On this page, I have posted publication only for the year 2014-2026, for a complete list of publications please see my attached CV, Section: Research Activities/Publications. My Research Interest: Presently, I am interested to the Applications of topological category Theory to Convergence groups (probabilistic topological convergence groups; probabilistic convergence (topological) transformation groups - categorical aspects; probabilistic normed linear spaces; approach convergence groups; approach convergence transformation groups); Topological groups; Lattice-valued Topological Groups and Convergence Groups; Partial Metric Spaces and their applications to Computer Science; Quantale - Valued Partial Metric Spaces. Also, working on Monads and their Eilenberg-Moore categories in relation to the category of probabilistic convergence spaces; Approximation spaces and various closure operators.
COURSES that I have been teaching over the years
Academic Year 1447-1448 (August 24, 2025 - June 21, 2026)
Lecture: 1 3 5 (STT) Math 107: 8.00-9.50, 9.00-9.50 AM,10.00-10.50; 11.00 -11.50 AM. (3 Sections). (MW) Math 203: 10.00 AM - 11.50 AM and 10.00 AM - 10.50 AM (1 Section)
Academic Year 1446-1447 (August 18, 2024 - June 2025)
Office Hours: 1 3 5 (STT) 10.00 AM - 1.00 PM (Every Sunday, Tuesday and Thursday).
Academic Year 1443-1444 (August 2022 - June 2023)
Semester I: August 28, 2022 - November 24, 2022.
Semester II: December 4, 2022 - March 2, 2023.
Semester III: March 12, 2023 - June 22, 2023.
Lectures (Semester I): SUN 1.30 PM - 2.35 PM. MON 9.15 AM - 10.20 AM and 10.30 AM - 11.35 AM. TUES 1.30 PM 2.35 PM. WED 8.00 AM - 9.05 AM, 9.15 AM - 10.20, 10.30 AM -11.35 AM and 11.45 AM -12.50 PM. THURS 1.30 PM - 2.35 PM.
Semester II: 1442-1443 (January 16, 2022 - June 22, 2022)
Lectures: 10.00 AM - 11.50 (M 203) and 11.00 AM - 11.50 AM (M 204) (STT); 10.00 AM -11.50 AM (MW) (M 107) and 11.00 AM - 11.50 AM (M 107)
Office Hours: SUN - THURS (9.00 AM - 10.00 AM) and 12.00 - 1.00 PM.
Semester I (Autumn): 2021-2022 (29 August, 2021 - 6 January, 2022) Teaching 5 sections: 2 sections Math 107 and 2 sections Math 244 and 1 section M 204 Lectures: 8.00 - 8.50 AM (STT - 1 3 5); 10-10.50 AM (STT - 1 3 5); 11-11.50 AM (STT - 1 3 5) ; 1-1.50 PM (STT - 1 3 5); 10.00 - 11.50 AM (MW - 2 4) and 11.00 - 11.50 AM (MW - 2 4). Semester II: 1441-1421 (2020-2021 January- June, 2021) Teaching Math 107 (2 Sections) and Math 205 ( 1 Section). Lecture Hours: SUN/TUES/THURS(10.00 - 11.50 AM); MON/WEDNESDAY(10.00 - 10.50, 10.00 - 11.50 AM) OFFICE HOUR: Every day from SUN-THUR from 12.00 - 1.00 (Temporarily Online). By appointment you can make arrangement for discussion. Semester I: 1442 (31 August- December, 2020) Teaching 4 groups of Math 107: Matrices and Vectors (Linear Algebra and Calculus) Semester II: (Session: 1441-1442: January 19, 2020 - June 15, 2020) I am teaching two sections of Math 205 Differential and Integral calculus (for the students of ComputerEngineering) and Math 436: Mathematical Logic (for the students of Mathematics) including Tutorial on Math 436. Office Hour: Sunday, Tuesday, and Thursday: 8.00 AM - 9.00 AM; Monday and Wednesday: 8.00 AM - 11.00 AM. Other time by appointment. Semester I: (Session:1441-1442 : September 1, 2019 - January 2, 2020) I am teaching one section of Math 106 and one section of Math 205: Differential and Integral Calculus(for the students of Computer Engineering) and one section of Math 