Course Code: Program: Department: College: Institution

(1)

Course Title: Introductory Mathematics Course Code:

^MTH101

Program: B. Sc. Mathematics Department: Mathematics College: Science

Institution: Jouf University

(2)

2

Table of Contents

A. Course Identification ... 3

6. Mode of Instruction (mark all that apply) ... 3

B. Course Objectives and Learning Outcomes ... 3

1. Course Description ... .ةف ّرعم ريغ ةيعجرملا ةراشلإا !أطخ 2. Course Main Objective ... 3

3. Course Learning Outcomes ... 4

C. Course Content ... 4

D. Teaching and Assessment ... 4

1. Alignment of Course Learning Outcomes with Teaching Strategies and Assessment Methods ... 4

2. Assessment Tasks for Students ... 5

E. Student Academic Counseling and Support ... 5

F. Learning Resources and Facilities ... 5

1.Learning Resources ... 5

2. Facilities Required ... 6

G. Course Quality Evaluation ... 6

H. Specification Approval Data ... 6

(3)

A. Course Identification

1. Credit hours: 3 2. Course type

a. University College Department ✓ ^Others

b. Required ✓ Elective

3. Level/year at which this course is offered: Level 1.

4. Pre-requisites for this course (if any):

5. Co-requisites for this course (if any): None

6. Mode of Instruction (mark all that apply)

No Mode of Instruction Contact Hours Percentage

1 Traditional classroom 4 100 %

2 Blended 3 E-learning 4 Distance learning

5 Other

7. Contact Hours (based on academic semester)

No Activity Contact Hours

1 Lecture 2

2 Laboratory/Studio 0

3 Tutorial 2

4 Others (specify)

Total 4

B. Course Objectives and Learning Outcomes

1) Outline the basic concepts, definitions and areas of applications of general Mathematics.

2) Produce solutions for polynomial equations of first and second degree, mathematical problems in geometry trigonometry which meet the desired needs.

3) Operate orally and written communication effectively.

4) Analyze work independently and within effectively to establish goals, plan tasks, meet deadlines.

2. Course Main Objective

To make the Students aware of the mathematical applications which will be further applicable in their stream studies.

(4)

4

3. Course Learning Outcomes

After finishing this course, student should be able to

CLOs AlignedPLO

s 1 Knowledge and Understanding

1.1 Outline the basic concepts, definitions and areas of applications of general Mathematics.

K1 2 Skills:

2.1

Produce solutions for polynomial equations of first and second degree, mathematical problems in geometry trigonometry which meet the desired needs

S2

2.2 Operate orally and written communication effectively. S5

3 Values:

3.1 Analyze work independently and within effectively to establish goals,

plan tasks, meet deadlines. V3

C. Course Content

No List of Topics Contact

Hours 1 Review of Basic concepts of Algebraic Operations, Equations and Inequalities,

transformation and rotation of axes.

8 2 Cartesian coordinates systems, Distance in plane and Equation of line ⁴ 3 Functions, Polynomials and Rational Functions, complex numbers, partial fractions

functions, Quadratic functions and inverse function .

Graphing

8 4 Inverse, Exponential and Logarithmic Functions, Trigonometric Functions and Inverse

Trigonometric Functions.

8

5 Circular functions and their graphs, Trigonometric Identities and Equations

8

6 Systems of linear Equations and Matrices ⁸

7 Analytic geometry: line, pair of lines, circle ⁸

8 conic sections: parabola, ellipse, hyperbola. ⁸

Total 60

D. Teaching and Assessment

1. Alignment of Course Learning Outcomes with Teaching Strategies and Assessment Methods

Code Course Learning Outcomes TeachingStrategie

s AssessmentMethods 1.0 Knowledge and Understanding

1.1

outline the basic rules, formulas, principles, and theorems in general mathematics (such as:

equations and inequalities, complex numbers, circles, functions and their invariances, Trigonometric functions, solving linear systems correctly, determinants and its properties.

- Lectures

- Flipped class rooms

- Quizzes, - Midterm exams - Final exams

(5)

Code Course Learning Outcomes TeachingStrategie

s AssessmentMethods 2.0 Skills

2.1

Solving the equations and inequalities and reviewing basic concepts of algebraic operations plus transformations and rotation od axes.

- Lectures

- Problem solving and decision making - Flipped class rooms

- Quizzes, - Midterm exams - Final exams

2.2

Operate orally and written communication effectively.

