Module Descriptors
INTRODUCTION TO ENGINEERING MATHEMATICS (BL)
MATH41011
Key Facts
School of Digital, Technologies and Arts
Level 4
15 credits
Contact
Leader: Patricia Lewis
Email: P.A.Lewis@staffs.ac.uk
Hours of Study
Scheduled Learning and Teaching Activities: 24
Independent Study Hours: 126
Total Learning Hours: 150
Assessment
- Suite of 4 equally weighted phase tests (semester 1) weighted at 70%
- Two 1.5 hour equally weighted tests (semester 2) weighted at 30%
Module Details
Module Learning Outcomes
1. Be able to define, describe and reproduce a range of mathematical techniques, including numerical evaluation, algebra, trigonometry, complex numbers, basic probability and calculus. (AHEP 3: SM2p, SM2m)
Analysis,
Knowledge & Understanding,
Learning
2. Apply a range of basic mathematical process and techniques to solve typical problems in engineering. (AHEP 3: SM2p, SM2m)
Analysis,
Application
Problem Solving
3. Demonstrate an ability to apply calculus method to a range of engineering problems in one dimension (eg kinematics, max/min, mean value, numerical integration) and two dimensions (eg stationary points, total derivative). (AHEP 3: SM2p, SM2m)
Application
Knowledge & Understanding
Problem Solving
Analysis,
Knowledge & Understanding,
Learning
2. Apply a range of basic mathematical process and techniques to solve typical problems in engineering. (AHEP 3: SM2p, SM2m)
Analysis,
Application
Problem Solving
3. Demonstrate an ability to apply calculus method to a range of engineering problems in one dimension (eg kinematics, max/min, mean value, numerical integration) and two dimensions (eg stationary points, total derivative). (AHEP 3: SM2p, SM2m)
Application
Knowledge & Understanding
Problem Solving
Module Additional Assessment Details
Test comprising a suite of phase tests in Semester 1 (30%) and two class tests in Semester 2 (1.5 hrs each, 70%) assessing Learning Outcomes 1-3.
Practice formative class tests will be undertaken during the module and formative guidance and feedback will be provided in tutorial sessions within the class.
Module Indicative Content
In this module you will be encounter the following range of mathematical methods and techniques that will enable you to think analytically and solve simple engineering problems:
• Basic mathematics (transposition of formulae, algebraic fractions, logarithms).
• Trigonometry (addition theorems, combining waveforms).
• Complex Numbers.
• Introduction to matrices and solving linear equations (including complex coefficients).
• Basic probability (rules of probability, conditional probability, discrete distributions).
• Basic calculus (Theory of differentiation, derivatives of simple functions).
• Advanced calculus (The theory of integrals, integrals as areas, numerical methods, partial differentiation, stationary points.)
• Basic mathematics (transposition of formulae, algebraic fractions, logarithms).
• Trigonometry (addition theorems, combining waveforms).
• Complex Numbers.
• Introduction to matrices and solving linear equations (including complex coefficients).
• Basic probability (rules of probability, conditional probability, discrete distributions).
• Basic calculus (Theory of differentiation, derivatives of simple functions).
• Advanced calculus (The theory of integrals, integrals as areas, numerical methods, partial differentiation, stationary points.)
Module Learning Strategies
This module will enable students to gain understanding, apply knowledge, analyse and evaluate problems and create solutions through a variety of activities, including lectures, distance learning, example classes and small group tutorials.
Module Texts
James, G. (2010) Modern Engineering Mathematics, 4th Edn., Pearson Education
Singh, K. (2011) Engineering Mathematics Through Applications, Palgrave, Macmillan
Singh, K. (2011) Engineering Mathematics Through Applications, Palgrave, Macmillan