244: Linear Algebra (Mainly for the students of Computer Engineering) Office Hours: Sun, Tues, Thursday (1 3 5): 8.00 - 9.00 AM; Monday and Wednesday: 8.00 - 9.45 AM; Sun - Tuesday from 12.30 - 1.30 PM Semester II:(Session: 1439-40, January 6 - May 23, 2019) I am teaching 2 courses, Math 106(two sections) and Math 240: Liner Algebra with Applications (for the students of Financial Mathematics). My lecture hours: 8-9 and 9-10(SUN, TUES, THURS); 8-10(MON) and 9-10(WED). Office Hours: SUN, TUES, THURS: 10 AM -1.00 PM and 8AM - 9 AM (WED)
Semester I: (Session: 1439-40; September 2, 2018 - January, 2019) Teaching Math 106(Calculus 2 sections); Math 240(Introduction to Linear Algebra for the Students of Financial Mathematics). Office Hour: SUN, TUES, THUR: 11.00 AM - 1.00 PM; MON, WED: 8.00 AM - 12.00 Noon. Other time by appointment Semester II: (Session: 1438-39; January 21, 2018 - May, 2018) Teaching Math 106 Calculus (2 Sections) and Math 240 Introduction to Linear Algebra: Applications (for the students of Financial Mathematics) Office Hours:SUN/TUES: 9.00 AM - 12.00 Noon; THURS: 9.00AM - 11.00 AM; WED: 8.00AM - 9.00 AM and 10.00 AM - 11.00 AM. Semester I: (Session: 1438-1439; September, 2017 - January, 2018) Taught Math 106: Integral Calculus (3 Sections) and Math 240(Introduction to Linear Algebra for Financial Mathematics Students). MW: Math 106; STT: Math 106 and Math 240.
Office Hour: Sunday and Tuesday: 8.00- 9.00 AM; 12.00-1.00 P.M. Thursday 8.00- 9.00 AM. Monday 9.00-10.00 AM and 12.00-1.00 PM; Wednesday 8.00- 9.00 AM and 11.00 AM- 1.00. PM Semester II: (Session: 1437-1438; February - June, 2017) Math 106( two sections): MW [Mondays: 8.00 - 9.50 AM and 11.00 -11.50 AM; Wednesdays: 9.00-9.50 AM and 10.00 - 11.50 AM] Math 203(One section): STT [Saturday, Tuesday, Thursday: 9.00 -9.50 AM]. Office Hours: Sun/Tues: 8.00 AM - 1.00 PM except 9.00- 10.00 AM (Lecture); Mon: 10.00 - 11.00 AM and Thursday: 8.00- 9.00 AM. For other time, please make an appointment. Semester I (1437-38; From September, 2016 - January , 2017) Math 106: Integral Calculus (2 Sections) and Math 107: Matrices and Vectors (2 Sections) Lecture Hours: STT(10.00 AM-11.50AM ); MW(Mondays: 9.00AM-9.50AM, 11.00AM-11.50AM; Wednesdays: 8.00AM-9.50AM; 10.00AM-11.50AM) Office Hours: STT(8.00AM-10.00AM ; 12.10.PM-1.10PM (SMT only); Mondays: 8.00AM-9.00AM, 10AM-11.00AM. Other times by appointment. Records on Previous Semesters Semester II (1436-37; From January 17, 2016) Math 5701(Topology and Geometry) Math 204 (Differential Equations with Boundary Value Problems) Math 203 (Differential and Integral calculus) Lecture timing: MW (Monday and Wednesday): M204 Grp.: 34763, Monday: 8.00 AM-9.50 AM Wednesday: 9.00 AM-9.50 AM - Lecture Room: 1B26. STT(Sunday, Tuesday, Thursday): M5701 : Sunday, Tuesday and Thursday: 10 AM- 11.00 AM. Lecture Room: 2B136. M203 Grp.: 20448 Sunday, Tuesday and Thursday: 9.00 AM-9.50 AM - Lecture Room: 1B48 Office Hour: Sunday: 8.00 AM-9.00 AM ; Monday: 10.00 AM- 12.00 PM; Tuesday 8.00 AM-9.00 AM and 11.00 AM-12 Noon. Wednesday 8.00 AM-9.00 AM and 10.00 -12.00 Noon.; 8.00 AM-9.00 AM and 11.00 AM 12.00 Noon. Thursday: 8.00 AM-9.00 AM and 11.00 AM-12.00 AM Semester 2015 /2016 G (1436/1437 H) (August, 2015- January, 2016): Teaching Math 204 (Differential Equations with Boundary Value Problems) and Math 107 (Matrices and Vectors). Lecture Timing: SUN/TUES/THURS: 10 AM - 10.50 AM (M107). MON: 9.00 AM - 9.50 AM (M 107) and 10 AM - 11.50(M 204) AM; WED: 8.00AM - 9.50 (M 107) and 10 AM - 10.50 AM (M204). Office Hours: 8.00 AM - 10.00 AM and 11.00 AM - 1.00 PM (except 11.50 AM - 12.20 PM) on Sunday, Tuesday and Thursday. Summer Semester 2015 (June-August): Math 107(Matrices and Vectors) Semester II (1435-36; 2015) : Second Semester January 25-June, 2015. Taught Math 106 (Integral Calculus) and Math 107 (Matrices and Vectors) Semester I(August 31, 2014 - January 15, 2015) I taught 2 Groups Math 107 and 2 Groups Math 203. Other courses that I taught over the years are arranged in Courses Section. Semester II (January 26, 2014-June, 2014)
Office Hours and Lecture Timings SUN: Office: 8.00 AM-10.00 AM and 11.00 -1.00 PM TUES: 11.00 AM-12.00 WED: 8.00 AM-9.00 AM and 11.00 AM-1200 THURS: 8.00 AM-10.00 AM and 11.00 AM-12.00. Lectures: SUN/TUES/THURS: 10.00 AM- 10.50 AM Lectures: MON: 8.00 AM - 9.50 AM and 10.00 AM - 11.50 AM. Lectures: WED: 9.00 AM - 9.50 AM and 10.00 AM - 10.50 AM.
Semester I (September 2013-January 2014) Office Hours and Lecture Timings
Mid-Term I: 23/12/1433H(Thursday, 8.00-9.30AM, November 8, 2012G)
Mid-Term II: 29/01/1434H(Thursday, 8.00-9.30AM, December 13, 2012G) Final Exam Math 203: January 8, 2013G; 26 Safar, 1434H Summer Semester (1432-33; June-August, 2012) (a) Math 203: Differential and Integral Calculus (Multidimensional Calculus) (b) Math 204: Differential Equations With Boundary Value Problems
Semester II(1432-33) (February 2012-June 2012) a) Ph D (Thesis supervision) (2 students) b) Math 203: Differential and Integral Calculus 3 credits (3 sections)[ SAT, MON, WED: 8.00 AM-11.00 AM] Office Hours: SAT, MON, WED: 11.00 AM-1.00 PM; TUES: 9.00AM-1.00 PM. Semester I (1432-1433) (September 2011-February 2012) a) M 676 Ph D (course) (3 credits) [SAT 8.00 AM-10.00AM]; [MON 8.00 AM- 9.00 AM] b) M 690 Ph D (course) (3 credits) [SAT 10.00-11.00AM]; [MON 9.00AM-11.00 AM c) Ph D (thesis) (1 hour) [MONDAY] d) Math 107 (Elementary Linear Algebra and Calculus) (3 credits) Office Hours: Sun and Tues: 9.00-1.00, Wed: 10-12 Semester I (1431-1432)(September 2010-February 2011) a) Math 106 b) Math 107 c) Math 700 (Ph D dissertation)
Office hour: SAT, Mon, Wed: 9.00 - 10.00 AM and 12.oo-1.00 PM
SUN: 8.00- 1.00 PM
Semester II (1431-1432) (February 2011-June 2011) a) Math 203 b) Math 674 (Ph D course) c) Math 675 (Ph D course) d) Math 700 (Ph D dissertation) Summer program (June - August, 2011) Math 106 (two sections) Final Exam: Saturday, 20th August, 2011
Semester I (September 2012-January 2013) Math 203: Multidimensional Calculus (three sections) Ph D thesis supervision
Semester II (January 2013-June 2013) Math 203: Multidimensional Calculus (two sections) Office Hours and lectures SAT: 8.00-9.00 AM and 11.00-12.00 Lect.: 9.00-11.00 AM MON: 8.00-9.00 AM and 11.00-12.00 Lect.: 9.00-11.00 AM TUES: 10.00-12.00 and 1.00-2.00 PM WED: 8.00-9.00 AM and 11.00-12.00 Lect.: 9.00-11.00 AM.
In this article, we focus on discussing some subcategories of the category of probabilistic convergence groups, PConvGrp. In so doing, we introduce a category of probabilistic…
In this paper, we present several characterizations on approach groups, and ultra-approach groups. In doing so, we first give necessary and sufficient conditions for an approach structure to be…
by
T. M. G. Ahsanullah , Fawzi Al-Thukair
2024
Published in:
European Journal of Pure and Applied Mathematics, New York Business Global, Maryland, USA