The Professor
The Professor
  • Видео 93
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L-8 | Fourier Series on a General Interval: Derivation & Applications | Problems
Unlock the power of Fourier Series! In this video, we'll explore the Fourier Series expansion on a general interval [a, b], covering:
Topics:
1. Introduction to Fourier Series
2. Derivation of Fourier Series on [a, b]
3. Calculation of Fourier Coefficients
4. Convergence and Orthogonality
5. Applications in Physics, Engineering, and Signal Processing
Key Takeaways:
- Understand Fourier Series expansion on [a, b]
- Learn to calculate Fourier coefficients
- Apply Fourier Series to real-world problems
- Visualize the convergence of Fourier Series
Who is this video for:
- Students of mathematics, physics, and engineering
- Researchers in signal processing and analysis
- Anyone interested in mathematical mod...
Просмотров: 2

Видео

L-1 | Exercise 2.9 | Increasing/Decreasing Functions & Extreme Value Problems
Просмотров 82 часа назад
Welcome to this calculus tutorial, where we'll explore increasing and decreasing functions, and extreme value problems from Exercise 2.9. In this video, we'll delve into the fundamental concepts and techniques to help you master these essential topics. Topics Covered: 1. Increasing and Decreasing Functions - Definition and notation - Graphical analysis - First derivative test 2. Extreme Value P...
Exercise 2.8 | Maclaurin and Taylor Series | Problems and Solutions
Просмотров 114 часа назад
Master Maclaurin and Taylor series with this comprehensive video! We'll solve challenging problems from Exercise 2.8, covering: - Maclaurin series expansion - Taylor series expansion - Applications in calculus and mathematical physics Video Content: - Introduction to Maclaurin and Taylor series - Maclaurin series expansion of polynomial functions - Taylor series expansion of trigonometric funct...
L-3 | Rodrigues Formula | Legendre's Differential Equation | Mathematical Physics
Просмотров 97 часов назад
Unlock the power of Rodrigues Formula in solving Legendre's Differential Equation! In this video, we'll derive and apply Rodrigues Formula to obtain Legendre polynomials, exploring its significance in mathematical physics. Topics Covered: - Introduction to Legendre's Differential Equation - Rodrigues Formula derivation - Legendre polynomials and their properties - Orthogonality and normalizatio...
L-7 | Fourier Series of Even and Odd Functions | Simplify Your Calculations!
Просмотров 109 часов назад
In this video, we'll explore the properties of even and odd functions and how they can be used to simplify Fourier series calculations. We'll start with the definitions of even and odd functions, then dive into the process of finding their Fourier series. We'll use clear explanations, visualizations, and examples to help you understand the concept. Topics Covered: - Definitions of even and odd ...
L-2 | Exercise 2.7 | Higher Derivatives | Problems and Solutions
Просмотров 2612 часов назад
Improve your calculus skills by solving higher derivative problems from Exercise 2.7! In this video, we'll work through challenging problems, providing step-by-step solutions and explanations. Topics Covered: - Higher derivatives (2nd, 3rd, 4th, etc.) - Differentiation rules (product, quotient, chain) - Applications of higher derivatives. Video Content: - Introduction to higher derivatives Find...
L-1 | Exercise 2.7 | Higher Derivatives | Problems and Solutions
Просмотров 1314 часов назад
Improve your calculus skills by solving higher derivative problems from Exercise 2.7! In this video, we'll work through challenging problems, providing step-by-step solutions and explanations. Topics Covered: - Higher derivatives (2nd, 3rd, 4th, etc.) - Differentiation rules (product, quotient, chain) - Applications of higher derivatives. Video Content: - Introduction to higher derivatives Find...
L-2 | Generating Function of Legendre's Equation | Mathematical Physics
Просмотров 1516 часов назад
Unlock the power of generating functions in solving Legendre's Equation! In this video, we'll explore the generating function approach to deriving Legendre polynomials and understanding their properties. Topics Covered: - Introduction to generating functions - Derivation of the generating function for Legendre polynomials - Expansion of the generating function - Recurrence relations and orthogo...
How to Pass Maths Part 1 Supplementary Exams 2024 | Ultimate Study Guide
Просмотров 1419 часов назад
Struggling with maths supplementary exams? Don't worry! In this video, we'll share expert tips and strategies to help you pass your maths supplementary exams with confidence. Topics Covered: - Understanding the exam format and syllabus - Creating a study plan and timeline - Essential study materials and resources - Tips for mastering key maths concepts - Strategies for tackling common exam ques...
