BSc (Hons) Mathematics Foundation Year Bachelor's degree at the University of Kent

You will develop critical thinking and problem solving skills required to underpin your studies as well as beginning to gain knowledge to enable you to start using measurement instruments, understand forces, and fundamental electric circuits. Your ability to work with results including measurement errors as well as report writing skills will also be developed to support you throughout the degree and your professional life.

A solid grasp of algebra and geometry is a fundamental requirement for advanced study in any STEM subject. In this module, you will study foundational algebra and coordinate geometry required for Stage 1 entry into your chosen degree. Topics in algebra include law of indices, surds, and factoring. In geometry you will learn the essential rules of trigonometry, angles, and straight line geometry. You will learn how to reason with logarithms, exponentials and gain skills in solving equations.

A solid grasp of statistics and programming are both essential for modern mathematicians and scientists, in both academic study and the workplace. You'll learn the basics of probability, statistics, and hypothesis testing necessary for advanced study. You'll gain skills in using measures of central tendency and dispersion. You'll learn how to use quartiles and percentiles, and to interpret and create histograms, box plots, and other graphical representations of data. You'll gain an understanding

Learn about the interplay of the core concepts physicists and engineers use to describe the behaviour of objects in the world around us. Establish the relevant quantities, units and dimensions giving you the tools to understand mechanics and materials. Learn about characterising the motion of objects through distance, velocity and acceleration with time graphs. You will examine the behaviours of forces through Newtons' Laws and the relationship between those forces and work, power and energy. Yo

Calculus – the study of continuous change – is a pillar of advanced mathematics, with important applications in STEM and Financial subjects. In this module, you will develop your knowledge of mathematical functions to give you a solid foundation with which to grasp calculus and other advanced topics. You will study differential calculus and its applications – allowing you to quantify and model rates of change mathematically and consistently and find the gradient of any curve – followed by integr

The principles of matter, waves and vibrations are important underpinning topics in physics and engineering supporting applications as diverse as quantum materials, medical imaging, data communications and astronomical observations. You will learn to analyse physical waves, vibrations, alternating current and electromagnetic waves. You will also gain awareness of the principles of electrostatics and magnetism, as well as being introduced to atomic physics.

In the digital age, it is becoming ever easier, and more important, to collect data to predict and inform future decisions in science and society. You'll learn the core methods and principles of probability theory and statistics, and gain skills in applying these methods to analyse sample data and draw inferences or generalisations. You'll learn how to estimate an unknown parameter's value, how to construct a confidence interval, and how to do hypothesis testing. The statistical computing packag

R, Python, Excel, and collaborative platforms like GitHub are essential tools for academic study and professional advancement. This module equips you with comprehensive skills in working with these platforms through a range of hands-on problems and practical assignments. You'll delve into the intricacies of R, Python, and Excel, mastering their functionalities through real-world applications. From data analysis to visualisation and interpretation, you'll gain a holistic understanding of how thes

Linear algebra is a core subject in mathematics. It provides the algebraic foundation for advanced mathematics and has endless practical applications in industry and science, ranging from internet technologies to theoretical physics. In linear algebra, you will study finding solutions to systems of linear equations using matrices, and corresponding geometric objects such as vectors, lines, planes, and linear transformations of Euclidean space. You'll apply powerful techniques of matrix algebra t

Calculus serves as the mathematical foundation for many fields, including physics, engineering, economics, computer science, and statistics. This module delves deep into the fundamental concepts of differentiation and integration. You'll explore the properties of core functions including polynomials, exponentials and logarithms, trigonometric functions and their inverses, as well as hyperbolic functions. You'll become proficient in the fundamental techniques of differentiation and integration of

Understanding mathematical structures and proofs is crucial not only for mathematicians but also for scientists and engineers who use mathematical reasoning in their work. You'll learn about the logical structures underpinning proofs and common types of proofs. You'll acquire strategies for devising your own proofs and learn to identify key ideas and steps by analysing numerous classic proofs in different areas of mathematics. You'll enhance your skills in working and reasoning with abstract mat

Prepare for a detailed exploration of analysis and mathematical modelling, where the fascinating world of difference equations and the power of the fixed point method await you. Get to the core of mathematical theory.