[CoursesGhar.Com] - Fundamentals of Mathematics

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1.1 kB

1. Introduction/1. Introduction.mp4

7.5 MB

10. SET OPERATIONS - Venn Diagrams - Problems Solutions/1. Verify the Union & Integral of Difference sets with the help of Venn Diagrams.mp4

68 MB

11. NUMBER SYSTEM - Real Numbers - Addition Laws/1. Closure Law of Addition. Give an example and Verify it mathematically.mp4

18 MB

11. NUMBER SYSTEM - Real Numbers - Addition Laws/2. Commutative Law of Addition. Give an example and Verify it mathematically.mp4

10 MB

11. NUMBER SYSTEM - Real Numbers - Addition Laws/3. Associative Law of Addition. Give an example and Verify it mathematically.mp4

14 MB

11. NUMBER SYSTEM - Real Numbers - Addition Laws/4. Additive Identity Law of Addition. Give an example and Verify it mathematically.mp4

19 MB

11. NUMBER SYSTEM - Real Numbers - Addition Laws/5. Additive Inverse Law of Addition. Give an example and Verify it mathematically.mp4

19 MB

12. NUMBER SYSTEM - Real Numbers - Multiplication Laws/1. Closure Law of Multiplication. Give an example and Verify it mathematically.mp4

17 MB

12. NUMBER SYSTEM - Real Numbers - Multiplication Laws/2. Commutative Law of Multiplication. Give an example and Verify it mathematically.mp4

14 MB

12. NUMBER SYSTEM - Real Numbers - Multiplication Laws/3. Associative Law of Multiplication. Give an example and Verify it mathematically.mp4

16 MB

12. NUMBER SYSTEM - Real Numbers - Multiplication Laws/4. Multiplicative Identity Law. Give an example and Verify it mathematically.mp4

28 MB

12. NUMBER SYSTEM - Real Numbers - Multiplication Laws/5. Multiplicative Inverse Law. Give an example and Verify it mathematically.mp4

45 MB

12. NUMBER SYSTEM - Real Numbers - Multiplication Laws/6. Multiplication - Addition Laws. Give an example and prove it mathematically.mp4

36 MB

13. NUMBER SYSTEM - Real Numbers - Properties of Inequality/1. Trichotomy Property. Prove it mathematically.mp4

6.9 MB

13. NUMBER SYSTEM - Real Numbers - Properties of Inequality/2. Trichotomy Product Property. Prove it mathematically.mp4

22 MB

13. NUMBER SYSTEM - Real Numbers - Properties of Inequality/3. Transitive Property. Prove it mathematically with the help of an example.mp4

20 MB

13. NUMBER SYSTEM - Real Numbers - Properties of Inequality/4. Additive Property. Prove it mathematically with the help of an example.mp4

20 MB

13. NUMBER SYSTEM - Real Numbers - Properties of Inequality/5. Multiplicative Property. Prove it mathematically with the help of an example.mp4

54 MB

14. NUMBER SYSTEM - Real Numbers - Properties of Equality/1. Reflexive Property of inequality. Give an example and prove it mathematically.mp4

11 MB

14. NUMBER SYSTEM - Real Numbers - Properties of Equality/2. Symmetric Property of inequality. Prove it mathematically and give an example.mp4

26 MB

14. NUMBER SYSTEM - Real Numbers - Properties of Equality/3. Transitive Property of inequality. Prove it mathematically and give an example.mp4

14 MB

14. NUMBER SYSTEM - Real Numbers - Properties of Equality/4. Additive Property of inequality. Prove it mathematically and give an example.mp4

21 MB

14. NUMBER SYSTEM - Real Numbers - Properties of Equality/5. Multiplicative Property of inequality. Prove it mathematically with an example.mp4

32 MB

14. NUMBER SYSTEM - Real Numbers - Properties of Equality/6. Cancellation Property w.r.t Addition. Prove it mathematically with an example.mp4

40 MB

14. NUMBER SYSTEM - Real Numbers - Properties of Equality/7. Cancellation Property w.r.t Multiplication. Prove it mathematically.mp4

31 MB

15. NUMBER SYSTEM - Complex Numbers - Introduction to Complex Numbers/1. What is complex numbers Demonstrate how it looks like mathematically.mp4