- Written

communications are assessed through students written answers during the course

- Oral

communications are assessed through class discussion & oral exams

3.0 Values 3.1

Analyze work independently and within effectively to establish goals, plan tasks, meet deadlines.

- Working in groups - Presentations

2. Assessment Tasks for Students

# Assessment task* Week Due Percentage of Total

Assessment Score

1 Quizzes 6 &12 10%

2 Assignments & homework 7&13 20%

3 Midterm exam. 7 20%

4 Class discussions 14 10 %

5 Final Exam 16 40%

*Assessment task (i.e., written test, oral test, oral presentation, group project, essay, etc.) E. Student Academic Counseling and Support

The weekly office hours, academic counseling and support hours are available to each student through Blackboard. The ways of contact are available through Blackboard and meetings in the department as well.

F. Learning Resources and Facilities

1.Learning Resources

Required Textbooks College Algebra& Trigonometry, Margaret L. Lial & Others, 2017 Essential References

Materials College Algebra& Trigonometry, Margaret L. Lial & Others, 2017.

www.springer.com –

(6)

6

Other Learning

Materials --

2. Facilities Required

Item Resources

Accommodation

(Classrooms, laboratories, demonstration rooms/labs, etc.)

Classroom

Technology Resources

(AV, data show, Smart Board, software, etc.) Smart Board

Other Resources (Specify, e.g. if specific laboratory equipment is required, list requirements or

attach a list)

Blackboard

G. Course Quality Evaluation Evaluation

Areas/Issues Evaluators Evaluation Methods

Extent of achievement of course

learning outcomes Program Leaders Direct

Effectiveness of teaching and

assessment ^Students Indirect

Quality of learning resources Students Indirect

Course content Peer Reviewer Direct

Evaluation areas (e.g., Effectiveness of teaching and assessment, Extent of achievement of course learning outcomes, Quality of learning resources, etc.)

Evaluators (Students, Faculty, Program Leaders, Peer Reviewer, Others (specify) Assessment Methods(Direct, Indirect)

H. Specification Approval Data Council / Committee Reference No.

Date

(7)

Course Title: Differential Calculus Course Code:

^MTH102

Program: B. Sc. Mathematics Department: Mathematics College: Science

Institution: Jouf University

(8)

2 A. Course Identification

1. Credit hours:3 2. Course type

a. University ^College ^Department √ ^Others

b. Required Elective √

3. Level/year at which this course is offered:

2^nd Level - 1^stYear

4. Pre-requisites for this course (if any): Introductory Mathematics MTH 101 5. Co-requisites for this course (if any): --

6. Mode of Instruction (mark all that apply)

No

Mode of Instruction

Contact Hours Percentage

1 Traditional classroom 2 Blended

3 E-learning

4 Distance learning 3 100%

5 Other

7. Contact Hours (based on academic semester)

1 Lecture 2

3 Tutorial 2

B. Course Objectives and Learning Outcomes 1. Course Description

Real numbers, Limits, Continuity and its Consequences, domain and range of functions, hyperbolic and inverse hyperbolic functions, Differentiation, The Chain Rule,

Derivatives of polynomial, Exponential and Logarithmic Functions, Trigonometric and Inverse Trigonometric Functions, hyperbolic and inverse hyperbolic functions, Implicit Differentiation , Higher Order Derivatives and, Indeterminate Forms and L’Hopital’s rule, local extrema, concavity, horizontal and vertical asymptotes, graphing curves, applications of extrema, related rates, Rolle’s theorem ,mean value theorem ,Taylor and maclorine series in one variable.

2. Course Main Objective

1- To define to the student on Real numbers, Limits, Continuity and .Differentiation 2- To define to the students on graphics: their types, properties and applications.

3- To define to the student on Theories: Applications of Differentiation.

