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Pure Mathematics (FNDM PM2.1) – Spring – 21 – Supplementary (Assignment) –ALL – QP ` Supplementary (INDIVIDUAL) ASSIGNMENT Module Code: FNDM PM2.1 Level: 2 Module Name: Pure Mathematics Max. Marks: 100 Instructions to Student      Answer all questions. Deadline of submission: 30 / August /2021 23:59 The marks received on the assignment will be scaled down to the actual weightage of the assignment which is 50 marks Formative feedback on the complete assignment draft will be provided if the draft is submitted at least 10 days before the final submission date. Feedback after final evaluation will be provided within two weeks as per MEC polices. Module Learning Outcomes The following LOs are achieved by the student by completing the assignment successfully 1. Solve quadratic equation and graph Quadratic Function 2. Sketch exponential and logarithmic functions and solve exponential and logarithmic equations 3. Apply trigonometric functions and formulae 4. Calculate probability and basic statistical measurents Assignment Objective This assignment is to be undertaken as individual work. You will test your understanding on learning outcomes of the topics on Solving quadratic equation and graph Quadratic Function, solving exponential and logarithm equations, on unit circle & trigonometric functions and on statistics and probability measurements. Students should be able to collect data and analyze them. MEC_AMO_TEM_035_02 Page 1 of 10 Pure Mathematics (FNDM PM2.1) – Spring – 21 – Supplementary (Assignment) –ALL – QP Assignment Tasks Note: z is the last digit of your college ID. Show all steps 1. Get the Fuel prices in Oman (Gasoline 95 (Super)) for 12 continuous months. You can choose any year, then find the following: a. Screenshot of the data ( 5 marks) b. Measurements of central tendency. ( 10 marks) c. Measurements of Dispersion ( 12 marks) d. Comment on data. A student must write about his/ her observation on price of oil over period of time. ( 3 marks) 2. Among all rectangles that have perimeter of (54+z) ft, find the dimensions of the one with largest area? (10 marks) 1+3𝑥 3. Find the inverse function of 𝑓(𝑥) = 𝑧−2𝑥 (10 marks) 4. 𝑚 a. Solve the following: 3 log ( 𝑛 ) − (3 + 𝑧) = log⁡(10𝑚3 𝑛) (10 marks) b. Get the number of coivd-19 cases for 5 months in 2020. You can choose any 5 months, then draw the exponential graph. (10 marks) c. Simplify the following expression into a single logarithm: (5 + 𝑧)𝑙𝑜𝑔𝑥 − (2 + 𝑧) log(3𝑥) − log⁡(12𝑥 4 ) (5 marks) 5. a. 1 Let 𝑠𝑖𝑛𝑥 = − 2+𝑧 ⁡⁡𝑎𝑛𝑑⁡⁡𝑥⁡𝑖𝑛⁡𝑎𝑛⁡𝑎𝑛𝑔𝑙𝑒⁡𝑖𝑛⁡⁡quadrant⁡⁡𝐼𝐼𝐼⁡.⁡ 𝐹𝑖𝑛𝑑 sin(2𝑥) , cos(2𝑥) 𝑎𝑛𝑑 tan(2𝑥). (12 marks) b. Suppose a triangle ABC side 𝑎 = 5 + 𝑧⁡⁡, A=49 and C=61 . Solve the triangle⁡? (8marks) MEC_AMO_TEM_035_02 Page 2 of 10 Pure Mathematics (FNDM PM2.1) – Spring – 21 – Supplementary (Assignment) –ALL – QP c. The point A is on the unit circle. Find A(𝑥, 𝑦) from the given information.The 𝑦 −coordinate of A is −1 5 ⁡, 𝑎𝑛𝑑⁡𝑥 − coordinate⁡is⁡right⁡of⁡𝑦 − 𝑎𝑥𝑖𝑠? ( 5marks) Rules & Regulations:    Explain with suitable diagrams wherever required. Diagrams must be drawn using suitable software or by pencil. Each student has to do the assignment individually The assignment answers should be in your own words. Rules & Regulations:      All resources should be cited using CU Harvard style. The final assignment must have a Title page, Table of Contents, References/ bibliography using CU Harvard Style and page numbers. Title Page must have Assignment Name, Module name, Session, your name, ID, and the name of the faculty. Softcopy in word format is to be submitted through Turnitin link on Moodle. Viva will be conducted after the assignment submission as per the dates informed earlier. Guidelines:  Assignment must be computer typed.  Font – Times New Roman  Font – Style – Regular  Font – Size – 12  Heading should be with Font Size 14, Bold, Capital and Underline.  Explain with suitable diagrams wherever required. Diagrams must be drawn using suitable software or by pencil. Each student has to do the assignment individually / Students have to do the assignment collaboratively and each student should write a brief reflection on their contribution and learnings from group work. You can refer books in E-Library or use internet resource. But you should not cut and paste material from internet nor provide photocopied material from books. The assignment answers should be in your own words after understanding the matter from the above resources.   MEC_AMO_TEM_035_02 Page 3 of 10 Pure Mathematics (FNDM PM2.1) – Spring – 21 – Supplementary (Assignment) –ALL – QP Assessment Evaluation Criteria Classification And % Range Outstanding 91-100 Excellent 81–90 Very Good Quality 71-80 Good (Acceptable) 61-70 Adequate/ Satisfactory 51-60 Weak /Poor (all learning outcomes not adequately met) 0-50 MEC_AMO_TEM_035_02 Reflection and critical analysis. Highly competent analytical skills and reflective practice, demonstrating personal learning and growth, insight into required professional values and principles and professional development planning. Strong analytical skills and reflective practice used, demonstrating personal learning and growth, insight into required professional values, principles and competencies and professional development planning. Good use of analytical skills and reflective practice demonstrating personal learning and growth, insight into required professional values, principles and competencies and professional development planning. Acceptable use of analytical skills and reflective practice demonstrating personal learning and growth, insight into required professional values, principles and competencies and professional development planning. Adequate use of analytical skills and reflective practice demonstrating personal learning and growth, insight into required professional values, principles and competencies and professional development planning. Little use of analytical skills and reflective practice demonstrating personal learning and growth, insight into required competencies and/or professional development planning. Professional values and principles not reflected in the submission. and/or Insufficient/no use of analytical skills and reflective practice demonstrating personal learning and growth, insight into required competencies and professional