13-LAC-Unit-02-Linearly Independent and Dependent of Vectors-01

Linear Algebra and Calculus for Engineering Students | Comprehensive Video Series
Welcome to our dedicated playlist on Linear Algebra and Calculus, designed specifically for engineering students!
🎓 This series covers the complete syllabus for the course "Linear Algebra and Calculus" including theory, problem-solving, and application-based learning.
What to Expect:
✔️ Concise Videos: Each lecture is under 20 minutes for efficient learning.
✔️ Exam-Focused: Previous years' examination questions are solved to help you excel in tests.
✔️ Concept Clarity: Definitions and concepts are thoroughly explained during problem-solving sessions.
✔️ Easy-to-Understand Language: Delivered in simple English for maximum comprehension.
Topics Covered:
1️⃣ Matrices: Rank, Canonical Form, Normal Form, Eigenvalues and Eigenvectors, and Engineering Applications.
2️⃣ Linear Algebra: Vector Spaces, Subspaces, Linear Mapping, Rank-Nullity Theorem, and Inner Product Spaces.
3️⃣ Calculus: Limits, Continuity, Differentiation, Successive Differentiation, and Theorems of Rolle, Lagrange, and Cauchy.
4️⃣ Series Expansion: Convergence Tests, Power Series, Taylor's and McLaurin’s Series, and Standard Function Expansions.
5️⃣ Integral Calculus and Fourier Series: Reduction Formulae, Beta and Gamma Functions, and Harmonic Analysis.
Who Should Watch?
Engineering Students: Covers full syllabus with practical problem-solving.
Self-Learners: Learn at your pace with structured content.
Competitive Exam Aspirants: Strengthen your mathematical foundation.
Resources:
📚 References include books like Advanced Engineering Mathematics by Erwin Kreyszig and Thomas’ Calculus by Maurice D. Weir.