Research interests are primarily centered on the applications, development, and comparative analysis of numerical methods in solving mathematical and scientific problems. Particular attention is given to the study of analytical and statistical techniques used to evaluate the accuracy, stability, and efficiency of numerical algorithms in obtaining approximate solutions. These research activities emphasize the integration of theoretical mathematics with computational applications to address complex problems in applied sciences and engineering.

Additional academic interests include numerical analysis, ordinary differential equations, applied statistics, and mathematical modeling. Research work also focuses on the implementation of modern computational tools and programming techniques to improve the reliability and effectiveness of mathematical solutions. Through continuous scholarly engagement, the research aims to contribute to the advancement of applied and computational mathematics while promoting interdisciplinary scientific collaboration.

Teaching experience spans several years of academic service in higher education. Academic duties began at the College of Basic Education at University of Mosul during the period 2000–2002, followed by continued teaching and academic activities at University of Duhok since 2012. Throughout this period, a variety of undergraduate courses in mathematics and academic studies have been taught, including Calculus, Advanced Calculus, Foundations of Mathematics, Analytical Geometry, and Academic Debate.

Teaching activities have focused on combining theoretical instruction with practical applications in order to strengthen students’ analytical thinking, mathematical reasoning, and problem-solving abilities. In addition to classroom instruction, supervision of student observation and practical training in schools across Duhok Governorate formed an important component of the educational experience. These activities contributed to developing effective teaching methodologies, enhancing communication skills, and fostering an engaging academic environment that supports intellectual growth and academic excellence.

Academic supervision has represented an important dimension of scholarly and educational activities at University of Duhok, particularly within the College of Basic Education, Department of Mathematics. Several undergraduate research projects in theoretical and applied mathematics have been supervised, covering diverse mathematical topics and practical applications.

The supervision process emphasized guiding students toward selecting research problems with scientific and practical significance while applying appropriate research methodologies and analytical techniques. Considerable attention was devoted to assisting students in analyzing results through computer programming, statistical methods, and mathematical software applications. These supervisory activities contributed significantly to enhancing students’ research skills, independent scientific thinking, and their ability to connect theoretical concepts with practical applications.

Through academic supervision, continuous efforts have been directed toward promoting scientific inquiry, encouraging innovation, and preparing students for future academic and professional challenges in mathematics and related scientific disciplines.

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