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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! :)
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Section 1: Introduction  

Lecture 1  00:51  
Math Intro 

Section 2: Teaching Lectures  
Lecture 2  05:40  
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! / (nx)! n Choose x = n! / ( (nx)! * x! ) 

Lecture 3  11:49  
Prime factorization is when you split a number into its prime factors. A prime number is a number that is only divisible by 1 and itself. 2 is defined as the first prime number. The factors of a number are the numbers that evenly divide into that number. For example, the factors of 10 are 1, 2, 5, and 10. The prime factorization can be used to find the greatest common factor (GCF) or the least common multiple (LCM) of two or more numbers. The GCF can be used to simplify fractions. The LCM can be used to find a common denominator to add or subtract fractions. 

Lecture 4  06:33  
The most important exponent rules are covered in this lecture. The most important rules are: 

Lecture 5  05:43  
Combined rate / work problems are used to add or subtract the rates of different people when they are doing the same task. Remember that when you add or subtract the fractions, the time component has to be in the denominator, on the bottom. For example, 5 miles per hour + 10 miles per hour = 15 miles per hour. Do NOT do: 1 hour per 5 miles + 1 hour per 10 miles = 3 hours per 15 miles. 

Lecture 6  10:15  
This lecture covers the most important subtopics for dealing with triangles. 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. 

Lecture 7  07:22  
This lecture covers fraction arithmetic. 1. To multiply fractions, multiply the numerators and denominators straight across. 2. To divide fractions, change the fraction being divided into its inverse, and then multiply the fractions straight across. 3. To add and/or subtract fractions, find the LCM (least common multiple) of the denominators, change all fractions so that they share this LCM, then perform the addition and subtraction operations only on the numerators, not the denominators. 

Lecture 8  06:21  
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. 

Lecture 9 
Ratios and Proportions Review Problems

4 pages  
Lecture 10  30:19  
Ratios and Proportions Review Problem Video Solutions 

Lecture 11  06:10  
This lecture covers GRE quantitative comparison strategies. 1. Always use your pencil and paper. 2. Add or subtract any number from both sides to simplify the problem. Usually this is useful if you have the same number, variable, or equivalent expression on both sides. 3. Multiply of divide any positive number, variable, or expression from both sides to simplify the problem. Sometimes this is optional, but other times this is essential for solving a problem. Remember that it must be a positive number, variable, or expression, as doing this with a negative number change the problem being asked. 4. Have confidence. The GRE test is also a psychological test of your math ability and confidence level. Not being confident in your math skills leads to double and triple checking answers, thereby taking away time from the other questions in the test. 

Section 3: Math Problems  
Lecture 12  67 pages  
Problem List 

Lecture 13  02:46  
Topics: Translating Words Into Equations Solving Algebraic Equations 

Lecture 14  04:23  
Topics: Translating Words into Equations Age Problems 

Lecture 15  01:57  
Topics: Integer Problems 

Lecture 16  01:56  
Topics: Percentages Translating Words Into Equations 

Lecture 17  03:34  
Topics: Permutations 

Lecture 18  04:06  
Topics: Probability TwoWay Tables 

Lecture 19  02:26  
Topics: Combining Algebraic Equations 

Lecture 20  02:05  
Topics: Exponents 

Lecture 21  02:45  
Topics: Work / Rate Problems 

Lecture 22  03:25  
Topics: Unit Conversions 

Lecture 23  04:27  
Topics: Algebraic Factoring 

Lecture 24  02:07  
Topics: Solving Algebraic Equations 

Lecture 25  03:33  
Topics: Averages 

Lecture 26  02:03  
Topics: Ratios 

Lecture 27  02:26  
Topics: Ratios (Correction: $20 should be added at the end to give $420 as the correct answer) 