15 MB

15. NUMBER SYSTEM - Complex Numbers - Introduction to Complex Numbers/2. Conjugate Property of a complex number. Show the conjugate of a number.mp4

11 MB

15. NUMBER SYSTEM - Complex Numbers - Introduction to Complex Numbers/3. Modulus of a complex number. How to calculate the modulus of a complex number.mp4

14 MB

15. NUMBER SYSTEM - Complex Numbers - Introduction to Complex Numbers/4. Derivation of a complex number. How to derive a complex form mathematically.mp4

104 MB

16. NUMBER SYSTEM - Properties of Complex Numbers - Addition Laws/1. Closure Law of Addition for a complex number. Verify it mathematically.mp4

19 MB

16. NUMBER SYSTEM - Properties of Complex Numbers - Addition Laws/2. Commutative Law of Addition for a complex number and Verify it mathematically.mp4

8.1 MB

16. NUMBER SYSTEM - Properties of Complex Numbers - Addition Laws/3. Associative Law of Addition for a complex number and Verify it mathematically.mp4

9.2 MB

16. NUMBER SYSTEM - Properties of Complex Numbers - Addition Laws/4. Additive Identity Law for a complex number and Verify it mathematically.mp4

13 MB

16. NUMBER SYSTEM - Properties of Complex Numbers - Addition Laws/5. Additive Inverse Law for a complex number. Verify it mathematically.mp4

16 MB

17. NUMBER SYSTEM - Properties of Complex Numbers - Multiplication Laws/1. Closure Law of Multiplication of a complex number.mp4

8.9 MB

17. NUMBER SYSTEM - Properties of Complex Numbers - Multiplication Laws/2. Commutative Law of Multiplication of a complex number.mp4

5.6 MB

17. NUMBER SYSTEM - Properties of Complex Numbers - Multiplication Laws/3. Associative Law of Multiplication of a complex number.mp4

8.5 MB

17. NUMBER SYSTEM - Properties of Complex Numbers - Multiplication Laws/4. Multiplicative Identity Law of a complex number.mp4

15 MB

17. NUMBER SYSTEM - Properties of Complex Numbers - Multiplication Laws/5. Multiplicative Inverse Law of a complex number.mp4

20 MB

17. NUMBER SYSTEM - Properties of Complex Numbers - Multiplication Laws/6. Addition-Multiplication Law of a complex number.mp4

9.8 MB

18. NUMBER SYSTEM - Complex Numbers - Verification of Laws of Addition/1. Verify the Closure Law of Addition of complex no. Prove it by giving an example.mp4

35 MB

18. NUMBER SYSTEM - Complex Numbers - Verification of Laws of Addition/2. Verify Commutative Law of Addition of complex no. Prove it by giving an example.mp4

37 MB

18. NUMBER SYSTEM - Complex Numbers - Verification of Laws of Addition/3. Verify Associative Law of Addition of complex no. Prove it by giving an example.mp4

76 MB

18. NUMBER SYSTEM - Complex Numbers - Verification of Laws of Addition/4. Verify Additive Identity Law of complex no. Prove it by giving an example.mp4

21 MB

18. NUMBER SYSTEM - Complex Numbers - Verification of Laws of Addition/5. Verify the Additive Inverse Law of a complex number. Prove it mathematically.mp4

12 MB

19. NUMBER SYSTEM - Complex Numbers - Verification of Laws of Multiplication/1. Verify Closure Law of Multiplication of complex no. Give an example to prove it.mp4

71 MB

19. NUMBER SYSTEM - Complex Numbers - Verification of Laws of Multiplication/2. Verify Commutative Law of Multiplication of complex no. Give an example to prove.mp4

66 MB

19. NUMBER SYSTEM - Complex Numbers - Verification of Laws of Multiplication/3. Verify Associative Law of Multiplication of complex no. Give an example to prove.mp4