(10)

4 3. Course Learning Outcomes

CLOs Aligned

PLOs 1 Knowledge and Understanding

1.1 Tell about characteristics and properties of Differential Calculus.

1.2 Define the most important applications of Differential Calculus.

1.3 1.4

2 Skills : 2.1

2.2

2.3 Explains different theories, algorithms and application fields.

2.4 Use mathematical theories in solving of problems relating to the calculus 3 Values:

3.1 Use a method of discussing problems scientifically by asking questions and answering them.

3.2 3.3 3.4

C. Course Content

Hours

1 Real numbers, Limits, 3

2 Continuity and its Consequences 3

3 The Limit of a Function,Calculating Limits Using the Limit Laws,. 3 4 domain and range of functions, hyperbolic and inverse hyperbolic functions

3 5

Limits at Infinity, Horizontal Asymptotes ,Derivatives and Rates of Change , The

Derivative as a Function 3

6

The Chain Rule ,The Product and Quotient Rules ,Derivatives of polynomial

,Exponential and Logarithmic Functions 3

7 Derivatives of Trigonometric and Inverse Trigonometric Functions 3 8 hyperbolic and inverse hyperbolic functions. Implicit Differentiation 3

9 Higher Order Derivatives ,. Intermediate Forms and 3

10 L’Hospital Rule, Rates of Change in the Sciences. 3

11 local extrema, concavity, horizontal and vertical asymptotes

3 12 graphing curves, applications of extrema, related rates

3 13 Rolle’s theorem ,mean value theorem ,

3

14 Taylor and maclorine series in one variable 3

(11)

15 Revision 3

Total 45

D. Teaching and Assessment

1. Alignment of Course Learning Outcomes with Teaching Strategies and Assessment Methods

Code Course Learning Outcomes Teaching Strategies Assessment Methods 1.0 Knowledge and Understanding

1.1

Tell about characteristics and Differential Calculus

Lectures Office hours Discussion Boards

Home works &

quizzes and assessment 1.2

Define the most important applications of Differential Calculus.

discussion

1.3

2.0 Skills 2.1

2.2

Explains different theories, and Applications of Differentiation

Solve problems accurately

Exercise and use of references

Midterm Exams, final exams 2.3

3.0 Values 3.1

Use a method of discussing problems scientifically by asking questions and answering them.

Exams 3.2

3.3

2. Assessment Tasks for Students

1 written test 5 5%

2 written test Midterm 8 20%

3 Assignment Problem 9 10%

4 Quizzes 3 10%

5 Quizzes 6 5%

6 Final exam 16 40%

7 Homeworks 7 10%

8

*Assessment task (i.e., written test, oral test, oral presentation, group project, essay, etc.)

E. Student Academic Counseling and Support

Arrangements for availability of faculty and teaching staff for individual student consultations and academic advice :

4 hr / week office hours , 6hr/week guidance hours

(12)

6 F. Learning Resources and Facilities 1.Learning Resources

Required Textbooks

J. Stewart ,”Calculus: Early Transcendentals”, Brooks/cole, cengage Learning, 2012.

ISBN-13: 978-0-538-49790-9 Essential References

Materials S. Lang “A First Course in Calculus” 3th edition Springer Verlag 1986

Electronic Materials

www.googe.come www.youtube.com

https://www.sciencedirect.com

https://en.wikipedia.org/wiki/Main_Page Other Learning

Materials --

2. Facilities Required

Accommodation

Classroom

(AV, data show, Smart Board, software, etc.) None

attach a list)

None

G. Course Quality Evaluation

Evaluation

assessment ^Faculty ^Direct

H. Specification Approval Data

Council / Committee Reference No.

(13)

Date

(14)

Course Title:

Real Analysis -1-

Course Code:

^MTH211

Program: B. Sc. Mathematics Department: Mathematics College: Science

Institution: Jouf University

(15)

Table of Contents

(16)

3

a. University College Department √ ^Others

b. Required √ ^Elective

3. Level/year at which this course is offered: 4^th level.

4. Pre-requisites for this course (if any): Basic of Mathematics MTH231

6. Mode of Instruction (mark all that apply)

No

Mode of Instruction

5 Other

7. Contact Hours (based on academic semester)

1 Lecture 2

3 Tutorial 2

Total 4

B. Course Objectives and Learning Outcomes 1. Course Description

Basic Properties of the field of real numbers- completeness axiom, Sequences and their convergence- monotone sequence, monotone sequence -Cauchy criterion, Basic topological properties of the real numbers, Limit of a function , continuous functions and their properties- Uniform continuity , compact sets and its properties. The derivative of a function, Mean value theorem. L'Hospital rule-Taylor theorem.

To make the Students aware of the mathematical counting concepts, which will be further applicable in their stream studies.