Lecture 28  04:00  
Topics: Interest Rate Problems 

Lecture 29  05:41  
Topics: Distance, Rate, Time Problems 

Lecture 30  04:01  
Topics: Ratio Problems Probability 

Lecture 31  02:25  
Topics: Geometry Ratios 

Lecture 32  01:41  
Topics: Sum and Average Problems 

Lecture 33  04:17  
Topics: Area Perimeter Optimization 

Lecture 34  03:58  
Topics: Permutations 

Lecture 35  04:21  
Topics: Mixture Problems 

Lecture 36  02:36  
Topics: Distance, Rate, Time Problems 

Lecture 37  01:27  
Topics: Matching Pairs 

Lecture 38  03:02  
Topics: Combined Work / Rate Problems 

Lecture 39  03:18  
Topics: Combined Work / Rate Problems 

Lecture 40  03:48  
Topics: Averages Medians 

Lecture 41  03:20  
Topics: Probability 

Lecture 42  03:19  
Topics: Probability Translating Words Into Equations 

Lecture 43  01:29  
Topics: Probability 

Lecture 44  05:03  
Topics: 

Lecture 45  03:11  
Topics: Geometry Angles Polygons 

Lecture 46  03:32  
Topics: Geometry Inscribed Polygons Areas Perimeters 

Lecture 47  02:57  
Topics: Percentages Translating Words Into Equations Solving Algebraic Equations 

Lecture 48  04:13  
Topics: Triangles 

Lecture 49  04:39  
Topics: Statistics Normal Distribution Means and Standard Deviations 

Lecture 50  04:29  
Topics: Averages Sums 

Lecture 51  02:16  
Topics: Numerical Factors Prime Numbers 

Lecture 52  02:11  
Topics: Factorials Divisibility Numerical Factors 

Lecture 53  02:41  
Topics: Ratios Unit Conversions 

Lecture 54  02:43  
Topics: Inequalities 

Lecture 55  02:38  
Topics: Translating Words Into Equations Proportionality Solving Algebraic Equations 

Lecture 56  03:03  
Topics: Translating Words Into Equations Solving Algebraic Equations 

Lecture 57  03:13  
Topics: Coin Problems Translating Words Into Equations Solving a System of Linear Equations 

Lecture 58  04:58  
Topics: 

Lecture 59  04:51  
Topics: Solving algebraic equations with absolute value signs 

Lecture 60  04:49  
Topics: Prime Numbers Divisibility Rules 

Lecture 61  04:16  
Topics: Translating Words Into Equations Combined Work / Rate Problems Ratios and Proportions 

Lecture 62  02:00  
Topics: Factorials Multiplication Factors 

Lecture 63  03:32  
Topics: Mixture Problems Translating Words Into Equations Solving Algebraic Equations 

Lecture 64  03:27  
Topics: Translating words into equations Right triangles Pythagorean triples Perimeters Solving a system of equations 

Lecture 65  03:56  
Topics: Geometry Combinations 

Lecture 66  02:39  
Topics: Multiplication rules Divisibility rules 

Lecture 67  02:09  
Topics: Combinations 

Lecture 68  03:20  
Topics: Divisibility rules 

Lecture 69  03:11  
Topics: Sequences 

Lecture 70  03:40  
Topics: Time Problems 

Lecture 71  03:14  
Topics: Circles Special Triangles Areas Angles 

Lecture 72  02:33  
Topics: Equations of Lines Slopes Perpendicular Lines 

Lecture 73  03:41  
Topics: System of Equations Factoring Quadratic Equations 

Lecture 74  02:29  
Topics: Ratios and Proportions Squares Circles Areas Perimeters 

Lecture 75  02:53  
Topics: Sequences and Series 

Lecture 76  02:25  
Topics: Averages Sums 

Lecture 77  02:03  
Topics: Permutations and Combinations Digits 

Lecture 78  02:25  
Topics: Ratios and Proportions 

Lecture 79  03:33  
Topics: Exponents 

Lecture 80  02:25  
Topics: Inequalities Systems of Equations 

Lecture 81  02:43  
Topics: Translating Words Into Equations Fraction Arithmetic Solving an Equation for a Variable 

Lecture 82  02:49  
Topics: Translating Words Into Equations Fraction Arithmetic Solving an Equation for a Variable 

Section 4: Conclusion  
Lecture 83  00:21  
Math Conclusion 
Graduated summa cum laude from Virginia Tech with a major in chemical engineering (inmajor 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.
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