MATH 1332 - Contemporary Mathematics (Quantitative Reasoning) College-Connect

MATH 1332:

Description
Intended for Non STEM (Science, Technology, Engineering, and Mathematics) majors. Topics include introductory treatments of sets and logic, financial mathematics, probability and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology, and communication should be embedded throughout the course.Additional Topics may be covered.

Prerequisites

Must be eligible based on College Connect Criteria.
Semester Offered
Fall and Spring
Credits 3 Lecture Hours 3 Lab Hours 0
Extended Hours
1
Contact Hours
64
State Approval Code
27.0101.51 19
Alternate Operations During Campus Closure

In the event of an emergency or announced campus closure due to a natural disaster or pandemic, it may be necessary for Panola College to move to altered operations. During this time, Panola College may opt to continue delivery of instruction through methods that include, but are not limited to: online learning management system (CANVAS), online conferencing, email messaging, and/or an alternate schedule. It is the responsibility of the student to monitor Panola College's website (www.panola.edu) for instructions about continuing courses remotely, CANVAS for each class for course-specific communication, and Panola College email for important general information.

Class Attendance

Regular and punctual attendance of classes and laboratories is required of all students. When a student has been ill or absent from class for approved extracurricular activities, he or she should be allowed, as far as possible, to make up for the missed work. If a student has not actively participated by the census date, they will be dropped by the instructor for non-attendance. This policy applies to courses that are in-person, online, hybrid, and hyflex.

Attendance in online courses is determined by submission of an assignment or participation in an activity. According to federal guidelines, simply logging into a distance learning course without participating in an academic assignment does not constitute attendance. Distance learning is defined as when a majority (more than 50%) of instruction occurs when the instructor and students are in separate physical locations. Students must engage in an academic activity prior to the course census date. 

When an instructor feels that a student has been absent to such a degree as to invalidate the learning experience, the instructor may recommend to the Vice President of Instruction that the student be withdrawn from the course. Instructors may seek to withdraw students for non-attendance after they have accumulated the following number of absences: 

Fall or spring semesters: 

3 or more class meeting times per week - 5 absences

2 class meeting times per week - 3 absences

1 class meeting per week -  2 absences

The student is responsible for seeing that he or she has been officially withdrawn from a class. A student who stops attendance in a class without officially withdrawing from that class will be given a failing grade; consequently, the student must follow official withdrawal procedures in the Admissions/Records Office.

Please note: Health Science and Cosmetology courses may require more stringent attendance policies based on their accreditation agencies. Please see the addendum and/or program handbook for further information concerning attendance.  

Pregnant/Parenting Policy

Panola College welcomes pregnant and parenting students as a part of the student body. This institution is committed to providing support and adaptations for a successful educational experience for pregnant and parenting students. Students experiencing a need for accommodations related to pregnancy or parenting will find a Pregnancy and Parenting Accommodations Request form in the Student Handbook or may request the form from the course instructor.

Artificial Intelligence (AI) Course Policy

There are situations throughout the course where you may be permitted to use artificial intelligence (AI) tools to aide in further understanding of mathematical concepts. However, AI tools may not be used for any graded assignments including but not limited to exams, quizzes, and projects. Use of any AI-generated content in this course without the instructor’s consent qualifies as academic dishonesty and violates Panola College’s standards of academic integrity.

 

Student Learning Outcomes
Critical Thinking Skills – to include creative thinking, innovation, inquiry and analysis, evaluation and syntheses of information
CT2: Gather and assess information relevant to a question

CT3: Analyze, evaluate, and synthesize information

Communication Skills – to include effective development, interpretation, and expression of ideas through written, oral, and visual communication
CS1: Develop, interpret, and express ideas through written communication

Empirical and Quantitative Skills – to include the manipulation and analysis of numerical data or observable facts resulting in informed conclusions
EQS1: Manipulate and analyze numerical data and arrive at an informed conclusion
Instructional Goals and Purposes

The purpose of this course is to increase academic proficiency in expression of mathematical solutions have mathematical reasoning, and mathematical understanding.

