Finite Mathematics | BBA

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    Chapter 1 Sets, Partition and Tree Diagrams (68 videos) (Practice Test)

      1.1: Review of Sets and Sets Operations (Practice Test)
      Set Notation and its Characteristics
    1. Set Notation and its Characteristics
      14544 views
      2. Problem-Set Notation & its Characteristics
    2. Problem-Set Notation & its Characteristics
      1665 views
      3. Descriptive and Tabular Notation
    3. Descriptive and Tabular Notation
      7613 views
      4. Problem-Presentation of a Set
    4. Problem-Presentation of a Set
      490 views
      5. Set Builder Notation
    5. Set Builder Notation
      10597 views
      6. Problem-Set Builder Notation
    6. Problem-Set Builder Notation
      1875 views
      7. Empty set and Singleton Set
    7. Empty set and Singleton Set
      4448 views
      8. Problem1-Empty Set -Singleton Set
    8. Problem1-Empty Set -Singleton Set
      1822 views
      9. Problem2-Empty Set & Singleton Set
    9. Problem2-Empty Set & Singleton Set
      387 views
      10. Equal and equivalent Sets
    10. Equal and equivalent Sets
      5881 views
      11. Problem-Equal and equivalent Sets
    11. Problem-Equal and equivalent Sets
      1728 views
      12. Complement of a Set
    12. Complement of a Set
      4330 views
      13. Problem-Complement of a Set
    13. Problem-Complement of a Set
      1348 views
      14. Subset definition
    14. Subset definition
      3582 views
      15. Problem-Subset
    15. Problem-Subset
      2292 views
      16. Problem-Subset Definition
    16. Problem-Subset Definition
      757 views
      17. Proper and Improper Subset
    17. Proper and Improper Subset
      13991 views
      18. Problem-Proper and Improper Subset
    18. Problem-Proper and Improper Subset
      5085 views
      19. Properties of Subsets
    19. Properties of Subsets
      2340 views
      20. Problem-Properties of Subsets
    20. Problem-Properties of Subsets
      1504 views
      21. Union of two sets
    21. Union of two sets
      6344 views
      22. Problem-Union of two sets
    22. Problem-Union of two sets
      1534 views
      23. Intersection of two sets
    23. Intersection of two sets
      3447 views
      24. Problem-Intersection of two sets
    24. Problem-Intersection of two sets
      1228 views
      25. Cartesian Product of Sets
    25. Cartesian Product of Sets
      4764 views
      26. Problem-Cartesian Product of Sets
    26. Problem-Cartesian Product of Sets
      1382 views
      1.2: Venn Diagrams and Partitions (Practice Test)
      Complement of a Set
    1. Complement of a Set
      4330 views
      2. Problem-Complement of a Set
    2. Problem-Complement of a Set
      1348 views
      3. Commutative Law of Union of Sets
    3. Commutative Law of Union of Sets
      3535 views
      4. Problem-Commutative Law of Union of Sets
    4. Problem-Commutative Law of Union of Sets
      1323 views
      5. Commutative Law of Intersection of Sets
    5. Commutative Law of Intersection of Sets
      1987 views
      6. Problem-Commutative Law of Intersection of Sets
    6. Problem-Commutative Law of Intersection of Sets
      809 views
      7. De Morgans Law for Overlapping Sets
    7. De Morgans Law for Overlapping Sets
      1221 views
      8. Problem-De Morgans Law for Overlapping Sets
    8. Problem-De Morgans Law for Overlapping Sets
      838 views
      9. De Morgans Law for Disjoint Sets
    9. De Morgans Law for Disjoint Sets
      725 views
      10. Problem-De Morgans Law for Disjoint Sets
    10. Problem-De Morgans Law for Disjoint Sets
      528 views
      11. De Morgans Law for Set & its Subset
    11. De Morgans Law for Set & its Subset
      609 views
      12. Problem-De Morgans Law for Set & its Subset
    12. Problem-De Morgans Law for Set & its Subset
      574 views
      13. Complement of Union for Overlapping Sets
    13. Complement of Union for Overlapping Sets
      1088 views
      14. Problem-Complement of Union for Overlapping Sets
    14. Problem-Complement of Union for Overlapping Sets
      851 views
      15. Complement of Union for Disjoint Sets
    15. Complement of Union for Disjoint Sets
      697 views
      16. Problem-Complement of Union for Disjoint Sets
    16. Problem-Complement of Union for Disjoint Sets
      517 views
      17. Complement of Union for Set & its Subset
    17. Complement of Union for Set & its Subset
      613 views
      18. Problem-Complement of Union for Set & its Subset
    18. Problem-Complement of Union for Set & its Subset
      479 views
      19. Complement of Intersection for Overlapping Sets
    19. Complement of Intersection for Overlapping Sets
      786 views
      20. Problem-Complement of Intersection for Overlapping Sets
    20. Problem-Complement of Intersection for Overlapping Sets
      588 views
      21. Complement of Intersection for Disjoint Sets
    21. Complement of Intersection for Disjoint Sets
      709 views
      22. Problem-Complement of Intersection for Disjoint Sets
    22. Problem-Complement of Intersection for Disjoint Sets
      519 views
      23. Complement of Intersection for Set & its Subset
    23. Complement of Intersection for Set & its Subset
      599 views
      24. Problem-Complement of Intersection for Set-Subset
    24. Problem-Complement of Intersection for Set-Subset
      575 views
      25. Distributivity of Union Over Intersection of Sets
    25. Distributivity of Union Over Intersection of Sets
      2622 views
      26. Problem- Set Distributivity of Union Over Intersection
    26. Problem- Set Distributivity of Union Over Intersection
      647 views
      27. Distributivity of Intersection Over Union of Sets
    27. Distributivity of Intersection Over Union of Sets
      1974 views
      28. Problem-Set Distributivity of Intersection Over Union
    28. Problem-Set Distributivity of Intersection Over Union
      568 views
      29. Partition of Set and Partition Principle
    29. Partition of Set and Partition Principle
      30. Problem-Partition of Set and Partition Principle
    30. Problem-Partition of Set and Partition Principle
      31. Partitions and Cartesian Products
    31. Partitions and Cartesian Products
      1.3: Sizes of Sets
      Sizes of Sets
    1. Sizes of Sets
      2. Problem-Sizes of Sets
    2. Problem-Sizes of Sets
      1.4: Sets of Outcomes and trees (Practice Test)
      Experiments and Sample Space
    1. Experiments and Sample Space
      1601 views
      2. Problem-Experiments and Sample Space
    2. Problem-Experiments and Sample Space
      830 views
      3. Tree diagrams
    3. Tree diagrams
      4. Problem-Tree diagrams
    4. Problem-Tree diagrams
      1.5: The Real Numbers (Practice Test)
      Addition of an Integers
    1. Addition of an Integers
      1494 views
      2. Multiplication of Integers
    2. Multiplication of Integers
      974 views
      3. Properties of Fraction and Inverse Operations
    3. Properties of Fraction and Inverse Operations
      4. Simplification of Algebraic Expressions
    4. Simplification of Algebraic Expressions
      1639 views
      5. Problem-Simplification of Algebraic Expressions
    5. Problem-Simplification of Algebraic Expressions
      561 views

