textbook information is not available until approximately 8 weeks prior to the commencement of the Teaching period. 
    Students are expected to purchase prescribed material. 
    Textbook requirements may vary from one teaching period to the next.

Description

This subject 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 subject 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.

Assessments

Assessment 1 to Assessment 9: Notes - Mathematical calculations and problem solving assignment. Relates to Learning Outcomes 1, 2, 3, 4. Final Examination: 2 hrs 15 mins. Notes - The exam will be offered online with supervision via webcam and screen sharing technology. Coordinated by UNE Exams Unit. It is mandatory to pass this examination in order to pass this unit. To obtain a distinction in this unit, a student must obtain a distinction in the examination. Relates to Learning Outcomes 1, 2, 3, 4. UNE manages supervised exams associated with your UNE subjects. Prior to census date, UNE releases exam timetables. They’ll email important exam information directly to your UNE email address.

  • Assessment 1 (4%)
  • Assessment 2 (4%)
  • Assessment 3 (4%)
  • Assessment 4 (5%)
  • Assessment 5 (4%)
  • Assessment 6 (5%)
  • Assessment 7 (4%)
  • Assessment 8 (5%)
  • Assessment 9 (5%)
  • Final Examination (Online) (60%)
Textbooks

Check the learning management system (LMS) of your university for textbook details.

Check the learning management system (LMS) of your university for textbook details.

Related degrees

Undergraduate UNE-DSC-DIP-2020

Diploma in Science

Undergraduate UNE-INF-DIP-2020

Diploma in Information Technology

Undergraduate UNE-DSC-DIP-2021

Diploma in Science

Undergraduate UNE-INF-DIP-2021

Diploma in Information Technology

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