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JIM411/JIM320 - Introductory Analysis
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LEARNING, TEACHING AND ASSESSMENT PLAN (LTAP)
LTAP JIM 320 / JIM 411 SA 2024-2025
ANNOUNCEMENT
Quiz (10%)
Quiz 1 (3%)
Quiz 2 (3%)
Assignment (20%)
JIM 320/ JIM 411 Assignment Questions
Submission of JIM 320 / JIM 411 Assignment
Peperiksaan Berterusan (PB-Test) (20%)
WEBEX
Webex Slides (After Intensive Course)
Webex Slides (Before Intensive Course)
Webex Recordings (Before Intensive Course)
Intensive Course Class
Intensive Course Slides (updated)
Intensive Course Recording
Peperiksaan Berterusan (PB)
Subtopics 1.1 (Field Axioms)
Learning Material 1.1 (Field Axioms)
Self-Learning Activity 1.1 (Field Axioms)
Self-Assessment 1.1 (Field Axioms)
Answer for Self-Assessment 1.1 (Field Axioms)
Subtopic 1.2 (Order Axioms)
Learning Material 1.2 (Order Axioms)
Self-Learning Activity 1.2 (Order Axioms)
Self-Assessment 1.2 (Order Axioms)
Answer for Self-Assessment 1.2 (Order Axioms)
Subtopics 1.3 (Completeness Axiom - Infimum and Supremum)
Quiz (basic concept)
Learning Material 1.3 (Completeness Axiom - Infimum and Supremum)
Self-Learning Activity 1.3 (Completeness Axiom - Infimum and Supremem)
Self-Assessment 1.3 (Completeness Axiom - Infimum and Supremum)
Answer for Self-Assessment 1.3 (Completeness Axiom - Infimum and Supremum)
Additional Self-Learning Activity
Quiz (basic concept)
Additional Learning Material
E-Kuliah Topics 1 & 2 Slides (additional)
E-Kuliah Topics 1 & 2 video (additional)
Key Terms
Key Terms for Topic 1 (The Real Number System 1)
Subtopic 2.1 (Mathematical Induction)
Learning Material 2.1 (Mathematical Induction)
Self-Learning Activity 2.1 (Mathematical Induction)
Self-Assessment 2.1 (Mathematical Induction)
Answer for Self-Assessment 2.1 (Mathematical Induction)
Subtopic 2.2 (Inverse Function and Image)
Learning Material 2.2 (Inverse Function and Image)
Self-Learning Activity 2.2 (Inverse Function and Image)
Self-Assessment 2.2 (Inverse Function and Image)
Answer for Self-Assessment 2.2 (Inverse Function and Image)
Subtopic 2.3 (Countable and Uncountable Sets)
Learning Material 2.3 (Countable and Uncountable Sets)
Self-Learning Activity 2.3 (Countable and Uncountable Sets)
Self-Assessment 2.3 (Countable and Uncountable Sets)
Answer for Self-Assessment 2.3 (Countable and Uncountable Sets)
Additional Self-Learning Activity (Quiz)
Quiz (basic concept)
Key Terms
Key Terms for Topic 2 (The Real Number System 2)
Subtopics 3.1 (Limits of Sequences)
Learning Material 3.1 (Limits of Sequences)
Self-Learning Activity 3.1 (Limits of Sequences)
Self-Assessment 3.1 (Limits of Sequences)
Answer for Self-Assessment 3.1 (Limits of Sequences)
Subtopics 3.2 (Divergence)
Learning Material 3.2 (Divergence)
Self-Learning Activity 3.2 (Divergence)
Self-Assessment 3.2 (Divergence)
Answer for Self-Assessment 3.2 (Divergence)
Subtopics 3.3 (Convergence Theorems)
Learning Material 3.3 (Convergence Theorems)
Self-Learning Activity 3.3 (Convergence Theorem)
Self-Assessment 3.3 (Convergence Theorems)
