At the end of this course, the students; 1) It is equipped with the necessary Engineering Mathematics knowledge in specific areas of engineering disciplines. 2) Gain analytical thinking ability. 3) Problem solving skills develop. 4) They can apply mathematical knowledge to engineering problems. 5) 6) 7)
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
This is a First Course in Freshman Calculus. Its content comprises of the following concepts: Functions, Limit and Continuity. The derivative and its Applications, Indefinite and Definite Integrals. Trigonometric, Logarithmic, Exponential and Hyperbolic Functions and their Inverses. Techniques of Integration. Applications of the Definite Integral: Area, Volume and Arclength. Indetermined Forms, L' Hopital's Rule. Improper Integral.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Functions, inverse functions and their graphs
2nd Week
Limit, continuity and derivative
3rd Week
Applications of derivatives
4th Week
Related Rates Problems
5th Week
Sketching the graphs of functions in details,
6th Week
Optimization problems
7th Week
L'Hopital's Rules
8th Week
Midterm Exam
9th Week
Indefinite and definite integrals
10th Week
Applications of definite integrals
11th Week
Areas between curves
12th Week
Volumes by Slicing (Disk or Washer) and Shell Methods