MATH 1107 Concepts in Math

MATH 1107: Concepts in Math

Description

Concepts in Math covers topics from various areas of mathematics showing the scope and power of mathematics and emphasizing the mathematical method. This course is for students who are not mathematics majors and who wish to acquire a basic understanding of mathematics and apply it to a specific area of study.

Credits

3

Prerequisite

Co-Req Math 0117 or placement by multiple measures

Corequisite

None

Topics to be Covered

1. Basic Number Theory and the Real Number System

2. Algebraic Models: Linear, Quadratic, Exponential and Proportions

3. Systems of Linear Equations and Inequalities

4. Geometry: Lines, Angles, Circles, Polygons, Perimeter, Area, Volume, Surface Area, Dimensional Analysis, Symmetry and Tessellations

5. Right Triangle Trigonometry, Laws of Sines and Cosines

6. Mathematics of Finance: Percent, Interest, Consumer Loans, Annuities, and Amortization

7. Descriptive Statistics: Organizing and visualizing data, measures of central tendency, measures of dispersion, introduction to normal and probability distributions

8. Discipline specific applications of formulas and mathematical models

Learning Outcomes

1. Represent mathematical patterns by applying mathematical models

A. Distinguish correct solutions through substitution.

B. Solve for unknown quantities by applying algebraic rules.

C. Interpret and explain results.

2. Interpret data through organization and analysis of practical mathematical problems.

A. Organize data using graphs and tables.

B. Summarize data by calculating measures of center, variation and relative standing.

C. Relate data to a normal or probability distribution.

3. Select the correct mathematical methods to solve problems

A. Represent problems using analytic, graphical, verbal and numeric techniques.

B. Select the correct technique from algebraic and geometric methods to analyze a problem.

C. Defend their choice of mathematical models.

4. Apply inductive and deductive reasoning to solve mathematical problems

A. Construct a logical approach to problem solving.

B. Expand specific mathematical techniques to generalized problems.

C. Justify the approach used for problem solving.

5. Solve program-specific application problems using a variety of mathematical techniques

A. Identify the correct methods to use for program-specific application problems.

B. Formulate the correct steps for solving the problems.

C. Summarize the process and solution to the problems.

Credit Details

Lecture: 3

Lab: 0

OJT: 0

MnTC Goal Area(s): Goal Area 04- Mathematics/Logical Reasoning

Minnesota Transfer Curriculum Goal Area(s) and Competencies

Goal Area 04: Mathematics/Logical Reasoning

1. illustrate historical and contemporary applications of mathematical/logical systems.

2. clearly express mathematical/logical ideas in writing.

3. explain what constitutes a valid mathematical/logical argument (proof).

4. apply higher-order problem-solving and/or modeling strategies.