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MATH 1030 | Introduction to Quantitative Reasoning

These lecture videos are organized in an order that corresponds with the current book we are using for our Math1030 courses ("Using and Understanding Mathematics: A Quantitative Reasoning Approach", by Jeffrey O. Bennett and William L. Briggs, 6th edition). We have numbered the videos for quick reference so it's reasonably obvious that each subsequent video presumes knowledge of the previous videos' material. Along with the video lecture for each topic, we have included the "pre-notes" and "post-notes" which are the notes of the lecture before we did the problems and after we worked everything out during the lecture, respectively. You may want to download the notes to use as a reference while watching the lecture video, or for later reference.

If you find an error in the lecture or a problem with the video, or if you would like to give feedback to us about these lectures, please email rebecca@math.utah.edu to do so.


NOTE: These videos were not recorded in stereo sound. If you are listening to these videos on headphones, you may want to consider setting your sound channels to come through both sides. This document will give you an idea of how to accomplish that.

Review Lecture Videos

Sets and Venn Diagrams

Analyzing Arguments

Working with Units

Problem Solving with Units

Use and Abuse of Percentages

Putting Numbers in Perspective

Dealing with Uncertainty

Taking Control of your Finances

The Power of Compounding

Saving and Investing

Loans, Credit Cards & Mortgages

Linear vs. Exponential Growth

Doubling Time and Half-Life

Functions: Building Blocks of Mathematical Modeling

Linear Modeling

Real Population Growth

Exponential Modeling

Fundamentals of Geometry

Problem Solving with Geometry


These videos were completed as a collaborative effort of Marilyn Keir and Kelly MacArthur, funded and supported by the Mathematics Department at the University of Utah.