Columbia Business School Programs and Admissions

Columbia Business School Programs and Admissions Columbia Business School is part of Columbia University, one of the worlds most esteemed private research universities. It is also one of six Ivy League business schools in the United States and part of the informal network of prestigious business schools known as the M7. Students who attend Columbia Business School have the benefit of studying in the heart of Manhattan in New York City and graduating with a degree from one of the most recognizable business schools in the world. But location and brand awareness are just two of the reasons why students enroll in the programs at this business school. Columbia is a popular business school due to its large alumni network, 200 electives, 100 student organizations, an ever-evolving curriculum taught by a respected faculty, and a reputation for groundbreaking research. Columbia Business School offers a range of program options for students at the graduate level. Students can earn an MBA, Executive MBA, Master of Science, or a Ph.D. The school also offers executive education programs for individuals and organizations. MBA Program The MBA program at Columbia Business School features a core curriculum that offers foundational knowledge in business topics like leadership, strategy, and global business. In their second term, MBA students are allowed to customize their education with electives. There are more than 200 electives to choose from; students also have the option of taking graduate-level classes at Columbia University to further diversify their studies. After being admitted to the MBA program, students are split into clusters consisting of about 70 people, who take their first-year classes together. Each cluster is further split into small teams of about five students, who complete core course assignments as a group. This cluster system is meant to encourage close relationships among diverse people who can challenge each other. MBA admissions at Columbia Business School are competitive. Only 15 percent of those who apply are admitted. Application requirements include two recommendations, three essays, one response to a short-answer question, GMAT or GRE scores, and academic transcripts. Interviews are by invitation only and are typically conducted by alumni. Executive MBA Programs Students in the Executive MBA program at Columbia Business School study the same curriculum under the same faculty as full-time MBA students. The main difference between the two programs is the format. The Executive MBA program is designed for busy executives who want to complete the program on the weekend or in 5-day blocks. Columbia Business School offers three different New York based programs: EMBA-NY Saturday: Students take classes every Saturday for 24 months.EMBA-NY Friday/Saturday: Students take classes every other Friday/Saturday for 20 months.EMBA-Americas: Students take classes in 5-6 day blocks once a month for 20 months. Columbia Business School also offers two EMBA-Global programs for students who would rather study outside of the United States. These programs are offered in partnership with the  London Business School and the University of Hong Kong. To apply to the EMBA program at Columbia Business School, students must be fully employed. They are required to submit a range of application materials, including two recommendations; three essays; one response to a short-answer question; GMAT, GRE, or Executive Assessment scores; and academic transcripts. Interviews are required for admission but are conducted by invitation only. Master of Science Programs Columbia Business School offers several Master of Science programs. Options include the: Master of Science in Financial Economics: A two-year program consisting of MBA and Ph.D. courses in finance and economics.Master of Science in Marketing Science: A one-year program consisting of core courses, MBA courses, and Ph.D. courses in marketing analytics.Master of Science in Accounting and Fundamental Analysis: A three-semester program consisting of MBA and Ph.D. courses in accounting and quantitative analysis. All of the Columbia Master of Science programs are designed to provide more focused study options than the Columbia MBA program but less of a time investment than the Columba Ph.D. program. Admission requirements vary by program. However, it should be noted that every program is competitive. You should have high academic potential and a record of academic achievement to be considered a candidate for any of the Master of Science programs. PhD Program The Doctor of Philosophy (Ph.D.)  program at Columbia Business School is a full-time program that takes about five years to complete. The program is designed for students who want a career in research or teaching. Areas of study include accounting; decision, risk, and operations; finance and economics, management, and marketing. To apply to the Ph.D. program at Columbia Business School, you need at least a bachelors degree. A masters degree is recommended, but is not required. Application components include two references; an essay; a resume or CV; GMAT or GRE scores; and academic transcripts.

