Teaching
[ So Euclid called a slave and said "Give him threepence, since he must make a gain out of what he learns." ]
Embedded Files
MAT211 Abstract Algebra I: Group and Ring Theory -- Lecture Notes, Typsetted Lecture Notes, Suggested Solutions to Artin's Algebra, Lecture Videos
MAT208 General Topology -- Lecture Notes, Typsetted Lecture Notes, Lecture Videos
MAT201 Mathematical Analysis I -- Lecture Notes, Lecture Notes
MAT103 Calculus II: Vector Calculus -- Lecture Notes, Lecture Videos
BSC123 Calculus II: Vector Calculus -- Lecture Notes, Lecture Videos
G0121 Introduction to Linear Algebra -- Lecture Notes, Lecture Videos
BSC136 Discrete Mathematics B -- Lecture Notes, Lecture Videos
Collaborative Notes
e6e422b0-e9ed-401d-a1e9-a4e7da4666e0.pdfI involved in designing the flyer for XMUM MAT Bachelor Degree Programme.
Teaching Duties
Teaching Duties
Xiamen University Malaysia
2025/04 MAT328/422 Classical Algebraic Geometry
MAT208/416 General Topology
2025/02 Algebraic Geometry (Reading Seminar, Thursdays )
G0121 Introduction to Linear Algebra
2024/09 MAT211 Abstract Algebra I: Group and Ring Theory
MAT103 Calculus II: Vector Calculus
2024/04 MAT208/416 General Topology
MAT201 Mathematical Analysis I
2024/02 Algebraic Number Theory (Reading Seminar, Fridays)
Mathematics in Quantum Mechanics (Reading Seminar, Notes , Tuesdays)
2023/09 MAT211 Abstract Algebra I: Group and Ring Theory
MAT103 Calculus II: Vector Calculus
2023/04 MAT103 Calculus II: Vector Calculus
BSC123 Calculus II: Vector Calculus
2023/02 G0121 Introduction to Linear Algebra
2022/09 BSC136 Discrete Mathematics B
2025/02 G0121 Intro to Linear Algebra
2025/02 G0121 Intro to Linear Algebra
2024/09 MAT211 Abstract Algebra I: Group and Ring Theory
2024/09 MAT211 Abstract Algebra I: Group and Ring Theory
2024/09 MAT103 Calculus II: Vector Calculus
2024/09 MAT103 Calculus II: Vector Calculus
"I have tried my best in planting the Pure Maths seed."-Vector Calculus
MAT 103 Seminar - "The Usefulness of Maths"
2024/04 MAT208 General Topology
2024/04 MAT208 General Topology
X"Choosing, Counting, Mapping, Connecting, Covering, Spearating Points in Sets ."-General Topology
Class of 2024/04
2024/04 MAT208 - General Topology - Lecture Notes, Lecture videos, Typset Lecture Notes by Lim Wenn Chuaan
Textbook:
Tom Richmond. 2020. General Topology: An Introduction. Berlin: De Gruyter.
Munkres James. 2013. Topology. 2nd ed. Harlow United Kingdom: Pearson Education Limited.
Suggested Readings:
Guoliang Wang. 2021. Lecture Notes on General Topology. Beijing CHina Singapore: Higher Education Press Limited Company; World Scientific Publishing Company Co. Pte.
Michael Starbid, Francis Edward Su. 2019. Topology through Inquiry. Providence Rhode Island: MAA Press: An imprint of the American Mathematical Society.
Robert Magnus. 2022. Metric Spaces: A Companion to Analysis. Cham Switzerland: Springer.
Simmons George F. 2003. Introduction to Topology and Modern Analysis. Malabar Fla: Krieger Pub.
Terence Tao.2016. Analysis II: Third Edition. Singapore: Spinger Singapore: Imprint: Springer
John L. Kelley. 2017. General Topology. Mineola New York: Dover Publications.
Willard Stephen. 2004. General Topology. Mineola N.Y: Dover Publications.
Dixmier Jacques. 2010. General Topology. New York: Springer-Verlag.