(17)

3. Course Learning Outcomes

1.1 Basic Properties of the field of real numbers- completeness axiom K1 2 Skills:

2.1 Dealing with most bases mathematical problems.

S2

2.2 Interactive discussions with students in the class. S5

3 Values:

3.1 Use a method of discussing problems scientifically by asking questions and answering

them V3

3.2 Tests his self-confidence by doing homework V3

C. Course Content

Hours 1 Basic Properties of the field of real numbers- completeness axiom 8 2 Sequences and their convergence-monotone sequence monotone sequence -Cauchy

criterion 8

3 Basic topologyical properties of the real numbers 8

4 Limit of a function, continuous functions and their properties- Uniform continuity 8

5 Compact sets and its properties. 8

6 The derivative of a function 12

7 Mean value theorem. L'Hospital rule-Taylor theorem. 8

Total 60

1. Alignment of Course Learning Outcomes with Teaching Strategies and Assessment Methods

Code Course Learning Outcomes TeachingStrategies AssessmentMethods 1.0 Knowledge and Understanding

1.1 Demonstrate basic concepts, theorems, and principles in real analysis.

- Lectures

- Quizzes Assignments Midterm exam Final Exam 2.0 Skills

2.1

Develop critical thinking methods and mathematical reasoning to solve problems in real analysis and draw correct conclusions

- Lectures

- Problem solving and decision making - Flipped class rooms

- Quizzes Assignments Midterm exam Final Exam

2.2

Research about the impact of the

application of real analysis in - Flipped class rooms Class Discussion

(18)

5

Code Course Learning Outcomes TeachingStrategies AssessmentMethods and societal contexts.

3.0 Values 3.1

Work effectively in teams to establish goals, plan tasks to meet deadlines

- Working in groups - Presentations 3.2 Tests his self-confidence by doing homework

2. Assessment Tasks for Students

1 Assignments & Homework&Quizzes Weekly 10%

2 Participations during the course Weekly 5%

3 Midterm exams(First & Second) 6&12 20%

4 Oral Examination 14 5 %

5 Final Exam 16 60%

*Assessment task (i.e., written test, oral test, oral presentation, group project, essay, etc.) E. Student Academic Counseling and Support

The weekly office hours, academic counseling and support hours are available to each student through Blackboard.

The ways of contact are available through Blackboard and meetings in the department as well.

F. Learning Resources and Facilities

1.Learning Resources

Introduction to real Analysis(Third edition) Robert G.Bartle and Onald R.Sherbert

Essential References Materials

1.

uction to Real Analysis, Volume I

,

by Jirí Lebl ˇ June 10, 2020 (https://www.jirka.org/ra/realanal.pdf)

.

www.googe.com www.youtube.com

Materials --

2. Facilities Required

Accommodation

Classroom

(19)

Item Resources Technology Resources

(AV, data show, Smart Board, software, etc.) Smart Board

attach a list)

Blackboard

G. Course Quality Evaluation Evaluation

Extent of achievement of course

learning outcomes Program Leaders Direct

assessment ^Students Indirect

Quality of learning resources Students Indirect

Course content Peer Reviewer Direct

H. Specification Approval Data Council / Committee

Reference No.

Date

(20)

Course Title: Integral Calculus Course Code:

^{MTH 203}

Program: B. Sc. Mathematics Department: Mathematics College: Science

Institution: Jouf University

(21)

3 A. Course Identification

1. Credit hours: 3(2+1) 2. Course type

a. ^University ^College ^Department √ ^Others

Third

4. Pre-requisites for this course (if any): Differential Calculus MTH 102

5. Co-requisites for this course (if any): --

6. Mode of Instruction (mark all that apply)

No

Mode of Instruction

1 Traditional classroom 3 100%

5 Other

7. Contact Hours (based on academic semester)

1 Lecture 30

3 Tutorial 30

4 Others (specify) 0

Total 60

B. Course Objectives and Learning Outcomes 1. Course Description

The definite integral, fundamental theorem of calculus, the indefinite integral, changes of variable, integration of trigonometric and inverse trigonometric functions. Integration of the hyperbolic and inverse hyperbolic functions. Techniques of integration: substitution, by parts, trigonometric substitutions, partial fractions, indeterminate forms, improper integrals, numerical integration. Application of definite integral: Area, volume of revolution, work, arc length. Polar coordinates.

1- An ability to understand the definite and indefinite integrals.

2- Apply integration to find the area between to curves, volumes, arc length and surface area of the solid of revolution.

(23)

3- Integrate various types of functions: logarithmic, exponential trigonometric, inverse trigonometric, hyperbolic functions and inverse hyperbolic functions.

