Unit-3-12-MFC-2-How to solve the problems of complex numbers based on Modulus & Argument-Example-07

MFC-II: Mathematical Foundation for Computing-II (Video Series)
Welcome to the Mathematical Foundation of Computing - II (MFC-II) video series, meticulously designed for Second Semester Engineering Students of MIT School of Computing, MIT Art Design and Technology University, Pune. This playlist is your ultimate resource for mastering mathematical concepts essential for computational applications, as outlined in the syllabus for the course 23ASH1107. Each video is thoughtfully created to ensure learning is simple, efficient, and directly aligned with the course objectives.
Key Features of This Playlist:
1. Short and Engaging Videos: Each video is under 20 minutes, ensuring focused and effective learning.
2. Exam-Centric Content: Includes detailed solutions to previous years' questions to help you prepare confidently for assessments.
3. Simplified Explanations: Delivered in very simple English, making it easy for students of all backgrounds to grasp the material.
4. Formula and Concept Integration: Important definitions and formulas are explained and applied while solving problems.
5. Interactive Chapter-Wise MCQ Tests: After completing each chapter, take quizzes to test your understanding and reinforce key concepts.
What You’ll Learn:
Unit I: Linear Algebra - I
• Review of Matrix Algebra
• Rank, Canonical Form, Normal Form
• Solution of System of Linear Equations using Matrix Methods
• Linear and Orthogonal Transformations
• Applications of Matrix Operations and Transformations using Python
Unit II: Linear Algebra - II
• Vector Spaces and Subspaces
• Linear Dependence and Independence of Vectors
• Basis and Dimensions
• Row, Column, and Null Spaces
• Rank-Nullity Theorem
• Applications of Linear Algebra to Problems in Data Science
Unit III: Complex Numbers
• Introduction and Geometric Representation of Complex Numbers
• Argand Diagram and Algebra of Complex Numbers
• De Moivre’s Theorem
• Solution of Algebraic Equations using De Moivre’s Theorem
• Logarithms of Complex Numbers
• Hyperbolic Functions and Inverse Hyperbolic Functions
• Osborn Rule for Hyperbolic Formulae
Unit IV: Differential Calculus of Univariate Functions
• Rolle’s Mean Value Theorem
• Lagrange’s Mean Value Theorem
• Cauchy’s Mean Value Theorem
• Successive Differentiation
• Taylor’s Series Expansion
• McLaurin’s Series Expansion
• Expansion of Standard Functions
Unit V: Integral Calculus and Fourier Series
• Reduction Formulae
• Beta and Gamma Functions
• Dirichlet’s Conditions
• Fourier Series: Full Range and Half Range
• Harmonic Analysis
• Demonstration of Fourier Series in Image Processing

Why This Playlist?
This series simplifies complex mathematical concepts and provides students with tools for problem-solving in engineering fields. The engaging format ensures you stay motivated while gaining a deep understanding of each topic.
Whether you’re preparing for exams, working on projects, or exploring the mathematical foundations of computing, this playlist is the perfect guide.

Видео Unit-3-12-MFC-2-How to solve the problems of complex numbers based on Modulus & Argument-Example-07 канала KRISHNA KUMAR