Answer for Self-Assessment 3.3 (Convergence Theorems)
Subtopic 3.4 (Limit Supremum and Infimum)
Learning Material 3.4 (Limit Supremum and Infimum)
Self-Learning Activity 3.4 (Limit Supremum and Infimum)
Self-Assessment 3.4 (Limit Supremum and Infimum)
Answer for Self-Assessment 3.4 (Limit Supremum and Infimum)
Additional Learning Material
E-Kuliah Topic 3 slides (additional)
E-Kuliah Topic 3 video (additional)
Key Terms
Key Terms for Topic 3 (Sequences in R)
Self-Learning Activity (Quiz)
Subtopics 4.1 (One-Sided and Two-Sided Limits)
Learning Material 4.1 (One-Sided and Two-Sided Limits)
Self-Learning Activity 4.1 (One-Sided and Two-Sided Limits)
Self-Assessment 4.1 (One-Sided and Two-Sided Limits)
Answer for Self-Assessment 4.1 (One-Sided and Two-Sided Limits)
Subtopics 4.2 (Limits at Infinity)
Learning Material 4.2 (Limits at Infinity)
Self-Learning Activity 4.2 (Limits at Infinity)
Subtopic 4.3 (Continuity)
Learning Material 4.3 (Continuity)
Self-Learning Activity 4.3 (Continuity)
Subtopic 4.4 (Uniform Continuity)
Learning Material 4.4 (Uniform Continuity)
Self-Learning Activity 4.4 (Uniform Continuity)
Self-Assessment 4.4 (Uniform Continuity)
Answer for Self-Assessment 4.4 (Uniform Continuity)
Additional Learning Material
E-Kuliah Topic 4 slides (additional)
E-Kuliah Topic 4 video (additional)
Key Terms
Key Terms for Topic 4 (Functions on R)
Self-Learning Activity (Quiz)
Subtopic 5.1 (The Derivative)
Learning Material 5.1 (The Derivative)
Self-Learning Activity 5.1 (The Derivative)
Self-Assessment 5.1 (The Derivative)
Answer for Self-Assessment 5.1 (The Derivative)
Subtopic 5.2 (Mean Value Theorem)
Learning Material 5.2 (Mean Value Theorem)
Self-Learning Activity 5.2 (Mean Value Theorem)
Self-Assessment 5.2 (Mean Value Theorem)
Answer for Self-Assessment 5.2 (Mean Value Theorem)
Subtopic 5.3 (Taylor's Theorem)
Learning Material 5.3 (Taylor's Theorem)
Self-Learning Activity 5.3 (Taylor's Theorem)
Self-Assessment 5.3 (Taylor's Theorem)
Answer for Self-Assessment 5.3 (Taylor's Theorem)
Key Terms
Key Terms for Topic 5 (Differentiability on R)
Self-Learning Activity (Quiz)
Topic Introduction
Video 6-0 Introduction (00:31)
Subtopic 6.1 (Darboux Integral)
Learning Material 6.1 (Darboux Integral)
Self-Learning Activity 6.1 (Darboux Integral)
Self-Assessment 6.1 (Darboux Integral)
Answer for Self-Assessment 6.1 (Darboux Integral)
Subtopic 6.2 (Riemann Integral)
Learning Material 6.2 (Riemann Integral)
Self-Learning Activity 6.2 (Riemann Integral)
Self-Assessment 6.2 (Riemann Integral)
Answer for Self-Assessment 6.2 (Riemann Integral)
Subtopic 6.3 (Theorems for Integrals)
Learning Material 6.3 (Theorems for Integrals)
Self-Learning Activity 6.3 (Theorems for Integrals)
Self-Assessment 6.3 (Theorems for Integrals)
Answer for Self-Assessment 6.3 (Theorems for Integrals)
Additional Learning Material
E-Kuliah Topic 6 video (additional)
E-Kuliah Topic 6 slides (additional)
Key Terms
Key Terms for Topic 6 (Integrability on R)
Self-Learning Activity (Quiz)
Topic Introduction
Topic 7 Video Introduction (01:30)
Subtopics 7.1 (Pointwise Convergence)
