Teaching Responsibility
LJMU Schools involved in Delivery:
Engineering
Learning Methods
Lecture
Workshop
Module Offerings
3103FNDET-JAN-CTY
Aims
This module aims to build upon the material covered in Mathematics 1 by exploring more advanced topics in Mathematics. This includes an introduction to elementary techniques in Calculus. After completing this module, students should be prepared with the prerequisite mathematical ability required to embark upon a BEng or BSc degree programme in an engineering or technology subject.
Learning Outcomes
1.
Apply basic trigonometric formula to solve problems applicable to engineering and technology
2.
Use differentiation to solve problems relevant to engineering and technology
3.
Apply techniques of integration in problems relevant to engineering and technology
4.
Use techniques of numerical integration in solving problems applicable to engineering and technology.
5.
Define and use sequences and series in relation to basic engineering problems
Module Content
Outline Syllabus:
The list below provides an indicative list of topics which will be covered in this module: Trigonometry: • Measurement of angles, degrees, radians • Right angle triangles, Pythagoras, sine, cosine, tangent • Non right angled triangles, sine rule, cosine rule • Graphs of trigonometric functions • Inverse trigonometric functions • Simple trigonometric equations • Trigonometric identities • Properties of trigonometric functions, period, frequency, amplitude, phase angle. Differentiation: • Slopes, rates of change. • Differentiation of simple explicit functions: powers, trigonometric functions, exponential functions, logarithmic functions. • Turning points of curves. • Applications of maxima and minima. Integration: • Integration defined as anti-differentiation. Indefinite integrals. • Integration of elementary functions: powers, trigonometric functions, exponential functions, logarithmic functions. • Definite integration and applications e.g. area under a curve. • Numerical integration: Trapezium Rule, Simpson's rule , Number sequences: Arithmetic and geometric progressions, binomial series, Maclaurin’s series
The list below provides an indicative list of topics which will be covered in this module: Trigonometry: • Measurement of angles, degrees, radians • Right angle triangles, Pythagoras, sine, cosine, tangent • Non right angled triangles, sine rule, cosine rule • Graphs of trigonometric functions • Inverse trigonometric functions • Simple trigonometric equations • Trigonometric identities • Properties of trigonometric functions, period, frequency, amplitude, phase angle. Differentiation: • Slopes, rates of change. • Differentiation of simple explicit functions: powers, trigonometric functions, exponential functions, logarithmic functions. • Turning points of curves. • Applications of maxima and minima. Integration: • Integration defined as anti-differentiation. Indefinite integrals. • Integration of elementary functions: powers, trigonometric functions, exponential functions, logarithmic functions. • Definite integration and applications e.g. area under a curve. • Numerical integration: Trapezium Rule, Simpson's rule , Number sequences: Arithmetic and geometric progressions, binomial series, Maclaurin’s series
Module Overview:
This module aims to build upon the material covered in Mathematics 1 by exploring more advanced topics in Mathematics. This includes an introduction to elementary techniques in Calculus.
This module aims to build upon the material covered in Mathematics 1 by exploring more advanced topics in Mathematics. This includes an introduction to elementary techniques in Calculus.
Additional Information:
This module covers the fundamental mathematical skills needed for further study in engineering and technology subjects, and will include extensive practice problem solving, assessed regularly to support a structured approach to learning.
This module covers the fundamental mathematical skills needed for further study in engineering and technology subjects, and will include extensive practice problem solving, assessed regularly to support a structured approach to learning.
Assessments
Portfolio
Centralised Exam