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math102 Syllabus

Math 102: Quantitative Reasoning

Critical thinking and applications of mathematical concepts to real-world topics such as descriptive statistics, growth and decay models, and finance. Graphing calculator required. This course is designed for students in non-technical fields and may be used as a prerequisite for MATH 206, MATH 210 and STAT 214 only. Only one of MATH 100, MATH 102, MATH 103/104, MATH 105, MATH 107, MATH 109 or MATH 143 may be used for degree credit.

Prerequisites: Minimum ACT MATH score of 19 or SAT MATH score of 460, departmental exam, or Intermediate Algebra with a grade of C or better.

Text: Viewing Life Mathematically: A Pathway to Quantitative Literacy, by Kim Denley and Mike Hall, Hawkes Learning, 2020.

Online homework: Hawkes Learning is required as the online homework system and additional resources.

Calculator: A Graphing calculator required – TI 83/84 preferred.

Sections and Topics

Chapter 1: Critical Thinking and Problem Solving

  • Understand mathematical reasoning
  •   Distinguish between inductive and deductive reasoning
  •   Identify arithmetic and geometric sequences
  •   Understand Pólya’s problem-solving process
  •   Apply problem-solving strategies
  •   Find estimates

Chapter 4: Rates, Ratios, Proportions, and Percentages

  • Write rates as fractions
  •  Solve proportional equations
  •  Calculate unit rates
  •  Write and interpret ratios
  •  Calculate proportions and percentages
  •  Identify and calculate percentage increase and percentage decrease
  •  Identify and calculate percentage increase and percentage decrease

Chapter 5: The Mathematics of Growth

  •   Demonstrate an understanding of functions, function notation, domain, and range
  •   Demonstrate an understanding of linear functions and linear growth
  •   Demonstrate an understanding of exponential functions and exponential growth
  •   Model data with linear and exponential functions

Chapter 6: Geometry

  •   Demonstrate an understanding of points, lines, and planes
  •   Apply the concepts of parallel and perpendicular
  •   Explore the properties of polygons
  •   Demonstrate an understanding of sine, cosine, and tangent functions
  •   Apply the concepts of similar triangles
  •   Demonstrate an understanding of angle measure, angle sum, and applications of angles
  •   Apply the concepts of perimeter and area

Chapter 7: Probability

  •   Calculate basic probabilities
  •   Use the Fundamental Counting Principle to calculate probabilities
  •    Calculate permutations and combinations
  •   Use the addition rule of probability and the multiplication rule of probability
  •    Calculate the expected value of an event

Chapter 8: Statistics

  •    Calculate and appropriately use the linear regression line for a given set of data

Chapter 9: Personal Finance

  •    Create a budget
  •    Calculate sales prices and discounts
  •    Calculate percentage increase/decrease
  •    Calculate simple interest
  •   Understand present value
  •   Understand future value
  •    Calculate compound interest
  •   Understand savings plans
  •    Calculate annual percentage yield
  •    Calculate monthly payments
  •    Calculate credit card payments

Chapter 11: The Arts

  •   Understand the relationship between mathematics and art/architecture
  •   Understand the use of geometry in art/architecture
  •   Understand the use of sequences and series in art and music
  •   Understand the use of the golden ratio, golden rectangles and triangles, and their use in art/architecture
  •   Understand triangular and square numbers
  •   Understand the use of regular polygons in creating tilings and tessellations
  •   Understand how rotations, translations, and reflections are used in art and architecture
  •   Understand how sound frequencies in music are used to tune a piano and their relationships in musical harmonies

Possible projects out of chapters 9-14

Last updated 5 July 2020