171 MB

2. SETS - Names of Sets/1. What is set Introduction to a set.mp4

33 MB

2. SETS - Names of Sets/10. Odd Integers.mp4

11 MB

2. SETS - Names of Sets/11. Prime Numbers.mp4

24 MB

2. SETS - Names of Sets/12. Rational Numbers.mp4

45 MB

2. SETS - Names of Sets/13. Irrational Numbers.mp4

29 MB

2. SETS - Names of Sets/14. Real Numbers.mp4

12 MB

2. SETS - Names of Sets/2. Natural Numbers.mp4

8.8 MB

2. SETS - Names of Sets/3. Whole Numbers.mp4

9.5 MB

2. SETS - Names of Sets/4. Integers.mp4

17 MB

2. SETS - Names of Sets/5. Positive Integers.mp4

11 MB

2. SETS - Names of Sets/6. Negative Integers.mp4

5.0 MB

2. SETS - Names of Sets/7. Even Numbers.mp4

19 MB

2. SETS - Names of Sets/8. Odd Numbers.mp4

9.1 MB

2. SETS - Names of Sets/9. Even Integers.mp4

8.4 MB

20. NUMBER SYSTEM - Complex Numbers - Problem Solution/1. Problem 1 Solve the given complex expressions to their simplified forms.mp4

74 MB

20. NUMBER SYSTEM - Complex Numbers - Problem Solution/2. Transform the given expressions into complex forms.mp4

38 MB

20. NUMBER SYSTEM - Complex Numbers - Problem Solution/3. Problem 3 Show that the sum or product of any two conjugate numbers is real.mp4

42 MB

20. NUMBER SYSTEM - Complex Numbers - Problem Solution/4. Problem 4 Write the complex multiplicative inverse for the given expressions.mp4

65 MB

20. NUMBER SYSTEM - Complex Numbers - Problem Solution/5. Problem 5 Factorize the given expressions into complex forms.mp4

50 MB

20. NUMBER SYSTEM - Complex Numbers - Problem Solution/6. Problem 6 Write the expression as a single complex form by separating the terms.mp4

128 MB

21. BINARY OPERATION OF SETS - Addition Properties/1. What is binary operation Explain it mathematically by giving the examples.mp4

69 MB

21. BINARY OPERATION OF SETS - Addition Properties/2. Closure Addition Property of binary operation. To which sets it can applicable.mp4

46 MB

21. BINARY OPERATION OF SETS - Addition Properties/3. Commutative Addition of binary operation. To which sets it can be applicable.mp4

52 MB

21. BINARY OPERATION OF SETS - Addition Properties/4. Associative Addition of binary operation. To which sets it can be applicable.mp4

22 MB

21. BINARY OPERATION OF SETS - Addition Properties/5. Additive Identity of binary operation. To which sets it can be applicable.mp4

65 MB

21. BINARY OPERATION OF SETS - Addition Properties/6. Additive Inverse of binary operation. To which sets it can be applicable.mp4

75 MB

22. BINARY OPERATION OF SETS - Multiplication Properties/1. Closure Multiplication of binary operation. To which sets it can be applicable.mp4

32 MB

22. BINARY OPERATION OF SETS - Multiplication Properties/2. Commutative Multiplication of binary operation.To which sets it can applicable.mp4

26 MB

22. BINARY OPERATION OF SETS - Multiplication Properties/3. Associative Multiplication of binary operation. To which sets it is applicable.mp4

19 MB

22. BINARY OPERATION OF SETS - Multiplication Properties/4. Multiplicative Identity of binary operation. To which sets it can be applicable.mp4

47 MB

22. BINARY OPERATION OF SETS - Multiplication Properties/5. Multiplicative Inverse of binary operation. To which sets it can be applicable.mp4

64 MB

23. COORDINATE SYSTEM - Cartesian System - X-Y Plane - Problem Solution/1. What is Cartesian coordinate systemsDraw Cartesian xy plane with all parameters.mp4

72 MB

23. COORDINATE SYSTEM - Cartesian System - X-Y Plane - Problem Solution/2. Ordered Pairs of X-Y Cartesian coordinate system.mp4

84 MB

23. COORDINATE SYSTEM - Cartesian System - X-Y Plane - Problem Solution/3. Addition of X-Y Cartesian ordered pairs.mp4

13 MB

23. COORDINATE SYSTEM - Cartesian System - X-Y Plane - Problem Solution/4. Product of X-Y Cartesian ordered pairs.mp4

54 MB

23. COORDINATE SYSTEM - Cartesian System - X-Y Plane - Problem Solution/5. Problem 1 Plot the given ordered pairs in X-Y Cartesian plane.mp4

34 MB

23. COORDINATE SYSTEM - Cartesian System - X-Y Plane - Problem Solution/6. Problem 2 Write the ordered pairs for the plotted points in X-Y Cartesian plane.mp4

