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Upon completion of this subject, students will be able to:
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;
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;
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
solve systems of linear equations, and classify the solution sets as being either uniquely determined, underdetermined, or overdetermined.
In order to enrol in this subject, you must be accepted into one of the following degrees:
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
SoftwareDetails - Please refer students to link for requirements:
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.
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.
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.
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.