Calculus (Sem 3-20242025)

What To Do Week 3 (5 August 2025)

1. Learn from notes or Youtube

Youtube LINK

📘 Chapter 1: Functions

1. Intro to Functions (Math Antics)
   https://www.youtube.com/watch?v=k6U-i4gXkLM
2. Inverse & Composite Functions (The Organic Chemistry Tutor)
   https://www.youtube.com/watch?v=8t0zFCtFj9Y

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📘 Chapter 2: Limits and Continuity

1. Understanding Limits (Eddie Woo)
   https://www.youtube.com/watch?v=DxfVq_KyHXY
2. Continuity and Discontinuity (The Organic Chemistry Tutor)
   https://www.youtube.com/watch?v=0RZ2ifOo1ec

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📘 Chapter 3: Derivatives

1. Derivatives for Beginners (Khan Academy)
   https://www.youtube.com/watch?v=ANyVpMS3HLQ
2. Product, Quotient & Chain Rule (The Organic Chemistry Tutor)
   https://www.youtube.com/watch?v=WUvTyaaNkzM

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📘 Chapter 4: Integration

1. Intro to Integration (3Blue1Brown – Visual Concept)
   https://www.youtube.com/watch?v=FX4C-JpTFgY
2. Basic Integration Rules (The Organic Chemistry Tutor)
   https://www.youtube.com/watch?v=XCh7_UkRw1s

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📘 Chapter 5: Logarithmic & Exponential Functions

1. Exponential & Logarithmic Functions – Intro & Graphs
   https://www.youtube.com/watch?v=4o4AlrL1BOI
2. Logarithms Explained Visually (Better Than Memorizing Rules)
   https://www.youtube.com/watch?v=2bhTPuhlrgE

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📘 Chapter 6: Application of Derivatives

1. Increasing, Decreasing, Max-Min, Inflection Points
   https://www.youtube.com/watch?v=dABlCR1FbsA
2. Optimization Problems (The Organic Chemistry Tutor)
   https://www.youtube.com/watch?v=6G6YqdFyt3A

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📘 Chapter 7: Techniques of Integration / Application

1. Definite & Indefinite Integrals – Concept & Calculation
   https://www.youtube.com/watch?v=yv-NnFzOJqM
2. Area Under a Curve using Integration
   https://www.youtube.com/watch?v=_jZDFLhbRoM

2. Do the exercises:

• Download Exercise Chapter 1-7 ini
• Buat exercise ini menggunakan pen di atas samada kertas A4 plain atau mana2 answer sheet (kertas garis) yg bersesuaian
• Hantar ke saya secara hardcopy di bilik saya selewatnya 20 Ogos 2025 (Rabu) jam 5 petang.

1. Learn from notes:

2. Learn from Youtube:

** 1) Lecture tentang jenis-jenis error dalam Numerical Methods**

Video ni cover pelbagai jenis error: inherent error, round-off error, truncation error, absolute error dan relative error — memang sesuai untuk bagi pelajar faham secara menyeluruh.

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** 2) Lecture khusus tentang Round-off & Truncation Errors**

Video ni fokus kepada dua jenis error utama — round-off dan truncation — dengan penjelasan yang jelas untuk faham beza antara kedua-dua.

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** 3) Lecture tentang Taylor Series & Approximation Error**

Video ni sangat pas dengan lecture pasal Taylor Series, remainder (error), truncation—sesuai untuk bahagian Lecture 8 & 9.

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** 4) Lecture tambahan tentang Truncation Errors dan Taylor Series**

Ni pun mantap—jelas terangkan Taylor Series dan bagaimana truncation error timbul sebab hanya guna terma terawal saja.

3. Exercise (kena hantar)
– Buat exercise ini menggunakan pen di atas samada kertas A4 plain atau mana2 answer sheet (kertas garis) yg bersesuaian
– Hantar ke saya secara hardcopy di bilik saya selewatnya 29 Ogos 2025 (Jumaat) jam 10 pagi.

1. Learn from notes:

Nota2 tambahan

📘 Lecture 10 – Root Finding Methods

1. PHY498CQM Lecture Notes – Root Finding
   https://research.physics.illinois.edu/electronicstructure/498cqm/lnotes/lec2.html
2. Warwick Notes – Notes 4: Root Finding Algorithms
   https://warwick.ac.uk/fac/sci/mathsys/courses/msc/ma934/resources/notes4.pdf
3. UMD Notes – Introduction to Numerical Analysis (D. Levy)
   https://math.umd.edu/~dlevy/resources/notes.pdf

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📘 Lecture 11 – Interpolation

1. Cambridge Notes – Polynomial Interpolation
   https://www.damtp.cam.ac.uk/user/hf323/L19-IB-NA/all_notes.pdf
2. Duke University Math 361S – Lecture Notes: Interpolation
   https://sites.math.duke.edu/~jtwong/math361-2019/lectures/Lec5Interpolation.pdf

2. Learn from Youtube:

🎥 Lecture 10: Root Finding Methods

1. Bisection, Newton-Raphson & Secant Method explained:
   https://www.youtube.com/watch?v=Rc0zL_4xkBA
2. Fixed Point Iteration & Newton-Raphson Method tutorial:
   https://www.youtube.com/watch?v=J4o7i02Ek7o

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🎥 Lecture 11: Interpolation

1. Newton’s & Lagrange Interpolation with examples:
   https://www.youtube.com/watch?v=KQmQU7tNXYo
2. Linear & Polynomial Interpolation in MATLAB:
   https://www.youtube.com/watch?v=cb3xth6U5tg

3. Exercise (kena hantar)
– Buat exercise ini menggunakan pen di atas samada kertas A4 plain atau mana2 answer sheet (kertas garis) yg bersesuaian
– Hantar ke saya secara hardcopy di bilik saya selewatnya 9 September 2025 (Selasa) jam 11 pagi.

1. Learn from notes:

2. Extra Notes:

Chapter	Topik Utama	Link 1	Link 2
12	Numerical Differentiation	https://www.youtube.com/watch?v=Fzu0SznO_iI	https://www.youtube.com/watch?v=DBICU7q0rLo
13	Numerical Integration	https://www.youtube.com/watch?v=bI4YyR7dJ8Y	https://www.youtube.com/watch?v=JY9-CVwhQ5Q
14	Ordinary Differential Equations	https://www.youtube.com/watch?v=Fs9jA43i3rQ	https://www.youtube.com/watch?v=3W-T9wF8EZQ

3. Exercises:

4. Exercise (kena hantar)
– Buat exercise ini menggunakan pen di atas samada kertas A4 plain atau mana2 answer sheet (kertas garis) yg bersesuaian
– Hantar ke saya secara hardcopy di bilik saya selewatnya 23 September 2025 (Selasa) jam 11 pagi.