Avishek Adhikari, Mahima Ranjan Adhikari. 2022. Basic Topology 1: Metric Spaces and General Topology. Singapore: Springer.
Marco Manetti. 2023. Topology. Second ed. Cham Switzerland: Springer.
[Plenty of Examples] Lipschutz Seymour. 2012. General Topology. [Rev. ed.] ed. New York: McGraw-Hill.
2404 Full MAT208 General Topology Lecturer Notes.pdfTypset General Topology Notes.pdf2024/04 MAT201 Mathematical Analysis I
2024/04 MAT201 Mathematical Analysis I
"Lemmas for the Nitty-Gritty."-Mathematical Anlaysis I
Class of 2024/04
2024/04 MAT201 - Mathematical Analysis I - Lecture Notes, Lecture videos
Textbook:
John Srdjan Petrovic. 2021. Advanced Calculus: Theory and Practice. Second ed. Boca Raton FL:
Fitzpatrick, Patrick. 2009. Advanced Calculus. Second edition. Providence, R.I.: American Mathematical Society.
Wade W. R. 2022. An Introduction to Analysis. 4rd ed. Upper Saddle River NJ: Pearson Education.
Suggested Readings:
Rudin Walter. 1976. Principles of Mathematical Analysis. 3rd ed. Tokyo: McGraw-Hill Kogakusha.
Michael Spivak. 2008. Calculus. Fourth ed. Houston Tex: Publish or Perish.
[Recommended Entry Level] Brannan D. A. 2006. A First Course in Mathematical Analysis. Cambridge New York: Cambridge University Press: Open University.
Terence Tao. 2022. Analysis. I. Fourth ed. Singapore: Springer.
Johar Syafiq. 2024. The Big Book of Real Analysis from Numbers to Measures. Cham: Springer.
[Logical Statements] Daniel J. Velleman. 2019. How to Prove It: A Structured Approach. Third ed. Cambridge United Kingdom: Cambridge University Press.
[Abundant Proof Examples] B. A. Sethuraman. 2021. Proofs and Ideas a Prelude to Advanced Mathematics. Providence Rhode Island: MAA Press an imprint of the American Mathematical Society.
[Abundant Proof Examples] Gary Chartrand, Albert D. Polimeni, Ping Zhang. 2018. Mathematical Proofs: A Transition to Advanced Mathematics. Fourth ed. NY NY: Pearson.
[Abundant Proof Examples] M. W. Liebeck. 2016. A Concise Introduction to Pure Mathematics. Fourth ed. Boca Raton: CRC Press Taylor & Francis Group.
[Abundant Proof Examples] Cunningham Daniel W. 2012. A Logical Introduction to Proof. New York NY: Springer.
[Abundant Examples] Wrede Robert C. and Murray R. Spiegel. 2010. Schaum’s Outlines Advanced Calculus. 3rd ed. New York: McGraw-Hill.
2404 Full MAT201 Mathematical Analysis l Lecturer Notes.pdfMAT 201 Seminar - "What if I am a Mathematician" - to share how the knowledge of Maths can help the society
2024/04 MAT211 Abstract Algebra I: Group and Ring Theory
2024/04 MAT211 Abstract Algebra I: Group and Ring Theory
"Selling Pure Algebras to the netizens."-Abstract Algebra I
Class of 2023/09
2023/09 MAT211 - Abstract Algebra I - Lecture Notes, Lecture videos, Some Answers of Artin's Algebra
"I am grateful that my students Ong Jing Poh, Xing Pangdingyu, Ong Zi Qian, Luo Yiding, Zhang Shuo Ning, Lyu Yuwei, Liu Wenshuo, Li Kai, and Lok Kai Ren are willing to help compiling the solution to the tutorial questions selected from Artin's Algebra into a Latex - typeset pdf "Some Answers of Artin's Algebra". Enjoy!
Disclaimer: We held no resposiblities for any misuse of the material. It might contain human's error. It might get updated from time to time."
Textbook:
Artin Michael. 2018. Algebra. Second edition [2018 reissue] ed. New York New York: Pearson.