Learning Outcomes

Learning Outcomes:  [from the ACGM Developmental Mathematics portion of the catalog] 

After studying all materials and resources presented in the course, the student will be able to:

  1. Use appropriate symbolic notation and vocabulary to communicate, interpret, and explain mathematical concepts.
  2. Define, represent, and perform operations on real numbers, applying numeric reasoning to investigate and describe quantitative relationships and solve real world problems in a variety of contexts.
  3. Use algebraic reasoning to solve problems that require ratios, rates, percentages, and proportions in a variety of contexts using multiple representations.
  4. Apply algebraic reasoning to manipulate expressions and equations to solve real world problems.
  5. Use graphs, tables, and technology to analyze, interpret, and compare data sets.
  6. Construct and use mathematical models in verbal, algebraic, graphical, and tabular form to solve problems from a variety of contexts and to make predictions and decisions.

 

Learning Outcomes: [from the ACGM Math 1332 Contemporary Mathematics portion of the catalog] 

 

Upon successful completion of this course, students will: 

 

  1. Apply the language and notation of sets.

 

  1. Determine the validity of an argument or statement and provide mathematical evidence.

 

  1. Solve problems in mathematics of finance.

 

  1. Demonstrate fundamental probability/counting techniques and apply those techniques to solve problems.
  2. Interpret and analyze various representations of data.

 

  1. Demonstrate the ability to choose and analyze mathematical models to solve problems from real-world settings, including, but not limited to, personal finance, health literacy, and civic engagement.
Course Content

A general description of lecture/discussion topics included in this course are listed in the Learning Objectives / Specific Course Objectives sections of this syllabus.

 

Students in all sections of this course will learn the following content:

 

  • This course includes 16 hours of required supplemental instruction. This material is at the beginning of the course and accounts for 25% of the overall grade.

 

  • Describe quantities and how they change.

 

  • Write an equivalent fraction or decimal, given a percent.

 

  • Find a percent of a whole.

 

  • Calculate absolute and relative change given two quantities.

 

  • Express a relationship as a rate.

 

  • Write a proportion equation given two rates or ratios and solve the proportion equation.

 

  • Determine when two quantities don’t scale proportionally, or more information is needed.

 

  • Find the area and volume of a geometric figure.

 

  • Define and implement a plan for solving mathematical problems.

 

  •  Calculate sales tax, property tax.  

 

  •  Calculate flat tax, progressive tax, and regressive tax.

 

  • Define units of length, wright, and capacity and convert from one to another.

 

  • Perform arithmetic calculations on units of length, weight, and capacity.

 

  • Solve application problems involving units of length, weight, and capacity.

 

  • Describe the general relationship between the U.S. customary units and metric units of length, weight/mass, and volume.

 

  • Define the metric prefixes and use them to perform basic conversions among metric units.

 

  • Solve application problems involving metric units of length, mass, and volume.

 

  • State the freezing and boiling points of water on the Celsius and Fahrenheit temperature scales.

 

  • Convert from one temperature scale to the other, using conversion formulas. 

 

  • Describe memberships of sets, including the empty set, using proper notation, and decide whether given items are members and determine the cardinality of a given set.

 

  • Perform the operations of union, intersection, complement, and difference on sets using proper notation.

 

  • Describe the relations between sets regarding membership, equality, subset, and proper subset, using proper notation.

 

  • Be able to draw and interpret Venn diagrams of set relations and operations and use Venn diagrams to solve problems.

 

  • Recognize when set theory is applicable to real-life situations, solve real-life problems, and communicate real-life problems and solutions to others.

 

  • Combine sets using Boolean logic, using proper notations.

 

  • Use statements and conditionals to write and interpret expressions.

 

  • Use a truth table to interpret complex statements or conditionals.

