This module provides students with foundational knowledge in organic chemistry, emphasising the relationships between molecular structure, shape, and reactivity of functional groups. Students will explore basic reaction mechanisms, which are crucial for understanding chemical behaviour and transformations. Practical lab sessions are integrated into the module to reinforce theoretical concepts, allowing students to apply their knowledge and develop essential laboratory skills in organic chemistry

This module introduces key concepts in physical and inorganic chemistry. This includes:

• The main theories of bonding and concepts including atomic and molecular orbitals, quantum numbers, linear combination of atomic orbitals and an introduction to atomic and molecular spectroscopy.
• Lewis diagrams, the 8 electron rule, VSEPR, MO theory, bond hybridisation, and the structure and packing of simple solids
• The Bronsted-Lowry and Lewis theories of acidity.
• An introduction to the laws of thermodynamics and how they drive reactivity, the concept of chemical equilibrium, and equilibrium electrochemistry.
• Transition metal chemistry, complex shapes and isomerism, d-orbitals and bonding, crystal field theory and Jahn-Teller distortions, and an introduction to magnetism and other bonding models (hybridisation in the d-block, the 16/18 electron rule).
• An introduction to chemical kinetics, differential rate equations, integrated rate laws, complex reactions, pseudo- and non-standard orders of reaction, mechanisms and the Arrhenius equation.

This module provides students with foundational knowledge in organic chemistry, emphasising the relationships between molecular structure, shape, and reactivity of functional groups. Students will explore basic reaction mechanisms, which are crucial for understanding chemical behavior and transformations. Practical lab sessions are integrated into the module to reinforce theoretical concepts, allowing students to apply their knowledge and develop essential laboratory skills in organic chemistry.

Differential equations play a pivotal role in modelling numerous mathematical, scientific and engineering problems, stretching across celestial motion dynamics, neuron interactions, cancer progression, bridge stability and financial market trends. This module serves as an introduction to the essential theory and numerical methods used in solving ordinary and partial differential equations (ODEs and PDEs) while exploring their varied applications.

In this module, we will review the essential calculus techniques, including methods of differentiation and integration, necessary to solve ODEs. We will introduce ODEs, see their applications to real-world problems and explore techniques for generating both exact and approximate solutions for ODEs. We will also give a brief introduction to PDEs and their applications.

Topics may include:

• Review of trigonometric functions, hyperbolic functions, limits and differentiation.
• Integration, techniques such as integration by parts, partial fractions, and multiple integration.
• Review of sequences and series, covering convergence and divergence.
• Exploration of complex numbers, covering axiomatic foundations, complex conjugates, loci, polar form, De Moivre's Theorem, and roots.
• Notation and classification of ordinary differential equations.
• Linear ODEs and their applications.
• Selective exploration of non-linear ODEs and their applications.
• Introduction to systems of ODEs.
• Numerical integration: Trapezoidal Rule and Simpson’s Rule.
• Numerical solutions for ODEs: Euler method, using computer code in, for example, MATLAB, or Python.
• Partial differentiation, functions of two variables.
• Brief introduction to PDEs and their applications.