MATH 1332

Contemporary Math I

Math 1332

  • State Approval Code: 27030015119
  • Semester Credit Hours: 3
  • Lecture Hours per Week: 3
  • Contact Hours per Semester: 48

Catalog Description

Modern algebra and geometry. Topics include sets, logic, number systems, number theory, functions, equivalence, congruence, measurement, other geometric concepts, and the introduction to probability and statistics. (2701015119) 3-3-0

Prerequisites

TSIP complete.

Course Curriculum

Basic Intellectual Compentencies in the Core Curriculum

  • Reading
  • Writing
  • Speaking
  • Listening
  • Critical thinking
  • Computer literacy

Perspectives in the Core Curriculum

  • Establish broad and multiple perspectives on the individual in relationship to the larger society and world in which he/she lives, and to understand the responsibilities of living in a culturally and ethnically diversified world.
  • Stimulate a capacity to discuss and reflect upon individual, political, economic, and social aspects of life in order to understand ways in which to be a responsible member of society.
  • Recognize the importance of maintaining health and wellness.
  • Develop a capacity to use knowledge of how technology and science affect their lives.
  • Develop personal values for ethical behavior.
  • Develop the ability to make aesthetic judgments.
  • Use logical reasoning in problem solving.
  • Integrate knowledge and understand the interrelationships of the scholarly disciplines.

Core Components and Related Exemplary Educational Objectives

Mathematics

  • To apply arithmetic, algebraic, geometric, higher-order thinking, and statistical methods to modeling and solving real-world situations.
  • To represent and evaluate basic mathematical information verbally, numerically, graphically, and symbolically.
  • To expand mathematical reasoning skills and formal logic to develop convincing mathematical arguments.
  • To use appropriate technology to enhance mathematical thinking and understanding and to solve mathematical problems and judge the reasonableness of the results.
  • To interpret mathematical models such as formulas, graphs, tables and schematics, and draw inferences from them.
  • To recognize the limitations of mathematical and statistical models.
  • To develop the view that mathematics is an evolving discipline, interrelated with human culture, and understand its connections to other disciplines.

Instructional Goals and Purposes

Panola College's instructional goals include 1) creating an academic atmosphere in which students may develop their intellects and skills and 2) providing courses so students may receive a certificate/an associate degree or transfer to a senior institution that offers baccalaureate degrees.

General Course Objectives

Successful completion of this course will promote the general student learning outcomes listed below. The student will be able:
1.To apply problem-solving skills through solving application problems.
2.To demonstrate arithmetic and algebraic manipulation skills.
3.To read and understand scientific and mathematical literature by utilizing proper vocabulary and methodology.
4.To construct appropriate mathematical models to solve applications.
5.To interpret and apply mathematical concepts.
6.To use multiple approaches - physical, symbolic, graphical, and verbal - to solve application problems

Specific Course Objectives

Major Learning Objectives
Essential Competencies
Upon completion of MATH 1332, the student will be able to demonstrate:
1)Competence in describing sets, subsets, and performing set operations.
2)Competence in operations involving integers and radicals.
3)Competence in operations using exponents and scientific notation.
4)Competence in solution of linear equations and their applications.
5)Competence in solution of linear inequalities.
6)Competence in graphing linear equations in two variables.
7)Competence in solution of quadratic equations by factoring or the quadratic formula.
8)Competence in the algebra of functions, their graphs and applications.
9)Competence in solving systems of linear equations and their applications.
10)Competence in solving systems of linear inequalities.
11)Competence in solving consumer math problems, including percents, loans, simple and compound interest, and mortgage payments.
12)Competence in solving probability problems, including single- and multi-stage experiments.
13)Competence in applications with permutations and combinations.
14)Competence in finding measures of central tendency.
15)Competence in discerning correct information from various types of graphs.

General Description of Each Lecture or Discussion

After studying the material presented in the text(s), lecture, laboratory, computer tutorials, and other resources, the student should be able to complete all behavioral/learning objectives listed below with a minimum competency of 70%. The student should be able:
1)To define terms relevant to sets, subsets, and set operations.
2)To perform set operations: union, intersection, complement.
3)To use Venn diagrams to determine the solution to a set problem.
4)To apply set definitions to “real-world” problems.
5)To use proper notation involving sets and related terms.
6)To perform the basic operations with integers, Srationals, and radicals.
7)To properly apply the rules of exponents, especially using scientific notation.
8)To evaluate algebraic expressions.
9)To solve linear equations in one variable and applications of linear equations.
10)To graph and solve linear inequalities.
11)To use factoring or the quadratic formula to solve quadratic equations.
12)To identify functions by notation, graphing or applications.
13)To solve geometric problems involving perimeter, area and volume.
14)To identify basic geometric terms, draw them, and use proper notation when identifying the terms.
15)To solve problems involving congruence and similarity.
16)To solve problems using the Pythagorean Theorem and its converse.
17)To convert a rational number to a decimal and to a percent and vice versa.
18)To solve consumer math problems involving percents.
19)To solve problems involving simple interest, compound interest, and personal loans.
20)To determine the finance charge and the monthly payment on a fixed installment loan.
21)To define and identify terms used with probability: event, outcome, empirical probability, theoretical probability, etc.
22)To calculate the probability of a simple event.
23)To calculate the odds of success and failure of an event.
24)To use tree diagrams to calculate the probability of a multi-stage experiment.
25)To use the Fundamental Counting Principle to calculate the number of permutations of an event.
26)To use the Fundamental Counting Principle to calculate the number of combinations of an event.
27)To properly read information from “real-world” graphs.
28)To calculate measures of central tendency of a set of data.

Methods of Instruction/Course Format/Delivery

Methods employed will include lecture/demonstration, discussion, problem solving, analysis, and reading assignments. Homework will be assigned.
Faculty may choose from, but are not limited to, the following methods of instruction:
(1) Lecture
(2) Discussion
(3) Internet
(4) Video
(5) Television
(6) Demonstrations
(7) Field trips
(8) Collaboration
(9) Readings

Assessment

Faculty may assign both in- and out-of-class activities to evaluate students' knowledge and abilities. Faculty may choose from – but are not limited to -- the following methods
•Attendance
•Book reviews
•Class preparedness and participation
•Collaborative learning projects
•Compositions
•Exams/tests/quizzes
•Homework
•Internet
•Journals
•Library assignments
•Readings
•Research papers
•Scientific observations
•Student-teacher conferences
•Written assignments
Letter Grades for the Course will be assigned as follows:
A: 90 < Average < 100
B: 80 < Average < 90
C: 70 < Average < 80
D: 60 < Average < 70
F: 00 < Average < 60