ADVANCED CALCULUS AND CURVATURE
MAT3AC
2021
Credit points: 15
Subject outline
This subject unifies linear algebra and vector calculus from second year into the sort of calculus used in differential geometry and analysis. The central objects of study are curves and surfaces in the space and differentiable maps. Topics include: the implicit and inverse function theorems, tangent space and tangent map, curvature and torsion for curves, intrinsic and extrinsic curvature for surfaces, and the Theorema Egregium of Gauss.
SchoolEngineering and Mathematical Sciences
Credit points15
Subject Co-ordinatorYuri Nikolayevsky
Available to Study Abroad/Exchange StudentsYes
Subject year levelYear Level 3 - UG
Available as ElectiveNo
Learning ActivitiesN/A
Capstone subjectYes
Subject particulars
Subject rules
PrerequisitesMAT2VCA
Co-requisitesN/A
Incompatible subjectsN/A
Equivalent subjectsN/A
Quota Management StrategyN/A
Quota-conditions or rulesN/A
Special conditionsN/A
Minimum credit point requirementN/A
Assumed knowledgeN/A
Learning resources
Advanced Calculus and Curvature
Resource TypeBook
Resource RequirementPrescribed
AuthorY.Nikolayevsky
Year2014
Edition/VolumeN/A
PublisherLTU
ISBNN/A
Chapter/article titleN/A
Chapter/issueN/A
URLN/A
Other descriptionN/A
Source locationN/A
Career Ready
Career-focusedNo
Work-based learningNo
Self sourced or Uni sourcedN/A
Entire subject or partial subjectN/A
Total hours/days requiredN/A
Location of WBL activity (region)N/A
WBL addtional requirementsN/A
Graduate capabilities & intended learning outcomes
Graduate Capabilities
Intended Learning Outcomes
Subject options
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Melbourne (Bundoora), 2021, Semester 2, Day
Overview
Online enrolmentYes
Maximum enrolment sizeN/A
Subject Instance Co-ordinatorYuri Nikolayevsky
Class requirements
LectureWeek: 30 - 42
Two 1.00 hour lecture per week on weekdays during the day from week 30 to week 42 and delivered via face-to-face.
PracticalWeek: 30 - 42
One 1.00 hour practical per week on weekdays during the day from week 30 to week 42 and delivered via face-to-face.
Assessments
Assessment element | Category | Contribution | Hurdle | % | ILO* |
---|---|---|---|---|---|
Four written mathematics assignments (1000 words equivalent total) | Assignment | Individual | No | 20 | SILO1, SILO2, SILO3, SILO4, SILO5 |
One 1000-1500 word essay | Other | Individual | No | 10 | SILO5 |
One 2-hour written exam | Central exam | Individual | No | 70 | SILO1, SILO3, SILO4, SILO5 |