4- Use various integration methods such as integration by parts, by trigonometric substitution, partial fractions to integrate various types of function.

5- Evaluate numerical integration and improper integrals.

6- Evaluate tangent lines and arc lengths for parametric and polar curves.

3. Course Learning Outcomes

1.1 Identify The Definite Rules Properties and Notation, example and exercise.

Change of Variables in Indefinite Integral Summation Notation, example and exercise.

1.1 1.2 Demonstrate between Indefinite Integral and Definite Integral and its

Applications in Engineering College.

1.2 2 Skills :

2.1 Distinguish the basic Concept of Integration, Differentiation. 2.2 2.2 Perform appropriate solutions for engineering problems based on

analytical thinking.

2.3 3 Values:

3.1 Illustrate how take up responsibility. 3.1

3.2 Assess the skills to practice team work and present results. 3.2

C. Course Content

Hours 1

 The Definite Rules Properties and Notation, example and exercise.

 The definite integral, fundamental theorem of calculus.

 Change of Variables in Indefinite Integral Summation Notation, example and exercise.

8

2 ^ Integration of Trigonometric and Inverse Trigonometric functions, Definition, theorem and examples.

8 3 ^ Integration of Hyperbolic functions and Inverse Hyperbolic functions 8 4

 Techniques of Integrations: substitution, by parts, their rules and examples.

 Techniques of Integrations, reduction formula of sin, cosine, tan, secant, cot and cosec.

8

5

 Guidelines for evaluating even and odd integers, Trigonometric substitutions expression Integrand.

 Integrals of partial fractions, Guidelines for partial fractions. Properties and related examples and solved exercises.

8

6 ^ Indeterminate forms, Improper integrals, Polar Coordinates, related examples. numerical integration

4

7

 The Definite Integral, Definition, Partition of Interval, subinterval and norm of partition.

 Applications of the Definite Integral- Area, Volume of revolution, work, arc length Related definitions and questions

12

Total 60

(24)

5 D. Teaching and Assessment

1. Alignment of Course Learning Outcomes with Teaching Strategies and Assessment Methods

1.1

Identify The Definite Rules Properties and Notation, example and exercise. Change of Variables in Indefinite Integral Summation Notation, example and exercise.

Midterm 1 Quiz 1 Final Exam

1.2

Demonstrate between Indefinite Integral and Definite Integral and its Applications in Engineering College.

Quiz 1 Homework Final Exam 2.0 Skills

2.1

Distinguish the basic Concept of Integration, Differentiation.

Lectures Office hours Discussion Boards

Midterm 1 Final Exam 2.2

Perform appropriate solutions for engineering problems based on analytical thinking.

Quiz 1 Quiz 2 Final Exam 3.0 Values

3.1 Illustrate how take up responsibility.

Midterm 2 Homework

3.2 Assess the skills to practice team work and present results.

Assignment Class Discussion

2. Assessment Tasks for Students

1 Midterms 8-12 20%

2 Quizzes - class discussion 4 -11 10%

3 Final exam 16 60%

4 Homework’s 3- 7 10%

E. Student Academic Counseling and Support

4 hr / week office hours , 6hr/week guidance hours.

(25)

F. Learning Resources and Facilities 1.Learning Resources

J. Stewart ,”Calculus: Early Transcendentals”, Brooks/cole, cengage Learning, 2012.

ISBN-13: 978-0-538-49790-9 Essential References

Materials S. Lang “A First Course in Calculus” 5th edition Springer Verlag 1986.

Materials --

2. Facilities Required

Accommodation

Classroom

attach a list)

None

G. Course Quality Evaluation

Evaluation

H. Specification Approval Data

Date

(26)

Course Title:

Basics of Mathematics

Course Code:

^{MTH 231}

Program:

B. Sc. Mathematics

Department:

Mathematics

College:

^Science

Institution:

Jouf University

(27)

3 A. Course Identification

1. Credit hours:

2. Course type

Third

4. Pre-requisites for this course (if any): Differential Calculus, MTH 102

5. Co-requisites for this course (if any):

6. Mode of Instruction (mark all that apply)

No

Mode of Instruction

1 Traditional classroom 2 Blended

3 E-learning

4 Distance learning 3 100%

5 Other

7. Contact Hours (based on academic semester)

1 Lecture 2

3 Tutorial 2

Total 3

B. Course Objectives and Learning Outcomes 1. Course Description

Introduction to Mathematical Logic- Methods of proofs- Mathematical induction- Set theory- The product of a sets- Binary operations- Equivalence relations - Equivalence classes and partitions – Mappings -The images and inverse images of a sets under mappings - Equivalence sets- Countable and finite sets - Morphisms- Definition and examples of groups- Definition and examples of rings and fields- Polynomials-Partial fractions.

