Standard

R State Standard £ Institutionally Developed College: N/A

MAT 1100 – Quantitative Skills and Reasoning
Course Description
Overview course covering algebra, statistics, and mathematics of finance. Topics include: fundamental operations of Algebra, sets and logic, probability and statistics, Geometry, Mathematics of voting and districting, and Mathematics of finance.
Competency Areas		Hours
Fundamental Operations of Algebra		Class	5
Sets and Logic		D. Lab	2
Probability and Statistics		P. Lab/O.B.I.	0
Geometry		Credit	6
Mathematics of Voting and Districting
Mathematics of Finance
Prerequisite:	Program admission requirements or MAT 098 and/or MAT 1013 with a passing grade of C or better.
Corequisite:

Course Guide

Competency		After completing this section, the student will be able to:	Hours
			Class		D.Lab	P.Lab/ O.B.I.
Fundamental Operations of Algebra			18	5			0
Algebraic Expressions	Utilize the fundamental Laws of algebra to simplify algebraic Expressions.
Equations	Solve Linear and Quadratic Equations.
	Solve Application problems involving Linear and Quadratic Equations.
Functions	Evaluate and Graph Linear and Quadratic Exponential and Quadratic Functions
	Solve linear inequalities graphical and algebraically
System of Linear Equations	Solve system of linear equations with two unknowns algebraically and graphically.
	Solve system of linear Equations using Cramer’s rule and other matrix methods.
Sets and Logic			6	3			0
Sets	Demonstrate an understanding of the concept of sets and set notation
Set Operations	Find complements, Unions, intersections, set difference, cojoin and upjoin
	Able to draw and use Venn diagrams to solve a problem in sets and set operation
Logic	Utilize truth tables to find the truth values of compound statements
	Design a simple logic circuit from statements
	Use Euler diagrams to determine the validity of conclusions made from one or more arguments
Reasoning	Able to use the inductive and deductive reasoning to generalize given relations
Probability and Statistics			10	5			0
Permutation	Compute the number of possible arrangements that can be obtained from a finite number of things selecting some quantity at a time with no regard to order
Combination	Compute the number of possible groups that can be obtained from a finite number of things selecting some quantity at a time with no regard to order
Statistical charting	Draw Pareto; Histograms; bar graphs; pie charts; box and whisker plots; and stem and leaf plots.
Central tendency and dispersion measures	Calculate mean, median, range, percentiles, Quartiles, and Standard deviation.
Normal distribution	Compute probabilities from a normally distributed random variable.
Probability	Compute simple probability , mutually exclusive events, independent events and conditional probability.
Regression Analysis	Use linear regression formulas to write a linear function that best represents the relationship between two variables.
	Compute the correlation coefficient between two variables and be able to interpret the value.
Geometry			4	2			0
Perimeter	Calculate the perimeter of simple geometric figures.
Area	Compute the surface areas of simple geometric figures
Volumes	Compute the volume of simple geometric figures
Triangle	Use the properties of triangles to determine angles, sides, and ratios.
Mathematics of Voting and Districting			2	1			0
Voting and Apportionment	Compute the number of representative needed from a given area if the area is to be redistricted.
Mathematics of Finance			10	4			0
Interest	Compute simple and compound interest.
Present and Future value of money	Compute the future value of money based on present value and vice versa.
Single Payment	Solve annuity problems.
Amortization	Compute monthly payments and payoff amounts.
Finance charges	Compute finance charges on their credit and other cards of fiduciary significance.
Cost/Benefit	Define and solve problems using discounted cash flow.

Suggested Resources

Media (text/audio/ visual/www/ other)	Author	Title: Subtitle	Edition	Place of Publication	Year	Publisher/Publication	pp.
Text	Aufmann, R. and et.al.	Mathematical Excursions.	2^nd Ed.		(2007)	Houghton Mifflin Company and College Division.
Text