Fraleigh John B. and Victor J. Katz. 2021. A First Course in Abstract Algebra. Eighth ed. Hoboken New Jersey: Pearson.
Judson Thomas W. and Robert A. Beezer. 2022. Abstract Algebra : Theory and Applications. 2022th ed. Ann Arbor Mich: Orthogonal Publishing. (Free download: http://abstract.ups.edu/download.html)
Suggested Readings:
Hungerford Thomas W. 2014. Abstract Algebra : An Introduction. Third ed. Boston MA: Brooks/Cole Cengage Learning.
Gallian Joseph A. 2021. Contemporary Abstract Algebra. Tenth ed. Boca Raton FL: CRC Taylor & Francis Group.
Al Subaiei Bana and Muneerah Al Nuwairan. 2023. A Gentle Introduction to Group Theory. Singapore: Springer. Retrieved September 8 2023 (https://doi.org/10.1007/978-981-99-0147-0).
Davvaz Bijan. 2021. A First Course in Group Theory. Singapore: Springer. Retrieved September 8 2023 (https://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=6803005).
Brešar Matej. 2019. Undergraduate Algebra : A Unified Approach. Cham: Springer. Retrieved September 8 2023 (https://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=5919474).
Lee Gregory T. 2018. Abstract Algebra : An Introductory Course. Cham: Springer. Retrieved September 8 2023 (https://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=5579404).
Pinter Charles C. 2010. A Book of Abstract Algebra. Dover ed. Mineola New York: Dover Publications.
【Easy Introductory Text with Examples】Wallace D. A. R. 1998. Groups Rings and Fields. N ed. London: Springer London. Retrieved September 8 2023 (https://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=3075184).
Advanced Readings:
Dummit David S. and Richard M. Foote. 2004. Abstract Algebra. 3rd ed. New Jersey: Wiley.
Grillet Pierre A. 2007. Abstract Algebra. 2nd ed. New York: Springer. Retrieved September 8 2023 (http://site.ebrary.com/id/10230291).
Kemper Gregor. 2011. A Course in Commutative Algebra. Dordrecht: Springer. Retrieved September 8 2023 (http://site.ebrary.com/id/10435127).
History Readings:
Gray Jeremy. 2018. A History of Abstract Algebra : From Algebraic Equations to Modern Algebra. Cham Switzerland: Springer. Retrieved September 8 2023 (https://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=6226857).
Kleiner Israel. 2007. A History of Abstract Algebra. Boston Mass. London: Birkhäuser ; Springer distributor. Retrieved September 8 2023 (http://site.ebrary.com/id/10230478).
2309 Full MAT 211 Lecturer Notes.pdfSome_answers_of_Artin_s_Algebra_tutorial_question (5).pdf2023/09 MAT103 Calculus II: Vector Calculus
2023/09 MAT103 Calculus II: Vector Calculus
"the first interactive MAT student batch!"-Calculus II
Class of 2023/09
2023/09 MAT103 - Calculus II - Lecture Notes, Lecture videos
Textbook:
Stewart J. Clegg D. & Watson S. (2021). Calculus : early transcendentals (Ninth). Cengage.
Hass J. Heil C. Weir M. D. & Thomas G. B. (2023). Thomas' calculus : early transcendentals (Fifteenth edition in SI units / Global). Pearson.
Suggested Readings:
Adams R. A. & Essex C. (2018). Calculus : a complete course (Ninth). Pearson Canada.
Larson R. & Edwards B. (2023). Calculus : with calcchat and calcview (12e ed.). Cengage Learning.
Hass J. R. Heil C. E. & Weir M. D. (2019). Thomas' calculus in si units (14th ed.). Pearson Education Canada.
2309 Full MAT 103 Lecturer Notes.pdfMAT 103 Seminar - "Maths and Life" - to confirm our faith in Maths. Precious MAT and AIT students are invited to witness the moment.
