HG1M01-E1
The University of Nottingham
SCHOOL OF MATHEMATICAL SCIENCES
A LEVEL 1 MODULE, AUTUMN 20092010
CALCULUS FOR ENGINEERS
Time allowed TWO Hours
Candidates may complete the front cover of their answer book and sign their desk card but must
NOT write
University of Nottingham
School of Mathematical Sciences
HG1M01
Calculus for Engineers
Submission deadline: Thursday 21 October 2010, 4pm
Assignment 1
The following exercises are to be used for coursework assessment in the module HG1M01. Credit
will be gi
HG1M01
Calculus for Engineers
The maximum marks for each section are denoted in brackets [ ].
1. Solve the equations for z C:
1
(a) z 4 = (1 + i).
2
[10]
1
(b) sinh(z ) = i. [Hint: The hyperbolic sine is dened as sinh(x) = 2 (ex ex )]
[10]
2. Consider the
HG1M01
Calculus for Engineers
The maximum marks for each section are denoted in brackets [ ].
1. Simplify
(a) sin(arctan(x).
[5]
(b) arccos(sin(x).
[5]
Answer:
2. (a) The exponential function f (t) = Cet satises the conditions f (0) = 2 and f (1) = 0.5.
D
The University of Nottingham
School of Mathematical Sciences
A LEVEL 1 MODULE, AUTUMN 20102011
CALCULUS FOR ENGINEERS
COURSEWORK TEST THURSDAY 2 DECEMBER 2010
Time allowed 40 Minutes
Candidates must NOT start writing their answers until told to do so.
Thi
University of Nottingham
School of Mathematical Sciences
HG1M01
Calculus for Engineers
Submission deadline: Tuesday 27 October 2009, 4pm
Assignment 1
The following exercises are to be used for coursework assessment in the module HG1M01. Credit
will be giv
University of Nottingham
School of Mathematical Sciences
HG1M01
Calculus for Engineers
Submission deadline: Tuesday 10 November 2009, 4pm
Assignment 2
The following exercises are to be used for coursework assessment in the module HG1M01. Credit
will be gi
HG1M01
Calculus and its Applications
The maximum marks for each section are denoted in brackets [ ].
1
1. Show that the derivative of sec1 (x) is
.
x x2 1
Answer:
[10]
2. (a) Consider the inverse hyperbolic function y = cosh1 (x) for x > 1 and y > 0. Sho
HG1M01
Calculus and its Applications
The maximum marks for each section are denoted in brackets [ ].
1. (a) Find the stationary points of the function sin3 (x) and classify them as maxima, minima
or points of inection.
[15]
(b) Determine the Taylor series
HG1M01-E1
The University of Nottingham
SCHOOL OF MATHEMATICAL SCIENCES
A LEVEL 1 MODULE, AUTUMN 20082009
CALCULUS FOR ENGINEERS (WITH MODEL SOLUTIONS)
Time allowed TWO Hours
Candidates must NOT start writing their answers until told to do so.
This paper h
The University of Nottingham
School of Mathematical Sciences
HG1M01
Calculus for Engineers
Exam 20082009. Common Errors
15 (a)
Not multiplying throughout properly by the denominator of the left hand side,
particularly, for the Ax + B term on the right han
The University of Nottingham
School of Mathematical Sciences
HG1M01
Calculus for Engineers
Exam 2007-2008. Common Errors
15 (a)
Incorrect sign for the term in i2 in the binomial expansion of (2 i)2.
15 (b)
Failure to separate out real and imaginary terms
HG1M01-E1
The University of Nottingham
SCHOOL OF MATHEMATICAL SCIENCES
A LEVEL 1 MODULE, AUTUMN 20072008
CALCULUS FOR ENGINEERS
Time allowed TWO Hours
Candidates must NOT start writing their answers until told to do so.
This paper has TWO sections which c
University of Nottingham
School of Mathematical Sciences
HG1M01
Calculus for Engineers
Submission deadline: Tuesday 24 November 2009, 4pm
Assignment 3
The following exercises are to be used for coursework assessment in the module HG1M01. Credit will be
gi
University of Nottingham
School of Mathematical Sciences
HG1M01
Calculus for Engineers
Submission Date: Tuesday, 14 November 2006
Assignment 2
The following exercises are to be used for coursework assessment in the module HG1MO1. Credit
will be given for
University of Nottingham
School of Mathematical Sciences
HG1M01
Calculus for Engineers
Submission Date: Tuesday, 28 November 2006
Assignment 3
The following exercises are to be used for coursework assessment in the module HG1MO1. Credit
will be given for
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