Mathematics for Agriculture I

MATH10230 is an introductory mathematics module designed to complement the Agricultural Science programme. It develops the mathematical language, techniques, and modelling skills needed in later programme modules, with an emphasis on understanding, clear communication, and applications. The module begins with mathematical conventions and writing, numbers and arithmetic, fractions, percentages, units, averages, sets, functions, variables, algebraic expressions, equations, and graphs. It then develops trigonometric, inverse, exponential, and logarithmic functions and uses them to model problems such as measurement, growth, decay, and compound interest. The calculus part of the module covers limits and continuity; average and instantaneous rates of change; the definition and calculation of derivatives; linear approximation; optimisation; position, velocity, and acceleration; definite and indefinite integrals; area; and accumulated change. Examples are drawn where possible from agricultural, biological, and environmental contexts. Students learn to move between verbal, numerical, algebraic, and graphical descriptions and to interpret mathematical answers in their original context.