    Chapter 2 Probabilities, Counting and Equally Likely Outcomes (32 videos) (Practice Test)

      2.1: Probabilities, Events and Equally Likely Outcomes (Practice Test)
      Definition of Probability
    1. Definition of Probability
      2434 views
      2. Problem-Definition of Probability
    2. Problem-Definition of Probability
      999 views
      3. Problem solving on probability or weight of an outcome
    3. Problem solving on probability or weight of an outcome
      4. Equally Likely Outcomes
    4. Equally Likely Outcomes
      5. Problem-Equally Likely Outcomes
    5. Problem-Equally Likely Outcomes
      2.2: Counting Arrangements: Permutations (Practice Test)
      Problem-Simple Combined Events and Possibility Diagrams
    1. Problem-Simple Combined Events and Possibility Diagrams
      418 views
      2. Simple Combined Events and Tree Diagrams
    2. Simple Combined Events and Tree Diagrams
      843 views
      3. Addition Principle for counting
    3. Addition Principle for counting
      4. Venn Diagrams for counting
    4. Venn Diagrams for counting
      5. Multiplication Principle for counting
    5. Multiplication Principle for counting
      6. Problems on Counting Principles
    6. Problems on Counting Principles
      7. Introduction to Permutation
    7. Introduction to Permutation
      6193 views
      8. Problem-Introduction to Permutation
    8. Problem-Introduction to Permutation
      4286 views
      9. Permutation of Things Not All Different
    9. Permutation of Things Not All Different
      3782 views
      10. Problem-Permutation of Things Not All Different
    10. Problem-Permutation of Things Not All Different
      2366 views
      11. Circular Permutation
    11. Circular Permutation
      2918 views
      12. Problem-Circular Permutation
    12. Problem-Circular Permutation
      2077 views
      13. Word Problem on Permutation Principle
    13. Word Problem on Permutation Principle
      14. Permutation formula application
    14. Permutation formula application
      2.3: Counting Partitions: Combinations (Practice Test)
      Introduction to Combinations
    1. Introduction to Combinations
      3175 views
      2. Problem1-Introduction to Combinations
    2. Problem1-Introduction to Combinations
      1744 views
      3. Problem2-Introduction to Combinations
    3. Problem2-Introduction to Combinations
      1279 views
      4. Theorems on Combination
    4. Theorems on Combination
      679 views
      5. Complementary Combination
    5. Complementary Combination
      1674 views
      6. Problem1-Complementary Combination
    6. Problem1-Complementary Combination
      1125 views
      7. Problem2-Complementary Combination
    7. Problem2-Complementary Combination
      1033 views
      8. Pascal's Triangle
    8. Pascal's Triangle
      832 views
      9. Problem1-Pascal's Triangle
    9. Problem1-Pascal's Triangle
      582 views
      10. Problem2-Pascal's Triangle
    10. Problem2-Pascal's Triangle
      477 views
      2.4: Computing Probabilities by using Equally Likely Outcomes
      Probabilities for Simple Events
    1. Probabilities for Simple Events
      2. Empirical Probability Approximation
    2. Empirical Probability Approximation
      3. Probability of a Simple Event under an Equally Likely Assumption
    3. Probability of a Simple Event under an Equally Likely Assumption

