Syllabus

MAT 115: Mathematical Models

Office:

Building 1, Room 127

Phone:

910-879-5538

VOICE MAIL AVAILABLE

E-mail:

spope@bladen.cc.nc.us

TEXT:

· Mathematical Ideas, Eleventh Edition. Miller, Heeren and Hornsby. Addison-Wesley, 2008.

3-Ring Binder (at least 1”)
Graph Paper and Ruler (straight edge)
Scientific/ Graphing Calculator (TI/83 Recommended)

COURSE DESCRIPTION:

This course develops the ability to utilize mathematical skills and technology problems at a level found in non‑mathematics‑intensive programs. Topics include applications to percent, ratio and proportion, formulas, statistics, functional notation, linear functions and their groups, probability, sampling techniques, scatter plots, and modeling. Upon completion, students should be able to solve practical problems, reason and communicate with mathematics, and work confidently, collaboratively, and independently.

UNITS OF STUDY:

· The Real Number System

The Basic Concepts of Algebra
Functions, Graphs, and Systems of Equations and Inequalities
Geometry
Counting Methods
Probability
Statistics

COURSE COMPETENCIES:

At the end of this course, the student will be able to:

Determine whether a second set is a subset of a given set, give the number of subsets, and list all subsets.

· Perform set operations.

· Construct Venn diagrams and use the diagrams to solve counting problems.

· Perform the arithmetic operations with signed numbers and algebraic expressions.

· Solve problems of ratio, proportion, and variation.

· Solve first-degree equations in one variable; solve literal equations, particularly formulas of perimeter, area, and volume.

· Perform algebraic operations with expressions involving integral exponents.

· Find special algebraic products and factor common algebraic expressions.

· Translate word problems into mathematical symbols and solve the resulting equations.

· Factor Polynomials.

· Solve linear and quadratic equations, and inequalities.

· Solve word problems, which can be modeled by a linear or quadratic equation.

· Determine whether a given relation is a function, and identify the domain and range.

Graph algebraic and absolute value functions on the Cartesian Coordinate System.

· Know properties of: triangles, parallelogram, rectangle, square, rhombus, and trapezoid.

· State and apply relationships that exist in right triangles.

Apply formulas to area and perimeter of plane figures.

· Compute the probability for simple and compound events.

· Compute odds and mathematical expectations.

· Determine if two events are dependent or independent and whether they are mutually exclusive.

· Organize statistical data, and compute measures of central tendency, variance and standard deviation, and percentile and quartile scores.

Use the normal distribution table to solve probability problems.

COURSE MANAGEMENT:

· Three credit hours.

Prerequisite: Math 070 or the appropriate test score
Class attendance of 100% is expected. If absences exceed 20%, (combined with classes held before the student entered the class, if any) the student will be dropped from the course.
Students who miss 2 consecutive weeks of class will be dropped from the course.
Each student will begin the semester with a 100 score for their attendance. For each day that is missed, regardless of the reason, two points will be deducted from the score. The final total will be used when calculating the final grade for the class.
Tardiness/ Leaving Early: “Students are expected to be in their positions ready for instruction at the time scheduled for class to begin. Any deviation from this procedure is disruptive, discourteous, and unfair to instructors and to fellow students who are deprived of the total instruction period as a result. Accordingly, students who are late for class…may at the discretion of the instructor, be denied admittance to the class meeting, and be awarded an absence mark for the class.” –BCC Catalog-p. 55

A student is considered tardy if he/she enters class after work and/or instruction has begun.

Three tardies/leaving early equals one absence.

No late assignments will be accepted.
No make-up test will be given without prior permission from the instructor.
For withdrawal procedures and grades see your college catalog.
Students with special needs related to a diagnosed disability should contact Tommy Rains (910.879.5570; trains@bladencc.edu) in student services for assistance.

EVALUATION:

Week	Course Outline by Topical Areas	Assignments
1-2	Syllabus and The Basic Concept of Set Theory	Chapter 2
3-4	The Real Numbers and Their Representations	Chapter 6
5-7	The Basic Concepts of Algebra	Chapter 7
8	Graphs, Functions, and Systems of Equations and Inequalities	Chapter 8
9	Geometry	Chapter 9
10	Counting Methods	Chapter 11
11-12	Probability	Chapter 12
13-14	Statistics	Chapter 13
15-16	Review and Exams

This outline is subject to change over the semester due to student comprehension.

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