The University of Sydney
School of Mathematics and Statistics
Assignment
MATH3969: Measure Theory and Fourier Analysis (Advanced)
Semester 2, 2014
Web Page: http:/www.maths.usyd.edu.au/u/UG/SM/MATH3969/
Lecturer: Daniel Daners
Due on Monday 8 September in
The University of Sydney
Math1003 Integral Calculus and Modelling
Summer School
Tutorial 10
2015
Assumed Knowledge: Integration techniques.
Objectives:
(10a) To be able to solve dierential equations that are separable, linear or both.
(10b) To be able to
The University of Sydney
Math1003 Integral Calculus and Modelling
Summer School
Tutorial 7
2015
Assumed Knowledge: Factorisation of expressions. Simple techniques of integration.
Objectives:
(7a) To be able to recognise a dierential equation as a separabl
The University of Sydney
Math1003 Integral Calculus and Modelling
Summer School
Tutorial 5
2015
Assumed Knowledge: Simple properties of the functions ln x and ex , including their
derivatives.
Objectives:
(5a) To know and be able to use the properties of
THE UNIVERSITY OF SYDNEY
MATH1003 INTEGRAL CALCULUS AND MODELLING
Summer School Tutorial 3 2015
Assumed Knowledge Sketching curves of simple functions. Integrals of simple functions
such as 3:" (including 1/33), sin 3:, cos at, 6.
Objectives
(3a) To b
The University of Sydney
Math1003 Integral Calculus and Modelling
Summer School
Tutorial 11
2015
Assumed Knowledge: Finding the roots of quadratic equations. Eulers formula ei =
cos + i sin .
Objectives:
(11a) To be able to write down the auxiliary (or ch
THE UNIVERSITY OF SYDNEY
MATH1003 INTEGRAL CALCULUS AND MODELLING
Summer School Tutorial 9 2015
Assumed Knowledge Integration techniques.
Objectives
(9a) To be able to distinguish between separable and linear rst-order differential equations.
(9b) To
MATH1003 INTEGRAL CALCULUS AND MODELLING
'THEIHHVER$TY(M?SYDNEY
Summer School
Titorial 6
2015
Assumed Knowledge Proportionality and inverse proportionality. Integration techniques.
Taylor series expansion.
Objectives
(6a) Given a verbal description of
THE UNIVERSITY OF SYDNEY
MATH1003 INTEGRAL CALCULUS AND MODELLING
Summer School
Tutorial 8
2015
Assumed Knowledge: Integration techniques.
Objectives:
(8a) To be able to write a rational expression as a sum of partial fractions.
(8b) To be able to sol
THE UNIVERSITY OF SYDNEY
MATH1003 INTEGRAL CALCULUS AND MODELLING
Summer School Iiitorial 4 2015
Assumed Knowledge Sketching curves of simple functions. Integrals of simple functions
such as :6 (including 1/I)7 sin :5, cos :5, e?
Objectives
The University of Sydney
Math1003 Integral Calculus and Modelling
Summer School
Tutorial 2
2015
Assumed Knowledge: Integrals of simple functions such as xn (including 1/x), sin x, cos x,
ex . The simple properties of denite integrals.
Objectives:
(2a) To