    Chapter 3 Probability (31 videos) (Practice Test)

      3.1: Probability Measures: Axioms and Properties (Practice Test)
      Probability Measure and Equiprobable Measure
    1. Probability Measure and Equiprobable Measure
      2. Addition of Probabilities and Mutually Exclusive Events
    2. Addition of Probabilities and Mutually Exclusive Events
      1288 views
      3. Problem-Addition of Probabilities of Mutually Exclusive Events
    3. Problem-Addition of Probabilities of Mutually Exclusive Events
      666 views
      4. Addition of Probabilities of Overlapping Events
    4. Addition of Probabilities of Overlapping Events
      406 views
      5. Problem-Addition of Probabilities of Overlapping Events
    5. Problem-Addition of Probabilities of Overlapping Events
      329 views
      6. Addition of Probabilities of Disjoint Events
    6. Addition of Probabilities of Disjoint Events
      391 views
      7. Addition of Probabilities of Subset Events
    7. Addition of Probabilities of Subset Events
      369 views
      8. Problem-Addition of Probabilities of Subset Events
    8. Problem-Addition of Probabilities of Subset Events
      313 views
      9. Probability of Complement of an Event
    9. Probability of Complement of an Event
      10. Probability and Odds
    10. Probability and Odds
      11. Applications to Empirical Probability
    11. Applications to Empirical Probability
      3.2: Conditional Probability and Independence (Practice Test)
      Conditional Probability
    1. Conditional Probability
      3215 views
      2. Multiplication of Probabilities and Independent Events
    2. Multiplication of Probabilities and Independent Events
      987 views
      3. More on Multiplication of Probabilities and Independent Events
    3. More on Multiplication of Probabilities and Independent Events
      683 views
      4. Problem-Multiplication of Probabilities of Independent Events
    4. Problem-Multiplication of Probabilities of Independent Events
      389 views
      5. Multiplication of Probabilities of n Independent Events
    5. Multiplication of Probabilities of n Independent Events
      454 views
      6. Problem-Multiplication of Probabilities of n Independent Events
    6. Problem-Multiplication of Probabilities of n Independent Events
      417 views
      7. Application of Conditional Probability
    7. Application of Conditional Probability
      3.3: Stochastic Processes and Trees
      Stochastic Process
    1. Stochastic Process
      2. Problem-Stochastic Process
    2. Problem-Stochastic Process
      3. Problem solving on Stochastic Processes and Trees
    3. Problem solving on Stochastic Processes and Trees
      3.4: Bayes Probabilities
      Bayes Probability for two Events
    1. Bayes Probability for two Events
      2. Bayes Probability for k Events
    2. Bayes Probability for k Events
      3. Solving problems using Bayes' Formula
    3. Solving problems using Bayes' Formula
      3.5: Bernoulli Trials
      Introduction to Bernoulli Trials
    1. Introduction to Bernoulli Trials
      2. General formula for Bernoulli Trials
    2. General formula for Bernoulli Trials
      3. Application of General formula for Bernoulli Trials
    3. Application of General formula for Bernoulli Trials
      4. Word problems on Application of General formula for Bernoulli Trials
    4. Word problems on Application of General formula for Bernoulli Trials
      5. Sum of Probability of n Bernoulli Trials is always 1
    5. Sum of Probability of n Bernoulli Trials is always 1
      6. Problem-Sum of Probability of n Bernoulli Trials is always 1
    6. Problem-Sum of Probability of n Bernoulli Trials is always 1
      7. Finding the number (n) of trials in Bernoulli process
    7. Finding the number (n) of trials in Bernoulli process

    Chapter 4 Random Variables, Averages and Statistics (71 videos) (Practice Test)

