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.
- Powers of Ten lecture video
- Decimals and Fractions lecture video
- Operations with Fractions lecture video
- Scientific Notation lecture video
- Metric Prefixes lecture video
- Rules of Exponents lecture video
- Logarithms lecture video
- 1A Introduction to Venn Diagrams lecture video
- 1B Venn Diagrams for Categorical Propositions lecture video
- 1C More Uses for Venn Diagrams lecture video
- Challenge 1 problem video
- 2A Inductive and Deductive Arguments lecture video
- 2B Tests of Validity lecture video
- 2C Venn Diagrams and Validity lecture video
- Challenge 2 problem video
- 3A Unit Conversions lecture video
- 3B Problem Solving with Units lecture video
- Challenge 3 problem video
- 4A US vs. Metric Units lecture video
- 4B Units in Real Life lecture video
- Challenge 4 problem video
- 5A Use of Percentages lecture video
- 5B Solving Percent Problems lecture video
- 5C Abuse of Percentages lecture video
- Challenge 5 problem video
- 6A Perspective Using Estimations and Comparisons lecture video
- 6B Perspective Using Scaling lecture video
- Challenge 6 problem video
- 7A Significant Digits lecture video
- 7B Types of Error lecture video
- 7C Accuracy vs. Precision lecture video
- Challenge 7 problem video
- 7D Taking Control of your Finances
- 8A Simple vs. Compound Interes lecture videot
- 8B Continuous Interest and APY lecture video
- Challenge 8 problem video
- 9A Savings Plan Formulas lecture video
- 9B Total and Annual Return lecture video
- Challenge 9 problem video
- 10A Loans lecture video
- 10B Credit Cards lecture video
- 10C Mortgages lecture video
- Challenge 10 problem video
- 11A Linear vs. Exponential Growth lecture video
- 11B Doubling lecture video
- Challenge 11 problem video
- 12A Doubling Time lecture video
- 12B Half-Life lecture video
- Challenge 12 problem video
- 13A Functions lecture video
- 13B Domain and Range lecture video
- Challenge 13 problem video
- 14A Slope and Rate of Change lecture video
- 14B Linear Equations lecture video
- 14C Linear Applications lecture video
- Challenge 14 problem video
- 15A Population Growth Rate lecture video
- 15B Carrying Capacity lecture video
- 15C More Carrying Capacity and Logistics lecture video
- Challenge 15 problem video
- 16A Exponential Functions lecture video
- 16B Exponential Graphs lecture video
- 16C Exponential Applications lecture video
- 16D Using Roots to Find Rates lecture video
- Challenge 16 problem video
- 17A Points, Lines, and Planes lecture video
- 17B Plane Geometry lecture video
- 17C 3-D Geometry lecture video
- 17D Scaling lecture video
- 17E Scaling: Starting with Area and Volume lecture video
- Challenge 17 problem video
- 18A Uses of Angles lecture video
- 18B Pitch, Grade, Slope lecture video
- 18C Triangles lecture video
- 18D Optimization lecture video
- Challenge 18 problem video
- Extra Geometry Challenge problem video
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.