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
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 course
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
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) =
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 N
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 coursew
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 course
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 hyp
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 p
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
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 s
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.
1
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 u
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 course
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 ass
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 ass