Course Catalogue

LJMU Partner Taught

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.

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

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.