44 MB

24. COORDINATE SYSTEM - Cartesian System - Complex Plane/1. What is Cartesian complex coordinates Draw complex plane with all parameters.mp4

37 MB

24. COORDINATE SYSTEM - Cartesian System - Complex Plane/2. Ordered Pairs of Complex Cartesian coordinate system.mp4

44 MB

25. COORDINATE SYSTEM - Polar System - Polar Plane, Real Plane and Complex Plane/1. Show the Polar form and draw the polar coordinate system with all the parameters.mp4

21 MB

25. COORDINATE SYSTEM - Polar System - Polar Plane, Real Plane and Complex Plane/2. Show the Real form and draw the Real coordinate system with all the parameters.mp4

39 MB

25. COORDINATE SYSTEM - Polar System - Polar Plane, Real Plane and Complex Plane/3. Show Polar Complex form and draw its coordinate system with all the parameters.mp4

42 MB

25. COORDINATE SYSTEM - Polar System - Polar Plane, Real Plane and Complex Plane/4. How to make a Polar equations of the polar coordinate system.mp4

30 MB

25. COORDINATE SYSTEM - Polar System - Polar Plane, Real Plane and Complex Plane/5. Problem 1 Transform the Cartesian complex form into Polar form.mp4

25 MB

25. COORDINATE SYSTEM - Polar System - Polar Plane, Real Plane and Complex Plane/6. Problem 2 Transform the Cartesian Real form into Polar form.mp4