What Is the Distributive Property

What Is the Distributive Property SAT / ACT Prep Online Guides and Tips What is the distributive property? Did you go over the distributive property definition in school but still aren’t sure what it is or why it’s important? The distributive property is a key mathematical property you’ll need to know to solve many algebra problems. In this guide, we explain exactly what the distributive property is, why it’s important, when you should use it, what other math rules you need to know for it, and we also work through several examples so you can see the distributive property in action. What Is the Distributive Property? The distributive property, sometimes known as the distributive property of multiplication, tells us how to solve certain algebraic expressions that include both multiplication and addition. The literal definition of the distributive property is that multiplying a number by a sum is the same as doing each multiplication separately. In equation form, the distributive property looks like this: $a(b+c) = ab + ac$ (Remember, in math, when two numbers/factors are right next to each other, that means to multiply them.) Like many math definitions, the distributive property is easier to understand when you look at a few examples. Here’s a simple one: $$5 (2 +7)$$ Normally, if you had a problem like this, you’d add 2 and 7 together to get 9, then you’d multiply 5times 9 to get 45. This is the simplest way to solve the equation, and it also follows the order of operations, which tells you to simplify whatever is in the parentheses first before moving onto other operations like multiplication. Solving that equation using the distributive property would look like this: $$5 (2+7)$$ The distributive property means doing multiplication before the addition within the parentheses, so we’d distribute the 5 to both values within the parentheses: $$5(2) + 5(7)$$ Work out the multiplication: $$10 + 35$$ Then add the two numbers together: $$10+35=45$$ We get the same answer as we did solving the problem with the first method, which shows that the distributive property works. Now, why would you want to use the distributive property when it took longer than the first method? The distributive property comes in handy when you have terms within the parentheses that can’t be added together, such as this equation: ${3/4}(a + 2b)$. Because there are variables involved, there’s no easy way to simplify $a + 2b$. In these more complicated equations, the distributive property can help us get the equation into a form that makes it easier to simplify or solve. We’ll see examples of how to do this later on in this guide. 3 Key Rules Related to the Distributive Property When you’re using the distributive property, you’ll often have to use or be aware of other mathematical rules and properties in order to solve or simplify the equations. Here are three of the most important ones to know. Commutative Laws The commutative laws state that you can swap numbers when adding or multiplying and still get the same answer. So $x + y = y + x$ and $x(y) = y(x)$ These are likely intuitive for you by now, but they’re an important part of the distributive property, which wouldn’t work without them. You can use them when you need help simplifying certain equations in order to get them into a more workable form. Order of Operations When you have a complicated equation that looks like it can be simplified in multiple ways, the order of operations gives you the correct way to work through those operations. The acronym PEMDAS makes it easy to remember which operations to work on first. From first to last, here’s the order you should work out operations: Parentheses Exponents Multiplication and Division (do these at the same time, working left to right) Addition and Subtraction (do these at the same time, working left to right) The order of operations is important to know because you’ll often have to remember it when simplifying equations that include a lot of different operations. It can also help you determine whether to use the distributive property or not. Order of operations states the first step you should take when simplifying an equation is to work out whatever is in a parentheses set, but if what’s in the parentheses can’t be simplified, that’s a sign to use the distributive property. Quadratic Formula The quadratic formula states that, for $ax^2+ bx + c = 0$, the values of $x$ which are the solutions to the equation are given by: $$x={-b ±Ã¢Ë†Å¡{b^2-4ac}}/{2a}$$ When using the distributive property, you may be able to simplify some equations into the $ax^2 + bx + c = 0$ form so that you can use the quadratic equation to solve for $\bi x$. Distributive Property of Multiplication Example Problems In this section we go over three examples of simplifying problems using the distributive property. You’ll notice each of them contain variables in the parentheses, which is a key sign that the distributive property is needed. Example 1 $$\bo4\bi x(\bo5\bi x + \bo6) = -\bo7$$ First, we’re going to distribute $4x$ to both $5x$ and 6. $$4x(5x) + 4x(6) = -7$$ Now, multiply those out: $$20x^2+ 24x = 7$$ Add 7 to both sides: $$20x^2+ 24x +7 = 0$$ This equation is now in the proper formula to solve for $x$ using the quadratic formula (x would equal $-0.7$ and $-0.5$), or you might be able to keep the equation in that form if you were just being asked to simplify it. Example 2 $$\bo3\bi x(\bi x-\bo4) + \bo5(\bo4\bi x + \bo6)$$ For this equation, there are two sets of parentheses, so we need to use the distributive property twice. Distribute the 3x to its set of parentheses and the 5x to its set of parentheses: $$3x(x) + 3x(-4) + 5(4x) + 5(6)$$ Multiply it out: $$3x^2- 12x + 20x^2+ 30$$ Add the two $x^2$ terms together to simplify $$23x^2- 12x + 30$$ Example 3 $$-\bo7(\bi x + \bo4) + \bo8(\bo2 - \bo4\bi x)$$ This example is a bit trickier because the 7 has a negative sign in front of it. When the value just outside the parentheses is negative, the negative sign must be distributed to each term within the parentheses. Distribute the -7 to its set of parentheses and the 8 to its set of parentheses: $$(-7)(x) + (-7)(4) + (8)(2) + (8)(-4x)$$ Multiply those out: $$-7x -28 + 16 - 32x$$ Now simplify: $$-39x - 12$$ Summary: What Is the Distributive Property Definition? What is distributive property? The distributive property of multiplication states that $a(b+c) = ab + ac$. It’s often used for equations when the terms within the parentheses can’t be simplified because they contain one or more variables.Using the distributive property, you can simplify or solve equations that would otherwise be difficult to work with. When using the distributive property, remember to distribute negative signs if they’re in front of the parentheses, and keep in mind other important math rules, such as the quadratic formula, order of operations, and commutative properties. What's Next? Are you learning about logarithms and natural logs in math class? We have a guide on all the natural log rules you need to know. What is dynamic equilibrium and what does it have to do with rusty cars? Find out by reading ourcomplete guide to dynamic equilibrium. Rational numbers are another important math concept you should understand.Read our guide on rational numbers for everything you need to know about them!