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The University of Sydney
Math1003 Integral Calculus and Modelling
Semester 2
Exercises and Solutions for Week 2
2014
Assumed Knowledge: Sigma notation for sums. The ideas of a sequence of numbers and
of the limit of a sequence. Sketching a curve given a f
8002A SEMESTER 1 2022 PAGE 16 OF 30
Extended Answer Section
There are three questions in this section, each with a number of ports, Write your answers
in the space provided below each part. If you need more space there are extra pages at the
end of the ex
8002A SEMESTER 1 2009 PAGE 2.8 0F 30
Extended Answer Section
There arethree questions in this section, each with a number ofperts. Write your answers
in the space provided below each part. If you need more space there are extra pages at the
end of the e
The University of Sydney
Math1003 Integral Calculus and Modelling
Semester 2
Exercises and Solutions for Week 3
2014
Assumed Knowledge: Integrals of simple functions such as xn (including 1/x), sin x, cos x,
ex . The simple properties of denite integrals.
The University of Sydney
Math1003 Integral Calculus and Modelling
Semester 2
Exercises and Solutions for Week 4
2014
Assumed Knowledge: Sketching curves of simple functions. Integrals of simple functions
such as xn (including 1/x), sin x, cos x, ex .
Obje
Attached are questions selected from the MATH1002 examinations for 2005, 2006 and
2007, together with brief solutions. Question 3 in the 2005 and 2006 examinations has
been omitted, since it involves elementary matrices that were not covered in 2007 and
2
The University of Sydney
Math1003 Integral Calculus and Modelling
Semester 2
Exercises and Solutions for Week 5
2014
Assumed Knowledge: Sketching curves of simple functions. Integrals of simple functions
such as xn (including 1/x), sin x, cos x, ex .
Obje