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MAU11E02 Engineering mathematics II

Module Code MAU11E02
Module Title Engineering mathematics II
Semester taught Semester 2
ECTS Credits 5
Module Lecturer Prof. Morgan Robson
Module Prerequisites MAU11E01 Engineering mathematics I

Assessment Details

  • This module is examined in a 2-hour examination at the end of Semester 2.
  • Continuous assessment contributes 20% towards the overall mark.
  • Re-assessment, if needed, consists of 100% exam.

Contact Hours

11 weeks of teaching with 3 lectures and 1 tutorial per week.

Learning Outcomes

On successful completion of this module, students will be able to

  • Use standard techniques to integrate trigonometric and rational functions.
  • Use integrals to compute volumes, areas and lengths.
  • Evaluate improper integrals.
  • Formulate and solve first-order differential equations.
  • Determine whether a given sequence converges or not.
  • Test a given series for convergence.
  • Use polynomials to approximate a given function.
  • Use vectors to solve geometrical problems in R3.
  • Solve systems of linear equations and find the inverse of a matrix.

Module Content

  • Techniques of integration.
  • Sequences and series including simple convergence tests, Taylor and Maclaurin series.
  • Vectors, lines and planes in R3, scalar and cross products.
  • Matrix algebra, Gaussian elimination, inverse matrix, determinants.

Recommended Reading

  • Single variable calculus: Early transcendentals by James Stewart.
  • Linear algebra and its applications by David Lay.