EM1204 Calculus and Analytical Geometry II

Objectives:

The course provides various mathematical concepts and analysis methods in calculus, and analytical geometry in the engineering context.
 

Pre-requisite:

EM1102
 

Credit Hours:

3
 

Contact Hours:

45 hours of Lectures
15 hours of Assignments/Tutorials
 

Course Marks

70%  Final Exam
30% Course Work
 

Text & References

-       George B Thomas, Ross L Finney, “ Calculus and Analytic Geometry”, Wesley

-       Kreyszig, "Advanced Engineering Mathematics", JohnWiley & Sons, 8th Edition, 1999.

-       K. A. Stroud, "Engineering Mathematics", ELBS, 4th Edition, 1995.

-       K. A. Stroud, "Further Engineering Mathematics", ELBS, 3rd edition, 1996.
 

Description:

Numbers, intervals, functions, limits exponential, Logarithmic and hyperbolic functions, derivatives, geometrical and physical applications of derivatives. Integration, techniques of evaluating indefinite integration, definite integration, and application: areas, volumes, etc. Role theorem, mean value theorem, Taylor’s theorem. Differentiating of vectors, scalar and vector point functions, del operator, gradient, divergence and curl, line integral: circulation and work, surface integral; flux, Green’s theorem, Stock's theorem, volume integral, Divergence theorem. Axes, translation and rotation of axes, polar coordinates, conic section: parabola, ellipse and hyperbola and their properties.
 

Outlines

Infinite Series (cont)
Conic section, parameterized curves and polar coordinates
Vectors and analytical geometry in space
Vector-valued functions and motion in space
Multivariable functions and partial derivatives
Multiple integrals
Integration in vector field