SYNOPSIS

SYNOPSIS
ENGINEERING MATHEMATICS 2 provides exposure to students regarding complex numbers which explains real and imaginary numbers. This course also emphasizes on calculus and its applications.

SUMMARY
1.0 COMPLEX NUMBERS
This topic discusses the difference between real numbers and imaginary numbers. Basic operation on complex numbers is also explained. This topic also shows the representation of complex numbers in the form of Argand’s diagrams, polar and exponential. Basic operation in polar form is also discussed.

2.0 DIFFERENTIATION
This topic includes first order differentiation and various differentiation techniques. It includes differentiation of an algebraic, trigonometric, logarithmic and exponential functions. Differential concept is also applied in parametric equation functions.

3.0 APPLICATIONS OF DIFFERENTIATION
This topic explains application of differentiation in calculating gradient of curve. This topic also expounds the application of differentiation to find stationary points as well as sketching its graph. Differentiation is applied to solve kinematical and real problems.

4.0 INTEGRATION
This topic shows that integration is the inverse of differentiation. Integration for algebraic, trigonometric, exponential and reciprocal functions are discussed. This topic also explains the substitution method.

5.0 APPLICATIONS OF INTEGRATION
This topic builds an understanding of the integration applications in calculating the areas and the volumes of bounded region. Integration is also applied to solve kinematical problems