 

  • Write truth tables given a logical implication, and it’s related statements – converse, inverse, and contrapositive.

 

  • Determine whether two statements are logically equivalent.

 

  • Use DeMorgan’s laws to define logical equivalences of a statement.

 

  • Discern between an inductive argument and a deductive argument.

 

  • Evaluate deductive arguments.

 

  • Analyze arguments with Venn diagrams and truth tables.

 

  • Use logical inference to infer whether a statement is true.

 

  • Identify logical fallacies in common language including appeal to ignorance, appeal to authority, appeal to consequence, false dilemma, circular reasoning, post hoc, correlation implies causation, and straw man arguments.

 

  • Calculate future value and payments for savings annuities problems.

 

  • Calculate present value and payments for payout annuities problems.

 

  • Calculate present value and payments for loans problems.

 

  • Determine the appropriate financial formula to use given a scenario by recognizing key words and examining frequency of deposits or withdrawals, and whether account is growing or decreasing in value.

 

  • Analyze a home mortgage refinance scenario, forming judgments by combining calculations and opinion.

 

  • Solve a financial application for time using logarithms.

 

  • Define the population and the parameters of a study.

 

  • Discern between a census and a population.

 

  • Define the sample and statistics of a study.

 

  • Classify data as categorical or quantitative.

 

  • Identify an appropriate sample for a study.

 

  • Identify possible sources of sampling bias.

 

  • Identify different techniques for sampling data.

 

  • Define the population and the parameters of a study.

 

  • Discern between a census and a population.

 

  • Define the sample and statistics of a study.

 

  • Classify data as categorical or quantitative.

 

  • Identify an appropriate sample for a study.

 

  • Identify possible sources of sampling bias.

 

  • Identify different techniques for sampling data.

 

  • Present categorical data graphically using a frequency table, bar graph, Pareto chart, pie charts, pictograms.

 

  • Present quantitative data graphically using histograms, frequency tables, pie charts, or frequency polygons.


 

  • Define the measures of central tendency for a sample of data including mean, median, mode.


 

  • Define measures of variation of a sample of data including range, standard deviation, quartiles, box plots.

 

  • Describe a sample space and simple and compound events in it using standard notation.

 

  • Calculate the probability of an event using standard notation.

 

  • Calculate the probability of two independent events using standard notation.

 

  • Recognize when two events are mutually exclusive.

 

  • Calculate a conditional probability using standard notation.

 

  • Compute a conditional probability for an event.

 

  • Use Baye’s theorem to compute a conditional probability.

 

  • Calculate the expected value of an event.


 

Extended Hours:

Additional content with supplemental instruction will be included at the beginning of the course to ensure mathematical knowledge for the credit level coursework. 

Methods of Instruction/Course Format/Delivery

Methods employed by faculty 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
  10. Projects

Assignments

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, class preparedness and participation, collaborative learning projects, exams/tests/quizzes, homework, internet, library assignments, readings, research papers, scientific observations, student-teacher conferences, and written assignments.

The Mathematics Department does not accept late work. 

 

Assessments

  1. Exams per chapter or over combined chapters
  2. Projects/Group work/Research
  3. Comprehensive Final Exam/Project
Course Grade
Supplemental Instruction 25%
Class Participation 5%
Homework/Quiz Average 15%
Exams 40%
Comprehensive Final Exam 15%

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

You must have a C or higher in the Supplemental Instruction category to receive high school math credit for this course.

You must have a C or higher in the entire course to receive college credit for Math 1332.

Texts Materials, and Supplies
  • Textbook: Math for Liberal Arts Lumen Learning (No Purchase Necessary)
  • Lumen OHM (No Purchase Necessary)
  • Canvas Access
  • Desmos Calculator (No Purchase Necessary)
Other
This course counts as part of the academic requirements of the Panola College Core Curriculum and an Associate of Arts or Associate of Science degree
Yes