Calculus 1
Subject MAST10005 (2015)
Note: This is an archived Handbook entry from 2015.
Credit Points:  12.5  

Level:  1 (Undergraduate)  
Dates & Locations:  This subject has the following teaching availabilities in 2015: Semester 1, Parkville  Taught on campus.
Semester 2, Parkville  Taught on campus.
Timetable can be viewed here. For information about these dates, click here.  
Time Commitment:  Contact Hours: 3 x one hour lectures per week, 1 x one hour practice class per week. Total Time Commitment: Estimated total time commitment of 170 hours  
Prerequisites:  Study score of 25 or more in VCE Mathematical Methods 3/4 or equivalent, or Subject Study Period Commencement: Credit Points:  
Corequisites:  None  
Recommended Background Knowledge:  None  
Non Allowed Subjects: 
Students who have completed any of the following may not enrol in this subject for credit:
Students may not enrol in MAST10005 Calculus 1 and MAST10006 Calculus 2 concurrently. Students with a study score of 30 or more in VCE Specialist Mathematics 3/4 or equivalent, may not enrol in this subject for credit. Bachelor of Science students are permitted to complete a maximum of three level1 Mathematics and Statistics subjects. They are not permitted to complete all four of MAST10005, MAST10006, MAST10007 and MAST10010  
Core Participation Requirements: 
For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Student Support and Engagement Policy, academic requirements for this subject are articulated in the Subject Overview, Learning Outcomes, Assessment and Generic Skills sections of this entry. It is University policy to take all reasonable steps to minimise the impact of disability upon academic study, and reasonable adjustments will be made to enhance a student's participation in the University's programs. Students who feel their disability may impact on meeting the requirements of this subject are encouraged to discuss this matter with a Faculty Student Adviser and Student Equity and Disability Support: http://services.unimelb.edu.au/disability 
Coordinator
Assoc Prof Deborah King, Dr Alexandru GhitzaContact
First Year Coordinator
Email: fycoord@ms.unimelb.edu.au
Subject Overview: 
This subject extends students' knowledge of functions and calculus and introduces them to the topics of vectors and complex numbers. Students will be introduced to new functions such as the inverse trigonometric functions and learn how to extend the techniques of differentiation to these. Integration techniques will be applied to solving first order differential equations. Differential calculus: graphs of functions of one variable, trigonometric functions and their inverses, derivatives of inverse trigonometric functions, implicit differentiation, related rates. Integral calculus: integration by trigonometric and algebraic substitutions and partial fractions with application to areas and volumes. Ordinary differential equations: solution of simple first order differential equations arising from applications such as population modelling. Vectors: dot product, scalar and vector projections, plane curves specified by vector equations. Complex numbers: arithmetic of complex numbers, sketching regions in the complex plane, De Moivre's Theorem, roots of polynomials, the Fundamental Theorem of Algebra. 

Learning Outcomes: 
Students completing this subject should:

Assessment: 
Ten written assignments due at weekly intervals throughout the semester amounting to a total of up to 50 pages of written work (20%), and a 3hour written examination conducted during the examination period (80%).

Prescribed Texts:  None 
Recommended Texts:  Hass, Weir, Thomas, University Calculus Early Transcendentals 2nd edition, Pearson, 2012. 
Breadth Options:  This subject potentially can be taken as a breadth subject component for the following courses: You should visit learn more about breadth subjects and read the breadth requirements for your degree, and should discuss your choice with your student adviser, before deciding on your subjects. 
Fees Information:  Subject EFTSL, Level, Discipline & Census Date 
Generic Skills: 
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:

Notes: 
This subject is available for science credit to students enrolled in the BSc (both pre2008 and new degrees), BASc or a combined BSc course. Students with a study score of 30 or more in VCE Specialist Mathematics 3/4 or equivalent may not enrol in this subject for credit. Such students should enrol in one of
Students with a study score of 29 in VCE Specialist Mathematics 3/4 or equivalent, are eligible to enrol in MAST10005 Calculus 1, MAST10006 Calculus 2 or MAST10007 Linear Algebra. Such students should seek course advice before completing their enrolment. 
Related Course(s): 
Bachelor of Environments 
Related Majors/Minors/Specialisations: 
BENG Chemical Engineering stream BENG Chemical and Biomolecular Engineering stream BENG Civil Engineering stream BENG Electrical Engineering stream BENG Mechanical Engineering stream BENG Software Engineering stream Civil (Engineering) Systems major Engineering Systems Environmental Engineering Systems major Environmental Science major Environments Discipline subjects Geomatics (Geomatic Engineering) major Sciencecredited subjects  new generation BSCI and BENG. Selective subjects for BBMED Spatial Systems 
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