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Essential Mathematical Skills and Techniques Spring Semester 4, Exams of Mathematics

The document is an exam paper for MAS152: Essential Mathematical Skills and Techniques, offered during the Spring Semester at the University of Sheffield, School of Mathematics and Statistics. The exam is 3 hours long and is divided into two sections: Section A with 12 questions worth 3 marks each, and Section B with 8 questions worth 8 marks each. The paper covers a wide range of topics, including functions, inverse functions, logarithms, matrices, integration, partial differentiation, differential equations, and Laplace transforms. A formula sheet is provided, containing essential trigonometric identities, hyperbolic functions, series expansions, differentiation rules, and integration techniques. The exam requires students to justify their solutions fully and limits calculator use to basic arithmetic. The paper is comprehensive, testing both foundational and advanced mathematical skills.

Typology: Exams

2024/2025

Available from 03/14/2025

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3/14/25, 10:52 PM MAS 152 Essential Mathematical Skills and Techniques Spring Semester 2018-2019 MAS152 The University Of Shetfield. SCHOOL OF MATHEMATICS AND STATISTICS: Spring Semester 2018-2019 MAS152 Essential Mathematical Skills and 3 hours Techniques Atieinpi ALL the gu h question in Seoiinn A areies 4 marks, ons. tach question in Seciion B cnrvies 8 ma AL sobvitons should be justified di full Cateaators shantd be relied spon for simple steps fhe basin: arithmetic. und plugging numbers inte eleanentary faneKons Section A. bei AL Let f(y 5 lose State the domain of fp). ind Fg) and give ube domain. ap AZ Solve dgbth_ga2g 0 for x. AB Tvalnate by using THospilal’s Rule or oshervise Ad Find the real and imaginary patts of = Hi 148131 MASI52 1 ‘ThQver about:blank