MAT 104: Finite Mathematics, CRN 40097

Course Details

Semester

Summer 1, 2021

Instructor

Dr. S. Dutta Gupta

Email

[email protected]

Office

Note: In Summer 2021, I shall work remotely, our exams will be held on Zoom. The best way to reach me is to send me e mail.

Zoom link for all our exams

Meeting ID: 216 205 3416

Password: 336243

Meeting Schedule

Note: This course is an online asynchronous class, with 3 exam meetings proctored over Zoom, with cameras on (mandatory). To allow you the flexibility of time as an asynchronous class for the most part, while we do not have a specific class meeting time every day, there are course due dates that must be followed, and the assessment schedule must be adhered to. All exams will be given remotely with your camera on, with the following schedule:

Exam 1: Date 6/11, Friday; Time: noon-1:25 PM

Exam 2: Date 6/25, Friday; Time: noon-1:25PM

Final Exam: Date 7/9, Friday; Time: noon-1:25PM

Extension date (for any one exam if needed): Date 7/13,

Tuesday; Time: noon-1:25PM

Textbook

Finite Mathematics and its applications, 12th ed., Goldstein, Schneider, Siegel, and Hair ©2018 Pearson

Chapter 1    Sections 1–3.

Chapter 2    Sections 1–5.

Chapter 5    Sections 1–7.

Chapter 6    Sections 1–5.

Chapter 7    Sections 1–7.

Chapter 10   Sections 1–3.

Course Description

A brief review of algebra and its applications to business. Solutions of systems of linear equations; introduction to matrix algebra and its applications. Foundations of finite probability, interpretations of probability, equally-likely outcomes, independent events, conditional probability, Bayes’ theorem; frequency distributions, random variables, probability mass functions and cumulative distributions, binomial and normal distribution and their applications. Mathematics of finance and its applications.

Deferred Examination Policy

The summer 1 material will be completed by 7/9, Friday. Students who missed any one exam will make it up on 7/13, noon to 1:25PM, Tuesday.

Grading Policy

There will be 2 exams each worth 25% of your final grade and comprehensive Final exam that will be worth 30% of your grade. There will be 6 Select Problems Sets. The problems will be based upon the current chapter of the book. The Select Problem Sets grade is worth 10% of your final grade. Students are required to complete two Excel mini projects as part of their grade each worth 5% of your grade.

Assessments must be neat, legible, organized, and problems well labeled in order to be accepted. Assessments must be uploaded to Classes in a SINGLE pdf file. E mail submissions are not accepted.

Format:

File name for submissions: Full name Assessment#

(So if your name is Jane Doe and you are submitting Select Problem Set 5, your file name must be Jane Doe Select Problem Set 5, if you were submitting project 1, filename for submission should be Jane Doe Project1)

Type of upload: A single pdf file with problem numbers in numerical order.

To pass this course you must have a minimum weighted average of 60% based on all of the semester’s assessments.

Avg = 0.10(Select Problem Set) + 0.05(Project + Project 2) + 0.25(Exam 1 + Exam 2) + 0.30(Final Exam)

Technology Policy

Scientific Calculators are allowed. No other electronic devices are allowed to be used during exams. Every student must have access to Classes (classes.pace.edu), as the announcements, assignments, exams, readings, and other course materials will be distributed there. Students will be required to upload assignments through, and complete exams in Classes. Students are expected to have create Zoom account using Pace hosted Zoom web portal . Visit Pace University Learning and Working Remotely page for assistance.

Academic Integrity

http://www.pace.edu/sites/default/files/files/student-handbook/pace-university-academic-integrity-code.pdf

Students that violate the integrity code at a minimum will receive a zero on the assessment in question and at the instructor’s discretion may fail the course.

Exams

Students will be required to use video in Zoom either through a webcam or phone camera so that faculty can proctor exams with camera focused on the student. Students who do not turn on their video, or turn off their video during the exam, will be asked by the faculty member to turn on the camera. Students will be reminded of the Math NY Department video policy during examinations. Students with cameras off during a substantive portion, or all, of the exam, will be considered absent and need to take the deferred exam at the instructor’s discretion.

Students will upload their handwritten work to Classes.

Deferred exams will be available to students for any reason because it would be challenging to document technology issues. Students who do not submit their exam on time will have to use the deferred exam on 7/13. Students should know that deferred exams can be more difficult, and every effort should be made to take the in-class exam.

Student Accessibility Services will be utilized for students who receive documented accommodations.

All work is also submitted online, uploaded to Classes.

Course Objectives

By the end of this course a student should be able to:

Setup and solve word problems that arise in different mathematical settings.

Setup a system of linear equations as a matrix equation and be able to solve the resulting matrix equations.

Use Excel to invert matrices. Understand Excel’s limitations with respect to inverting nearly singular matrices.

Understand the basic concept of finite probability, including equally-likely outcomes, independent events, conditional probability, and Bayes’ theorem and apply them to real-life situations; for example, simple games of chance and medical tests.

Understand and work with random variables.

Use Excel to compute binomial, normal, and hypergeometric probabilities.

Calculate the monthly payment and the final worth of an annuity in a retirement fund, mortgage or loan.

Core Learning Outcomes

Communication

You will learn to covert real word problems into mathematical terms then translate solutions of these mathematical problems into English so that the solutions can be understood in their appropriate context.

Analysis

Analysis of problems using concepts of matrix algebra and finite probability.

Intellectual depth, breadth, examine, organize and integration and application

In topics such as solving system of linear equations, one needs to convert real world problems into the system of equations, solve it using appropriate techniques, then interpret the results in context of the word problem.

Problem solving

Figuring out effective how to translate real world problems into mathematical terms, making educated decisions for games of chance and making decisions regarding loans and retirement accounts are dealt with.

Scientific and quantitative reasoning

Knowing when answers can be mathematically impossible, which problems can be explicitly solved and when problems have a multitude of outcomes and how to determine the likelihood of different outcomes is learnt.

Technology Fluency

Use of Excel to solve problems and learning the shortcomings of the software.

University Policies

Academic Accommodation

The University's commitment to equal educational opportunities for students with disabilities includes providing reasonable accommodations for the needs of students with disabilities. To request a reasonable accommodation for a qualified disability a student with a disability must self-identify and register with Student Accessibility Services for his or her campus. No one, including faculty, is authorized to evaluate the need for or grant a request for an accommodation except Student Accessibility Services. Moreover, no one, including faculty, is authorized to contact Student Accessibility Services on behalf of a student. For further information, please see Resources for Students with Disabilities page.

Withdrawal Policy

Students will receive no credit for courses they discontinue. Students who do not withdraw within specific time times (consult the academic calendar) will continue to be registered for the course and will be assigned an “F” in the course affected if they have not completed the requirements of the course. For details consult the Academic calendar.

Pace University COVID-19 Safety (When you are in attendance at the University)

Please check CDC guidelines and University policy applicable. Students are expected to be familiar with the current COVID-19 regulations, which are posted on the Return to Campus website. See also up-to-date policies and announcements and more information about Pace University’s response to COVID-19.