1. Recognizes student about mathematical logic and methods of proof.

2. Recognizes student about groups and operations.

3. Recognizes student the binary relations and mappings and their characteristics.

4. Recognizes student the equivalence of groups and countable groups.

5. Recognizes student about the binary operations, the group, the ring and the field.

(29)

3. Course Learning Outcomes

1.1 Demonstrate deep, wide, consistent and advanced understanding to the basic definitions of logical equivalence, quantifiers, the Contra positive of a conditional statement, the power set, set operations, Cartesian product, binary relation, equivalence relation, equivalence classes, partitions, mappings (functions), injections, surjections, bijections, composition, equivalence of sets, finite sets, countable sets, inverse mappings (functions), binary operations, algebraic systems and their homomorphisms, groups, rings and fields.

1.2 1.3 1.4

2 Skills :

2.1 Apply basic definitions, axioms, principles, theories to produce the proofs and solutions of logical equivalence, set operations, equivalence relations, equivalence classes, partitions, mappings (functions), injections, surjections, bijections, composition, equivalence of sets, finite sets, countable sets, inverse mappings (functions), binary operations, algebraic systems and their homomorphisms, groups, rings and fields.

2.2 Solve complex and unanticipated mathematical problems in logical equivalence, set operations, equivalence relations, mappings (functions), groups, rings and fields.

2.3 2.4

3 Values:

3.1 Work effectively both individually, as part of a team and as a team leader to establish goals, plan tasks, meet deadlines, analyze risk and uncertainty and showing self- confidence and ability to take responsibility.

3.2 3.3 3.4

C. Course Content

Hours

1 Introduction to Mathematical Logic 3

2 Methods of proofs. 3

3 Mathematical induction 3

4 Sets theory, the product of sets. 3

5 Binary oprations.

3

6 Equivalence relations, equivalence classes and partitions. 3

7 Mappings, the image and inverse image under mapping. 3

8 Equivalence sets. 3

9 Countable and finite sets 3

10 Morphisms. 3

11 Definitions and examples of groups. 3

12 Polynomials: operations on polynomials and its roots.

3

(30)

5

13 Decomposition of polynomials. 3

14 Partials Fractions: operations, poles and decomposition.

3

15 Definitions and examples of groups. 3

Total 45

D. Teaching and Assessment

1. Alignment of Course Learning Outcomes with Teaching Strategies and Assessment Methods

Code Course Learning Outcomes Teaching

Strategies Assessment Methods 1.0 Knowledge and Understanding

1.1

Demonstrate deep, wide, consistent and advanced understanding to the basic definitions of logical equivalence, quantifiers, the Contra positive of a conditional statement, the power set, set operations, Cartesian product, binary relation, equivalence relation, equivalence classes, partitions, mappings (functions), injections, surjections, bijections, composition, equivalence of sets, finite sets, countable sets, inverse mappings (functions), binary operations, algebraic systems and their

homomorphisms, groups, rings and fields.

- Lectures - Problem-solving strategy.

-Quizzes, -Midterm exams - Assignments

1.2 1.3

2.0 Skills

2.1

Apply basic definitions, axioms, principles, theories to produce the proofs and solutions of logical equivalence, set operations, equivalence relations, equivalence classes, partitions, mappings (functions), injections, surjections, bijections, composition, equivalence of sets, finite sets, countable sets, inverse mappings (functions), binary operations, algebraic systems and their homomorphisms, groups, rings and fields.

-Quizzes, -Midterm exams -Final exams

2.2

Solve complex and unanticipated mathematical problems in logical equivalence, set operations, equivalence relations, mappings (functions), groups, rings and fields.

-Assignments.

-Final exams

2.3

3.0 Values 3.1

Work effectively both individually, as part of a team and as a team leader to establish goals, plan tasks, meet deadlines, analyze risk and uncertainty and showing self-confidence and ability to take responsibility.

