Introduction to Operations Research
This lesson defines operations research and explains its application in management, industry, and business. It covers the steps involved in solving problems using mathematical models and discusses different types of models used in operations research.
- 26:13 “to give out the same number, if deduct 0 is the list number as well, and the list number here is 1, so we minus 1 from this, 4 minus 1, that will give us 3, 2 minus 1, that will give us 1, 1 minus 1, give us 0, 2 minus 1...”
- 25:23 “and the fourth row also has at least 1, 0 entry, now let's look at the column as well, the column has at least 1, 0 entry, the second column also has at least 1, 0 entry, at least 1, 0 entry, it can't be 2, but the last...”
- 23:44 “This is a, we have, so the first step is, we subtract the minimum entry of each row, the each we have the row, the first row, 8, each row from all the entries of the row, and check if there's at least one zero in each ro...”
Logical Reasoning and Intelligence Systems
The lesson covers the meaning of simple and compound statements. It explains five logical operations and their symbols, along with truth values of compound statements. The lesson also discusses the equivalence of contra-positives and converses in conditional statements, and introduces the concept of
- 30:52 “this one, the p, give us the conclusion of this, and between this, therefore there is also give us q, so we can also represent it in this form, and we can easily construct the true table for this, and the true table for...”
- 27:32 “which is conjunction, all the last column here is also false, then this is what is contradiction, since the last column of the true table contains only F, the provision of the law of the position, P or not P is the contr...”
- 19:56 “only Q, Lagos is true, whereas the rest are false, because A, Q, Lagos is both components of the position are true, where others, provision at least, one component of each provision is false, a true table of however we a...”
Basic Operations on Whole Numbers
This lesson covers addition and subtraction of whole numbers, including how to align numbers by their place values. It also explains multiplication and division by 10, 100, and 1000, and introduces the use of the BODMAS rule for solving mixed operations.
- 02:51 “So make sure you put your plus sign so you need to add the numbers. So if you want to have, you start with the unit column. Two plus two is four, four plus nine is four plus nine is the ten. You write three, you carry on...”
- 08:58 “Then eight minus three is five, you're right five. When you look at it, zero minus nine is also not possible, you also need to take one from thousand columns. So when you take one here, what you have left here is six. So...”
- 02:05 “So we're going to array them according to their place value. Firstly, we have the unit comes first, the tens follow, after the tens we have the hundred and we have 1000. So we're going to put the numbers there. So on tha...”
Departmental Accounts
This lesson covers the definition and purpose of departmental accounts. It explains how to prepare these accounts to show the performance of different departments in a business. The lesson also discusses the advantages of using departmental accounts for comparison, error detection, and managerial as
- 10:18 “department B, department C, department D at the same time. What are the values of purchases of these different departments at the same time? So our trading profits and loss accounts will be prepared in a columnar form. S...”
- 12:37 “more to expenses, salary expenses, lightning and eats, advertising. So all these expenses will be deducted from the gross profits and other income. And at the end of the day, what you will have is a net profits. So what...”
- 09:31 “Some questions even ask for all these things. So you need to sit down and study closely. Let's look at the formats of a departmental accounts. The departmental accounts is usually prepared in a columnar form with separat...”
Electric Cells and Current Electricity
This lesson covers the types of electric cells, including primary and secondary cells. It explains the concepts of electromotive force (EMF), electric current, potential difference, and resistance. The lesson also discusses how to measure current and the arrangement of cells in series and parallel.
- 19:59 “We are moving out, going into this, we have this coming in and coming in. That is what the positive charge body and the negative charge body. Now, we have the columns law, columns law state that the electrostatic force b...”
- 32:21 “All right, we're going to take a question from these. We have the first question, which is two cells. Let's say the first question, the first question, two cells, each of EMF, four votes, two cells, we have these, two ce...”
Electric Cells and Current Electricity
The lesson covers the types of electric cells, including primary and secondary cells. It explains the concepts of electromagnetic force, current electricity, potential difference, and resistance. The arrangement of cells in series and parallel is also discussed.
- 20:02 “That means if I move them like this, from this place, we have it moving out, going into this, we have this coming in, coming in, that is what, the positive charge body and the negative charge body. Now, we have the colum...”
- 05:07 “EMF, that is the lost votes as this, which is equal towards I small R, as the lost, this is called the lost votes. Now, arrangements of resistors, resistors can be arranged in two forms, we have the series arrangements,...”
Measures of Central Tendency
This lesson covers the measures of central tendency, including mean, median, and mode. Students will learn how to calculate these measures using given data sets. The lesson also explains how to handle data with and without frequency.
- 17:36 “cumulative frequency. So whenever we have a cumulative frequency in the table, such table is called cumulative frequency table. When we don't have a cumulative frequency table, it is only just a class and a frequency. We...”
- 16:48 “And we have the class, which is 2 to 4. We have 4 to 6, and we have 6 to 8, and we have 8 to 10. 2 to 4 occurs 3 times, and 4 to 6 occurs 4 times, and 6 to 8 occurs 2 times. Why 8 to 10 occurs 1 times? And then we find t...”
- 18:25 “And the formula also get i is Q i equals l plus n i all over 4 minus CF all over F times C. And the total code type we have to find is 3. Our high is 3. So it means wherever you see i, we are putting 3. So we have it mea...”
Determinants of Matrices
This lesson covers how to find the determinant of a 2x2 matrix using cross multiplication. It also explains the determinant of a 3x3 matrix using Kramer's rule and the co-factor technique.
- 08:01 “So, let's see how we can do that. We can also do that by repeating the values of the first row and the all and the value of the second row downwards. So, let's see an example on that and we apply it here. So, the given m...”
- 08:53 “Repeat it along the fourth and fifth column respectively then we do the Saros rule. First we do that, we have A11, A21, A31, A12, A22, A32, A13, A23, A33. Then repeating the first column, we have A11, A21, A31. And then...”
- 07:14 “I would say minus 6 minus 15 is minus 21, minus 21 plus 3 will be equal to minus 18. So, the terminant of that matrix that is given, that is matrix A141230511 is minus 18. So, with that we can also solve all the related...”