Calculus
Jess-93
assignments_marking_scheme_20140.rtf
QUESTION 1 MARKING SCHEME – 20 marks
Category
marks
marks
marks
mark
Explain in your
Excellent
Good explanation
Too short or has
Not done
own words the
explanation of
but could be better
mistakes
two definitions of
relations with
6 marks
3 marks
the Fundamental
graphs
0 marks
Theorem of
8 marks
Calculus
Validation and
All websites used
Some websites are
Websites are not
citations
were validated and
cited properly
indicated nor
cited appropriately
validated.
2 marks
1 mark
O marks
QUESTION 2 MARKING SCHEME – 20 marks
Category
marks
marks
marks
mark
Explain with your
Excellent
Good explanation
Too short or has
Not done or it is all
own examples
explanation of
but could be better
mistatkes
incorrect
when and why
relations with
we can use
graphs
6 marks
4 marks
L’Hopital’s rule to
8 marks
0 marks
calculate limits
and how it should
be used.
Validation and
All websites used
Some websites are
Websites are not
citations
were validated and
cited properly
indicated nor
cited appropriately
validated.
2 marks
1 mark
O marks
QUESTION 3 MARKING SCHEME – 20 marks
Category
marks
marks
marks
mark
Explain in your
Excellent
Good explanation
Very short
Not done
own words and
explanation
but could be better
explanation
using your own
8 marks
6 marks
3 marks
0 marks
examples (not
sin, cos or ex),
how Taylor Series
approximation
works. What
benefits does a
Taylor Series
provide?
Validation and
All websites used
Some websites are
Websites are not
citations
were validated and
cited properly
indicated nor
cited appropriately
validated.
2 marks
1 mark
O marks
QUESTION 4 MARKING SCHEME – 20 marks
Category
marks
marks
marks
mark
Explain in your
Excellent
Good explanation
Very short
Not done
own words and
explanation
but could be better
explanation
using your own
8 marks
6 marks
3 marks
0 marks
examples what is
integration, what
kind of problems
it solves and how
it solves them.
Validation and
All websites used
Some websites are
Websites are not
citations
were validated and
cited properly
indicated nor
cited appropriately
validated.
2 marks
1 mark
O marks
QUESTION 5 MARKING SCHEME – 20 marks (References are not needed for this question but OK if they have been used and cited)
Category
marks
marks
marks
mark
a)
Determine the values of x and y which make
Excellent explanation
Good explanation
Very short
Not done
xy2 as large as possible.
10 marks
but could be better
explanation and
b)
Determine the values of x and y which make
mistakes
xy2 as small as possible.
8 marks
5 marks
0 marks
c)
Give an example of were optimization might
be used in the engineering discipline you
intend to study next year. Clearly state why
and how optimization would be used to solve
this problem. Include figures to illustrate the
problem.
Validation and citations
All websites used were
Some websites are
Websites are
validated and cited
cited properly
not indicated
appropriately
nor validated.
2 marks
1 mark
O marks
