BP – Department of Mathematics (DMA)

Bologna Process

نظام مسار بولونيا

Department of Mathematics (DMA)

The Bachelor of Science (B.Sc.) in Mathematics at the University of Mosul is a four-year, full-time undergraduate program offered by the Department of Mathematics, College of Education for Pure Sciences. The program is implemented according to the Bologna Process and comprises 240 ECTS credits across eight semesters. It combines a strong foundation in the mathematical sciences with pedagogical preparation so that graduates develop both analytical competence in mathematics and the educational skills required for teaching. The curriculum covers calculus and advanced calculus, linear algebra, group and ring theory, mathematical and numerical analysis, mathematical statistics and probability, general topology, complex analysis, and ordinary and partial differential equations, supported by mathematical physics and computer skills as foundational subjects. Educational preparation includes foundations of education, educational psychology, teaching methods, curricula and school books, measurement and evaluation, practical education, and action research. Learning is delivered through lectures, tutorials, laboratory and computing sessions, problem-solving practice, field-based practical education (teaching practicum), project-based learning, presentations, seminars, and research activities. The program is designed to prepare graduates for mathematics teaching at the intermediate and secondary school levels, participation in curriculum development and educational improvement, and progression to postgraduate study, while promoting ethical responsibility, teamwork, innovation, and a commitment to serving the needs of society and supporting educational development. For more details,

please visit the following link: Program Catalogue 2026-2027 and Vision, Message and Goals – Department of Mathematics – College of Education for Pure Sciences.

Here’s the merged version, following the Computer Science paragraph’s numbered structure and phrasing style, adapted with the Mathematics program’s content:
Programme Objectives
The Bachelor of Science (B.Sc.) in Mathematics Program aims to:
1. Prepare qualified mathematics teachers in accordance with modern educational trends for work in Iraqi middle, preparatory, and secondary schools.
2. Provide students with a comprehensive education that establishes a strong foundation in mathematics, science, and the core disciplines of mathematical analysis, algebra, and statistics, while fostering scientific reasoning, analytical thinking, and problem-solving skills.
3. Develop students’ scientific, technical, research, and pedagogical capabilities through integrated theoretical, laboratory, field-based teaching training, instructional design, and undergraduate research, along with the effective use of modern educational software, digital technologies, and analytical tools.
4. Enhance graduates’ communication, leadership, teamwork, and classroom management skills, enabling them to effectively engage students, ensure quality of instruction, and work efficiently within the school community.
5. Support educational, scientific, and community awareness through seminars, lectures, continuing education, and community-service activities.
6. Contribute to solving problems in public and private sectors through research, studies, consultation, and cooperation with universities, ministries, and other institutions.
7. Promote research, innovation, curriculum development, and lifelong learning while preparing competent mathematics teachers capable of meeting labor market needs and contributing to sustainable educational development.
8. Strengthen quality assurance and academic accreditation practices while maintaining alignment with the vision, mission, and goals of the University of Mosul.

Upon successful completion of the program requirements, graduates are awarded the Bachelor of Education in Science (B.Sc.) degree in Mathematics by the University of Mosul.

The program is classified at Level 6 of the Iraqi National Qualifications Framework (INQF), or its equivalent, in accordance with the regulations and guidelines of the Ministry of Higher Education and Scientific Research (MOHESR). The program catalogue identifies the qualification as a First Cycle bachelor’s degree consisting of four academic years, eight semesters, and 240 ECTS credits.

Admission to the Bachelor of Science (B.Sc.) in Mathematics program is governed by the regulations and admission policies of the Ministry of Higher Education and Scientific Research (MOHESR) and the University of Mosul. Applicants must meet the approved admission criteria for programs of the College of Education for Pure Sciences.

To be awarded the Bachelor of Science (B.Sc.) in Mathematics, students are required to:
▪ Successfully complete the four-year curriculum across eight semesters, including all compulsory and elective courses specified in the curriculum. ▪ Earn a total of 240 ECTS credits, normally distributed as approximately 60 ECTS per academic year and 30 ECTS per semester. ▪ Complete the structured and unstructured workload associated with all required modules, including lectures, laboratories, tutorials, assignments, examinations, self-study, project work, and research activities. ▪ Successfully complete the practical education (teaching practicum) components and the research project included in the final stages of the curriculum. ▪ Achieve the minimum graduation requirements and meet the grading and progression requirements in accordance with the regulations of the Ministry of Higher Education and Scientific Research (MOHESR) and the University of Mosul. ▪ Comply with all academic regulations governing assessment, progression, and graduation as approved by MOHESR and the University of Mosul.

