SOLUTION: MASC 20001 2 MEC Advanced Mathematics Landscape Transformation Questions

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Advanced Mathematics (MASC 20001.2) – Spring - 2020– CW2 (Assignment) – All – QP ` IN SEMESTER INDIVIDUAL ASSIGNMENT Module Code: MASC 20001.2 Module Name: Advanced Mathematics Level: 2 Max. Marks: 100 Instructions to Student:  Answer all questions.  Deadline of resignation: 9/07/2020  The marks accepted on the assignment conciliate be scaled down to the real weightage of (23:59) the assignment which is 50 marks  Formative feedback on the consummate assignment draw conciliate be granted if the draw is submitted at ultimate 10 days anteriorly the ultimate resignation conclusion.  Feedback succeeding ultimate evaluation conciliate be granted by 23/07/2020  In Qno.3,4b,6 and 7 ensue the voicelessness given under the question Module Lore Outcomes: The ensueing LOs are achieved by the ward by completing the assignment successfully 1) Experience and adduce Laplace Transforms and their inverse to explain contrariantial and integral equations 2) Experience the Fourier sine and Fourier cosine changes of dutys and its inverse. 3) Determine discrete Fourier Change and inverse discrete Fourier change of a duty Assignment Objective: To cupel the Conversance and brains of the ward for the over mentioned LO MEC_AMO_TEM_034_01 Page 1 of 7 Advanced Mathematics (MASC 20001.2) – Spring - 2020– CW2 (Assignment) – All – QP Assignment Tasks: 1. Experience the Laplace change of the ensueing duty: 𝑓(𝑡) = 1−𝑒 −𝑡 𝑡 + 𝑡 2 cos⁡(2t) − 3𝑠𝑖𝑛3 (𝑡) 2. Experience the inverse Laplace change of the ensueing duty: (15 marks) (15 marks) 𝑠 2 −9𝑠−7 𝐺(𝑠) = ⁡ (𝑠−1)(𝑠2 +2𝑠+2) 3. Explain the Initial prize problem by using Laplace changes: 𝑦 ′′ + 3𝑦 ′ + 2𝑦 = 6𝑒 −𝑡 ⁡, 𝑦(0) = 𝑎, ⁡𝑦 ′ (0) = 𝑏 (15 marks) (Note: Replace 𝑎, 𝑏 be any two contrariant digits of your MEC ID compute and 𝑎⁡, 𝑏 > 0) 4. a. Let 𝑓(𝑡) = 𝑡 2 − 𝑒 −𝑡 and 𝑔(𝑡) = 𝑡 experience (𝑓 ∗ 𝑔)(𝑡) (8 marks) b. Experience the Laplace change of {𝑢(𝑡 − 𝑑). sin 4(𝑡 − 𝑑)}, where 𝑢 is the Heaviside’s unit duty. (5 marks) (Note: Replace 𝑑 delay the ultimate digit of your MEC ID compute, if your ID compute ends delay 0 obtain?} other compute. For development if your Id compute is 18F13452, obtain?} d as 2 if ultimate digit is 0 d can be any other compute.) 4𝑥, 05 6. Experience the Fourier change of 𝑓(𝑡) = { 5𝑡 2 , 0, ⁡⁡𝑖𝑓⁡|𝑡| Outstanding Excellent Very Good-natured Quality Good (Acceptable) Adequate/ Satisfactory Weak /Poor (all lore outcomes not adequately met) Reflection and critical analysis. Highly adapted analytical skills and insensitive action, demonstrating personal lore and enlargement, insight into required professional values and principles and professional development planning. Strong analytical skills and insensitive action used, demonstrating personal lore and enlargement, insight into required professional values, principles and competencies and professional development planning. Good use of analytical skills and insensitive action demonstrating personal lore and enlargement, insight into required professional values, principles and competencies and professional development planning. Acceptable use of analytical skills and insensitive action demonstrating personal lore and enlargement, insight into required professional values, principles and competencies and professional development planning. Adequate use of analytical skills and insensitive action demonstrating personal lore and enlargement, insight into required professional values, principles and competencies and professional development planning. Little use of analytical skills and insensitive action demonstrating personal lore and enlargement, insight into required competencies and/or professional development planning. Professional prizes and principles not reflected in the resignation. and/or Insufficient/no use of analytical skills and reflective practice demonstrating personal lore and enlargement, insight into required competencies and professional development planning MEC_AMO_TEM_034_01 Knowledge and Understanding/ Application of Theory Extensive conversance and depth of brains of principles and concepts and /or unappropriated contact of doctrine in action. Evidence of Reading Referencing and Bibliography Presentation, Title and Spelling Evidence of lection an extensive collocate of educational literature/research and where ry workplace strategies, policies and procedures. Accurate referencing and bibliography justly using appropriate referencing style Excellent gift, logically structured, using improve title and spelling, distinguished crossreferencing and coheres to sustaining token Excellent conversance and brains of principles and concepts and /or distinguished conversance and understanding of the contact of doctrine in practice Evidence of lection a wide range of educational literature/research and where applicable, workplace strategies, policies and procedures. Appropriate referencing and bibliography justly using appropriate referencing title Good presentation, competently structured, using improve title and spelling, open and not-difficult to use coheres to sustaining evidence Good conversance or key principles and concepts and/or good-natured-natured conversance of the contact of doctrine in practice Evidence of lection a good-natured range of educational literature/research and where ry workplace strategies, policies and procedures. Generally courteous referenced delay improve use of the appropriate referencing style Reasonable gift, completely structured, acceptable title and spelling, acceptable coheres to sustaining token Acceptable conversance of key principles and concepts and/or conversance of the contact of doctrine in practice Evidence of lection an appropriate collocate of educational literature/research and where ry, applicable workplace policies and procedures Adequate referencing. Generally respectful use of appropriate referencing style Adequate gift and structure, acceptable title and spelling, adequate links to sustaining token Adequate conversance of key principles and concepts and/or satisfactory token of the contact of doctrine in action. Evidence of minimal lection of educational literature/research and where ry applicable workplace policies and procedures Adequate referencing. Appropriate referencing title used but may contain some inaccuracies. Weak presentation , satisfactory structure, title and spelling, coheres to sustaining token Little token of conversance of key principles or concepts and/or little token of the contact of doctrine in action Little or no token of lection beyond of the course textbook and/or reference to applicable work place policies and procedures Little or no referencing, inimprove title, or very inrespectful use of appropriate referencing style Poor gift, title and spelling, coheres to sustaining token and/or and/or No token of conversance of key principles or concepts and/or no token of contact of doctrine in action No token of lection beyond of the course textbook and/or reference to applicable workplace policies and procedures and/or Unacceptable gift, title and spelling, structure is very scanty, coheres to sustaining token Page 7 of 7 ...
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