Course Title: Calculus- 1

Course Code: 101MATH-3

Program: Bachelor of Science in Mathematics

Department: Mathematics

College: Science

Institution: King Khalid University

Version: Course Specification Version Number

Last Revision Date: 3 September 2023

Table of Contents
A. General information about the course: ................................................................ 3
B. Course Learning Outcomes (CLOs), Teaching Strategies and Assessment
Methods .................................................................................................................... 4
C. Course Content ...................................................................................................... 5
D. Students Assessment Activities ............................................................................ 5
E. Learning Resources and Facilities .......................................................................... 6
F. Assessment of Course Quality ............................................................................... 6
G. Specification Approval .......................................................................................... 7

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A. General information about the course:

1. Course Identification
1. Credit hours: (3)

2. Course type
A. ☐ University ☒ College ☐ Department ☐ Track ☐ Others
B. ☒ Required ☐ Elective
3. Level/year at which this course is offered: (1st level/1st year)
4. Course general Description:
Calculus 1 introduces students to very important concepts in mathematics. Students start by
learning about equations and inequalities. Topics include functions and their domains, limits and
the meaning of a limit, continuity, and derivatives.
Students learn techniques of differentiation, Roll’s Theorem, and the mean value theorem.
Furthermore, students learn some applications of derivatives. Derivatives are used to study
increasing and decreasing functions, concavity, maximum and minimum values of a function, and
graphs of functions.
5. Pre-requirements for this course (if any):
None
6. Corequisite for this course (if any):
None
7. Course Main Objective(s):
Introduce students to the basics of calculus.
2. Teaching mode (mark all that apply)
No Mode of Instruction Contact Hours Percentage
1 Traditional classroom 2 66
2 E-learning -- --
Hybrid
3 ● Traditional classroom 1 34
● E-learning
4 Distance learning -- --
3. Contact Hours (based on the academic semester)
No Activity Contact Hours
1. Lectures 48

2. Laboratory/Studio --

3. Field --

3
 4. Tutorial --

5. Others (specify) --

Total 48
B. Course Learning Outcomes (CLOs), Teaching Strategies and Assessment
Methods
Code of
CLOs
Teaching Assessment
Code Course Learning Outcomes aligned
with Strategies Methods
program
1.0 Knowledge and understanding
Understand the basic concepts of limits, Lectures, up to
1.1 K1 Exams, tutorials,
continuity, and differentiability. date
Find and interpret the derivative of supervision,
1.2 K2 textbooks,
functions. presentations,
handouts, develop
essays,
Understand the geometric concepts of skills in using
1.3 K1 feedback on
continuity and differentiability. library and other
written work and
Study some applications of learning resources,
1.4 K3 homework.
differentiation. use of the Internet.
2.0 Skills
Calculate limits and determine continuity
2.1 S1
for functions. Exams, tutorials,
2.2 Perform differentiation correctly. S1 supervision,
Study the continuity of a function at a Tutorials, presentations,
2.3 S1-2
point and interval. Group working, feedback
Use Hospital’s rule to find the limit of problem- on written work
2.4 S1
functions. solving, discussion, and
Correctly use some famous theorems in feedback on homework,
calculus such as: Intermediate Value written critical
2.5 S1-3
Theorem, Mean Value Theorem, and work assessment, peer
Fundamental Theorem of Calculus. assessment,
Sketch the graph of polynomials, self-assessment.
2.6 S2
trigonometric and rational functions.
2.7 Communicate effectively. S4 Feedback,
Work effectively, both independently and experiential
2.8 S5 learning,
as part of a group. Critical
Use e-learning to fill gaps in the course learning logs,
assessment,
knowledge. structured
peer assessment,
experiences in
2.9 S6 self-assessment.
groups,
self-assessment,
profiling.
3.0 Values, autonomy, and responsibility

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 Code of
CLOs
Teaching Assessment
Code Course Learning Outcomes aligned
with Strategies Methods
program
Adhere to ethical values and excellence in Feedback,
3.1 V1
professional practices. experiential
Able to articulate awareness of and learning,
Critical
demonstrate personal characteristics and learning logs,
3.2 V2 assessment,
critical thinking that positively impact the structured
peer assessment,
learning process. experiences in
self-assessment.
Take full responsibility for initiating, groups,
3.3 identifying, amending, and achieving V3 self-assessment,
aims. profiling.

C. Course Content
No List of Topics Contact Hours
1. Basic notions (Sets of Numbers, intervals, absolute value) 6
2. Equations and Inequations. 6
Study of the properties of real functions (domain of definition, odd and
3. even functions, injective surjective bijective functions, inverse function, 6
compose function).
4. Limits. 6
5. Continuity 6
6. Derivatives, Chain rules, Higher order-derivatives - Main value theorem 6
Extrema, Increasing and decreasing function and the first derivative test,
7. 6
Concavity and the second derivative test.
8. Plot curves. 6
Total 48

D. Students Assessment Activities

Assessment Percentage of
No Assessment Activities * timing Total Assessment
(In week no) Score
Practical applications (solutions exercises), quizzes,
1. Weekly 30
and homework
2. Midterm exam 9-10 30
3. Final exam 18-19 40
*Assessment Activities (i.e., Written test, oral test, oral presentation, group project, essay, etc.).

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E. Learning Resources and Facilities

1. References and Learning Resources

E. W. Swokowski, “Calculus”, Boston, Mass. PWS Publishing,
Essential References
1994.
‫ محمد‬.‫ د‬.‫● حساب التفاضل والتكامل – مدخل يف حساب التفاضل – الجزء األول‬
.‫ جامعة الملك سعود‬.‫عادل سودان وآخرون‬
Supportive References ● H. Anton, “Calculus with Analytic Geometry”, 6th edition,
Wiley,1998.

● Websites on the internet that are relevant to the topics of the

Electronic Materials course.
● E-learning lms.kku.edu.sa

Any book on the topics of the course available at the Central

Other Learning Materials
Library.

2. Required Facilities and equipment

Items Resources
facilities
(Classrooms, laboratories,
Lecture room for 25 students
exhibition rooms, simulation
rooms, etc.)
Technology ● Data show device, Video Conference system and Smart boards
equipment ● Computers loaded with modern software and connected to
(Projector, smart board, Internet service
software)
Other equipment
(Depending on the nature of Not Applicable
the specialty)

F. Assessment of Course Quality

Assessment Areas/Issues Assessor Assessment Methods
Students/Program
Effectiveness of teaching Surveys & Interviews
coordinator/Faculty/HoD
Effectiveness of Students/Program
Surveys & Interviews
Students’ assessment coordinator/Faculty/HoD
Quality of learning resources Students and Faculty Surveys & Interviews
The extent to which CLOs CLOs assessment
Course coordinator/Q&D committee
have been achieved form
Assessors (Students, Faculty, Program Leaders, Peer Reviewer, Others (specify)
Assessment Methods (Direct, Indirect)

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G. Specification Approval
COUNCIL
/COMMITTEE Department Council
REFERENCE NO. 08/45
DATE 25/04/1445