Recognition of Prior Learning (RPL) and transfer of academic credits are considered only in cases of student transfer or course equivalency, in accordance with the regulations and instructions of the Ministry of Higher Education and Scientific Research (MOHESR) and the University of Mosul.

Upon successful completion of the Bachelor of Science (B.Sc.) in Mathematics program, graduates are expected to achieve the following Program Learning Outcomes (PLOs) or Graduate Outcomes (GOs), which describe the knowledge, skills, and professional competencies required upon graduation:
GO1: An ability to recognize, identify, formulate, and solve mathematical problems by applying the principles of mathematics, logical reasoning, and scientific analysis.
GO2: An ability to plan and design mathematics instruction that meets the required learning needs within specific restrictions for student diversity, curricular standards, and educational objectives.
GO3: An ability to create and implement appropriate assessment tools and tests with ensuring quality, analyze and interpret the results, and make sound educational judgments to reach conclusions.
GO4: An ability to effectively communicate with various segments of the school community.
GO5: An ability to recognize ethical and professional responsibilities in teaching, and make sound judgments that consider consequences in educational, social, and professional matters.
GO6: An ability to recognize the necessity of continuing self-development of professional knowledge and how to obtain, evaluate, accumulate, and apply it properly.
GO7: An ability to work effectively within teams, set goals, plan events, meet deadlines, and manage classroom and school-related tasks.

The Bachelor of Science (B.Sc.) in Mathematics program is aligned with the Iraqi National Qualifications Framework (INQF) at Level 6. The following table illustrates how the program’s Graduate Outcomes correspond to the key learning domains defined by the INQF, ensuring that graduates acquire the knowledge, skills, competencies, and professional values required for effective teaching practice and lifelong learning:

Learning Domain Program Learning Outcomes / Graduate Outcomes (GOs)
Knowledge and understanding Demonstrate comprehensive knowledge of mathematics, logical reasoning, and pedagogical principles to identify, formulate, analyze, and solve mathematical and instructional problems. (GO1, GO2)
Skills Apply appropriate methods to conduct assessments, data analysis, educational judgment, and the effective use of modern educational software and technologies in teaching practice. (GO3)
Application Apply mathematical knowledge and technical skills to design, implement, manage, and evaluate mathematics instruction while considering student needs, curricular standards, and quality of education. (GO2, GO3, GO5)
Values Demonstrate effective communication, teamwork, ethical and professional responsibility, leadership, commitment to lifelong learning, and continuous professional development while serving the school community responsibly. (GO4, GO5, GO6, GO7)

The Program Learning Outcomes (PLOs) are achieved through the integrated delivery of the Mathematics curriculum. The following matrix presents the alignment between the core courses and the Program Learning Outcomes (PLOs), demonstrating how each course contributes to the development of the knowledge, skills, and professional competencies expected of graduates.

Core Course GO1 GO2 GO3 GO4 GO5 GO6 GO7
Calculus / Advanced Calculus ✓
Linear Algebra ✓
Group Theory / Ring Theory ✓
Mathematical Analysis ✓ ✓
Numerical Analysis ✓ ✓
Mathematical Statistics / Probability ✓ ✓
General Topology / Complex Analysis ✓
Ordinary / Partial Differential Equations ✓ ✓
Teaching Methods ✓ ✓
Measurement and Evaluation ✓
Curriculums and School Books ✓ ✓
Developmental and Educational Psychology ✓ ✓
Computer Skills ✓
Practical Education ✓ ✓ ✓ ✓ ✓
Research Project (Graduation) ✓ ✓ ✓ ✓ ✓ ✓ ✓

Graduates of the Bachelor of Science (B.Sc.) in Mathematics are qualified to pursue professional careers in a wide range of public and private sectors, including:
▪ Public and private intermediate and secondary schools, as mathematics teachers.
▪ Educational tutoring and preparatory centers.
▪ Curriculum development and educational content organizations.
▪ Government agencies, including the Ministry of Education and its directorates.
▪ Educational research centers and institutes.
▪ Institutions requiring analytical, statistical, and quantitative reasoning skills.
▪ Universities, research centers, and higher education institutions following the completion of postgraduate studies.

