Fourier sine and cosine transform | Part 13

Описание: ▶️ Full Playlist

👉    • Fourier sine and cosine transform  

📘 What I Solve in This Video

In this video, we find the infinite Fourier cosine transform of the function

f(x) = e^(-x²) .

▶️ Questions Solved in This Playlist

✔ Fourier sine and cosine transform of f(x) = x for 0 to 2
✔ Cosine transform of piecewise functions (VTU pattern)
✔ Sine and cosine transform of e^(−αx)
✔ Transforms of 2e^(−3x) + 3e^(−2x)
✔ Transform of e^(−|x|) and evaluation of standard integral
✔ Sine transform of e^(−ax)/x
✔ Inverse Fourier sine transform problems
✔ Integral equations using sine and cosine transforms
✔ Finding f(x) from given cosine transform
✔ Infinite cosine transform of e^(−x²)
✔ Self-reciprocal function under sine transform
✔ Cosine transform of e^(−ax), x e^(−ax) and standard integral
✔ Infinite cosine transform of 1/(1 + x²)



🎓 VTU Syllabus Coverage

✔ BMATE301 – Mathematics-III (EE)
Module 4: Fourier Transforms and Z-Transforms

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

🚨 BMATE301 / BEE301 – Mathematics-III (VTU 2023–24) | EE Engineering

📌 Concept Playlists (Module-wise)

🔹 Module 1 – Higher Order Differential Equations
👉    • Ordinary Differential Equations of Higher ...  

🔹 Module 2 – Curve Fitting, Correlation & Regression
👉    • Curve Fitting, Correlation & Regression | ...  

🔹 Module 3 – Fourier Series
👉    • Fourier Series | BMATE301/BEE301 – Module ...  

🔹 Module 4 – Fourier Transforms & Z-Transforms
👉    • Fourier Transforms & Z-Transforms | BMATE3...  

🔹 Module 5 – Probability & Statistics
👉    • Probability Distributions & Sampling Theor...  

📝 Model Question Papers – BMATE301 / BEE301

M1 – P1 👉    • Bmate301 module 1 Model Question Paper 1  
M1 – P2 👉    • Bmate301 module 1 Model Question Paper 2  

M2 – P1 👉    • Bmate301 module 2 Model Question Paper 1  
M2 – P2 👉    • Bmate301 module 2 Model Question Paper 2  

M3 – P1 👉    • Bmate301 module 3 Model Question Paper 1  
M3 – P2 👉    • Bmate301 module 3 Model Question Paper 2  

M4 – P1 👉    • Bmate301 module 4 Model Question Paper 1  
M4 – P2 👉    • Bmate301 module 4 Model Question Paper 2  

M5 – P1 👉    • Bmate301 module 5 Model Question Paper 1  
M5 – P2 👉    • Bmate301 module 5 Model Question Paper 2  

🚨 BMATEC301 – Mathematics-III (VTU 2023–24) | EC Engineering

📌 Concept Playlists (Module-wise)

🔹 Module 1 – Fourier Series & Practical Harmonic Analysis
👉    • Fourier Series & Practical Harmonic Analys...  

🔹 Module 2 – Infinite & Discrete Fourier Transforms
👉    • Infinite & Discrete Fourier Transforms | B...  

🔹 Module 3 – Z Transforms
👉    • Z Transforms | BMATEC301 – Module 3 | Math...  

🔹 Module 4 – Higher Order Differential Equations
👉    • Ordinary Differential Equations of Higher ...  

🔹 Module 5 – Curve Fitting, Correlation & Regression
👉    • Curve Fitting, Correlation & Regression | ...  

📝 Model Question Papers – BMATEC301 (EC)

🔸 M1 – P1 👉    • Bmatec301 module 1 Model Question Paper 1  
🔸 M1 – P2 👉    • Bmatec301 module 1 Model Question Paper 2  

🔸 M2 – P1 👉    • Bmatec301 module 2 Model Question Paper 1  
🔸 M2 – P2 👉    • Bmatec301 module 2 Model Question Paper 2  

🔸 M3 – P1 👉    • Bmatec301 module 3 Model Question Paper 1  
🔸 M3 – P2 👉    • Bmatec301 module 3 Model Question Paper 2  

🔸 M4 – P1 👉    • Bmatec301 module 4 Model Question Paper 1  
🔸 M4 – P2 👉    • Bmatec301 module 4 Model Question Paper 2  

🔸 M5 – P1 👉    • Bmatec301 module 5 Model Question Paper 1  
🔸 M5 – P2 👉    • Bmatec301 module 5 Model Question Paper 2  

🆕 High-Weight Playlists (Very Important)

⭐ Fourier Transform
👉    • Fourier Transform  

⭐ Fourier Sine & Cosine Transform
👉    • Fourier sine and cosine transform  

⭐ Z Transform
👉    • Z transform  

📌 Recommended Study Order
High-weight topics ➝ Concept playlists ➝ Model question papers


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https://t.me/vtumathswithmathematicst...


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