The University of Sydney
School of Mathematics and Statistics
Assignment 1
MATH1001: Dierential Calculus
Summer School, 2015
This assignment is due on Tuesday, Week 6 (10th of February) during the 10am
lecture. This assignment is worth 10% of your nal ass
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 3
SS1001: Differential Calculus
Summer School, 2015
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Assumed knowledge
Familiarity with
x , sin x, cos x, ex and ln x (and th
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 5
SS1001: Differential Calculus
Summer School, 2015
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Assumed knowledge
The basic rules for differentiation (sum, product, quo
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 4
SS1001: Differential Calculus
Summer School, 2015
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Assumed knowledge
Familiarity with coordinate axes in two and three dime
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 1
SS1001: Differential Calculus
Summer School, 2015
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Objectives
By the end of Tutorial 1 you should be able to:
1a interpret
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 6
SS1001: Differential Calculus
Summer School, 2015
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Assumed knowledge
Familiarity with the denition of the limit of a functi
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 7
SS1001: Differential Calculus
Summer School, 2015
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Assumed knowledge
The basic rules and procedures for nding local maximum
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 10
SS1001: Differential Calculus
Summer School, 2015
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Assumed knowledge
Familiarity with x , sin x, cos x, ex and ln x on the
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 9
SS1001: Differential Calculus
Summer School, 2015
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Assumed knowledge
Partial derivatives; dot products of vectors; the chai
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 8
SS1001: Differential Calculus
Summer School, 2015
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Assumed knowledge:
Derivatives of functions of one variable; partial der