GRE and GMAT Math - So Easy a Child Could Do It
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GRE and GMAT Math - So Easy a Child Could Do It

Quantitative Problem Solving: So Easy a Child Could Do It
4.3 (44 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
915 students enrolled
Created by Corey Moore
Last updated 11/2013
English
Price: $35
30-Day Money-Back Guarantee
Includes:
  • 5.5 hours on-demand video
  • 2 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • Master GRE and GMAT math for quantitative problem solving
View Curriculum
Requirements
  • High School Math
Description

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). Also feel free to contact me if you need additional help with your math prep. I want to do my best to make sure that you succeed! :-)

Who is the target audience?
  • Prospective graduate students
  • Prospective business school students
  • Prospective college students
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Curriculum For This Course
83 Lectures
06:25:56
+
Introduction
1 Lecture 00:51
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Teaching Lectures
10 Lectures 01:30:12

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! )

Preview 05:40

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.
Prime Factorization: GCF and LCM
11:49

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.

Exponent Rules
06:33

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.
Combined Rate and Work Problems
05:43

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)
30:60:90 triangle = x : x*sqrt(3) : 2x
  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.
Triangles
10:15

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.
Fraction Arithmetic
07:22

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.

Divisibility Rules
06:21

Ratios and Proportions Review Problems
4 pages

Ratios and Proportions Review Problem Video Solutions

Ratios and Proportions Review
30:19

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.
GRE Quantitative Comparison Strategies Lecture
06:10
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Math Problems
71 Lectures 03:43:32

Problem List

Problem List
67 pages

Topics:
Translating Words Into Equations
Solving Algebraic Equations
Preview 02:46

Topics:
Translating Words into Equations
Age Problems
Preview 04:23

Topics:
Integer Problems
Problem3
01:57

Topics:
Percentages
Translating Words Into Equations
Problem 4
01:56

Topics:
Permutations
Preview 03:34

Topics:
Probability
Two-Way Tables
Preview 04:06

Topics:
Combining Algebraic Equations
Problem 7
02:26

Topics:
Exponents
Problem 8
02:05

Topics:
Work / Rate Problems
Problem 9
02:45

Topics:
Unit Conversions
Problem 10
03:25

Topics:
Algebraic Factoring
Problem 11
04:27

Topics:
Solving Algebraic Equations
Problem 12
02:07

Topics:
Averages
Problem 13
03:33

Topics:
Ratios
Problem 14
02:03

Topics:
Ratios
(Correction: $20 should be added at the end to give $420 as the correct answer)
Problem 15
02:26

Topics:
Interest Rate Problems
Problem 16
04:00

Topics:
Distance, Rate, Time Problems
Problem 17
05:41

Topics:
Ratio Problems
Probability
Problem 18
04:01

Topics:
Geometry
Ratios
Problem 19
02:25

Topics:
Sum and Average Problems
Problem 20
01:41

Topics:
Area
Perimeter
Optimization
Problem 21
04:17

Topics:
Permutations
Problem 22
03:58

Topics:
Mixture Problems
Problem 23
04:21

Topics:
Distance, Rate, Time Problems
Problem 24
02:36

Topics:
Matching Pairs
Problem 25
01:27

Topics:
Combined Work / Rate Problems
Problem 26
03:02

Topics:
Combined Work / Rate Problems
Problem 27
03:18

Topics:
Averages
Medians
Problem 28
03:48

Topics:
Probability
Problem 29
03:20

Topics:
Probability
Translating Words Into Equations
Problem 30
03:19

Topics:
Probability
Problem 31
01:29

Topics:
Probability
Two-Way Tables

Preview 05:03

Topics:
Geometry
Angles
Polygons
Problem 33
03:11

Topics:
Geometry
Inscribed Polygons
Areas
Perimeters
Problem 34
03:32

Topics:
Percentages
Translating Words Into Equations
Solving Algebraic Equations
Problem 35
02:57

Topics:
Triangles
Problem 36
04:13

Topics:
Statistics
Normal Distribution
Means and Standard Deviations
Problem 37
04:39

Topics:
Averages
Sums
Preview 04:29

Topics:
Numerical Factors
Prime Numbers
Problem 39
02:16

Topics:
Factorials
Divisibility
Numerical Factors
Problem 40
02:11

Topics:
Ratios
Unit Conversions
Problem 41
02:41

Topics:
Inequalities
Problem 42
02:43

Topics:
Translating Words Into Equations
Proportionality
Solving Algebraic Equations
Problem 43
02:38

Topics:
Translating Words Into Equations
Solving Algebraic Equations
Problem 44
03:03

Topics:
Coin Problems
Translating Words Into Equations
Solving a System of Linear Equations
Problem 45
03:13

Topics:
Solving Algebraic Equations with Radicals

Problem 46
04:58

Topics:
Solving algebraic equations with absolute value signs
Problem 47
04:51

Topics:
Prime Numbers
Divisibility Rules
Problem 48
04:49

Topics:
Translating Words Into Equations
Combined Work / Rate Problems
Ratios and Proportions
Problem 49
04:16

Topics:
Factorials
Multiplication Factors
Problem 50
02:00

Topics:
Mixture Problems
Translating Words Into Equations
Solving Algebraic Equations
Problem 51
03:32

Topics:
Translating words into equations
Right triangles
Pythagorean triples
Perimeters
Solving a system of equations
Problem 52
03:27

Topics:
Geometry
Combinations
Problem 53
03:56

Topics:
Multiplication rules
Divisibility rules
Problem 54
02:39

Topics:
Combinations
Problem 55
02:09

Topics:
Divisibility rules
Problem 56
03:20

Topics:
Sequences
Problem 57
03:11

Topics:
Time Problems
Problem 58
03:40

Topics:
Circles
Special Triangles
Areas
Angles
Problem 59
03:14

Topics:
Equations of Lines
Slopes
Perpendicular Lines
Problem 60
02:33

Topics:
System of Equations
Factoring Quadratic Equations
Problem 61
03:41

Topics:
Ratios and Proportions
Squares
Circles
Areas
Perimeters
Problem 62
02:29

Topics:
Sequences and Series
Problem 63
02:53

Topics:
Averages
Sums
Problem 64
02:25

Topics:
Permutations and Combinations
Digits
Problem 65
02:03

Topics:
Ratios and Proportions
Problem 66
02:25

Topics:

Exponents

Problem 67
03:33

Topics: Inequalities

Systems of Equations

Problem 68
02:25

Topics: Translating Words Into Equations

Fraction Arithmetic

Solving an Equation for a Variable

Problem 69
02:43

Topics: Translating Words Into Equations

Fraction Arithmetic

Solving an Equation for a Variable

Problem 70
02:49
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Conclusion
1 Lecture 00:21
Math Conclusion
Math Conclusion
00:21
About the Instructor
Corey Moore
4.3 Average rating
52 Reviews
999 Students
2 Courses
Adjunct Professor / Math Prodigy

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.