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

The document is an exam paper for the course 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 calculus (limits, derivatives, integrals), complex numbers, linear algebra (matrices, eigenvalues), differential equations, and series expansions. 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

charles-khama
charles-khama 🇮🇹

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3/14/25, 10:49 PM about:blank MAS152 Essential Mathematical Skills and Techniques Spring Semester 2015-2016 Data provided: Formule Sheet MASI52 saiy,) ‘The eis University Sy Ot Sheffield. SCHOOL OAMATHEMATIGS ND STATISTICS Spring Semester 2015-2016 MAS152 Essential Mathematical Skills and 3 hours Techniques Atieinpi ALL questions, Hach question in Section A carries 3 marks, tnachs questions ins Seciitan B emrvines 8 sna All solutions should be justified an full only for simple sleps ke basic arithmetic and plugging numbers inio Section A. AL Let £(0)= > Skeveh the curve y = f(x) A2 Lov g(yag—1 Find #'%) and state ies domain and 5 Aa fie y ashvlosecey Ad bvaluate fim ( 0 AS Find all the 7p Land Re(z}-Lngz) MASI52 1 ‘ThaQver 118