MACQUARIE UNIVERSITY
MATH396-Engineering Mathematics III, 2015
ASSIGNMENT TWO
To be handed in to Barry Quinn by 11a.m., Friday, 1st May, with your
name and student number written on the rst page.
Question 1
The random variable X is distributed exponential
Title
Regular Surfaces
MATH 2040
October 14, 2015
MATH 2040
Regular Surfaces
October 14, 2015
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Readings
Readings and Suggested Exercises
Readings for regular surfaces
Section 2.2
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Regular Surfaces
October 14, 2015
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Regular surfaces; i
Title
Parallel Transport and Geodesics
MATH 2040
December 3, 2015
MATH 2040
Parallel Transport
December 3, 2015
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Readings
Readings
Readings: Section 4.4 (but not Lemma 1, Proposition 3 and
Proposition 4)
MATH 2040
Parallel Transport
December 3, 2015
Title
Isometries
MATH 2040
December 1, 2015
MATH 2040
Isometries
December 1, 2015
1/6
Readings
Readings
Readings: Section 4.1, 4.2 up to first paragraph of page 226.
MATH 2040
Isometries
December 1, 2015
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Isometries
What is an isometry?
Idea: An isomet
Title
Gauss map in coordinates
MATH 2040
November 17, 2015
MATH 2040
Gauss in coordinates
November 17, 2015
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Readings
Readings
Readings: Section 3.3.
MATH 2040
Gauss in coordinates
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Gauss map in coordinates
The Problem
For th
Title
Denition of the Gauss map
MATH 2040
November 6, 2015
MATH 2040
Gauss map
November 6, 2015
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Readings
Readings
Readings: Sections 3.1 and 3.2 up to page 148. We will not cover
asymptotic curves or the Dupin indicatrix.
MATH 2040
Gauss map
Novemb
Title
First Fundamental Form
MATH 2040
October 23, 2015
MATH 2040
First Fundamental Form
October 23, 2015
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Readings
Readings
Readings:
Section 2.5
MATH 2040
First Fundamental Form
October 23, 2015
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The rst fundamental form and area
What is the rst f
Title
Differentiability, continuity and the chain rule
MATH 2040
October 6, 2015
MATH 2040
Differentiability
October 6, 2015
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Readings
Readings
Appendix to Chapter 2
MATH 2040
Differentiability
October 6, 2015
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Appendix
Functions of several va
Title
Curves and Surfaces: Chapter I
MATH 2040
September 18, 2015
MATH 2040
Chapter I
September 18, 2015
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Readings
Readings
Readings for Chapter I
Sections 1.1, 1.2, 1.3, 1.4 (review - covered in prerequisites), 1.5
MATH 2040
Chapter I
September 18,
Title
Change of Parameters
MATH 2040
October 12, 2015
MATH 2040
Change of Parameters
October 12, 2015
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Readings
Readings
Readings for Change of Parameters
Section 2.3
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Change of Parameters
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Change of parameters
What is a ch
Title
The Tangent Plane
MATH 2040
October 22, 2015
MATH 2040
Tangent Plane
October 22, 2015
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Readings and Suggested Exercises
Readings and Suggested Exercises
Readings:
Section 2.4
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Tangent Plane
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Tangent plane; the differe