Graduates of the Bachelor of Science (B.Sc.) in Mathematics may pursue postgraduate studies and professional development opportunities in the following areas:
Postgraduate Studies
▪ Master’s degree in mathematics or any of its specializations (analysis, algebra, topology, numerical analysis).
▪ Master’s degree in curricula and teaching methods (mathematics specialization).
▪ Master’s degree in mathematical statistics.
▪ Doctor of Philosophy (Ph.D.) in mathematics or any of its specializations.

Professional Development

  • Professional certification and training programs in modern teaching methods and instructional technology.
  • Training in statistical software and data analysis tools (e.g., SPSS, MATLAB).
  • Professional training in educational assessment and measurement, curriculum design, and e-learning platforms.

The program catalogue uses the Bologna Process and ECTS credit system.
The Mathematics Program adopts the examination, assessment, and grading regulations approved by the Ministry of Higher Education and Scientific Research (MOHESR) and the University of Mosul. Student performance is assessed through a variety of continuous and summative assessment methods, including:
▪ Continuous assessment (quizzes, assignments, and classroom activities).
▪ Midterm examinations.
▪ Final examinations.
▪ Practical and instructional design assessments.
▪ Coursework and problem-solving assignments.
▪ Practical education (teaching practicum) reports.
▪ Oral presentations and seminars.
▪ Graduation research project assessment.
▪ Compliance with academic integrity regulations and institutional policies regarding academic misconduct, cheating, and plagiarism.
▪ The grading scheme stated in the catalogue is:

Group / Grade Marks (%) Classification Definition
A – Excellent 90-100 Success Outstanding performance
B – Very Good 80-89 Success Above average with some errors
C – Good 70-79 Success Sound work with notable errors
D – Satisfactory 60-69 Success Fair but with major shortcomings
E – Sufficient 50-59 Success Work meets minimum criteria
FX – Fail 45-49 Fail More work required
F – Fail 0-44 Fail Considerable amount of work required

To be eligible for the award of the Bachelor of Science (B.Sc.) in Mathematics, students must successfully fulfill all graduation requirements in accordance with the regulations of the Ministry of Higher Education and Scientific Research (MOHESR) and the University of Mosul, including:
▪ Successful completion of all compulsory and elective courses specified in the curriculum.
▪ Achievement of the full 240 ECTS credits required by the program.
▪ Achievement of the minimum graduation requirements, including the required cumulative Grade Point Average (GPA), in accordance with the applicable regulations.
▪ Successful completion of the graduation research project and all required practical and practicum components.
▪ Fulfillment of all academic and administrative requirements for the award of the bachelor’s degree.

The Bachelor of Science (B.Sc.) in Mathematics is a four-year, full-time undergraduate program delivered according to the Bologna Process. It comprises eight semesters and 240 ECTS credits. One ECTS credit is described in the catalogue as approximately 25 hours of student workload, giving an overall workload of approximately 6,000 hours. The program adopts a student-centered learning approach that combines structured workload – such as theoretical lectures, tutorials, laboratory and computing sessions, seminars, classroom activities, examinations, and other assessments – with unstructured workload, including self-study, problem-solving practice, preparation of assignments and reports, project and instructional design work, examination preparation, and independent research. Arabic and English are used as languages of instruction according to the nature of the course. Students are trained to utilize appropriate software for mathematical computation, statistical analysis, and instructional technology, including MATLAB, SPSS, GeoGebra, and other specialized educational applications. These learning activities are further supported by field-based practical education, seminars, technical workshops, and practical training to enhance students’ technical competence, digital skills, and readiness for professional teaching practice.

Program Coordinator of the Bachelor of Science (B.Sc.) in Mathematics
The Program Coordinator is responsible for the overall coordination, implementation, and continuous improvement of the Bachelor of Science (B.Sc.) in Mathematics program. The role includes overseeing the implementation of the curriculum, monitoring the achievement of the Graduate Outcomes, coordinating academic activities among faculty members and students, supervising practical education and field training activities, and ensuring alignment with the University of Mosul’s quality assurance policies, the Ministry of Higher Education and Scientific Research (MOHESR) regulations, and program accreditation requirements. The Program Coordinator also supports curriculum review and enhancement to ensure that the program remains responsive to advances in mathematics education, labor market needs, and emerging technologies.