MTHS120 Calculus and Linear Algebra 1
Updated: 17 June 2019Credit Points  6  
Offering 


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


Supervised Exam  There is a supervised exam at the end of the teaching period in which you are enrolled. The paperbased exam will be held at an established exam venue, and coordinated by UNE Exams Unit.  
Prerequisites  None  
Corequisites  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 email 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 nonstandard 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 spacecoordinates; methods for solving linear systems of equations; linear independence of vectors. 

Prescribed Material Mandatory 
Text(s): Note: Students are expected to purchase prescribed material. 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 


Learning Outcomes (LO) 
Upon completion of this unit, students will be able to:
