Fourier Transform | Fourier transform engineering mathematics | Part 2

Fourier Transform:

https://www.youtube.com/playlist?list=PLM9RnGtTy9_8qjYzY12oecM-xQ_jHLOUN

🔵 VIDEO LIST (PARTS 1–10)

🔹 P1 https://youtu.be/NnwNAHH7YHU
FT of f(x)=1 up to a, 0 otherwise.
Evaluate ∫₀∞ (sin x / x) dx.

🔹 P2 https://youtu.be/n_ErkRbrnUI
FT of f(x)=x up to alpha, 0 otherwise.

🔹 P3 https://youtu.be/gZ4VMGbY7Hw
FT of f(x)=1−x² for x in 0 to 1, 0 otherwise.
Evaluate ∫₀∞ (x cos x − sin x) / x³ dx.

🔹 P4 https://youtu.be/sFDFRJFT6eQ
FT of f(x)=e^(−|x|).

🔹 P5 https://youtu.be/4OQ6JzAQyY0
FT of f(x)=1−|x| for |x| up to 1, 0 otherwise.

🔹 P6 https://youtu.be/b9GKvBLWI7s
FT of f(x)=x² up to a, 0 otherwise.

🔹 P7 https://youtu.be/54oBqcbr-Ao
FT of f(x)=x·e^(−|x|).

🔹 P8 https://youtu.be/EiTdySLQXjM
FT of f(x)=1+x/a for −a to 0,
1−x/a for 0 to a, 0 otherwise.

🔹 P9 https://youtu.be/mUeM6q6oXEM
FT of f(x)=e^(−a²x²).
e^(−x²/2) is self-reciprocal.

⭐ P10 (Inverse FT) https://youtu.be/21N1h2kea5w
Inverse FT of F(u)=e^(−u²).
📘 What I Solve in This Video (Part 2)

Find the complex Fourier transform of the function:

f(x) = x when x is less than or equal to alpha
f(x) = 0 when x is greater than alpha
🎓 VTU SYLLABUS

✔ BMATEC301 (EC) – Maths-III
Module 2: Infinite Fourier Transforms

✔ BMATE301 (EE) – Maths-III
Module 4: Fourier & Z Transforms

🆕 HIGH-WEIGHT (Most IMPORTANT)

⭐ Fourier Transform
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_8qjYzY12oecM-xQ_jHLOUN

⭐ Fourier Sine & Cosine
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_8R_4z-ki48SWJIAXElNq-5

⭐ Z Transform
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_9hLX3RcG3J0MBVjTB9KCG2

🚨 BMATEC301 – Maths-III (EC)

📌 Concept Playlists

M1 Fourier Series & PHA
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-CnqEH2st5Qp6855UtsNjj

M2 Infinite & Discrete FT
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_9vdN85m0HlV5H1OIoWMPpF

M3 Z Transform
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_968Db9KUSXEyT8HxA-fuP8

M4 Higher Order DE
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-C2b7AzvivRHjXkhyETypN

M5 Curve Fitting & Regression
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-5nG9CvvnYgzdhRgayF-iD

📝 Model Question Papers

M1 P1 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-U0fcSyGnBg8h-u3Lf4k-y
M1 P2 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9__1-U0NHsc38JKkLCVg0xMF

M2 P1 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9__HNKtov9_K0z6u6guXmjcc
M2 P2 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_9HFZdbUub7fawDjOkQXUcB

M3 P1 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-4oUG7SjotCpZVVRDyU34l
M3 P2 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9__rV1k7ENC_5z8edT-M63xy

M4 P1 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_94vEjINmkBJgC2TJVtKORP
M4 P2 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_9wcOKiXooibbz9cx-xvpft

M5 P1 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_96-JBNYMQaHuTD77MOUOBL
M5 P2 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_9-xW2ds4tYLrK6fLsd1N_T

🚨 BMATE301 / BEE301 – Maths-III (VTU 2023–24)

📌 Concept Playlists

M1 Higher Order DE
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_8nhKT-E8Q52mEz9cxKGR9Z

M2 Curve Fitting, Correlation, Regression
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_9nwGI0eG1_MiBiOGWPv_Nz

M3 Fourier Series
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-n1gfkoWEyKpMI2vO_9C6s

M4 Fourier & Z Transforms
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9__zLPC1XJkzw3av8J8qiOoi

M5 Probability & Statistics
👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_9H07iTZ444aLxYqa1jerjz

📝 Model Question Papers

M1 P1 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_8iaRTjFpjFl3AZD693AWkh
M1 P2 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_8Zf8Ns5AIAOKgouEi_LwUa

M2 P1 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-_DX0UIcTEzckrDGX00H0F
M2 P2 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-wvid5ccQm27lU0Jd8jy1O

M3 P1 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_9Pp9GkOym7ZJP0ZVoOJUxM
M3 P2 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_8Gak58wHqMe1JIhitW4hIZ

M4 P1 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-7uQvkFkev_3dDMEGZdhiW
M4 P2 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-dFehdJsRoFMkX77xnlZ85

M5 P1 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9__9TbsPTVjnDXXnzMuC8tsl
M5 P2 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9__wHXoDNwUms-h9u_YGds56
📌 Study Order
High-weight → Concepts → Model Papers

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Видео Fourier Transform | Fourier transform engineering mathematics | Part 2 канала Mathematics Tutor