Employment Law Essay Example | Topics and Well Written Essays - 3000 words

Employment Law - Essay Example As an employee, Tom would then be in a position where there is a general premise that he would be eligible to file a case for unfair dismissal, but when working as a self employed person, the employer’s liability would be limited. The basis for this lies in the rule laid down in the case of Jennings v Westwood Engineering, in which an employer is required to deduct taxes at the source from his employees; should be fail to do so, he could be committing a criminal offence. Since the employer deducts tax and insurance which are a percentage of his earnings, and to which the employer also makes a contribution, this means that the employer has certain obligations in respect to employees, so that the employees will have some rights in respect to sickness, unemployment or injuries arising during the period of employment. An employer however, has no such obligations towards a self employed person; as a result, any claim for unfair dismissal would not be sustainable if the worker is a self employed person. ... ack of clarity in these definitions, a number of factors were later identified in the case of ready Mixed Concrete (South East) Ltd v MPNI (1968), in which McKenna set out the following considerations in determining whether an individual was an employee or self employed: (a) Is the employee providing his skill in consideration of a wage (b) Is there an element of control exercised by the employer? (c) Are there provisions in the contract inconsistent with it being a contract of employment? Applying this in Tom’s case, it must be noted that at the outset, Tom has a guaranteed income, because he is entitled to 20 sessions with the company’s members, as stated under the first condition spelt out above in the case of McKenna. Secondly, it must also be noted that Tom does not supply his own equipment and tools; nor does he make arrangements to provide his own support staff to carry out an assignment as a contractor would do. In the case of Lee v Chung and Sun Chung Construct ion and Engineering Co Ltd, in determining whether an individual was an employee, the Court stated that when the worker used the tools and equipment provided by the company, he would fall under the category of an employee rather than self employed. Other factors examined in this same case were (a) how much financial risk the employee took and (b) how much investment responsibility he had and (c) how much s/he was able to profit from his own investment of time and effort. On this basis, it may be noted that Tom’s financial risk was not substantial because he had a guaranteed income from the Company’s members and could use the Company’s staff and equipment, which reduced his own investment liability. . In the case of Ready Mixed Concrete, McKenna also laid out the condition that a contract of

Advanced Mathematics For Engineers Essay Example | Topics and Well Written Essays - 3250 words

Advanced Mathematics For Engineers - Essay Example Maclaurin series is known as a special case of Taylor series expansion at x = 0. Through Maclaurin series, a combination of functions, say those which are exponential and trigonometric in nature, may be brought altogether to acquire algebraic representations. Leibnitz’ theorem – Leibnitz’s theorem is normally applied whenever numerical methods merely work for determining solutions of first order differential equations (DEs). In particular, by Leibnitz’s theorem, second order DEs may be solved through a process of successive differentiations wherein the nth differential coefficient of standard function can be obtained by performing a series of tasks with the product rule to arrive at the intended solution for Yn. Bessel’s and Legendre equations. Out of the studies made for the disturbances in planetary motion by Friedrich Wilhelm Bessel emerged what came to be acknowledged in the early 19th century as the first systematic analysis of solutions to the equation given by: Such an equation is called a Bessel’s equation which varies in order depending on the real constant ‘v’. ... Moreover, this method had been of ample significance in the quantum mechanical model of the H-atom and is typically employed in areas of physics or engineering that tackle steady-state temperature within solid spherical objects involving the use of Laplace’s equation. Euler, and Runge – Kutta numerical differential equation methods. Both of the principles of applying Euler method and Runge – Kutta method are vital in solving DEs of the first order. With Euler method, on one hand, restrictions are set given initial values x0 and y0, and the range of ‘x’ within which the desired solution for ‘y’ is achieved upon a number of successive iterations that follow a simple form: f (a + h) = f (a) + h [ f ‘(a) ] Iterative use of this equation proceeds until one arrives at the intended value for ‘y’ that is accurate to the extent of decimal places specified. Similarly, the Runge-Kutta method is used for the same purpose of approx imating the ‘y’ to converge to a certain value, only this time, a couple of evaluation steps are required towards a higher degree of accuracy for the results. It is necessary herein to evaluate k-values (k1, k2, k3, and k4) which must be substituted into The numbers identifying each ‘k’, as well as the YP1 and the YC1 are tabulated for a specific range of Xn. (2) Consider for the range x = 1 to x = 1.5 in increments of .1, given the initial conditions that when x = 1, y = 2 Apply Euler Method to solve and graph the above problem Apply Euler –Cauchy Method to solve and graph the above problem Apply Runge - Kutta Method to solve and graph the above problem By Euler Method f(a + h) = f(a) + f(h) ---? y = y0 + h(y0’),