      4.1: Frequency Distribution (Practice Test)
      Introducing Information Handling
    1. Introducing Information Handling
      7296 views
      2. Problem-Introducing Information Handling
    2. Problem-Introducing Information Handling
      3799 views
      3. Collection and Presentation of Data
    3. Collection and Presentation of Data
      5804 views
      4. Problem-Data, its Collection and Presentation.
    4. Problem-Data, its Collection and Presentation.
      2957 views
      5. Types of Variables
    5. Types of Variables
      1016 views
      6. Problem-Types of Variables
    6. Problem-Types of Variables
      636 views
      7. Introducing and Constructing Histogram
    7. Introducing and Constructing Histogram
      3765 views
      8. Problem-Introducing and Constructing Histogram
    8. Problem-Introducing and Constructing Histogram
      2156 views
      9. Introducing and Constructing Frequency Polygon
    9. Introducing and Constructing Frequency Polygon
      1731 views
      10. Problem-Introducing and Constructing Frequency Polygon
    10. Problem-Introducing and Constructing Frequency Polygon
      785 views
      11. Measure of Location OR Central Tendency
    11. Measure of Location OR Central Tendency
      1579 views
      12. Problem-Measure of Location OR Central Tendency
    12. Problem-Measure of Location OR Central Tendency
      848 views
      13. Problem1-Types of Measures of Central Tendency
    13. Problem1-Types of Measures of Central Tendency
      435 views
      14. Arithmetic Mean of Raw Data-Direct Method
    14. Arithmetic Mean of Raw Data-Direct Method
      4101 views
      15. Problem-Arithmetic Mean of Raw Data-Direct Method
    15. Problem-Arithmetic Mean of Raw Data-Direct Method
      2575 views
      16. Arithmetic Mean for Grouped Data-Direct Method
    16. Arithmetic Mean for Grouped Data-Direct Method
      3278 views
      17. Problem-Arithmetic Mean for Grouped Data-Direct Method
    17. Problem-Arithmetic Mean for Grouped Data-Direct Method
      1833 views
      18. Arithmetic Mean for Raw Data-Short Formula
    18. Arithmetic Mean for Raw Data-Short Formula
      2147 views
      19. Problem-Arithmetic Mean for Raw Data-Short Formula
    19. Problem-Arithmetic Mean for Raw Data-Short Formula
      1339 views
      20. Arithmetic Mean for Grouped Data-Short Formula
    20. Arithmetic Mean for Grouped Data-Short Formula
      1789 views
      21. Problem-Arithmetic Mean for Grouped Data-Short Formula
    21. Problem-Arithmetic Mean for Grouped Data-Short Formula
      1098 views
      22. Finding A.M for Ungrouped Data-Coding Method
    22. Finding A.M for Ungrouped Data-Coding Method
      2164 views
      23. Problem-Finding A.M for Ungrouped Data-Coding Method
    23. Problem-Finding A.M for Ungrouped Data-Coding Method
      1304 views
      24. Finding A.M for Grouped Data-Coding Method
    24. Finding A.M for Grouped Data-Coding Method
      4957 views
      25. Problem-Finding A.M for Grouped Data-Coding Method
    25. Problem-Finding A.M for Grouped Data-Coding Method
      1123 views
      26. Median for Grouped Discrete Data
    26. Median for Grouped Discrete Data
      1478 views
      27. Problem-Median for Grouped Discrete Data
    27. Problem-Median for Grouped Discrete Data
      843 views
      28. Mode for Grouped Continuous Data
    28. Mode for Grouped Continuous Data
      723 views
      4.2: Random Variables and Probability Density Functions
      Concept of Random Variable
    1. Concept of Random Variable
      2. Word problem on Random Variables
    2. Word problem on Random Variables
      3. Probability Density Function
    3. Probability Density Function
      4. Problem-Probability Density Function
    4. Problem-Probability Density Function
      5. Binomial Random Variable
    5. Binomial Random Variable
      4.3: Expected Value and Standard Deviations of Random Variables (Practice Test)
      Expected Value of a random variable
    1. Expected Value of a random variable
      2. Problem-Expected Value of a Random Variable
    2. Problem-Expected Value of a Random Variable
      3. Expected Value of a Binomial Random Variable
    3. Expected Value of a Binomial Random Variable
      4. Problem-Expected Value of a Binomial Random Variable
    4. Problem-Expected Value of a Binomial Random Variable
      5. Applications of Expected Value of a random variable
    5. Applications of Expected Value of a random variable
      6. Introduction to Variance and S.D
    6. Introduction to Variance and S.D
      1847 views
      7. Problem-Introduction to Variance and S.D
    7. Problem-Introduction to Variance and S.D
      956 views
      8. Calculation of the Variance and Standard Deviation by Direct Method
    8. Calculation of the Variance and Standard Deviation by Direct Method
      1112 views
      9. Problem-Calculation of Variance by Direct Method
    9. Problem-Calculation of Variance by Direct Method
      734 views
      10. Variance using Proper Mean Formula
    10. Variance using Proper Mean Formula
      879 views
      11. Problem-Calculation of Variance by Deviation Method
    11. Problem-Calculation of Variance by Deviation Method
      706 views
      12. Calculation of Variance by Short Cut Method
    12. Calculation of Variance by Short Cut Method
      695 views
      13. Problem-Calculation of Variance by Short Cut Method
    13. Problem-Calculation of Variance by Short Cut Method
      558 views
      14. Calculation of Standard Deviation by Short Cut Method
    14. Calculation of Standard Deviation by Short Cut Method
      3227 views
      15. Problem-Calculation of S.D by Short Cut Method
    15. Problem-Calculation of S.D by Short Cut Method
      411 views
      16. Calculating of Standard Deviation by Deviation Method
    16. Calculating of Standard Deviation by Deviation Method
      692 views
      17. Problem-Calculating of S.D by Deviation Method
    17. Problem-Calculating of S.D by Deviation Method
      419 views
      18. Calculation of Standard Deviation by Direct Method
    18. Calculation of Standard Deviation by Direct Method
      603 views
      19. Problem-Calculation of S.D by Direct Method
    19. Problem-Calculation of S.D by Direct Method
      417 views
      20. Limitations or Drawbacks of Standard Deviation
    20. Limitations or Drawbacks of Standard Deviation
      183 views
      21. Problem-Limitations or Drawbacks of Standard Deviation
    21. Problem-Limitations or Drawbacks of Standard Deviation
      81 views
      22. Uses, Properties of Standard Deviation
    22. Uses, Properties of Standard Deviation
      766 views
      23. Problem-Uses, Properties of Standard Deviation
    23. Problem-Uses, Properties of Standard Deviation
      196 views
      24. Measurement of Spread of Observations
    24. Measurement of Spread of Observations
      67 views
      25. Problem-Measurement of Spread of Observations
    25. Problem-Measurement of Spread of Observations
      58 views
      26. S.D and Variance for a Grouped Data
    26. S.D and Variance for a Grouped Data
      453 views
      27. Problem-S.D and Variance for a Grouped Data
    27. Problem-S.D and Variance for a Grouped Data
      400 views
      28. Variance and Standard Deviation of The Random Variable X
    28. Variance and Standard Deviation of The Random Variable X
      29. Variance and Standard Deviation of a Binomial Random Variable
    29. Variance and Standard Deviation of a Binomial Random Variable
      4.4: Normal Random Variables and the Normal Approximation to the Binomial (Practice Test)
      Standard Normal Distribution
    1. Standard Normal Distribution
      591 views
      2. Standard Normal Random Variable
    2. Standard Normal Random Variable
      3. Problem-Standard Normal Random Variable
    3. Problem-Standard Normal Random Variable
      4. Standardizing a random variable
    4. Standardizing a random variable
      5. Probability of a Standard Normal Random Variable
    5. Probability of a Standard Normal Random Variable
      6. Problem-Probability of a Standard Normal Random Variable
    6. Problem-Probability of a Standard Normal Random Variable
      7. Probability of a random variable w. r. t. standard deviation
    7. Probability of a random variable w. r. t. standard deviation
      8. The normal approximation to a Binomial random variable
    8. The normal approximation to a Binomial random variable
      9. Problem-The normal approximation to a Binomial random variable
    9. Problem-The normal approximation to a Binomial random variable

