POINT SET TOPOLOGY| PART-1| OPEN, CLOSED & COMPACT SETS| UNIT-2(SET THEORY)|MASTER CADRE PUNJAB MATH

Описание: POINT SET TOPOLOGY|PART-1|OPEN, CLOSED & COMPACT SETS|UNIT-2(SET THEORY)|MASTER CADRE PUNJAB MATH| 100% SUCCESS FORMULA

Welcome to our comprehensive lecture series designed specifically for Master Cadre Punjab - Math aspirants!

IN THS LECTURE:
Elements of point set theory including properties of open, closed and compact sets.

Syllabus of Unit-2 has been covered extensively in 5 lectures.

Syllabus of Unit-2 (ELEMENTARY SET THEORY):
Sets and their representations. Empty set, Finite & Infinite sets, Equal sets. Subsets, Subsets of the set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set, Properties of complement sets.
Some basic notation of set theory, countable and uncountable sets. Supremum and infimum of a set. Elements of point set theory including properties of open, closed and compact sets. Bolzano Welerstrass theorem, Heine Borel theorem.

About the exam: MASTER CADRE MATH is a merit- based exam for getting government job in Punjab education department as TGT MATH in Govt schools of Punjab.

Eligibility for appearing in this exam is Graduation, B.Ed. & PSTET.

Exam Conducted by: EDUCATION RECRUITMENT BOARD, PUNJAB GOVT.

LIST OF UNITS IN SYLLABUS:
1. Matrices & Determinants
2. Elementary set theory
3. Sequence and series
4. Binomial Theorem
5. Continuity and Differentiability
6. Applications of Derivatives
7. Limits and Derivatives
8. Integrals
9. Differential Equations
10. Vectors
11. Straight Lines
12. Conic Sections
13. Introduction to Three-dimensional Geometry
14. Three-dimensional Geometry
15. Complex Numbers and Quadratic Equations
16. Trigonometric Functions
17. Limit and Continuity of functions of two variables
18. Permutations & Combinations
19. Abstract algebra
20. Numerical Analysis
21. Number Theory
22. Mathematical Reasoning
23. Statistics
24. Probability
25. Linear Programming Problems
26. Statics
27. Equilibrium
28. Dynamics

Who Should Watch: This lecture is tailored for Master Cadre Math aspirants. It’s also valuable for anyone interested in deepening their understanding of this fundamental mathematical concept.

by:
Prof. Piyush Goyal
M.Sc. (Mathematics),
CSIR- UGC- NET- JRF [qualified 9 times including AIR-3 (Dec-2015) & AIR-5 (June-2016)],
IIT-GATE qualified,
Fellow, NPDE-TCA, IIT BOMBAY, IIT DELHI, IIT KANPUR, TIFR MUMBAI, TIFR-CAM BANGALORE
Teaching experience of more than 14 years to UG & PG Classes.

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