Calculus 2
Subject MAST10006 (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:  A study score of at least 27 in VCE Specialist Mathematics 3/4, or equivalent, or one of Subject Study Period Commencement: Credit Points:
 
Corequisites:  None  
Recommended Background Knowledge:  None  
Non Allowed Subjects:  Students may only gain credit for one of Subject
Students who have completed either of the following 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/ 
Coordinator
Dr Christine Mangelsdorf, Dr Mark FackrellContact
First Year Coordinator
Email: fycoord@ms.unimelb.edu.au
Subject Overview: 
This subject will extend knowledge of calculus from school. Students are introduced to hyperbolic functions and their inverses, the complex exponential and functions of two variables. Techniques of differentiation and integration will be extended to these cases. Students will be exposed to a wider class of differential equation models, both first and second order, to describe systems such as population models, electrical circuits and mechanical oscillators. Calculus topics include: intuitive idea of limits and continuity of functions of one variable, hyperbolic functions and their inverses, level curves, partial derivatives, chain rules for partial derivatives, directional derivative, tangent planes and extrema for functions of several variables. Complex exponential topics include: definition, derivative, integral and applications. Integration topics include: techniques of integration and double integrals. Ordinary differential equations topics include: first order (separable, linear via integrating factor) and applications, second order constant coefficient (particular solutions, complementary functions) and applications.


Objectives:  Students completing this subject should be able to:

Assessment: 
Two or three written assignments due at regular intervals during semester amounting to a total of up to 25 pages (10%), a 45minute written test held midsemester (15%), and a 3hour written examination in the examination period (75%).

Prescribed Texts:  Calculus 1 & 2 (Hass, Weir, Thomas, Adams and Essex), Pearson, 2010. 
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 score of 40 or more in VCE Specialist Mathematics 3/4 are strongly encouraged to enrol in both
instead of both

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. 
Related Breadth Track(s): 
Electrical Engineering Mathematics and Statistics Chemical Engineering Mathematics for Economics Data Analysis Mechanical Engineering 
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