T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Solutions to Tutorial 1
SS1001: Differential Calculus
Summer School, 2012
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Preparatory questions
1. Let A = cfw_1, 2, 3, 4 and B = cfw
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Solutions to Tutorial 3
SS1001: Differential Calculus
Summer School, 2012
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Preparatory questions
1. Write the following numbers in the
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Solutions to Tutorial 4
SS1001: Differential Calculus
Summer School, 2012
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Preparatory questions
1. Sketch the following parametric cu
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Solutions to Tutorial 5
SS1001: Differential Calculus
Summer School, 2012
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Preparatory questions
1. For each function, nd the indicate
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Solutions to Tutorial 5
SS1001: Differential Calculus
Summer School, 2012
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Preparatory questions
1. For each function, nd the indicate
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 6
SS1001: Differential Calculus
Summer School, 2012
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
Solutions to Tutorial 8
SS1001: Differential Calculus
Summer School, 2012
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Preparatory questions
1. Find the differential dz of each o
T HE U NIVERSITY OF S YDNEY
S CHOOL OF M ATHEMATICS AND S TATISTICS
Tutorial 9
SS1001: Differential Calculus
Summer School, 2012
Web Page: http:/www.maths.usyd.edu.au/u/UG/SS/SS1001/
Assumed knowledge
Partial derivatives; dot products of vectors; the chai