Students’

discussions, Group work, Co-operation s

Class discussion

3.2 3.3

(31)

2. Assessment Tasks for Students

1 Quizzes From 2^nd week 10%

2 Assignments Agreement in (4-15) ^th week 20%

3 Class discussion From 2^nd week 10%

4 Midterm Exam 7^thweek – 9^th week 20%

5 Final Exam After 15^th week 40%

E. Student Academic Counseling and Support

F. Learning Resources and Facilities 1.Learning Resources

R. A. Dean : Classical Abstract Algebra , Harper and Row. Inc., 1990 .

D. Saracino : Abstract Algebra, A first Course, Addison Wesley , 1980 .

www.google.come www.youtube.com

Materials --

2. Facilities Required

Accommodation

Classroom

(32)

7

attach a list)

None

G. Course Quality Evaluation

Evaluation

H. Specification Approval Data

Date

(33)

Course Title: General Statistics Course Code:

^{MTH 271}

Program: B. Sc. Mathematics Department: Mathematics College: Science

Institution: Jouf University

(34)

2 A. Course Identification

1. Credit hours: 3(2+1) 2. Course type

Third

4. Pre-requisites for this course (if any): General Statistics MTH 271

5. Co-requisites for this course (if any): --

1 Traditional classroom 3 100%

5 Other

1 Lecture 30

3 Tutorial 30

4 Others (specify) 0

Total 60

B. Course Objectives and Learning Outcomes

1. Course Description

Introduction and overview of statistics and the definition of some statistical concepts – Organization and presentation of statistical data - Measures of central tendency (Mean, Median, Mode, …) of the simple data and the frequency distribution - Measures of dispersion (The Range – The Mean Deviation – The Variance and the standard deviation - Coefficient of variation of the simple data and the frequency distribution – Sets and the operations on sets - Sample space and Events - Counting Techniques (Fundamental basics, Addition Rule – Multiplication Rule- Permutation and Combinations) - Definition of the probability and its applications – Conditional probability - Independence of events and Bayes theorem and its applications - Definition of therandom variable- The probability function (The probability Distribution)- The Expectation and the variance of the random variable (Discrete and Continuous) .

(36)

4

2- Measures of central tendency (Mean, Median, Mode, …) of the simple data and the frequency distribution

3- Measures of dispersion (The Range – The Mean Deviation – The Variance and the standard deviation - Coefficient of variation of the simple data and the frequency distribution – Sets and the operations on sets –

4- An ability to understand Sample space and Events - Counting Techniques (Fundamental basics, Addition Rule – Multiplication Rule- Permutation and Combinations) - Definition of the probability and its applications – Conditional probability - Independence of events and Bayes theorem and its applications - Definition of therandom variable- The probability function

5. An ability to understand the Expectation and the variance of the random variable (Discrete and Continuous) .

1.1

Tell about statistics and how to organize and display statistical data

1.1

1.2 Define the probability and list its general laws 1.2

2 Skills :

2.1 Compares various statistical methods 2.2

2.2 Summarizes and analyzes many statistical and probabilistic problems 2.3 3 Values:

3.1 Use a method of discussing problems scientifically by asking questions and answering them.

3.1

3.2 Tests his self-confidence by doing homework. 3.2

4 Communication, Information Technology, Numerical:

4.1 Calculate the results using IT 4.1

4.2 Explains and compares computational results. 4.2

C. Course Content

Hours 1

 Introduction and overview of statistics and the definition of some statistical concepts

 Organization and presentation of statistical data

8

2 ^ Measures of central tendency (Mean, Median, Mode, …) of the simple data and the frequency distribution.

8

3

 Measures of dispersion (The Range - The Mean Deviation. The Variance and the standard deviation.

 Coefficient of variation of the simple data and the frequency distribution

8

4

 Definition of the probability and its applications – Conditional probability

 The probability function (The probability distribution of a discrete random variable)

 The expectation and variance of the random variable.

 Sampling c of mean

 Sampling distribution of sample variance

8

(37)

5

 T sampling distribution

 F sampling distribution

 Central limit theorem

8

6 ^ Estimating the mean of the single sample and one proportion

 Estimating the difference between two means of the two sample

4

7

 Test hypotheses about the mean of the single sample and one proportion

 Tests hypotheses about the difference between two means of the two sample.

 Correlation (Person and Sperman)

12

Total 60

D. Teaching and Assessment

1. Alignment of Course Learning Outcomes with Teaching Strategies and Assessment Methods

1.1

Tell about statistics and how to organize

and display statistical data ^LecturesOffice hours Discussion Boards

Midterm 1 Quiz 1 Final Exam

1.2

Define the probability and list its general laws .