    Chapter 5 System of Linear Equations (42 videos) (Practice Test)

      5.1: Review of Equations and Graphs of Lines (Practice Test)
      Cartesian Coordinate System & Cartesian Plane
    1. Cartesian Coordinate System & Cartesian Plane
      8577 views
      2. Problem-Cartesian Coordinate System-Cartesian Plane
    2. Problem-Cartesian Coordinate System-Cartesian Plane
      1140 views
      3. Linear and Quadratic Functions
    3. Linear and Quadratic Functions
      539 views
      4. Problem-Linear and Quadratic Functions
    4. Problem-Linear and Quadratic Functions
      298 views
      5. Concept of x and y intercepts
    5. Concept of x and y intercepts
      6. Word Problem Related to Slope and Intercepts of Lines
    6. Word Problem Related to Slope and Intercepts of Lines
      7. Slope of a Line
    7. Slope of a Line
      8. Deriving Point-slope Form of Equation of Straight Line
    8. Deriving Point-slope Form of Equation of Straight Line
      982 views
      9. Problem1-Deriving Point-slope Form of Equation of Straight Line
    9. Problem1-Deriving Point-slope Form of Equation of Straight Line
      603 views
      10. Derivation of Slope Intercept form
    10. Derivation of Slope Intercept form
      1258 views
      11. Problem1-Derivation of Slope Intercept form
    11. Problem1-Derivation of Slope Intercept form
      680 views
      12. Scatter diagram
    12. Scatter diagram
      5.2: Formulation and Solution of Systems of Linear Equations in Two Variables (Practice Test)
      Solving Simple Linear Equations in 2 Variables
    1. Solving Simple Linear Equations in 2 Variables
      1059 views
      2. Problem-Solving Simple Linear Equations in 2 Variables
    2. Problem-Solving Simple Linear Equations in 2 Variables
      21 views
      3. Solving Simultaneous Linear Equations-Substitution
    3. Solving Simultaneous Linear Equations-Substitution
      1859 views
      4. Problem-Solving Simultaneous Linear Equations-Substitution
    4. Problem-Solving Simultaneous Linear Equations-Substitution
      1110 views
      5. Solving Simultaneous Linear Equations-Comparison
    5. Solving Simultaneous Linear Equations-Comparison
      334 views
      6. Solving Linear Equations by Equating Co-efficient
    6. Solving Linear Equations by Equating Co-efficient
      3587 views
      7. Solving linear equations by Cross Multiplication
    7. Solving linear equations by Cross Multiplication
      8. Problem-Solving linear equations by Cross Multiplication
    8. Problem-Solving linear equations by Cross Multiplication
      5.3: Formulation and Solution of Systems of Linear Equations (Practice Test)
      Formulation of system of linear equations in three or more variables
    1. Formulation of system of linear equations in three or more variables
      5.4: Graphing Planes in 3D Space (Practice Test)
      Graphing Planes in three dimensional space
    1. Graphing Planes in three dimensional space
      2. Problems on solving system of equations
    2. Problems on solving system of equations
      3. Word Problem on Solving System of Linear Equations Using Matrix Operation
    3. Word Problem on Solving System of Linear Equations Using Matrix Operation
      4. Finding Intersection of planes
    4. Finding Intersection of planes
      5. System of linear equation
    5. System of linear equation
      6. Linear equation and their graphs
    6. Linear equation and their graphs
      7. system of linear equation in three variables
    7. system of linear equation in three variables
      8. Simultaneous Linear Equations in 3 Variables
    8. Simultaneous Linear Equations in 3 Variables
      9. Solution of Three Linear Equations
    9. Solution of Three Linear Equations
      10. Solving system of linear equations in three variables
    10. Solving system of linear equations in three variables
      11. Application of system of linear equations in three variable
    11. Application of system of linear equations in three variable
      12. Application of system of linear equation in businesses
    12. Application of system of linear equation in businesses
      13. More on Solving Simultaneous Equations-Inversion Method
    13. More on Solving Simultaneous Equations-Inversion Method
      74 views
      14. Consistency and Inconsistency of a System
    14. Consistency and Inconsistency of a System
      865 views
      15. Problem-Consistency and Inconsistency of a System
    15. Problem-Consistency and Inconsistency of a System
      567 views
      16. Echelon and Reduced Echelon Form of Matrix
    16. Echelon and Reduced Echelon Form of Matrix
      6143 views
      17. Problem-Echelon and Reduced Echelon Form of Matrix
    17. Problem-Echelon and Reduced Echelon Form of Matrix
      1609 views
      18. Echelon Form of Matrix
    18. Echelon Form of Matrix
      1342 views
      19. Problem-Echelon Form of Matrix
    19. Problem-Echelon Form of Matrix
      683 views
      20. Reduced Echelon Form of Matrix
    20. Reduced Echelon Form of Matrix
      792 views
      21. Problem-Reduced Echelon Form of Matrix
    21. Problem-Reduced Echelon Form of Matrix
      514 views

