MATH 1103 Syllabus

Subject Code

MATH

Course Number

1103

Course Title

Quantitative Skills and Reasoning

Prerequisites

Degree program admission math competency or successful completion of required math learning support courses with grades of C or higher

Corequisites

Terms Offered

Credit Hours

Course Description

This course focuses on quantitative skills and reasoning in the context of experiences that students will be likely to encounter. The course emphasizes processing information in context from a variety of representations, understanding of both the information and the processing, and understanding which conclusions can be reasonably determined. Students will use appropriate technology to enhance mathematical thinking and understanding. Topics covered in this course include: sets and set operations, logic, basic probability, data analysis, linear models, quadratic models, exponential and logarithmic models, geometry, and financial management.

 

Course Outcomes

Fundamental Operations of Algebra: Linear & Quadratic Models, Graphs

  • Demonstrate quantitative skills and reasoning by solving linear and quadratic equations.
  • Evaluate system of linear equations.
  • Using technology, create models for data that is both linear and nearly linear and use the models to answer input and output questions in the contest of applications.
  • Use quadratic and exponential models to answer input and output questions.

Set & Logic: Sets, Set Operations, Logic, Reasoning 

  • Perform the set operations of complement, union, and intersection on sets, including Venn diagrams.
  • Compute truth tables for compound statements.
  • Compare and contrast between inductive and deductive reasoning.
  • Recognize valid and invalid arguments using logic.

Probability & Statistics

  • Calculate the number of permutations and combinations of finite number of objects taken at a time.
  • Compute simple probability, mutually exclusive events, independent events and conditional probability.
  • Calculate and interpret measures of central tendency and variation.
  • Utilize normal distribution to solve applied problems
  • Use ratio, proportion, and percent to solve real-world application problems.
  • Apply fundamental counting principals and fundamental laws of probability to determine the probability of an event.
  • Read and interpret data presented in various forms, including graphs.
  • Create a scatter plot of data and determine whether it is best modeled by a linear, quadratic, or exponential model.

Geometry: Perimeter, Area, and Volume

  • Calculate the perimeter of geometric figures.
  • Calculate the area of geometric figures.
  • Calculate the volume of geometric figures.
  • Use area, perimeter, and volume to solve applications problems.

Financial Management: Interest, Present & Future Value

  • Calculate simple and compound interest.
  • Solve annuity problems.
  • Construct an amortization schedule.
  • Compute finance charges on credit cards.
  • Solve application problems involving consumer finance.
  • Solve application problems using exponential and logarithmic functions.