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Quantitative Problem Solving: So Easy a Child Could Do It

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- 5.5 hours on-demand video
- 2 Supplemental Resources
- Full lifetime access
- Access on mobile and TV
- Certificate of Completion

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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). 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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What Will I Learn?

Master GRE and GMAT math for quantitative problem solving

Requirements

- High School Math

Curriculum For This Course

Expand All 83 Lectures
Collapse All 83 Lectures
06:25:56

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–

Introduction
1 Lecture
00:51

Math Intro

Preview
00:51

+
–

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.

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.

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)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

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.

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

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:

Integer Problems

Integer Problems

Problem3

01:57

Topics:

Percentages

Translating Words Into Equations

Percentages

Translating Words Into Equations

Problem 4

01:56

Topics:

Combining Algebraic Equations

Combining Algebraic Equations

Problem 7

02:26

Topics:

Exponents

Exponents

Problem 8

02:05

Topics:

Work / Rate Problems

Work / Rate Problems

Problem 9

02:45

Topics:

Unit Conversions

Unit Conversions

Problem 10

03:25

Topics:

Algebraic Factoring

Algebraic Factoring

Problem 11

04:27

Topics:

Solving Algebraic Equations

Solving Algebraic Equations

Problem 12

02:07

Topics:

Averages

Averages

Problem 13

03:33

Topics:

Ratios

Ratios

Problem 14

02:03

Topics:

Ratios

(Correction: $20 should be added at the end to give $420 as the correct answer)

Ratios

(Correction: $20 should be added at the end to give $420 as the correct answer)

Problem 15

02:26

Topics:

Interest Rate Problems

Interest Rate Problems

Problem 16

04:00

Topics:

Distance, Rate, Time Problems

Distance, Rate, Time Problems

Problem 17

05:41

Topics:

Ratio Problems

Probability

Ratio Problems

Probability

Problem 18

04:01

Topics:

Geometry

Ratios

Geometry

Ratios

Problem 19

02:25

Topics:

Sum and Average Problems

Sum and Average Problems

Problem 20

01:41

Topics:

Area

Perimeter

Optimization

Area

Perimeter

Optimization

Problem 21

04:17

Topics:

Permutations

Permutations

Problem 22

03:58

Topics:

Mixture Problems

Mixture Problems

Problem 23

04:21

Topics:

Distance, Rate, Time Problems

Distance, Rate, Time Problems

Problem 24

02:36

Topics:

Matching Pairs

Matching Pairs

Problem 25

01:27

Topics:

Combined Work / Rate Problems

Combined Work / Rate Problems

Problem 26

03:02

Topics:

Combined Work / Rate Problems

Combined Work / Rate Problems

Problem 27

03:18

Topics:

Averages

Medians

Averages

Medians

Problem 28

03:48

Topics:

Probability

Probability

Problem 29

03:20

Topics:

Probability

Translating Words Into Equations

Probability

Translating Words Into Equations

Problem 30

03:19

Topics:

Probability

Probability

Problem 31

01:29

Topics:

Probability

Two-Way Tables

Problem 32

05:03

Topics:

Geometry

Angles

Polygons

Geometry

Angles

Polygons

Problem 33

03:11

Topics:

Geometry

Inscribed Polygons

Areas

Perimeters

Geometry

Inscribed Polygons

Areas

Perimeters

Problem 34

03:32

Topics:

Percentages

Translating Words Into Equations

Solving Algebraic Equations

Percentages

Translating Words Into Equations

Solving Algebraic Equations

Problem 35

02:57

Topics:

Triangles

Triangles

Problem 36

04:13

Topics:

Statistics

Normal Distribution

Means and Standard Deviations

Statistics

Normal Distribution

Means and Standard Deviations

Problem 37

04:39

Topics:

Averages

Sums

Averages

Sums

Preview
04:29

Topics:

Numerical Factors

Prime Numbers

Numerical Factors

Prime Numbers

Problem 39

02:16

Topics:

Factorials

Divisibility

Numerical Factors

Factorials

Divisibility

Numerical Factors

Problem 40

02:11

Topics:

Ratios

Unit Conversions

Ratios

Unit Conversions

Problem 41

02:41

Topics:

Inequalities

Inequalities

Problem 42

02:43

Topics:

Translating Words Into Equations

Proportionality

Solving Algebraic Equations

Translating Words Into Equations

Proportionality

Solving Algebraic Equations

Problem 43

02:38

Topics:

Translating Words Into Equations

Solving Algebraic Equations

Translating Words Into Equations

Solving Algebraic Equations

Problem 44

03:03

Topics:

Coin Problems

Translating Words Into Equations

Solving a System of Linear Equations

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

Solving algebraic equations with absolute value signs

Problem 47

04:51

Topics:

Prime Numbers

Divisibility Rules

Prime Numbers

Divisibility Rules

Problem 48

04:49

Topics:

Translating Words Into Equations

Combined Work / Rate Problems

Ratios and Proportions

Translating Words Into Equations

Combined Work / Rate Problems

Ratios and Proportions

Problem 49

04:16

Topics:

Factorials

Multiplication Factors

Factorials

Multiplication Factors

Problem 50

02:00

Topics:

Mixture Problems

Translating Words Into Equations

Solving Algebraic Equations

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

Translating words into equations

Right triangles

Pythagorean triples

Perimeters

Solving a system of equations

Problem 52

03:27

Topics:

Geometry

Combinations

Geometry

Combinations

Problem 53

03:56

Topics:

Multiplication rules

Divisibility rules

Multiplication rules

Divisibility rules

Problem 54

02:39

Topics:

Combinations

Combinations

Problem 55

02:09

Topics:

Divisibility rules

Divisibility rules

Problem 56

03:20

Topics:

Sequences

Sequences

Problem 57

03:11

Topics:

Time Problems

Time Problems

Problem 58

03:40

Topics:

Circles

Special Triangles

Areas

Angles

Circles

Special Triangles

Areas

Angles

Problem 59

03:14

Topics:

Equations of Lines

Slopes

Perpendicular Lines

Equations of Lines

Slopes

Perpendicular Lines

Problem 60

02:33

Topics:

System of Equations

Factoring Quadratic Equations

System of Equations

Factoring Quadratic Equations

Problem 61

03:41

Topics:

Ratios and Proportions

Squares

Circles

Areas

Perimeters

Ratios and Proportions

Squares

Circles

Areas

Perimeters

Problem 62

02:29

Topics:

Sequences and Series

Sequences and Series

Problem 63

02:53

Topics:

Averages

Sums

Averages

Sums

Problem 64

02:25

Topics:

Permutations and Combinations

Digits

Permutations and Combinations

Digits

Problem 65

02:03

Topics:

Ratios and Proportions

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

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.

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