Course Syllabi
Course Title and Code
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Linear Algebra and Analytical Geometry: Math 109
Course Identification and General Information:
Department
Information Technology
Course Level
3
Contact Hours
3
Credit Hours
3
Web Address
http://www.coc.qu.edu.sa/en/Dr.Anwar.Sadiyal/Pages/default.aspx
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Course Instructor’s or Coordinator’s Name: Dr. Anwar Hussain Sadiyal
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Textbook Title, Author, and Year:
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Calculus with analytical geometry, Howard Anton, John Wiley & Sons, 2007.
Other Supplemental Materials:
NA
Specific Course Information:
Catalog 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 values functions, their limits continuity, derivatives and
integrals Motion of particle in space, tangential and normal components of acceleration, Functions in
two or three variables, partial derivatives ,differentials, chain rule, directional derivatives, tangent
planes and normal lines to the surfaces, Extrema of functions of several variables. Lagrange
multipliers.
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Pre-requisites: Differential calculus Math 105
Co-Requisites: NA
Required, Elective, or Selected Elective: Required.
 Specific Goals for the Course: Summary of the main learning outcomes for enrolled students.
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Perform basic matrix operations.
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Use Gaussian Elimination to solve systems of linear equations
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Find the determinant of square matrices.
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Find the cofactor matrix and use it to find the inverse of a matrix.
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Solve a system of linear equations by Cramer’s Rule
Define a vector and perform basic vector operations (addition, scalar multiplication,
length of a vector).
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Find the dot product and cross-product of two vectors and triple products of three vectors.
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Find the angle between two vectors and direction cosines of a vector in space.
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write the parametric equations of a line in space.
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Find the equation of a plane and the distances between two objects in space(points and
planes)
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Convert among rectangular ,cylindrical and spherical coordinates.
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Find limits, derivatives and integrals of vector-valued functions.
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Find the arc length and curvature of a plane curve or space curve.
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Find the unit tangent vector and unit normal vector to a curve at a point.
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Find the tangential and normal components of acceleration.
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Determine if a functions of several variables is continuous or differentiable.
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Find the partial derivatives of a functions of several variables and use the chain rules.
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Find the equation of the tangent plane and normal line to a surface at a point.
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Find the directional derivative and gradient of a function of several variables.
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Find the absolute extrema of a function of several variables.
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Use the method of Lagrange multipliers to solve optimizations problems.
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Program Outcomes Addressed by the Course:
This course provides the following outcomes with the following relationship:
Information Technology Program Outcome
Relationship
to Course
a) An ability to apply knowledge of computing and mathematics appropriate to the discipline.
b) An ability to analyze a problem, and identify and define the computing requirements
appropriate to its solution.
c) An ability to design, implement, implement and evaluate a computer-based systems,
processes, components, or programs to meet desired needs.
High
Medium
Not Related
d) An ability to work effectively in teams to accomplish a common goal.
Not Related
e) An understanding of professional, ethical, legal, security and social issues and responsibilities.
Not Related
f)
An ability to communicate effectively with a range of audiences for the purpose of supporting
and serving the community and the surrounding environment.
g) An ability to analyze the local and global impact of computing on individuals, organizations,
and society.
Not Related
Not Related
h)
Recognition of the need for and an ability to engage in continuing professional development.
Low
i)
An ability to use current techniques, skills, and tools necessary for computing practice.
Low
j)
An ability to use and apply current technical concepts and practices in the core information
technologies.
k)
An ability to identify and analyze user needs and take them into account in the selection,
creation, evaluation and administration of computer-based systems.
l)
An ability to effectively integrate IT-based solutions into the user environment.
Not Related
Not Related
Not Related
m) An understanding of best practices and standards and their applications.
Not Related
n)
Not Related
An ability to assist in the creation of an effective project plan.
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Brief List of Topics to be covered:
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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 values functions, their limits continuity,
derivatives and integrals
Motion of particle in space,
tangential and normal components of acceleration,
Functions in two or three variables,
partial derivatives ,
differentials, chain rule, directional derivatives,
tangent planes and normal lines to the surfaces,
Extrema of functions of several variables.
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Lagrange multipliers.
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Outcome Assessment:
1.
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Direct Assessment
Midterm Written Exam I
Midterm Written Exam II
Final Written Exam
Quizzes
Homework
Integrative Projects
Students’ Portfolios
Case Study
Oral Exams
Written Reports
Participation in Lecture
Illustrative Presentations
Use of Computer Facilities by Students
Reading of References Related to Course Topics
Team Work
Practice in the Lab
2.
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Indirect Assessment
Pre-Course Questionnaire
Post-Course Questionnaire
Group Discussions
Students’ Interviews
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Course Outline:
Topics
Contact Hours
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Systems of linear equations, matrices, determinants ,inverse of a matrix.
Cramer's rule ,
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vectors in two and three dimensions, scalar and vector products, equations of
lines and planes in space, Surfaces, cylindrical and spherical coordinates,
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vector values functions, their limits continuity, derivatives and integrals,
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Motion of particle in space, tangential and normal components of
acceleration,
4
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Functions in two or three variables, partial derivatives ,
4
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differentials, chain rule, directional derivatives,
3
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tangent planes and normal lines to the surfaces,
5
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Extrema of functions of several variables, Lagrange multipliers.
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9
6
5
45
Total Contact Hours
Notes:
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A 3 Credit Theory-Course should utilize 45 Contact Hours in 15 Weeks.
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A 2Credit Practical-Course should utilize 30Contact Hours in 15 Weeks.
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A 4 Credit Course (3 Theory and 1 Practical) should utilize 60Contact Hours in 15 Weeks.
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Each theory-credited Contact Hour is equivalent to 50 lecture minutes and 10 minutes of rest.
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Each practical-credit Contact Hour is equivalent to 100 lab minutes and 20 minutes of rest.
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