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JIM503/JIM323 - Modern Algebra
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LEARNING, TEACHING AND ASSESSMENT PLAN (LTAP)
LTAP SA 2024-2025
Assignment 1 (15%)
ASSIGNMENT 1
PB: PEPERIKSAAN BERTERUSAN (20%)
Assignment 2 (15%)
WEBEX Class Links and Notes
Webex 1 Session Notes
Webex 2 Session Notes
Webex 3 Session Notes
Webex 4 Session Notes
Webex 5 Session Notes
Learning Materials
CHAPTER 1 LEARNING MATERIALS
Additional Learning Materials
Sets
Intro to Relations and Functions
Sets, Relations & Functions - Lesson 1
Sets, Relations & Functions - Lesson 2
Equivalence Relations and Quotient Sets
Self-Learning Activity
TUTORIAL 1
TUTORIAL 1 Solutions
TUTORIAL 1 Explanation by PM Mohd Nain
TUTORIAL 1 QUESTION 9
Self-Assessment
Challenge Yourself #CHAPTER1
References
[JIM 503 TEXTBOOK_1]
[JIM 503 TEXTBOOK_2]
Learning Materials
Additional Learning Materials
Definition of a Group
Finite Groups
Definition of an Abelian Group
Definition of a Subgroup
Definition of a Cyclic Group
Cyclic Groups and Abelian Groups
Self-Learning Activity
TUTORIAL 2
TUTORIAL 2 Explanation by PM Mohd Nain
Self-Assessment
Challenge Yourself #CHAPTER2
Learning Materials
CHAPTER 3 LEARNING MATERIALS
Additional Learning Materials
[Notes]- Permutations, Cosets and Direct Products
Definition of a Permutation
Groups of Permutations
The Symmetric Group
Definition of Cosets
Cosets and Lagrange's Theorem Part 1
Cosets and Lagrange's Theorem Part 2
Cosets and Lagrange's Theorem Part 3
Cosets and Lagrange's Theorem Part 4
Cosets and Lagrange's Theorem Part 5
Cosets and Lagrange's Theorem Part 6
Self-Learning Activity
WEBEX 3 TUTORIAL
WEBEX 3 TUTORIAL Solutions
TUTORIAL 3 Explanation by PM Mohd Nain
WEBEX 4 TUTORIAL
TUTORIAL 4 Explanation by PM Mohd Nain
Self-Assessment
Challenge Yourself #CHAPTER3
Learning Materials
CHAPTER 4 LEARNING MATERIALS
Additional Learning Materials
Homomorphisms
Group Homomorphisms
The Kernel of a Group Homomorphism
Isomorphisms
Normal Subgroups and Quotient Groups (aka Factor Groups)
Self-Learning Activity
WEBEX 5 TUTORIAL
WEBEX 5 TUTORIAL Explanation by PM Nain
WEBEX 6 TUTORIAL
WEBEX 6 TUTORIAL Solutions
TUTORIAL 6 Explanation by PM Mohd Nain
Solution for EXERCISE 6 WEBEX 6
Self-Assessment
Challenge Yourself #CHAPTER4
Learning Materials
CHAPTER 5 LEARNING MATERIALS
Additional Learning Materials
The Definition of a Ring
Ring Definition (expanded)
Ring Examples
Units in a Ring
Field Definition (expanded)
The Definition of a Field
Integral Domains Explained
Self-Learning Activity
CHAPTER 5 Explanation by PM Mohd Nain
Self-Assessment
Challenge Yourself #CHAPTER5
INTENSIVE CLASS
Recording Webex Intensive Class
Intensive Class Notes
FEEDBACK
FAIL OBE JIM503
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Ijazah Sarjana Muda Sains (Kepujian)
Bidang Biologi
Bidang Fizik
Bidang Kimia
Bidang Matematik
Ijazah Sarjana Muda Sastera (Kepujian)
Bidang Geografi
Bidang Kesusasteraan
Bidang Sejarah
Ijazah Sarjana Muda Sains Kemasyarakatan (Kepujian)
Bidang Antropologi-Sosiologi
Bidang Ekonomi
Bidang Sains Politik
Ijazah Sarjana Muda Pengurusan (Kepujian)
Kursus Universiti
Kimia Teknologi dan Lestari
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Analitik Geospatial
PJJ@USM 101 Pendidikan Sepanjang Hayat
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JIM503/JIM323 - Modern Algebra
Image: SIM Thumbnail (2),
by DR. WAN NUR AQLILI BINTI WAN MOHD RUZAI
Course info
JIM503/JIM323 - Modern Algebra
Lecturer:
DR. WAN NUR AQLILI BINTI WAN MOHD RUZAI
Skill Level
:
Beginner