28 MB

26. GROUPS - Categories of Groups/1. Name the five categories of the groups.mp4

10 MB

26. GROUPS - Categories of Groups/2. Groupoid. Which group is said to be a groupoid. Explain it logically.mp4

30 MB

26. GROUPS - Categories of Groups/3. Monoid. Which group is said to be a Monoid Prove it mathematically & logically.mp4

36 MB

26. GROUPS - Categories of Groups/4. Semi-Group. Which group is said to be a Semi-Group Prove it.mp4

31 MB

26. GROUPS - Categories of Groups/5. Group. Which is the pure form of group Explain and prove it.mp4

52 MB

26. GROUPS - Categories of Groups/6. Abelian Group. Which group is said to be an Abelian Explain and prove it.mp4

50 MB

27. GROUPS - Problem Solution/1. Construct the Adjoining table by applying addition operation. Identify the group.mp4

119 MB

27. GROUPS - Problem Solution/2. Construct Adjoining table of a set with even & odd elements. Identify the group.mp4

98 MB

3. SETS - Types of Sets/1. How many types of sets we have.mp4

5.5 MB

3. SETS - Types of Sets/10. Improper subset.mp4

16 MB

3. SETS - Types of Sets/11. Power set.mp4

64 MB

3. SETS - Types of Sets/12. Power set - Learn to derive all the subsets of a set with four elements.mp4

72 MB

3. SETS - Types of Sets/13. Power set - Learn to derive all the subsets of a set with five elements.mp4

162 MB

3. SETS - Types of Sets/14. Universal set.mp4

38 MB

3. SETS - Types of Sets/2. Null OR Empty set.mp4

13 MB

3. SETS - Types of Sets/3. Singleton set.mp4

16 MB

3. SETS - Types of Sets/4. Finite set.mp4

20 MB

3. SETS - Types of Sets/5. Infinite set.mp4

12 MB

3. SETS - Types of Sets/6. Equal set.mp4

34 MB

3. SETS - Types of Sets/7. Equivalent set.mp4

35 MB

3. SETS - Types of Sets/8. Subset.mp4

26 MB

3. SETS - Types of Sets/9. Proper subset.mp4

57 MB

4. SETS - Forms of Sets/1. How many forms of sets we have.mp4

3.1 MB

4. SETS - Forms of Sets/2. Tabular form.mp4

16 MB

4. SETS - Forms of Sets/3. Descriptive form.mp4

12 MB

4. SETS - Forms of Sets/4. Set-builder form.mp4

53 MB

5. SETS - Some Problems' Solutions/1. Problem 1 Write all the given sets in set-builder forms.mp4

180 MB

5. SETS - Some Problems' Solutions/2. Problem 2 Write all the given sets in Tabular forms.mp4

116 MB

5. SETS - Some Problems' Solutions/3. Problem 3 Write all the given sets in Descriptive forms.mp4

149 MB

5. SETS - Some Problems' Solutions/4. Problem 4 Identify the Finite and Infinite sets among all the give sets.mp4

144 MB

5. SETS - Some Problems' Solutions/5. Problem 5 Identify the equal and equivalent sets out of the give sets.mp4

134 MB

5. SETS - Some Problems' Solutions/6. Problem 6 Write the Proper and Improper subsets of the given sets.mp4

220 MB

5. SETS - Some Problems' Solutions/7. Problem 7 Identify and write all the subsets for a power set of the given set.mp4

186 MB

5. SETS - Some Problems' Solutions/8. Problem 8 Identify the True and False sets among the give sets.mp4

50 MB

6. SET OPERATIONS - Types of Set Operations/1. Union of sets. What is Union of sets and its notation. Explain it with example.mp4

25 MB

6. SET OPERATIONS - Types of Set Operations/2. Intersection of sets and its notation. Explain it with example.mp4

26 MB

6. SET OPERATIONS - Types of Set Operations/3. Disjoint of sets. Explanation of a disjoint set with the relevant example.mp4

22 MB

6. SET OPERATIONS - Types of Set Operations/4. Overlapping of sets. Explanation of an overlapping set with an example.mp4

30 MB

6. SET OPERATIONS - Types of Set Operations/5. Difference of sets. What are its notations Explained with the relevant example.mp4

49 MB

6. SET OPERATIONS - Types of Set Operations/6. Complement of sets. What are the notations Explained with the relevant example.mp4

33 MB

7. SET OPERATIONS - Properties of Set Operations/1. Property 1 Commutative of Union. Verify it mathematically that LHS = RHS.mp4

28 MB

7. SET OPERATIONS - Properties of Set Operations/2. Property 2 Commutative of Intersection. Verify it mathematically that LHS = RHS.mp4

25 MB

7. SET OPERATIONS - Properties of Set Operations/3. Property 3 Associative of Union. Verify it mathematically that LHS = RHS.mp4

41 MB

7. SET OPERATIONS - Properties of Set Operations/4. Property 4 Associative of Intersection. Verify it mathematically that LHS = RHS.mp4

38 MB

7. SET OPERATIONS - Properties of Set Operations/5. Property 5 Distributive of Union over Intersection. Verify it mathematically.mp4

58 MB

7. SET OPERATIONS - Properties of Set Operations/6. Property 6 Distributive of Intersection over Union. Verify it mathematically.mp4

39 MB

8. SET OPERATIONS - De Morgan's Laws/1. What are De Morgan's laws Show the two types of De Morgan's laws.mp4

11 MB

8. SET OPERATIONS - De Morgan's Laws/2. De Morgan's First law. Verify it mathematically and show that the LHS = RHS.mp4

63 MB

8. SET OPERATIONS - De Morgan's Laws/3. De Morgan's 2nd law. Verify it mathematically and show that the LHS = RHS.mp4

41 MB

8. SET OPERATIONS - De Morgan's Laws/4. Prove the De Morgan's First law with an example. Show that the LHS = RHS.mp4

88 MB

8. SET OPERATIONS - De Morgan's Laws/5. Prove the De Morgan's 2nd law with an example. Show that the LHS = RHS.mp4

73 MB

9. SET OPERATIONS - Venn Diagrams/1. What is Venn Diagram.mp4

8.6 MB

9. SET OPERATIONS - Venn Diagrams/2. Show the Venn Diagram for Union & Intersection of the subset of the sets[A⊂B].mp4

66 MB

9. SET OPERATIONS - Venn Diagrams/3. Show the Venn Diagram for Union & Intersection of the subset of the sets[B⊂A].mp4

23 MB

9. SET OPERATIONS - Venn Diagrams/4. Show the Venn Diagram for Union & Intersection of the Disjoint sets.mp4

32 MB

9. SET OPERATIONS - Venn Diagrams/5. Show the Venn Diagram for Union & Intersection of the Overlapping sets.mp4

35 MB

9. SET OPERATIONS - Venn Diagrams/6. Draw the Venn Diagrams for the Difference of the sets.mp4

43 MB

9. SET OPERATIONS - Venn Diagrams/7. Show the Venn Diagram for the Complement of the sets.mp4

24 MB

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