development planning Knowledge and Understanding/ Application of Theory Extensive knowledge and depth of understanding of principles and concepts and /or outstanding application of theory in practice. Evidence of Reading Referencing and Bibliography Presentation, Grammar and Spelling Evidence of reading an extensive range of educational literature/research and where applicable workplace strategies, policies and procedures. Accurate referencing and bibliography correctly using appropriate referencing style Excellent presentation, logically structured, using correct grammar and spelling, excellent crossreferencing and links to supporting evidence Excellent knowledge and understanding of principles and concepts and /or excellent knowledge and understanding of the application of theory in practice Evidence of reading a wide range of educational literature/research and where applicable, workplace strategies, policies and procedures. Appropriate referencing and bibliography correctly using appropriate referencing style Good presentation, competently structured, using correct grammar and spelling, clear and easy to use links to supporting evidence Good knowledge or key principles and concepts and/or good knowledge of the application of theory in practice Evidence of reading a good range of educational literature/research and where applicable workplace strategies, policies and procedures. Generally well referenced with correct use of the appropriate referencing style Reasonable presentation, completely structured, acceptable grammar and spelling, acceptable links to supporting evidence Acceptable knowledge of key principles and concepts and/or knowledge of the application of theory in practice Evidence of reading an appropriate range of educational literature/research and where applicable, relevant workplace policies and procedures Adequate referencing. Generally accurate use of appropriate referencing style Adequate presentation and structure, acceptable grammar and spelling, adequate links to supporting evidence Adequate knowledge of key principles and concepts and/or satisfactory evidence of the application of theory in practice. Evidence of minimal reading of educational literature/research and where applicable relevant workplace policies and procedures Adequate referencing. Appropriate referencing style used but may contain some inaccuracies. Weak presentation , satisfactory structure, grammar and spelling, links to supporting evidence Little evidence of knowledge of key principles or concepts and/or little evidence of the application of theory in practice Little or no evidence of reading outside of the course textbook and/or reference to relevant work place policies and procedures Little or no referencing, incorrect style, or very inaccurate use of appropriate referencing style Poor presentation, grammar and spelling, links to supporting evidence and/or and/or No evidence of knowledge of key principles or concepts and/or no evidence of application of theory in practice No evidence of reading outside of the course textbook and/or reference to relevant workplace policies and procedures and/or Unacceptable presentation, grammar and spelling, structure is very poor, links to supporting evidence Page 4 of 10 Pure Mathematics (FNDM PM2.1) – Spring – 21 – Supplementary (Assignment) –ALL – QP Important Policies to be followed 1. Student Academic Integrity Policy*:  MEC upholds the spirit of academic integrity in all forms of academic work and any form of violation of academic integrity shall invite severe penalty. Any benefit obtained by indulging in the act of violation of academic integrity shall be cancelled.  MEC also reserves the right to notify the appropriate law enforcement authorities of any unlawful activity and to cooperate thereafter in any investigation of such activity.  Faculty can conduct a viva to investigate and ascertain that the work submitted is student’s own work as per the guidelines for the same. A student can be given a maximum of 2 chances to attend the viva in such cases. It is expected that the student attends the viva during the first chance itself unless due to extenuating circumstances. If the student does not attend the viva in spite of being given 2 chances and fails to submit valid reasons, he/she will be awarded a fail in the module and this shall be counted as a case of academic integrity violation. All cases of violation of academic integrity on the part of the student shall fall under any of the below mentioned categories: 1. Plagiarism 2. Malpractice 3. Ghost Writing 4. Collusion 5. Other cases If the student fails a module and has a proven case of academic integrity violation in this module, the student is required to re-register the module. This is applicable to first and second offence of academic integrity violation of plagiarism type a. First Offence of Academic Integrity Violation: i. Plagiarism a. If a student is caught first time in an act of academic integrity violation during his/her course of study in any assignment other than project work and if the type of violation is plagiarism, then the student will be allowed to re-submit the assignment once as per the period allowed for re submission However, a penalty MEC_AMO_TEM_035_02 Page 5 of 10 Pure Mathematics (FNDM PM2.1) – Spring – 21 – Supplementary (Assignment) –ALL – QP of deduction of 25% of the marks obtained for the resubmitted work will be imposed. b. Period of re-submission: The student will have to re-submit the work within one week (5 working days) from the date he or she is advised to re-submit. c. Re-submission of the work beyond the allowed period of resubmission will not be accepted and the assessment will be awarded a zero mark. d. If the re-submitted work (within the allowed period of resubmission) is also found to be plagiarized, then that assessment component will be awarded a zero mark. It shall also contribute to the total count of academic integrity violation for that student. e. If plagiarism is detected in UG Project work (Project 1, Project Planning and Project Design and Implementation), the above clauses do not apply, and the work will be summarily rejected. In these cases the student will be awarded a fail (F) grade and is required to reregister the module. ii. b.

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