Essential Mathematical Skills and Techniques Spring Semester-Exams 2, 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. The exam is divided into two sections: Section A, which consists of 12 questions worth 3 marks each, and Section B, which includes 8 more in-depth questions worth 8 marks each. The questions cover a wide range of mathematical topics, including calculus, complex numbers, differential equations, linear algebra, and integration techniques. The exam also provides a formula sheet with essential trigonometric identities, series expansions, differentiation rules, and integration methods. Students are expected to justify their solutions fully and are allowed to use calculators for basic arithmetic. The paper is designed to test both foundational and advanced mathematical skills, with a mix of theoretical and applied problems.