Quiz 1 Homework Final Exam 2.0 Skills

2.1

Compares various statistical methods. Lectures Office hours Discussion Boards

Midterm 1 Final Exam 2.2

Summarizes and analyzes many statistical and probabilistic problems

Quiz 1 Quiz 2 Final Exam 3.0 Values

3.1

Use a method of discussing problems scientifically by asking questions and answering them.

Midterm 2 Homework

3.2

Tests his self-confidence by doing homework.

4 Communication, Information

Technology, Numerical:

4.1 Calculate the results using IT Solve problems accurately

Midterm 2 Homework 4.2 Explains and compares computational

results.

Lectures Office hours

Discussion Boards

(38)

6

2. Assessment Tasks for Students

1 Midterms 8-12 20%

2 Quizzes - class discussion 4 -11 10%

3 Final exam 16 60%

4 Homework’s 3- 7 10%

E. Student Academic Counseling and Support

4 hr / week office hours , 6hr/week guidance hours.

F. Learning Resources and Facilities

1.Learning Resources

Required Textbooks Prem S. Mann, Introductory Statistics, 9th Edition.John Wiley and sons, Inc., 2016. ISBN 978-1-119-14832-6

Prem S. Mann, Introductory Statistics, 9th Edition.John Wiley and sons, Inc., 2016. ISBN 978-1-119-14832-6

Materials --

2. Facilities Required

Accommodation

Classroom

attach a list)

None

G. Course Quality Evaluation

Evaluation

Effectiveness of teaching and Faculty Direct

(39)

Evaluation

assessment

H. Specification Approval Data

Date

(40)

Course Title: Advanced Calculus Course Code:

^MTH204

Program: B. Sc. Mathematics Department: Mathematics College: Science

Institution: Jouf University

(41)

Table of Contents

(42)

3

a. University College Department √ ^Others

3. Level/year at which this course is offered: 4^th level.

4. Pre-requisites for this course (if any): Integral calculus MTH203

5 Other

1 Lecture 2

3 Tutorial 2

Total 4

B. Course Objectives and Learning Outcomes 1. Course Description

Cylindrical and spherical coordinates. Partial derivatives: Functions of several variables. Limits and continuity. Partial derivatives. Tangent planes and linear approximations. The chain rule. Directional derivatives and the gradient vector. Maximum and minimum values.Lagrange multiplies. Multiple integrals: Double integrals over rectangles.Iterated integrals. Double integrals over general regions.

Double integrals in polar coordinates. Application of double integrals. Surface Area. Triple integrals.

Triple integrals in cylindrical and spherical coordinates. Change of variables in multiple integrals

To make the Students aware of the mathematical counting concepts, which will be further applicable in their stream studies.

(43)

1.1 Basic Properties of the field K1

2 Skills:

2.1 Dealing with most bases mathematical problems.

S2

2.2 Interactive discussions with students in the class. S5

3 Values:

3.1 Use a method of discussing problems scientifically by asking questions and answering

them V3

3.2 Tests his self-confidence by doing homework V3

C. Course Content

Hours

1 Function of two or more variables and its domain ⁴

2 Limits-Continuity. 4

3 Partial derivatives-Higher order partial derivatives- Total derivative ⁶

4 Chain rule - Harmonic functions – Homogenous functions ⁴

5 Euler's theorem for homogenous functions – Jacobian ⁴

6 Maxima and minima-Method of Lagrange multipliers for maxima and minima

6 7 Taylor's and Maclaurin's series for functions of two variables 4 8 Double integrals in Cartesian and Polar coordinates and applications 4

9 Double integrals in Cartesian and Polar coordinates 4

10 Double integrals in Cartesian and Polar coordinates and applications 4 11 Triple integrals in spherical and cylindrical coordinates and applications 4 12 Triple integrals in spherical and cylindrical coordinates and applications 4 13 Triple integrals in spherical and cylindrical coordinates and applications 4 14 Line integral – Green's theorem in a plan – Improper integrals 4

Total 60

1. Alignment of Course Learning Outcomes with Teaching Strategies and Assessment Methods

Code Course Learning Outcomes TeachingStrategies AssessmentMethods 1.0 Knowledge and Understanding

1.1 Demonstrate basic concepts, theorems, and principles in real analysis.

- Lectures

- Quizzes Assignments