This course is designed to introduce students to basic concepts in mathematical modelling. It also equips the students with mathematical modelling skills with emphasis on using mathematical models to solve real- life problems. Topics to be covered in this course includes: methodology of model building, problem identification and definition, model formulation and solution, consideration of varieties of models involving equations like algebraic, ordinary differential equation, partial differential equation, difference equation, integral and functional equations, Single species models (exponential, logistic and, the Gompertz growth  models), interacting species models: (predator-prey models, competing species models, cooperating species models, multi-species models), the SI, SIR, SIS, SIRS and SEIR epidemic models, the basic reproduction number  R0: derivation, interpretation and application to stability analysis of disease-free and endemic equilibria, and case studies: Malaria, HIV-AIDS, TB.