Write about some simple Engineering Mathematics topics

Hello there,
We're here to hire someone who can explain some of the basics of engineering mathematics (BCA Mathematics-I).
Anyone who is interested, needs to cover the following topics:

Unit-I Syllabus - Determinants:-
Definition
Minors
Cofactors
Properties of Determinants
Matrices
Definition
Types of Matrices
Matrix Addition
Matrix Subtraction
Matrix Multiplication
Scalar Multiplication
Adjoint
Inverse
Cramer's Rule
Rank of Matrix Dependence of Vectors
Eigen Vectors of a Matrix
Calley-Hamilton Theorem (without proof)

Unit-II Syllabus - Limits and Continuity:-
Limit at a Point
Properties of Limit
Computation of Limits of Various Types of Functions
Continuity at a Point
Continuity Over an Interval
Intermediate Value Theorem
Type of Discontinuities

Unit-III Syllabus - Differentiation:-
Derivative
Derivatives of Sum
Differences
Product and Quotients
Chain Rule
Derivatives of Composite
Functions
Logarithmic Differentiation
Rolle's Theorem
Mean Value Theorem
Expansion of Functions (Maclaurin's and Taylor's)
Indeterminate Forms
L' Hospitals Rule
Maxima and Minima
Curve Tracing
Successive Differentiation and Liebnitz Theorem

Unit-IV Syllabus - Integration:-
Integral as Limit of Sum
Fundamental Theorem of Calculus (without proof)
Indefinite Integrals
Methods of Integration
Substitution
By Parts
Partial Fractions
Reduction Formulae for Trigonometric Functions
Definition of Gamma and Beta Functions

Unit-V Syllabus - Vector Algebra:-
Definition of a vector in 2 and 3 Dimensions
Double and Triple Scalar and Vector Product and physical interpretation of area and volume