Kingdom of Saudi Arabia
Ministry Of Higher Education
Majmaah University
Deanship of Quality assurance
and Human Development
Course Specification
)Summary)
Calculus (1) ( math 101)
1431/1432
1
Course Specification
Institution: Majmaah University
College/Department: Zulfi College of Science - Dept. of mathematics
A- Course Identification and General Information
1. Course title and code: Calculus (1) ( math 101)
2. Credit hours: Credit Hours Credit Hours (lecture + exercises) : 4(3+1)
3. Name of faculty member responsible for the course:
Dr/ Mohammed Mohammed Khalaf Hussein
4. Level/year at which this course is offered: First level (The first year studentsFaculty of science- Division of Physics / Mathematics)
5. Co-requisites for this course (if any): non
B- Objectives
Prerequisite : ----Contents: Real numbers and real line – Inequality- Functions – The graph of a function – even
and odd functions – composite of functions – Review of Trigonometric functions – inverse
functions – Limits– Properties of Limits – Techniques for Evaluating Limits – Infinites LimitsContinuity– Properties of continuity- The Derivative of a function – Differentiability and
continuity – Chain rule – Derivatives of Trigonometric functions – Logarithmic and exponential
functions and their derivatives – Hyperbolic functions- Inverse trigonometric functions and their
derivatives- Extrema on an interval – Rolle's theorem and the mean value theorem – Increasing
and Decreasing functions and the first derivative test – concavity and second derivative test –
Optimization and graphs plotting– related rates- Conic sections.
2
C- Course Description
1. Topics to be Covered
No of
Contact
Weeks
hours
Real numbers and real line – Inequality- Functions – The graph of a
function – even and odd functions – composite of functions
2
2
Review of Trigonometric functions – inverse functions – Limits–
Properties of Limits – Techniques for Evaluating Limits
The Derivative of a - Continuity– Properties of continuity-Infinites Limits
2
2
4
2
Hyperbolic functions- Inverse trigonometric functions and their
Extrema on an interval-derivatives
2
2
– Rolle's theorem and the mean value theorem – Increasing and
Decreasing functions and the first derivative test
2
2
– concavity and second derivative test –Optimization and graphs
plotting– related rates- Conic sections.
2
2
List of Topics
function – Differentiability and continuity – Chain rule – Derivatives of
Trigonometric functions – Logarithmic and exponential functions
2. Course components (total contact hours per semester):
Lecture:
Tutorial:
Laboratory
Practical/Field
work/Internship
3
Other:
56
-
-
-
-
3. Additional private study/learning hours expected for students per week. (This
should be an average: for the semester not a specific requirement in each
week):
4. Schedule of Assessment Tasks for Students During the Semester
No.
Assessment task
Week of Assessment
Proportion of Final
Assessment
1
The first midterm test
10
10 %
2
The second midterm test
10
10 %
3
Search and display
10
10 %
4
Practical exam
10
10%
5
Final exam
60
60 %
D- E Learning Resources.
1. Required Text(s)
a) Theory lectures book
b) Laboratory sessions notes
2- Recommended Books and Reference Material (Journals, Reports, etc)
(Attach List): 1- Gerald B. Folland, Advaned calculus, Prentice2- Berkey, d. and Balanchard, P., Calculus (3
NewYork, 1992
4
rd
Hall, Inc. 2002.
Edition), Saunders College Publishing,
(3)Swokowski, Olinick, and Pence: Calculus, SIXTH EDITION. John Wiely & Sons, New York.
(4) H. Anton : Calculus with Analytical Geometry , 5th ed ,John Wiely & Sons , New York , 1995.
(5) R. E. Larson and R. P. Hostetler: Calculus with Analytic Geometry, 5th Ed, D. C. health and
company, 1994.
- http:// www.sciencedirect.com
-http:// www.gigabedia .org/
-http:// www.siam.org/
- http://ww.cmi.univ-mrs.fr/
- http://ww.arxiv.org/
- http://www.ims.ac.uk/
- http://www.ams.org/
-htt://mathforum.org/advanced/numerical.htm/
5- Other learning material such as computer-based programs/CD, professional
standards/regulations:
Computer Software for Physiology Education such as:
a) Scientific workplaces 5.5
b) Latex
c) Math lab
E- Assessment
5
Methods of assessment used
Quarterly Degree
Final degree
40
60
6