Calculus 1
Subject MAST10005 (2012)
Note: This is an archived Handbook entry from 2012.
Credit Points:  12.50  

Level:  1 (Undergraduate)  
Dates & Locations:  This subject has the following teaching availabilities in 2012: Semester 1, Parkville  Taught on campus.
Semester 2, Parkville  Taught on campus.
Lectures and practice classes. 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 120 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 may only gain credit for one of:
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 may not enrol in MAST10005 Calculus 1 and MAST10007 Linear Algebra 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.  
Core Participation Requirements:  For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements of this entry. The University is dedicated to provide support to those with special requirements. Further details on the disability support scheme can be found at the Disability Liaison Unit website: http://www.services.unimelb.edu.au/disability/ 
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. 

Objectives: 
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: 
Hass, Weir, Thomas, University Calculus Early Transcendentals 2nd edition, packaged with a differential equations supplement from Hass, Weir, Thomas Calculus, 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

Related Course(s): 
Bachelor of Biomedicine Bachelor of Engineering 
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 Environments Discipline subjects Geomatics (Geomatic Engineering) major Physical (Environmental Engineering) Systems major Science credit subjects* for pre2008 BSc, BASc and combined degree science courses Sciencecredited subjects  new generation BSCI and BENG. Core selective subjects for BBMED. 
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