Form No. QC001
FACULTY OF ENGINEERING
Department: Basic Science /Mathematics
Course Syllabus
Instructor Name TAREK NABIL AHMED
Algebra and Analytical Geometry
Course Title:
Course code:
Prerequisite:
4
Level:
Lecture Times:
Office Hours
Co-requisite:
Academic Year:
TU: 3:00-3:50 WD: 9:00-10:50
TH: 2:00-2:50
MO: 1-2
TH: 10-11
Math107
Tutorial Time:
1434/1435
Semester:
Lab Time:
3 (3,1,0)
Cr.
Hrs:
SU: 11-12
First Semester
Office number
1D003-2-42-5
Course Description
Systems of linear equations: matrices, determinants, inverse of a matrix, Cramer’s rule. Vectors in two and three
dimensions, scalar and vector products, equations of lines and planes in space, surfaces, cylindrical and spherical coordinates.
Vector valued functions. Motion of a particle in space, tangential and normal components of acceleration. Directional derivatives,
tangent planes and normal lines to surfaces. Infinite series, convergence and divergence of
infinite series, integral test, ratio test. Power series. Taylor and Maclaurin series
Course Goals and Objectives
1 Solving a system of linear equations in different methods (Gauss-Jordan, Inverse of coefficient
3
matrix, Cramer's rule)
Carry out arithmetic operations and define the characteristic of academic geometric shapes in
vector space
Determine the convergence or the divergence of series and calculate the limits in possible cases
1
2
3
Apply knowledge of mathematics, science, and engineering.
An ability to identify, formulate, and solve engineering problems.
A knowledge of contemporary issues
2
Course Outcomes
N
1
2
3
4
5
6
7
8
9
10
11
12
13
Course Contents
Short Description
Matrices: introduction and properties
System of linear equations: introduction and method of solving
Determinants and Cramer's rule
Vectors in 2 and 3 dimensions, scalar and vector product
Eigenvalues and eigenvectors: introduction and properties
Partial fractions
Vector valued functions
Directional derivatives
Conic sections
Infinite series: convergence and divergence
Test of convergence: integral, ratio, comparison
Conditional and absolute convergence
Equation of lines and planes in space, Power series
Week
1
2,3
4
5,6
7
8
9
10
11
12
13
14
15
Mode of Assessment
1
2
3
4
First Midterm exam
Second Midterm exam
Quiz and homework assignments
Final Exam
Textbook:
20%
20%
20%
40%
Books
1-Anton, H. and Rorres, C., " Elementary linear algebra: Application version", Wiley, 10 th
References:
edition, 2010.
2- Anton, H., " Calculus: Anew Horizon ", Wiley, 6th edition
Kolman, B. and Hill, D., "Elementary linear algebra with applications", Wiley, 9 th edition ,2007.