Learning Material 7.1 (Pointwise Convergence)
Self-Learning Activity 7.1 (Pointwise Convergence)
Self-Assessment 7.1 (Pointwise Convergence)
Answer for Self-Assessment 7.1 (Pointwise Convergence)
Subtopics 7.2 (Uniform Convergence)
Learning Material 7.2 (Uniform Convergence)
Self-Learning Activity 7.2 (Uniform Convergence)
Self-Assessment 7.2 (Uniform Convergence)
Answer for Self-Assessment 7.2 (Uniform Convergence)
Subtopics 7.3 (Interchangeability of Limit with Continuity, Differentiation and Integration)
Learning Material 7.3 (Interchangeability of Limit with Continuity, Differentiation and Integration)
Self-Learning Activity 7.3 (Interchangeability of Limit with Continuity, Differentiation and Integration)
Self-Assessment 7.3 (Interchangeability of Limit with Continuity, Differentiation and Integration)
Answer for Self-Assessment 7.3 (Interchangeability of Limit with Continuity, Differentiation and Integration)
Additional Learning Material
E-Kuliah Topic 7 slides (additional)
E-Kuliah Topic 7 video part 1 (additional)
E-Kuliah Topic 7 video part 2 (additional)
Key Terms
Key Terms for Topic 7 (Sequence of Functions)
Self-Learning Activity (Quiz)
Subtopics 8.1 (Uniform Convergence of Series)
Learning Material 8.1 (Uniform Convergence of Series)
Self-Learning Activity 8.1 (Uniform Convergence of Series)
Self-Assessment 8.1 (Uniform Convergence of Series)
Answer for Self-Assessment 8.1 (Uniform Convergence of Series)
Subtopics 8.2 (Weierstrass-M Test)
Learning Material 8.2 (Weierstrass M-Test)
Self-Learning Activity 8.2 (Weierstrass M-Test)
Self-Assessment 8.2 (Weierstrass M-Test)
Answer for Self-Assessment 8.2 (Weierstrass M-Test)
Subtopic 8.3 (Power Series)
Learning Material 8.3 (Power Series)
Self-Learning Activity 8.3 (Power Series)
Self-Assessment 8.3 (Power Series)
Answer for Self-Assessment 8.3 (Power Series)
Additional Learning Material
E-Kuliah Topic 8 slides (additional)
E-Kuliah Topic 8 video part 1 (additional)
E-Kuliah Topic 8 video part 2 (additional)
Key Terms
Key Terms for Topic 8 (Infinite Series of Functions)
Self-Learning Activity (Quiz)
Subtopic 9.1 (Algebraic Structure)
Subtopic 9.2 (Metric Spaces)
Subtopic 9.3 (Introduction to Topology)
Subtopic 9.4 (Open and Closed Sets)
Additional Learning Material
Key Terms
Self-Learning Activity (Quiz)
Subtopic 10.1 (Separated and Connected Sets)
Subtopic 10.2 (Interior, Closure, Boundary)
Subtopic 10.3 (Compact Set)
Subtopic 10.4 (Cantor Set)
Additional Learning Material
Key Terms
Self-Learning Activity (Quiz)
Intruduction
Subtopics 6.1 & 6.2 (Types of Series; Cauchy Criterion Theorem)
Subtopics 6.3 (Divergence Test)
Subtopic 6.4 (Convergence Tests)
Subtopic 6.5 (Absolute Convergence)
Subtopics 6.6 (Alternating Series Test)
Self-Learning Activity (Quiz)
Self Assessment
Additional Learning Material
Summary
SIM FEEDBACK
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JIM411/JIM320 - Introductory Analysis
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Course info
JIM411/JIM320 - Introductory Analysis
Lecturer:
PROFESOR MADYA DR. LOK YIAN YIAN
Skill Level
:
Beginner
