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School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 9 1. State the Divergence Theorem. Evaluate both sides of the Divergence Theorem for the vector field = over a volume V which is the interior of the unit cube, i.e. the cube whose vertices are (0,0,0, (1,0,0), (0,1,0),
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 12 1. A 2  periodic function ( ) can be represented in Fourierseries form ( )= ( + cos + sin ) Show that the coefficients are given by Eulers formulae = = = 1 1 1 2 ( )d ( ) cos d ( ) sin d n =1, 2,3, 2. Consider
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 11 1. Evaluate .d where, is the circle + = 4, = 3 orientated counterclockwise as seen by a person standing at the origin, and with respect to righthanded Cartesian coordinates. Here, = + Use Stokes Theorem to evaluate
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 8 1. Calculate .d where =4 (a) C: = (b) C: = 2. If = 3 +2 + + 0 1 + + + over each of the following curves from (0, 0, 0) to (1, 1, 1) 0 1 , evaluate . d where S is the rectangular box formed by the six planes = 0, =
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 10 1. Verify the conclusion of Greens Theorem (Curl integral) by evaluation of both sides of Greens Theorem for the field = + . Take the domains of integration in each case to be the disk R: + and its bounding circle
School: UCL
Course: Chem Eng
Nazarbayev University, School of Engineering, Eng Maths 2 Engineering Mathematics 2 Assignment 4 Learning Outcomes: This assignment will give you practice in Div, Grad and Curl Taylor Series for more than one variable 1. (a) Find the gradient of the scala
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 9 1. State the Divergence Theorem. Evaluate both sides of the Divergence Theorem for the vector field = over a volume V which is the interior of the unit cube, i.e. the cube whose vertices are (0,0,0, (1,0,0), (0,1,0),
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 12 1. A 2  periodic function ( ) can be represented in Fourierseries form ( )= ( + cos + sin ) Show that the coefficients are given by Eulers formulae = = = 1 1 1 2 ( )d ( ) cos d ( ) sin d n =1, 2,3, 2. Consider
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 11 1. Evaluate .d where, is the circle + = 4, = 3 orientated counterclockwise as seen by a person standing at the origin, and with respect to righthanded Cartesian coordinates. Here, = + Use Stokes Theorem to evaluate
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 8 1. Calculate .d where =4 (a) C: = (b) C: = 2. If = 3 +2 + + 0 1 + + + over each of the following curves from (0, 0, 0) to (1, 1, 1) 0 1 , evaluate . d where S is the rectangular box formed by the six planes = 0, =
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 10 1. Verify the conclusion of Greens Theorem (Curl integral) by evaluation of both sides of Greens Theorem for the field = + . Take the domains of integration in each case to be the disk R: + and its bounding circle
School: UCL
Course: Chem Eng
Nazarbayev University, School of Engineering, Eng Maths 2 Engineering Mathematics 2 Assignment 4 Learning Outcomes: This assignment will give you practice in Div, Grad and Curl Taylor Series for more than one variable 1. (a) Find the gradient of the scala
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 9 1. State the Divergence Theorem. Evaluate both sides of the Divergence Theorem for the vector field = over a volume V which is the interior of the unit cube, i.e. the cube whose vertices are (0,0,0, (1,0,0), (0,1,0),
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 12 1. A 2  periodic function ( ) can be represented in Fourierseries form ( )= ( + cos + sin ) Show that the coefficients are given by Eulers formulae = = = 1 1 1 2 ( )d ( ) cos d ( ) sin d n =1, 2,3, 2. Consider
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 11 1. Evaluate .d where, is the circle + = 4, = 3 orientated counterclockwise as seen by a person standing at the origin, and with respect to righthanded Cartesian coordinates. Here, = + Use Stokes Theorem to evaluate
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 8 1. Calculate .d where =4 (a) C: = (b) C: = 2. If = 3 +2 + + 0 1 + + + over each of the following curves from (0, 0, 0) to (1, 1, 1) 0 1 , evaluate . d where S is the rectangular box formed by the six planes = 0, =
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 10 1. Verify the conclusion of Greens Theorem (Curl integral) by evaluation of both sides of Greens Theorem for the field = + . Take the domains of integration in each case to be the disk R: + and its bounding circle
School: UCL
Course: Chem Eng
Nazarbayev University, School of Engineering, Eng Maths 2 Engineering Mathematics 2 Assignment 4 Learning Outcomes: This assignment will give you practice in Div, Grad and Curl Taylor Series for more than one variable 1. (a) Find the gradient of the scala
School: UCL
Course: Chem Eng
Nazarbayev University, School of Engineering, Eng Maths 2 Engineering Mathematics 2 Assignment 2 Learning Outcomes: This assignment will give you practice in investigating the equations of crosssections for a function of 3 variables parameterizing a spac
School: UCL
Course: Chem Eng
Nazarbayev University, School of Engineering, Eng Maths 2 Engineering Mathematics 2 Assignment 1 Learning Outcomes: This assignment will give you practice in double and triple integrals curves and surfaces vectors including scalar and vector products grad
School: UCL
Course: Chem Eng
CENG1001 Transport Processes I Deadlines: Qu 1 & 2 : Qu 3 & 4: Friday 18th December 2009 Friday 15th January 2010 Coursework 1. 2009, Q6 Heat is conducted through a large flat wall of uniform thickness, which is made of material whose thermal conductivity
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 9 1. State the Divergence Theorem. Evaluate both sides of the Divergence Theorem for the vector field = over a volume V which is the interior of the unit cube, i.e. the cube whose vertices are (0,0,0, (1,0,0), (0,1,0),
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 12 1. A 2  periodic function ( ) can be represented in Fourierseries form ( )= ( + cos + sin ) Show that the coefficients are given by Eulers formulae = = = 1 1 1 2 ( )d ( ) cos d ( ) sin d n =1, 2,3, 2. Consider
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 11 1. Evaluate .d where, is the circle + = 4, = 3 orientated counterclockwise as seen by a person standing at the origin, and with respect to righthanded Cartesian coordinates. Here, = + Use Stokes Theorem to evaluate
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 8 1. Calculate .d where =4 (a) C: = (b) C: = 2. If = 3 +2 + + 0 1 + + + over each of the following curves from (0, 0, 0) to (1, 1, 1) 0 1 , evaluate . d where S is the rectangular box formed by the six planes = 0, =
School: UCL
Course: Chem Eng
Engineering Mathematics 2 Assignment 10 1. Verify the conclusion of Greens Theorem (Curl integral) by evaluation of both sides of Greens Theorem for the field = + . Take the domains of integration in each case to be the disk R: + and its bounding circle
School: UCL
Course: Chem Eng
Nazarbayev University, School of Engineering, Eng Maths 2 Engineering Mathematics 2 Assignment 4 Learning Outcomes: This assignment will give you practice in Div, Grad and Curl Taylor Series for more than one variable 1. (a) Find the gradient of the scala
School: UCL
Course: Chem Eng
Nazarbayev University, School of Engineering, Eng Maths 2 Engineering Mathematics 2 Assignment 2 Learning Outcomes: This assignment will give you practice in investigating the equations of crosssections for a function of 3 variables parameterizing a spac
School: UCL
Course: Chem Eng
Nazarbayev University, School of Engineering, Eng Maths 2 Engineering Mathematics 2 Assignment 1 Learning Outcomes: This assignment will give you practice in double and triple integrals curves and surfaces vectors including scalar and vector products grad