- Expansion of Functions: Maclaurin and Taylor series.
- Optimization: Optimum values and extremum values, relative extrema, 1st & 2nd derivative test, n-th derivative test. Optimization of multivariable functions; the differential version, quadratic forms, optimization with equality constraints-the Lagrange multiplier. (Examples from health sector)
- Elementary Linear Algebra: Matrices and vector, matrix operations, identity matrix, null matrix, transposes, determinants, non-singularity, minors, co-factors, adjoint matrix, inverse matrix, Cramer’s rule, Jacobian, Hessian. (Examples from health sector)
- Economic Dynamics and Integral Calculus: Dynamics and integration, rules of integration, indefinite and definite integral, integration by substitution and by parts; area under a curve, improper integral, some economic applications of integral, Domar growth model. (Examples from health sector)
- Continuous Time: First Order Differential Equation: First order linear differential equations dynamics of market price, exact differential equation, Solow growth model.
- Discrete Time: First Order Difference Equations: Discrete time, difference, difference equations, solving a first order difference equation, the dynamic stability of equilibrium, the Cobweb model.

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