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Not a child genius? Not a problem. My name is Corey and I’m here to guide you through an interactive course on quantitative problem solving for mastering the math section of the GRE and GMAT exams. These problems are not duplicates of the long, tedious, subpar GRE and GMAT course books that you've already purchased (such as the Barron's or Manhattan series which deviate from the actual GRE given by ETS and assume that you have infinite preparation time to work through their long lists of questions), so you will be getting brand new problems modeled after REAL GRE and GMAT questions that will challenge you in a unique way. This course is vitally important for anyone planning to apply to most graduate programs and the GRE and GMAT math questions come fully annotated solutions. This course is also ideal for high school students preparing for the SAT, as many of the harder math questions on the SAT will seem simple after mastering these questions. Feel free to preview sample solutions so that you have an idea of what to expect in the rest of the course. Thank you for your time and I look forward to helping you maximize your math proficiency.
Feel free submit questions through the course or directly to my email (hokiesalum[AT_symbol]]gmail[DOT]com ; include Udemy in the subject line). I want to do my best to make sure that you succeed! :-)
This lecture will cover the derivation of the formulas for permutations and combinations. Permutations represent selecting objects from a set of objects and the order of selection IS important. Combinations represent selecting objects from a set of objects and the order of selection is NOT important.
n Permutation x = n! / (n-x)!
n Choose x = n! / ( (n-x)! * x! )
The most important exponent rules are covered in this lecture. The most important rules are:
1. Add the exponents when you have two numbers with the same base multiplied together.
2. Subtract the exponents when you have two numbers with the same base divided by each other.
3. Multiply the exponents when you have an exponent raised to an exponent.
4. Negative exponents can be made positive by moving the number from the numerator to the denominator or vice versa.
5. Radicals can be changed into fractional exponents and vice versa.
This lecture covers the most important subtopics for dealing with triangles.
1. A triangle has three sides and the sum of its angles is 180 degrees.
2. The area of a triangle is 1/2 * base * height.
3. Pythagorean's Theorem for right triangles: c^2 = a^2 + b^2.
4. An exterior angle for a triangle is equal to the sum of the other two angles.
5. There are two special triangles in terms of angles:
45:45:90 triangle = x : x : x*sqrt(2)6. Any side of a triangle must be less than the sum of the other two sides of the triangle and more than the absolute value of the difference between the other two sides of the triangle.
30:60:90 triangle = x : x*sqrt(3) : 2x
This lecture will cover divisibility rules.
2: The number is even; the number ends in 0, 2, 4, 6, or 8.
3: The sum of the digits of the number is divisible by 3.
4: The last two digits is divisible by 4.
5: The last digit is either 5 or 0.
6: The number is divisible by both 2 and 3.
9: The sum of the digits is divisible by 9.
10: The number ends in 0.
Ratios and Proportions Review Problem Video Solutions
Problem List
Topics:
Probability
Two-Way Tables
Topics:
Solving Algebraic Equations with Radicals
Topics:
Exponents
Topics: Inequalities
Systems of Equations
Topics: Translating Words Into Equations
Fraction Arithmetic
Solving an Equation for a Variable
Topics: Translating Words Into Equations
Fraction Arithmetic
Solving an Equation for a Variable
Graduated summa cum laude from Virginia Tech with a major in chemical engineering (in-major GPA: 3.94) and a minor in chemistry. Completed written and oral doctoral qualifiers in chemical engineering at MIT. Extensive research experience with the US Army Countermining Division, DuPont, and MIT.
Adjunct Professor (New England College of Business). Tutoring prodigy...I love my job and fully invest myself in my clients, as I love their success even more. Extensive tutoring experience (300+ clients in the past 4 years), particularly in math (with a specialty in calculus through differential equations), physics, chemistry (general and organic), statistics (high school through upper graduate level, with a specialty in SPSS), academic and research writing, and test preparation (GRE, GMAT, MCAT, PCAT, DAT, SAT, ACT, ASVAB, SSAT, and MTEL math). I also create electronic flashcards to help my clients study, compatible with smartphones and iPads.