2023/04 MAT103 Calculus II: Vector Calculus
2023/04 MAT103 Calculus II: Vector Calculus
"My first ever MAT student batch..."-Calculus II
Class of 2023/04
2023/04 MAT103 - Calculus II - Lecture Notes, Lecture videos
Textbook:
Stewart J. Clegg D. & Watson S. (2021). Calculus : early transcendentals (Ninth). Cengage.
Hass J. Heil C. Weir M. D. & Thomas G. B. (2023). Thomas' calculus : early transcendentals (Fifteenth edition in SI units / Global). Pearson.
Suggested Readings:
Adams R. A. & Essex C. (2018). Calculus : a complete course (Ninth). Pearson Canada.
Larson R. & Edwards B. (2023). Calculus : with calcchat and calcview (12e ed.). Cengage Learning.
Hass J. R. Heil C. E. & Weir M. D. (2019). Thomas' calculus in si units (14th ed.). Pearson Education Canada.
MAT103 My Lecturer Notes.pdf
2023/04 BSC123 Calculus II: Vector Calculus
2023/04 BSC123 Calculus II: Vector Calculus
"The most diligent class so far... "-Calculus II
Class of 2023/09
2023/04 BSC123 - Calculus II - Lecture Notes, Lecture videos
Textbook:
Stewart J. Clegg D. & Watson S. (2021). Calculus : early transcendentals (Ninth). Cengage.
Hass J. Heil C. Weir M. D. & Thomas G. B. (2023). Thomas' calculus : early transcendentals (Fifteenth edition in SI units / Global). Pearson.
Suggested Readings:
Adams R. A. & Essex C. (2018). Calculus : a complete course (Ninth). Pearson Canada.
Larson R. & Edwards B. (2023). Calculus : with calcchat and calcview (12e ed.). Cengage Learning.
Hass J. R. Heil C. E. & Weir M. D. (2019). Thomas' calculus in si units (14th ed.). Pearson Education Canada.
BSC123 My Lecturer Notes (Nge Kie Seng).pdf2023/02 G0121 Introduction to Linear Algebra
2023/02 G0121 Introduction to Linear Algebra
"They finished a first year linear algebra course in five weeks with three three-hours lectures per week "-Linear Algebra Class of 2022/09
2023/02 G0121 - Introduction to Linear Algebra - Lecture Notes, Lecture videos
Textbook: Lay D. C. Lay S. R. & McDonald J. (2022). Linear algebra and its applications (Sixth edition. Global). Pearson Education Limited.
Suggested Readings:
Anton H. Rorres C. & Kaul A. (2019). Elementary linear algebra : applications version (12th edition Wiley loose-leaf print). Wiley.
Strang G. (2016). Introduction to linear algebra (Fifth). Cambridge Press.
Strang G. (2006). Linear algebra and its applications (4th ed.). Thomson Brooks/Cole.
Lipschutz S. & Lipson M. (2018). Schaum's outline of linear algebra (6th ed.). McGraw-Hill Education. Retrieved February 9 2023 from https://www.accessengineeringlibrary.com/content/book/9781260011449.
Intro to Linear Algebra Lecture Notes.pdf2022/09 BSC136 Discrete Mathematics B
2022/09 BSC136 Discrete Mathematics B
-DMT Class of 2022/09
2022/09 BSC136 Discrete Mathematics B (for AIT, DMT, SWE) - Lecture Notes, Lecture Recording
Textbook: Rosen K. H. (2019). Discrete mathematics and its applications (Eighth). McGraw-Hill.
Suggested Readings:
Levin O. (2019). Discrete mathematics : an open introduction (Third). Oscar Levin.
Johnsonbaugh R. (2019). Discrete mathematics (Eighth edition global). Pearson Education Limited.
Epp S. S. (2020). Discrete mathematics with applications (Fifth). Cengage.
Jongsma C. (2019). Introduction to discrete mathematics via logic and proof. Springer.
Belcastro sarah-marie. (2018). Discrete mathematics with ducks (2nd ed.). Chapman and Hall/CRC.
Lipschutz S. & Lipson M. (2022). Schaum's outline of discrete mathematics (Fourth). McGraw-Hill.
Discrete Mathematics B Lecturer Notes.pdfPage updated
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