The Mathematics of Everyday Life

Apply the power of mathematics to your finances, health, education, and other everyday problems.
The Mathematics of Everyday Life is rated 3.9 out of 5 by 7.
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Rated 5 out of 5 by from Love the app! Great access to my library, and immediate downloads on new purchases. Course content is variable, but the Engineering ones are universally excellent. Have a list of a dozen more always ready to buy when the mood strikes me.
Date published: 2021-07-10
Rated 2 out of 5 by from mathematics of Everday Life Not presented well at all. This is the first course that disappointed me. Seems to make things harder and not easier. Conclusions labored and poorly arrived at.
Date published: 2021-07-06
Rated 5 out of 5 by from Excellent collection of topics This is an excellent collection of topics providing a thought provoking analysis of real world decisions we encounter in everyday life from a mathematical perspective.
Date published: 2021-06-30
Rated 4 out of 5 by from Math can be useful; not so much as presented here For many, this will be a great awakening to how useful mathematics, really mathematical thinking can be in addressing every day problems. That alone should make this lecture series worth trying out. However, some of the most salient problems addressed in this series could be much better laid out (for ease of understanding), solved, and validated (as a function of varying assumptions) by spreadsheet analysis. I think Professor Omar should consider recasting this course to incorporate what now a day is a basic tool of analysis. By resorting to close-formed solutions and shortcuts., Professor Omar reduces the apparent complexity of a problem, but at the cost of short-changing intuition.
Date published: 2021-06-24
Rated 5 out of 5 by from This course is awesome! I’m a high school math teacher, and I’ll be doing this with my students now!
Date published: 2021-06-23
Rated 5 out of 5 by from Great demonstration of practical mathematics Professor Omar goes through all the things we SHOULD learn about in mathematics but somehow rarely show up in mathematics curriculum. He uses practical approaches and intuition to help us pick apart a variety of real world issues using mathematics. I particularly liked the episodes on Voter Math and the Cost of Commuting.
Date published: 2021-06-21
Rated 1 out of 5 by from Chapter TWo I just listened to Chapter 2 and was not impressed. The subject was poorly explained. I won't be listening to the rest.
Date published: 2021-06-21
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Overview

Taught by Professor Mohamed Omar of Harvey Mudd College, this course shows how basic math skills can make your life better—in personal finance, health, and social responsibility. The course tackles how to save for retirement, what kind of insurance to buy, taking out a mortgage, whether to rent or buy housing, reducing your carbon footprint, and other life issues that greatly benefit from mathematical analysis.

About

Mohamed Omar
Mohamed Omar

It turns out math can be used every day to drastically improve our lives.

INSTITUTION

Harvey Mudd College

Mohamed Omar is an Associate Professor of Mathematics and the Joseph B. Platt Chair in Effective Teaching at Harvey Mudd College. He earned his bachelor’s and master’s degrees in Mathematics from the University of Waterloo and his PhD in Mathematics from the University of California, Davis. Before arriving at Harvey Mudd College, he was a postdoctoral fellow at the California Institute of Technology.

Mohamed’s mission is to change the world from math-phobic to math-loving, and he has fiercely devoted his life to inclusion in mathematics. In 2018, he won the Mathematical Association of America’s Henry L. Alder Award, an early-career undergraduate teaching award given to no more than three educators annually. He has been featured in Forbes and Scientific American, and he is the author of more than 30 peer-reviewed articles in internationally recognized journals in his research specialty, applications of algebra to discrete mathematics.

By This Professor

The Mathematics of Everyday Life
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The Mathematics of Everyday Life

Trailer

The Magic of Compound Interest

01: The Magic of Compound Interest

Explore the marvel that Albert Einstein called “the eighth wonder of the world”—compound interest, which is the strategy of reinvesting interest rather than paying it out. Simple calculations show that a retirement nest egg of $1 million or more is within reach for those who start investing early. Learn why the average rate of return can be misleading. Also get tips for building a college fund.

31 min
How Mortgages Really Work

02: How Mortgages Really Work

Go house hunting, analyzing your monthly and total payments at different mortgage interest rates and terms (15-year versus 30-year). Learn the formulas behind online mortgage calculators to get deeper insight into the snowballing effect of interest expenses across time. Also consider whether it makes more sense to rent than to buy, weighing the hidden costs of home ownership over the benefits.