L-3 | Exercise 2.6 | Derivatives of Exponential, Hyperbolic and Logarithmic Functions
Просмотров 5221 час назад
In this video, we'll explore the derivatives of exponential and hyperbolic functions, crucial concepts in calculus and mathematical analysis. We'll derive the formulas for the derivatives of exp(x), log(x), sinh(x), cosh(x), tanh(x), and their inverses. Topics Covered: - Derivatives of exponential functions (exp(x), log(x)) - Derivatives of hyperbolic functions (sinh(x), cosh(x), tanh(x)) and t...
Chapter 1: Functions and Limits | All Long Questions | FSc / ICs Part 2
Просмотров 40День назад
Master Chapter 1 of your maths curriculum with this comprehensive video! We'll cover all long questions from "Functions and Limits", providing step-by-step solutions and explanations. Topics Covered: - Composition of functions - Inverse functions - Limits (left-hand, right-hand, and two-sided) - Sandwich theorem - Algebra of limits - Applications of limits Video Content: - Introduction to Chapt...
L-2 | Exercise 2.6 | Derivatives of Exponential and Hyperbolic Functions
Просмотров 20День назад
In this video, we'll explore the derivatives of exponential and hyperbolic functions, crucial concepts in calculus and mathematical analysis. We'll derive the formulas for the derivatives of exp(x), log(x), sinh(x), cosh(x), tanh(x), and their inverses. Topics Covered: - Derivatives of exponential functions (exp(x), log(x)) - Derivatives of hyperbolic functions (sinh(x), cosh(x), tanh(x)) and t...
L-1 | Exercise 2.6 | Derivatives of Exponential and Hyperbolic Functions
Просмотров 14День назад
L-1 | Exercise 2.6 | Derivatives of Exponential and Hyperbolic Functions
L-1 | Series Solution of Legendre's Differential Equation
Просмотров 24День назад
L-1 | Series Solution of Legendre's Differential Equation
L-4 | Exercise 2.5 | Derivatives of Inverse Trigonometric Functions | Proofs and Examples
Просмотров 1614 дней назад
L-4 | Exercise 2.5 | Derivatives of Inverse Trigonometric Functions | Proofs and Examples
Derivatives of Inverse Trigonometric Functions | Proofs and Examples
Просмотров 1114 дней назад
Derivatives of Inverse Trigonometric Functions | Proofs and Examples
How to Pass Maths Supplementary Exams 2024 | Ultimate Study Guide
Просмотров 2514 дней назад
How to Pass Maths Supplementary Exams 2024 | Ultimate Study Guide
L-3 | Exercise 2.5 | Derivatives of the Trigonometric Functions | Inter Part 2
Просмотров 2114 дней назад
L-3 | Exercise 2.5 | Derivatives of the Trigonometric Functions | Inter Part 2
L-2 | Exercise 2.5 | Derivatives of the Trigonometric Functions | Inter Part 2
Просмотров 2214 дней назад
L-2 | Exercise 2.5 | Derivatives of the Trigonometric Functions | Inter Part 2
L-1 | Exercise 2.5 | Derivatives of Trigonometric Functions | Proofs and Applications
Просмотров 3814 дней назад
L-1 | Exercise 2.5 | Derivatives of Trigonometric Functions | Proofs and Applications
L-3 | Exercise 2.4 | Derivative of a Function w.r.t. Another Function (Chain Rule)
Просмотров 4514 дней назад
L-3 | Exercise 2.4 | Derivative of a Function w.r.t. Another Function (Chain Rule)
L-2 | Exercise 2.4 | Implicit Differentiation & Chain Rule
Просмотров 3921 день назад
L-2 | Exercise 2.4 | Implicit Differentiation & Chain Rule
L-1 | Exercise 2.4 | Chain Rule of Differentiation: A Step-by-Step Guide
Просмотров 3121 день назад
L-1 | Exercise 2.4 | Chain Rule of Differentiation: A Step-by-Step Guide
L-2 | Exercise 2.3 | Differentiation Rules: A Step-by-Step Guide
Просмотров 2221 день назад
L-2 | Exercise 2.3 | Differentiation Rules: A Step-by-Step Guide
L-1 | Exercise 2.3 | Differentiation Rules: A Step-by-Step Guide
Просмотров 3121 день назад
L-1 | Exercise 2.3 | Differentiation Rules: A Step-by-Step Guide
L-6 | Fourier Series of Even and Odd Functions | Simplify Your Calculations!
Просмотров 2821 день назад
L-6 | Fourier Series of Even and Odd Functions | Simplify Your Calculations!
L-5 | Fourier Series of Piecewise Functions | A Step-by-Step Guide
Просмотров 1921 день назад
L-5 | Fourier Series of Piecewise Functions | A Step-by-Step Guide
Exercise 2.2 | Understanding Derivatives from First Principles | A Step-by-Step Guide
Просмотров 4221 день назад
Exercise 2.2 | Understanding Derivatives from First Principles | A Step-by-Step Guide
L-4 | Fourier Series of Discontinuous Functions: A Detailed Explanation
Просмотров 2528 дней назад
L-4 | Fourier Series of Discontinuous Functions: A Detailed Explanation
L-2 | Exercise 2.1 | Chapter 2 | Differentiation | Intermediate part 2 | PTBB
Просмотров 3328 дней назад
L-2 | Exercise 2.1 | Chapter 2 | Differentiation | Intermediate part 2 | PTBB

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