Core Mathematics I module (MA11001)

Mathematics is a universal language for understanding patterns, structures, and change. It can describe the motion of planets, reveal hidden order in numbers, and explore ideas whose power comes from their elegance, logic, and precision. 

In this module, you will enter university-level mathematics, strengthening and extending what you learned at school. You will work with functions, algebra, trigonometry, complex numbers, sequences, and series, while developing the confidence to think more deeply and precisely. 

You will also be introduced to differential calculus, one of the great breakthroughs in mathematics. Calculus gives you a precise way to understand change and the behaviour of functions, making it essential for both pure mathematics and the mathematical description of the physical world. 

As you progress, you will see how equations, graphs, limits, and approximations connect to reveal deeper mathematical structure. You will learn to solve unfamiliar problems and build the analytical confidence that supports later study in pure mathematics, applied mathematics, physics, and data-driven careers. 

What you will learn

In this module you will:

• develop confidence with functions, graphs, and algebraic methods 
• explore limits, sequences, series, and mathematical approximation 
• study differential calculus and rates of change 
• work with exponential, logarithmic, and trigonometric functions 
• investigate complex numbers, polynomials, and curve sketching 
• apply mathematical techniques to solve structured and unfamiliar problems 

By the end of this module, you will be able to:

• manipulate algebraic expressions and solve equations 
• analyse functions using limits and differentiation 
• find tangents, normals, and maximum or minimum values 
• work with complex numbers, series, and standard functions 
• use mathematical reasoning to approach problems clearly and confidently

Assignments / assessment

• Coursework (40%) 
• Final, written exam (60%) 

Teaching methods / timetable

You will learn through a combination of lectures and tutorials designed to build confidence and problem-solving ability. 

Lectures introduce the key ideas, methods, and worked examples, supported by clear online lecture notes. 

In tutorials, you will apply these ideas by solving problems individually and in groups, with guidance and feedback from lecturers.