Form No. QC001
FACULTY OF ENGINEERING
Department: Basic Science/ Mathematics
Course Syllabus
Instructor Name
Course Title:
TAREK NABIL AHMED
Differential Calculus
Prerequisite:
3
Level:
Lecture Times:
Co-requisite:
Academic Year:
SU: 1-2
WD: 8-9
MO: 9-10
SU: 10-11
Mo: 11-12
Office Hours
Math105
3 (3,1,0)
Course
Cr.
code:
Hrs:
WD 1-2
Tutorial Time:
1434/1435 Semester: Second Semester
Lab Time:
Office number
1D003-2-42-5
Course Description
Derivatives, differentials, chain rule, implicit differentiation, higher order derivatives, local extrema, concavity,
horizontal and vertical asymptotes, applications of extrema, related rates. Inverse trigonometric functions, logarithmic
and exponential functions, hyperbolic and inverse hyperbolic functions. Functions in two or three variables: their
limits, their continuity and their partial derivatives.
Course Goals and Objectives
1
2
3
Study the real function in one variable: derivatives, local extrema, concavity, asymptotes
Study the real function in two or three variables : limit, continuity, partial derivatives
Study some functions: trigonometric, logarithmic, exponential functions
a.
e.
j.
Apply knowledge of mathematics, science, and engineering.
An ability to identify, formulate, and solve engineering problems.
A knowledge of contemporary issues
Course Outcomes
N
1
2
3
4
Course Contents
Short Description
5
6
7
8
9
Set of numbers( real numbers), Average rate of change,
Derivatives: (definition, properties )
Chain rule, implicit differentiation, Higher order derivatives
Differentiation of ( trigonometric, logarithmic, exponential, hyperbolic, inverse of
trigonometric, inverse of hyperbolic ) functions
Local extrema, concavity
Related rates ,horizontal and vertical asymptotes
Applications of derivatives (Mean Value Theorem, Rolle's Theorem).
Function into two or three variables: their limits, their continuity
Partial derivatives
1
2
3
4
First Midterm exam
Second Midterm exam
Quiz and homework assignments
Final Exam
Week
1
2
3,4
5,6
7,8
9,10
11
12,13
14,15
Mode of Assessment
20%
20%
20%
40%
Books
Textbook:
Reference
Thomas, G. B. and Finney, R. L., " Calculus and Analytic Geometry", Addison Wesley,
(last edition)
Stewart, J.," Calculus: Early Transcendentals ", Brooks/Cole, Cengage learning, 7th
edition, 2012