At the end of this course, the students; 1) Increase the awareness of his mental potential and abilities; gain an ability to utilize a higher percentage the capacity of the mind via brain exercises. 2) Solidify the patterns of rational or mathematical (and therefore exact) thinking. 3) Have a knowledge with the Engineering Mathematics needed in diverse areas of science and technology in general, and specific areas of engineering in particular. 4) Acquire effective analytical thinking ability and study habits; and also deepen and widen his thought and vision. 5) Develop problem-solving skills. 6) . 7) .
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
Yes(MAT151)
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
This course is a continuation of MAT 151 (Calculus I). Its content comprises of the following concepts: Vector Calculus, Lines, Planes and Surfaces in Space. Functions of Several Variables. Limits and Continuity. Partial and Directional Derivatives. Gradients and Tangent Planes. Extreme Values of Functions and Lagrange Multipliers. Optimization. Numerical and Power series. Maclaurin and Taylor Series. Multiple Integrals in Rectangular, Polar, Cylindrical and Spherical Coordinates. Line Integrals, Green's Theorem in the Plane. Surface Integrals, Gauss and Stokes' Theorems.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Sequences and Series
2nd Week
Tests for Convergence
3rd Week
Alternating Series, Power Series, Taylor and Maclaurin Series
4th Week
Vectors, Lines, Planes and Surfaces in Space
5th Week
Functions of Several Variables
6th Week
Limits and Continuity
7th Week
Partial and Directional Derivatives
8th Week
Midterm Exam
9th Week
Gradients and Tangent Planes
10th Week
Extreme Values of Functions and Lagrange Multipliers
11th Week
Double Integrals in Rectangular and Polar Coordinates
12th Week
Applications of Double Integrals
13th Week
Line Integrals, Green's Theorem in the Plane
14th Week
Triple Integrals in Rectangular and Cylindrical Coordinates