    Chapter 6 Matrix Algebra and Applications (35 videos) (Practice Test)

      6.1: Matrix Notation and Algebra (Practice Test)
      Solving real life problems by graph
    1. Solving real life problems by graph
      1160 views
      2. Problem-Solving real life problems by graph
    2. Problem-Solving real life problems by graph
      780 views
      3. Introducing Matrix
    3. Introducing Matrix
      36598 views
      4. More on Introducing Matrix
    4. More on Introducing Matrix
      3625 views
      5. Problem-Introducing Matrix
    5. Problem-Introducing Matrix
      14050 views
      6. Addition of Matrices
    6. Addition of Matrices
      4594 views
      7. Problem-Addition of Matrices
    7. Problem-Addition of Matrices
      2751 views
      8. Multiplication of Matrix by Real Number
    8. Multiplication of Matrix by Real Number
      3354 views
      9. Problem-Multiplication of Matrix by Real Number
    9. Problem-Multiplication of Matrix by Real Number
      2039 views
      10. Multiplication of Matrices
    10. Multiplication of Matrices
      5440 views
      11. More on Multiplication of Matrices
    11. More on Multiplication of Matrices
      572 views
      12. Problem1-Multiplication of Matrices
    12. Problem1-Multiplication of Matrices
      3003 views
      13. Additive Identity of a Matrix
    13. Additive Identity of a Matrix
      2748 views
      14. Problem-Additive Identity of a Matrix
    14. Problem-Additive Identity of a Matrix
      1687 views
      15. Multiplicative Identity of a Matrix
    15. Multiplicative Identity of a Matrix
      2407 views
      16. Problem-Multiplicative Identity of a Matrix
    16. Problem-Multiplicative Identity of a Matrix
      1725 views
      6.2: Matrix Inverses (Practice Test)
      Additive Inverse of a Matrix
    1. Additive Inverse of a Matrix
      2883 views
      2. Problem-Additive Inverse of a Matrix
    2. Problem-Additive Inverse of a Matrix
      2711 views
      3. Multiplicative Inverse of Non-Singular Matrix
    3. Multiplicative Inverse of Non-Singular Matrix
      3270 views
      4. Problem-Multiplicative Inverse of Non-Singular Matrix
    4. Problem-Multiplicative Inverse of Non-Singular Matrix
      2407 views
      5. Inverse of Matrix by Row Operation
    5. Inverse of Matrix by Row Operation
      1299 views
      6. Problem-Inverse of Matrix by Row Operation
    6. Problem-Inverse of Matrix by Row Operation
      468 views
      7. More on Problem- Inverse of Matrix by Row Operation
    7. More on Problem- Inverse of Matrix by Row Operation
      367 views
      8. Solving Simultaneous Equations-Inversion Method
    8. Solving Simultaneous Equations-Inversion Method
      10163 views
      9. More on Solving Simultaneous Equations-Inversion Method
    9. More on Solving Simultaneous Equations-Inversion Method
      74 views
      10. Application of Inverse Matrix: Cryptography
    10. Application of Inverse Matrix: Cryptography
      11. Problem-Application of Inverse Matrix: Cryptography
    11. Problem-Application of Inverse Matrix: Cryptography
      6.3: A Linear Economic Model (Practice Test)
      Leontief input output model
    1. Leontief input output model
      2. input output model for three industries
    2. input output model for three industries
      3. Application of Leontief input output model
    3. Application of Leontief input output model
      4. application of Leontief model when n is 4
    4. application of Leontief model when n is 4
      5. Leontief closed model
    5. Leontief closed model
      6. Leontief open model
    6. Leontief open model
      7. Least Square Method
    7. Least Square Method
      8. Application of least square method (2)
    8. Application of least square method (2)

