Form No. QC001
FACULTY OF ENGINEERING
Department: Basic Science/ Mathematics
Course Syllabus
Instructor Name
Course Title:
Mukhtar Salah
Integral Calculus
Math 105
Prerequisite:
Co-requisite:
4
Level:
Academic Year:
Mo. 1:00-1:50
We. 9:00-10:50
Lecture Times:
Office Hours
Su: 9-10
Mo: 9-10
Math106
3 (3,1,0)
Course
Cr.
code:
Hrs:
Tutorial Time:
1434/1435 Semester: First Semester
Lab Time:
Tu: 10-12,
We :11-1
Office number
1D031
Course Discription
Course Goals and Objectives
1
2
3
4
Calculating definite and indefinite integral for real function
Calculating the integrals by using different techniques
Calculating double and triple integrals
Applying the integral calculus in geometric science and engineering
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
8
9
Integral( definitions of indefinite and definite integral)
Fundamental theorem of calculus, Area
Techniques of integration: substitution, by part, partial fraction
Integration of inverse trigonometric functions, of logarithmic and exponential
functions, of hyperbolic and inverse hyperbolic functions
Improper integrals. Double integral, areas and volumes
Double integrals in polar coordinates.
Triple integral in cylindrical and spherical coordinates, volume, moment and
center of mass
Vector fields, line integrals, surface integrals
Green’s theorem, the divergence theorem, Stoke’s theorem.
1
2
3
4
First Midterm exam
Second Midterm exam
Quiz and homework assignments
Final Exam
5
6
7
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