Institution Academic Department : Programme Course .

Institution:Academic Department :Programme :Course :Course Coordinator :Programme Coordinator:College of Science at Zulfi, Majmaah University.of Mathematics.Bachelor degree of mathematics.Basis of MathematicsDr Rabah KellilNA

10/ 02 / 1436 HCourse Specification Approved Date :A. Course Identification and General Information1. 1 - Course title : Basis of MathematicsCourse Code: MATH231(04 Hours)2. Credit hours :3 - Program(s) in which the course is offered: BSc of Mathematics4 – Course Language : EnglishDr Rabah kellil2. 5 - Name of faculty member responsible for thecourse:3. 6 - Level/year at which this course is offered : Third semester7 - Pre-requisites for this course (if any) : Introduction of Mathematics PMTH 1128 - Co-requisites for this course (if any) : NA9 - Location if not on main campus :NA10 - Mode of Instruction (mark all that apply)A - Traditional classroomB - Blended (traditional and online)D - e-learningE – CorrespondenceF - Other What percentage?90 %What percentage? . %What percentage? . %What percentage? . %What percentage?10%Comments :.B ObjectivesWhat is the main purpose for this course?1. Have the knowledge of mathematical logic and operation on them.2. Have the knowledge of the methods of proof (induction, contrapositive, contradiction).3. Studying the function, sets and their properties.4. Studying the relations and their properties and how we can represented, also studying theequivalence relation.5. Have the knowledge of groups and their properties.6. Studying the rings and their properties.Briefly describe any plans for developing and improving the course thatPage 2 Of 7

are being implemented :1- Renew the course references frequently.2-Frequently check the latest discovery in science to improve the course objectives.3- The course needs the use of computers.4- Posting some course material on the websites to help the students.5- Focusing on generic skills.C. Course Description1. Topics to be CoveredNo. of ContactWeeks HoursList of TopicsMathematical LogicMethods of proof ( mathematical Induction, Contrapositive,contradiction)- Functions and their properties- Sets and their properties- Relations and their properties- Representing relations- Equivalence relation- Groups and their elementary properties.- Subgroups , normal subgroups.- Rings and their elementary properties (ideals, operations on ideals)- polynomials ring- Partial fractions--Introduction to Fields and to their elementary properties3122831228312282. Course components (total contact hours and credits persemester):LectureTutorial NA60Credit.4 CreditHoursPage 3 Of 7

3. Additional private study/learning hours expected forstudents per week.06 hours4. Course Learning Outcomes in NQF Domains of Learning andAlignment with Assessment Methods and Teaching StrategyNQF Learning DomainsAnd Course Learning OutcomesCourse TeachingStrategies1.0 Knowledge1.1 The student should demonstrate a comprehensive1.23.1We first introduce newnotions, give examplesand a coherent knowledge in sets theory, thefrom the simple onesrelations between their elements, the functions and(numbers sets) to complexones, we establish thetheir properties.attached properties, weThe student should demonstrate a comprehensivegive and prove differentand a coherent knowledge in logic reasoning to built theorems related to thosenotions. Finally wea coherent mathematical dissertation.construct new examplesThe student should be able to choose a strategy toand concepts. To well fixprove a mathematical problems using differentthe principal facts,homework is proposed.methods of proof.3.1 As a first algebraic structure, the student will beinitiated to the groups, subgroups and the relatedproperties3.1 The second algebraic the student should know theelementary properties of rings and ideals.2.0 Cognitive Skills2.1 apply conceptual understanding of concepts,principles, theories related to Sets, Functions,relations.2.2apply procedures involved in critical and logicalthinking and creative problem solving whenrequired to do so, and when faced withunanticipated new situations (different methods tosolve a given problem).3.1 investigate issues and problems in a field of studyusing a range of sources.Page 4 Of 7Explanations and examplesgiven in lectures.Guidance and supervision ofthe work developed in tutorialclasses.By using many examplesCourseAssessmentMethodsMCQ onprincipaltheorems-Provingadditionalnotions that canbeen elaboratedfrom the generalstudy-In general weintroduce a shortquestion tocontrol theability of thestudent to makethe relationshipbetween all theparts of thecourse.Short questions anddiscussion duringthe tutorial class short quizzes.