28 min
How to Get Out of Credit Card Debt

03: How to Get Out of Credit Card Debt

The miracle of compound interest that enriches savers can make paupers of those with credit card debt. Learn why this form of borrowing is so risky and potentially ruinous. Explore strategies for paying off credit card debt and consider whether it makes sense to keep credit cards for perks. Then look into college loans, weighing costs versus benefits, and also examining alternatives to loans.

27 min
The Real Cost of Commuting

04: The Real Cost of Commuting

Over our working lives, many of us spend a total of a year or more driving to and from the office. Is it worth it? Professor Omar uses simple calculations to assess the true costs of commuting, taking into consideration the relative price of real estate in the city and suburbs, the expense of cars and upkeep, and not least the psychological toll of sitting in a traffic jam day after day.

29 min
Understanding Your Health Data

05: Understanding Your Health Data

Investigate numbers you are likely to encounter in the doctor’s office. What do body mass index (BMI) and blood pressure signify? Both correlate measured values with possible health issues. But as you learn, correlation does not imply causation. Also consider questions to ask when faced with statistics for different medical treatments, bearing in mind a phenomenon called Simpson’s paradox.

30 min
The Math of Environmental Friendliness

06: The Math of Environmental Friendliness

Apply math to the crisis of global warming. First, define carbon footprint, which applies to greenhouse gases primarily to carbon dioxide. Then test your instincts about the relative impact of recycling, electricity consumption, automobile use, and commercial air travel. Discover that simple measures like carpooling are among the most effective steps you can take to reduce your carbon emissions.

32 min
Getting Wise about Health and Life Insurance

07: Getting Wise about Health and Life Insurance

One of the best uses of math in everyday life is gauging how much insurance you need, especially in the confusing realms of life and health coverage. First, analyze two types of life insurance, term and whole, and the advantages and drawbacks of each. Then dive into health insurance, comparing a generic Health Maintenance Organization (HMO) with a generic Preferred Provider Organization (PPO).

29 min
Optimizing Your Diet through Math

08: Optimizing Your Diet through Math

Professor Omar tells how his harried life in graduate school led to an unwelcome weight gain. Determined to lose 50 pounds, he used mathematics to come up with a reasonable dieting plan. Learn how to estimate basal metabolic rate and caloric intake, develop an exercise regime, and choose among carbohydrates, proteins and fats. A similar analysis works for gaining muscle or maintaining your weight.

25 min
Making Great Estimates with Little Data

09: Making Great Estimates with Little Data

Get the “feel” for the right answer to seemingly intractable problems by using the approach of theoretical physicist Enrico Fermi: break the problem into easy steps and come up with an order-of-magnitude (factor of 10) estimate. Next, learn a statistical approach to problems that obey a normal distribution, using bell curves to get a surprising amount of information from relatively little data.

27 min
The First-Digit Law and Fraud Spotting

10: The First-Digit Law and Fraud Spotting

Discover how mathematics can solve crimes. First, study logarithms, which are the exponents used when numbers are written as a power of 10. Employ this concept to understand Benford’s law, which governs the frequency distribution of digits in common sets of numerical data. See how this hard-to-fake property helps prove financial fraud and also expose cheating in elections.

32 min
Voter Math and Gerrymandering

11: Voter Math and Gerrymandering

Gerrymandering is the drawing of electoral districts to benefit one political party over another. See how two mathematical tools reveal when this is very likely occurring. The Polsby-Popper score shows how close a given district is to the optimum compact shape—a circle. The efficiency gap measures the impact of “packing” and “cracking” in different districts, which has an outsize effect on party success.

31 min
Dividing a Cake or an Inheritance Fairly

12: Dividing a Cake or an Inheritance Fairly

Finish the course by learning how to divide goods fairly among different numbers of people. Find that cutting a cake into mutually acceptable pieces is a problem that generalizes to many situations in life. Then tackle another approach to apportioning assets (or liabilities) that uses a geometric technique, once again proving that mathematics is the route to satisfaction in many spheres of life!

27 min