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.
Ques
Title
Regular Surfaces
MATH 2040
October 14, 2015
MATH 2040
Regular Surfaces
October 14, 2015
1 / 12
Readings
Readings and Suggested Exercises
Readings for regular surfaces
Section 2.2
MATH 2040
Regul
Title
Parallel Transport and Geodesics
MATH 2040
December 3, 2015
MATH 2040
Parallel Transport
December 3, 2015
1 / 17
Readings
Readings
Readings: Section 4.4 (but not Lemma 1, Proposition 3 and
Propo
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, 2
Title
Gauss map in coordinates
MATH 2040
November 17, 2015
MATH 2040
Gauss in coordinates
November 17, 2015
1 / 12
Readings
Readings
Readings: Section 3.3.
MATH 2040
Gauss in coordinates
November 17,
Title
Denition of the Gauss map
MATH 2040
November 6, 2015
MATH 2040
Gauss map
November 6, 2015
1 / 16
Readings
Readings
Readings: Sections 3.1 and 3.2 up to page 148. We will not cover
asymptotic cur
Title
First Fundamental Form
MATH 2040
October 23, 2015
MATH 2040
First Fundamental Form
October 23, 2015
1/7
Readings
Readings
Readings:
Section 2.5
MATH 2040
First Fundamental Form
October 23, 2015
Title
Differentiability, continuity and the chain rule
MATH 2040
October 6, 2015
MATH 2040
Differentiability
October 6, 2015
1 / 12
Readings
Readings
Appendix to Chapter 2
MATH 2040
Differentiability
Title
Curves and Surfaces: Chapter I
MATH 2040
September 18, 2015
MATH 2040
Chapter I
September 18, 2015
1 / 29
Readings
Readings
Readings for Chapter I
Sections 1.1, 1.2, 1.3, 1.4 (review - covered i
Title
Change of Parameters
MATH 2040
October 12, 2015
MATH 2040
Change of Parameters
October 12, 2015
1/7
Readings
Readings
Readings for Change of Parameters
Section 2.3
MATH 2040
Change of Parameters
Title
The Tangent Plane
MATH 2040
October 22, 2015
MATH 2040
Tangent Plane
October 22, 2015
1/8
Readings and Suggested Exercises
Readings and Suggested Exercises
Readings:
Section 2.4
MATH 2040
Tangen