NQF Learning DomainsAnd Course Learning OutcomesCourseAssessmentMethodsCourse TeachingStrategies3.1 draw valid conclusions.3.0 Interpersonal Skills & Responsibility3.1 take responsibility for their own learning nalSome eWe show that MAPLE cansolve many mathematicalproblems and show howMAPLE works.NAWork effectively in groups and exercise We explore the different subpackages of the software.leadership when appropriate forumsAct responsibly in personal and professionalrelationships1.1 act ethically and consistently with high moralstandards.4.04.14.21.1Communication, Information Technology, Numericalcommunicate effectively in oral and written formuse information and communications technology.Use modern mathematical and statisticaltechniquesWe show that MAPLE cansolve many mathematicalproblems and show howMAPLE works.We explore the different subpackages of the software5.0 Psychomotor5.1 an ability to use sensory cues to guide motor5.2activityskillful performance of motor activitiesNA5.3 coordination of a series of activities to achieveNATo control thedocument producedby the student, theresults obtained forthe exercisesproposed.internal consistency5.4 achievement of high levels of motor skillsperformance naturally5. Schedule of Assessment Tasks for Students During the Semester:123Page 5 Of 7Assessment taskWeek DueProportionof Total AssessmentMidterm exams320Midterm exams1020Final exams1540

4Home Works MCQ and Quizzes.2, 4,6,8,1220D. Student Academic Counseling and Support.E. Learning Resources2. List Essential References Materials :- R. A. Dean : Classical Abstract Algebra , Harper and Row. Inc., 1990 .- M. Madan : Set Theory, Mass-Wesley , 1970 .- D. Saracino : Abstract Algebra, A first Course, Addison Wesley , 1980 .3. List Recommended Textbooks and Reference Material :-A Gentle Introduction To Abstract Algebra by B.A. Sethuraman can be download:http://www.csun.edu/ asethura/giaa/giaa.pdf- Lecture Notes in Discrete Mathematics Marcel B. Finan, Arkansas Tech University can bedownload: http://faculty.atu.edu/mfinan/main2.pdf4. List Electronic Materials : NA5. Other learning material : NAF. Facilities Required1. Accommodation 1 class room for 25 students.1 Mathematical Lab with 25 computers equipped with MAPLE software2. Computing resources 1 class room for 25 students.1 Mathematical Lab with 25 computers equipped with MAPLE software3. Other resources e-learning system of the universityPage 6 Of 7

G Course Evaluation and Improvement Processes1 Strategies for Obtaining Student Feedback on Effectiveness of Teaching: e-learning site web of the College2 Other Strategies for Evaluation of Teaching by the Program/DepartmentInstructor : The measurement Unit's Process of the college and the evaluation committee .3 Processes for Improvement of Teaching : The measurement Unit's Process of the college4. Processes for Verifying Standards of Student Achievement The measurement Unit's Process of the college5 Describe the planning arrangements for periodically reviewing courseeffectiveness and planning for improvement : Each semester the results of the students are studied to determine eventually the part ofthe course which need to be improved, changed or to be more illustrated.Course Specification ApprovedDepartment Official Meeting No ( 3) Date 10/ 02 / 1436 HCourse’s CoordinatorName :Dr Rabah Kellil.The Head of the DepartmentPr.Dr Adel ZakiName :Date :Date :Signature :Page 7 Of 710/02 /1436 HSignature : ./ / H

Page 2 Of 7 Course Specification Approved Date : 10 / 02 1436 H A. Course Identification and General Information 1. 1 - Course title : Basis of Mathematics Course Code: MATH231 2. Credit hours : (04 Hours) 3 - Program(s) in which the course is offered: BSc of Mathematics 4 – Course Language : English 2. 5 -