    Chapter 7 Linear Programming: Modeling and Graphical Solution (22 videos) (Practice Test)

      7.1: Formulation of Linear Programming Problems (Practice Test)
      Introduction to Linear Inequalities
    1. Introduction to Linear Inequalities
      3543 views
      7.2: Linear Inequalities (Practice Test)
      More on Introducing Linear Inequalities
    1. More on Introducing Linear Inequalities
      1711 views
      2. Problem1-Introduction to Linear Inequalities
    2. Problem1-Introduction to Linear Inequalities
      1436 views
      3. Feasible Solution in Inequality
    3. Feasible Solution in Inequality
      1937 views
      4. More on Feasible Solution in Inequality
    4. More on Feasible Solution in Inequality
      920 views
      5. Problem1-Feasible Solution in Inequality
    5. Problem1-Feasible Solution in Inequality
      692 views
      6. Problem1a-More on Feasible Solution in Inequality
    6. Problem1a-More on Feasible Solution in Inequality
      473 views
      7.2: System of Linear Inequalities in Two Variables (Practice Test)
      Graphing of Linear Inequality in Two Variables
    1. Graphing of Linear Inequality in Two Variables
      1978 views
      2. More on Graphing of Linear Inequality in Two Variables
    2. More on Graphing of Linear Inequality in Two Variables
      1536 views
      3. Problem1-Graphing of Linear Inequality in Two Variables
    3. Problem1-Graphing of Linear Inequality in Two Variables
      1313 views
      4. Problem2-Graphing of Linear Inequality in Two Variables
    4. Problem2-Graphing of Linear Inequality in Two Variables
      1149 views
      5. Graphing System of Inequalities
    5. Graphing System of Inequalities
      1344 views
      6. More on Graphing System of Inequalities
    6. More on Graphing System of Inequalities
      962 views
      7. Problem1-Graphing System of Inequalities
    7. Problem1-Graphing System of Inequalities
      1033 views
      7.3: Graphical Solution of Linear Programming Problems with Two Variables (Practice Test)
      Linear Programming Problem
    1. Linear Programming Problem
      2. Optimal value in linear programming problem
    2. Optimal value in linear programming problem
      3. Multiple or no optimal solution
    3. Multiple or no optimal solution
      4. Application of linear programming problem
    4. Application of linear programming problem
      5. Feasible Solution in Inequality
    5. Feasible Solution in Inequality
      1937 views
      6. More on Feasible Solution in Inequality
    6. More on Feasible Solution in Inequality
      920 views
      7. Problem1-Feasible Solution in Inequality
    7. Problem1-Feasible Solution in Inequality
      692 views
      8. Problem1a-More on Feasible Solution in Inequality
    8. Problem1a-More on Feasible Solution in Inequality
      473 views

    Chapter 8 Markov Chains (19 videos) (Practice Test)

      8.1: States, Transitions, Transition Diagrams and Transition Matrices (Practice Test)
      Markov Chain Model
    1. Markov Chain Model
      2. Problem on Markov Chain Model
    2. Problem on Markov Chain Model
      3. Transition Matrix to Transition Diagram
    3. Transition Matrix to Transition Diagram
      4. Word problem on Transition Matrix
    4. Word problem on Transition Matrix
      5. Finding State Matrix
    5. Finding State Matrix
      6. Application of Markov Chain in Businesses
    6. Application of Markov Chain in Businesses
      7. Application of Markov Chain in Life Science
    7. Application of Markov Chain in Life Science
      8.2: Basic Properties of Markov Chains (Practice Test)
      Using Tree Diagram Find Two Step Transition Matrix P(2)
    1. Using Tree Diagram Find Two Step Transition Matrix P(2)
      8.3: Regular Markova Chains (Practice Test)
      Finding a stationary matrix
    1. Finding a stationary matrix
      2. Regular Markov Chain
    2. Regular Markov Chain
      3. Problem on regular Markova chain
    3. Problem on regular Markova chain
      4. Application of regular Markova chain in economics
    4. Application of regular Markova chain in economics
      5. Application of regular Markova chain in businesses
    5. Application of regular Markova chain in businesses
      8.4: Absorbing Markov Chains (Practice Test)
      Absorbing Markova chain
    1. Absorbing Markova chain
      2. limiting matrix and standard form in absorbing Markova chain
    2. limiting matrix and standard form in absorbing Markova chain
      3. stationary matrix in absorbing Markova chain
    3. stationary matrix in absorbing Markova chain
      4. Application of absorbing Markova chain
    4. Application of absorbing Markova chain
      5. more on application of absorbing Markov chain
    5. more on application of absorbing Markov chain
      6. Properties of Limiting Matrix in absorbing Markova chain
    6. Properties of Limiting Matrix in absorbing Markova chain

