This module provides a rigorous introduction to the mathematical and statistical tools used in modern economics. Students develop the core techniques required for economic modelling, including calculus, optimisation, probability theory, and statistical inference. The module also introduces data analysis methods used in applied economics and econometrics. By the end of the module, students will be able to work confidently with analytical models, interpret quantitative evidence, and apply these tools in later microeconomics, macroeconomics, and econometrics modules.