Math 105: Mathematical Reasoning
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Course Information Heading link
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Course Prerequisites:
One of:
- Credit or concurrent registration in MATH 077
- Appropriate score on the math placement test.
Course Description
This course covers a practical breadth of mathematics, with a focus on math encountered in everyday life. It aims to show the relevancy and usefulness of mathematics and to make it meaningful by putting it in an appropriate context. In this course there is a focus on problem solving with a hands-on and learn-by-doing approach.
Course Topics:
- Unit I: Geometry, Measurement, and Unit Analysis – Chapters 1 and 2
- Unit II: Linear Equations – Chapter 3
- Unit III: Personal Finances – Chapters 4, 5, and 6
- Unit IV: Statistics – Chapters 10, 11, and 12
Credit Awarded
4 hours of credit (some exceptions noted below)
Credit is not given for Math 110 if the student has credit in MATH 121, MATH 165, MATH 170, MATH 180, or the equivalent. No graduation credit is given for architecture, business administration, or engineering students. This course may serve as a prerequisite for statistics courses in the social sciences. This does not replace Math 090 as a prerequisite for any other mathematics department course.
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Course Materials:
Textbook
College Mathematics, First Edition, published by Scottsdale Community College. This is an open-source textbook.
Students may access PDF copies through MyOpenMath or on Blackboard. Supplementary notes for the textbook are also available on Blackboard.
MyOpenMath
This is web-based learning software. This will be used for online homework. In MOM, one has access to an electronic version of a text book. MOM is an open-source platform and is FREE to use.
Calculator
A scientific calculator is required in each class. Cell phone calculators will not be permitted on the midterm or final exams. Texas Instruments graphing calculator (such as a TI-83/83 or TI-84) is recommended.
List of Topics Heading link
| Section | Topic(s) |
|---|---|
| 1.1 | Geometry Basics |
| 1.2 | Perimeter |
| 1.3 | Area |
| 1.4 | The Pythagorean Theorem |
| 1.5 | Circles |
| 1.6 | Perimeter and Are of composite Figures |
| 1.7 | Volume |
| 2.1 | Length (English System) |
| 2.2 | Weight (English System) |
| 2.3 | Capacity |
| 2.4 | Metric System |
| 2.5 | Converting Between Systems |
| 2.6 | Problem Solving with Rates and Dimensional Analysis |
| 3.1 | Functions |
| 3.2 | Equations of Lines, Intercepts and Graphing, Rate of Change and Initial value Interpretations, Linear Equation Word Problems, Revenue and Profit Functions |
| 3.3 | Linear Regression |
| 3.4 | Correlation |
| 4.1 | Percentage Basics |
| 4.2 | Applications Involving Percentages |
| 4.3 | Absolute and Relative Change |
| 4.4 | Percent Increase/Decrease |
| 4.5 | Exponential Functions |
| 5.1 | Simple Interest |
| 5.2 | Compound Interest |
| 5.3 | Annual Percetage Yield |
| 6.1 | Annuities |
| 6.2 | Payout Annuities |
| 6.3 | Loans |
| 10.1 | Population vs. Sample |
| 10.2 | Sampling |
| 10.3 | Problems |
| 10.4 | Expirements |
| 11.1 | Describing a Distribution |
| 11.2 | Measures of Central Tendency |
| 11.3 | Measures of Variation |
| 11.4 | Quartiles, 5-Number Summary, Hisograms, Boxplots |
| 12.1 | The Normal Distribution |
| 12.2 | The Empirical Rule |
| 12.3 | Standard Scores (z-scores) |
| 12.4 | Finding Percentages with Normally Distributed Variables |