    Chapter 9 Interest, Mortgages and Financial Decision Making (18 videos) (Practice Test)

      9.1: Interest (Practice Test)
      Interest and Interest Rate
    1. Interest and Interest Rate
      2. Simple Interest
    2. Simple Interest
      816 views
      3. Compound Interest
    3. Compound Interest
      620 views
      4. Comparing Interest for Various Compounding Periods
    4. Comparing Interest for Various Compounding Periods
      5. Application of compound interest
    5. Application of compound interest
      6. Word problem on compound interest
    6. Word problem on compound interest
      7. Annual Percentage Yield
    7. Annual Percentage Yield
      8. Problem on Annual Percentage Yield
    8. Problem on Annual Percentage Yield
      9.2: The Present Value of Future Payments (Practice Test)
      Present value of future payment
    1. Present value of future payment
      2. Present Value of Annuity and amortization
    2. Present Value of Annuity and amortization
      3. Problem on Present Value of Annuity
    3. Problem on Present Value of Annuity
      4. Application of Future Value of Annuity
    4. Application of Future Value of Annuity
      5. Future Value of an Ordinary Annuity
    5. Future Value of an Ordinary Annuity
      6. Application of annuity: future value
    6. Application of annuity: future value
      7. Equity in Home
    7. Equity in Home
      8. Application of equity
    8. Application of equity
      9.3: Time Payments, Amortization, and Mortgages (Practice Test)
      Amortization Payments
    1. Amortization Payments
      2. Problem on Amortization Payment
    2. Problem on Amortization Payment

    Chapter 10 Linear Programming: The Simplex Method (13 videos) (Practice Test)

      10.1: Standard Maximum Problem (Practice Test)
      Standard Maximum Problem
    1. Standard Maximum Problem
      10.2: Tableaus and the Pivot Operation (Practice Test)
      The Process of Forming simplex tableau
    1. The Process of Forming simplex tableau
      2. The process of maximization using simplex method
    2. The process of maximization using simplex method
      3. World problem on SMP using simplex method
    3. World problem on SMP using simplex method
      10.3: Dual Programming Problems (Practice Test)
      Vector notation of SMP and Its Dual
    1. Vector notation of SMP and Its Dual
      2. Dual Linear Programming Problems
    2. Dual Linear Programming Problems
      3. Minimize by Maximization
    3. Minimize by Maximization
      4. Simplex Tableau and Value of Dual Problem
    4. Simplex Tableau and Value of Dual Problem
      5. Maximization using big M method
    5. Maximization using big M method
      6. Word Problem on Big M Method
    6. Word Problem on Big M Method
      7. Big M Method When Constraints have Equality
    7. Big M Method When Constraints have Equality
      8. Two Phase Method
    8. Two Phase Method
      9. More on Two Phase Method
    9. More on Two Phase Method

    Chapter 11 Two-Person Zero-Sum Game (12 videos) (Practice Test)

      11.1: Saddle Points and Dominance (Practice Test)
      two person zero sum game pure strategy
    1. two person zero sum game pure strategy
      2. Two Person Zero Sum Game mixed Strategy
    2. Two Person Zero Sum Game mixed Strategy
      3. Saddle point in two person zero sum game
    3. Saddle point in two person zero sum game
      4. Principle of dominance
    4. Principle of dominance
      11.2: Solving 2 x n and m x 2 Games (Practice Test)
      A Technique for Solving 2X 2 Games
    1. A Technique for Solving 2X 2 Games
      2. Application of 2X 2 matrix Games
    2. Application of 2X 2 matrix Games
      3. value of game when a constant is added to a matrix
    3. value of game when a constant is added to a matrix
      4. A Technique for Solving 2X n Games
    4. A Technique for Solving 2X n Games
      5. More on A Technique for Solving 2X n Games
    5. More on A Technique for Solving 2X n Games
      6. Application of 2X n matrix Games
    6. Application of 2X n matrix Games
      11.3: Solving m x n Games by Using the Simplex Method (Practice Test)
      Solving m x n games using simplex method
    1. Solving m x n games using simplex method
      2. more on solving m x n games using simplex method
    2. more on solving m x n games using simplex method

    Chapter 12 Logic for Finite Mathematics (13 videos) (Practice Test)

      12.1: Statements, Connectives and Negation (Practice Test)
      statements connectives and negation (2)
    1. statements connectives and negation (2)
      12.2: Truth Tables (Practice Test)
      Construction of truth Table
    1. Construction of truth Table
      2. logic and set theory
    2. logic and set theory
      12.3: Equivalence, Implication and Deduction (Practice Test)
      Logical equivalence and implication
    1. Logical equivalence and implication
      2. Logical Deduction
    2. Logical Deduction
      3. Arguments
    3. Arguments
      4. Proof by contradiction
    4. Proof by contradiction
      5. construction of logic gates
    5. construction of logic gates
      6. redesigning logic gate
    6. redesigning logic gate
      7. Problem on redesigning logic gates
    7. Problem on redesigning logic gates
      8. Application on redesigning logic gates
    8. Application on redesigning logic gates
      9. determining output and logic statement
    9. determining output and logic statement
      10. Derived gates
    10. Derived gates