BSc Math Algebra Lec-01 | Syllabus, Topics & Exam Pattern Explained | MASC 02 | MAGE 01 | MAGE 02

Описание: Welcome to BSc Second Semester Mathematics – Algebra Course.

In this Lecture-01, we discuss the complete syllabus, exam pattern and course introduction of BSc Semester-2 Algebra so that students can clearly understand what topics will be covered in this course.

इस वीडियो में BSc Second Semester Mathematics (Algebra) का पूरा syllabus, exam pattern और course structure detail में explain किया गया है।
आपको यह भी बताया गया है कि इस course को किस प्रकार पढ़ना चाहिए ताकि exam preparation आसान हो सके।

इस course में algebra के कई important topics पढ़ाए जाएंगे जैसे Matrix Algebra, Set Theory, Theory of Equations और Group Theory।

यह lecture खासतौर पर BSc Mathematics, BA Mathematics, Engineering Mathematics और सभी UG mathematics students के लिए useful है।

📚 Topics Included in This Course

Matrix Algebra
• Elementary operations of matrices
• Inverse of matrix
• Symmetric and skew symmetric matrices
• Hermitian and skew Hermitian matrices
• Rank of matrix
• Echelon form and normal form
• System of linear equations
• Eigenvalues and eigenvectors
• Cayley Hamilton theorem

Set Theory and Functions
• Sets and subsets
• Set operations and Venn diagrams
• Finite and infinite sets
• Power set
• Relations and functions
• Equivalence relations
• Partial ordering relations
• Modular arithmetic

Theory of Equations
• Symmetric functions of roots
• Relation between roots and coefficients
• Synthetic division
• Descartes rule of signs
• Solution of cubic equations
• Biquadratic equations

Group Theory
• Definition of group
• Abelian groups
• Subgroups
• Cosets
• Lagrange theorem
• Normal subgroups
• Factor groups

🎯 After watching this lecture you will understand

✔ Complete syllabus of Algebra
✔ Exam pattern of the course
✔ Strategy to study Algebra effectively
✔ Topics that will be covered in upcoming lectures

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