Matrix Algebra: addition and scalar multiplication, matrix multiplication. Elementary row operation, reduced row-echelon form, singular matrix, inverse of a matrix.
Systems of linear equations: solving by matrix method, homogeneous and nonhomogeneous systems.

Differentiation: definition of derivative/differentiation, theorems of differentiation, chain rule, differentiation of inverse functions, implicit differentiation, higher order derivatives, differentiation of logarithmic, exponential and trigonometric functions. Applications of differentiation.

Integration: integration of exponential, logarithmic and trigonometric functions. Other techniques of integration. Applications of integration.

References:

1. Smith and Minton (2006). Calculus: Concepts and Connections (International Edition). McGraw-Hill.

2. Nicholson, W.K. (2004). Elementary Linear Algebra (2nd Edition). McGraw-Hill.