1 Mathematical Logic
The student will be able to
• identify statement in logic and its truth value
• use connectives to combine two or more logical
statements
• identify tautology, contradiction and
contingency by constructing a truth table
• examine logical equivalence of statement
patterns
• find the dual of a statement pattern
• form the negation of a statement pattern
2 Matrices
• identify the order of a matrix
• identify types of matrices
• perform fundamental matrix operations after
verifying conformity
• perform elementary transformation on rows and
columns of a matrix
• find the inverse of a matrix using elementary
transformations and adjoint method
• verify the conditions for a matrix to be Invertible
• use matrix algebra to solve a system of linear
equations
3 Differentiation
• state standard formulae of differenciation
• state and use the chain rule of differenciation
• find derivatives using logarithms
• find derivatives of implicit functions
• find derivatives of parametric functions
• understand the notion of higher order derivatives
and find second order derivatives
4
Applications of
Derivatives
• determine whether a function is increasing or
decreasing
• apply differenciation in Economics
• find maximum and minimum values of a
function
• solve optimization problems in Commerce and
Economics
5 Integration
• understand the relationship between
differenciation and integration
• use standard formulae of integration
• use fundamental rules of integration
• use the method of substitution for integration
• identify integrals of special types
• find integrals using integration by parts
• use important formulae of integration
• use partial fraction in integration
6 Definite Integration
• understand the relationship between indefinite
and definite integrals
• remember fundamental theorems of integral
calculus
• remember properties of definite integrals and use
them in solving problems
7 Application of
Definite Integration • find area bounded by specified lines and curves.
8
Differential
Equation and
Applications
• identify order and degree of a differential
equation
• form a differential equation
• solve a differential equation
• use variables separable and substitution methods
to solve first order and first degree differential
equations
• solve homogeneous and linear differential
equations
• use differential equations to solve problems on
growth and decay of populations and assets