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Kevin Liftig » UCONN ECE: MATH 1030Q: Elementary Discrete Mathematics

UCONN ECE: MATH 1030Q: Elementary Discrete Mathematics

MATH 1030Q: Elementary Discrete Mathematics

Kevin Liftig

North Haven High School

Spring 2024


This course is given in cooperation with UConn Early College Experience ece.uconn.edu


UCONN COURSE DESCRIPTION

Three credits ($150). Offered Fall or Spring.

Topics chosen from discrete mathematics. May include counting and probability, sequences, graph theory, deductive reasoning, the axiomatic method and finite geometries, number systems, voting methods, apportionment methods, mathematics of finance, number theory.

Eligibility Guidelines: Successful completion of one year of pre-calculus is recommended. Not open for credit to students who have passed any math course other than MATH 1011, 1020, 1030, 1040, 1060 or 1070. UConn ECE Math 1030Q cannot be taken concurrent with or after UConn ECE Math 1131Q or 1132Q.

COURSE GOALS/LEARNING OBJECTIVES

This course will introduce you to and help you appreciate a variety of topics in mathematics, and through these topics develop your skills in problem solving, critical thinking, and communicating complex ideas to others both verbally and in writing.


REQUIRED TEXTBOOK AND MATERIALS 

Primary Text: Gilbert, George T. and Hatcher, Rhonda L. Mathematics Beyond The Numbers, Second Edition Revised printing Dubuque, IA 2015



COURSE GRADING 


You may notice that your high school grade and UConn grade differ. It is possible that two different grades can be awarded for the same course. Your high school grade is determined by North Haven High School. Your UConn course grade is determined by the grading rubric set by the University department.


For North Haven High School, your grade will be the average of each quarter (weighted 40% each) and the Final Exam (weighted 20%) 


Each quarter your grade will be assessed through:


Practice Problem Sets Hw   10%

Written Assignments Hw 10%

Participation 10%

 (as assessed through in class speaking or writing) 

Papers 35%

Quizzes/Performance tasks 35%


Over the entire course this means that your total course grade will be weighted as follows

Practice Problem Sets Hw   8%

Written Assignments Hw 8%

Participation 8%

 (As assessed through in class speaking or writing) 

Papers 28%

Quizzes/Performance tasks 28%

Final Exam   20%


Below is a letter grade conversion chart:

 

A          

[92, 100]

B

[82,88)

C

[72, 78)

D

[62, 68)

A-                     

[90, 92)

B-

[80, 82)

C-

[70, 72)

D-

[60, 62)

B+

[88, 90)

C+

[78, 80)

D+

[68, 70)

F

[0,60)

ASSIGNMENTS:

 

For each course meeting you will have a homework assignment that either asks you to complete problems and examples of the mathematics, or to write and explain the mathematical process being used. These homework assignments will be collected and graded. Each class there will also be discussion, presentation of problems to your classmates, and verbal justification that will count for a portion of your grade. This can be substituted with a written journal or reflection on the topic.


Each unit you will either have a summative quiz, writing assignment, and/or performance task that asks you to demonstrate your knowledge of the content from each unit. There will be a cumulative final examination for the course.





COURSE SCHEDULE/TOPICS/

Unit 1 Voting Methods:                

Class

Topic

Text Section

1

Introduction to Voting Methods and Plurality, Run off and Ranked Choice

1.1

2

Borda Count Voting

1.2

3

Head to Head comparison

1.3

4

Approval Voting

1.4

5

Mathematical “Fairness” in voting, what is Ideal

1.5

6

Weighted Voting

1.6

7

Weighted Voting

1.6

8

Quiz/Paper

 

Unit 2 Apportionment

Class

Topic

Text Section

9

What is apportionment /Quota method

2.1

10

Early Divisor Method

2.2

11

Modern Apportionment

2.3

12

Ideal Apportionment

2.4

13

Quiz/Paper

 

Unit 3 Finance

Day

Topic

Text Section

14

Exponential function and logarithms review

3.1

15

Simple Interest

3.2

16

Compound Interest

3.3

17

Saving

3.4

18

Amortization and loans

3.5

19

Performance Task/ Quiz

 


Unit 4 Probability March?

Day

Topic

Text Section

20

Intro to probability

4.1, 4.2

21

Probability day 2

4.3

22

Conditional Probability

4.4

23

Permutation and Combination

4.5

24

Probability with Combinatorics

4.6

25

EV

4.7

26

Genetics

4.8

27

Quiz

 


Unit 5 Graph Theory b4 april break q4 ~ 6 Classes

Day

Topic

Text Section

28

Intro to graph theory

6.1

29

Day 2

6.1

30

Traveling Salesman

6.2

31

Day 2

6.2

32

Efficient networks

6.3

33

Performance Task/Quiz

 

Unit Number Theory

Day

Topic

Text Section

34

Intro, Divisibility 

8.1

35

Modular arithmetic and divisibility tests

8.2, 8.3

36

Check digits and tournament

8.4, 8.5

37

Cryptology

8.6

38

Advanced encryption methods

8.7

 

Quiz/Performance Task

 

Day

Topic

39

Review

40

Final






COURSE POLICIES


Attendance: 

Please refer to the NHHS handbook for policies concerning attendance and tardiness. Be aware that any absences will cause you to miss important classwork, which can affect your understanding of material. Please make an effort to be present in class every day. You are responsible for any missed work. Work missed because of a CLASS CUT cannot be made up and will be recorded as a zero.


Participation: 

Students are expected to come to class prepared to participate verbally, through writing, through calculation and presentation of their thoughts and process to their classmates.

Final Exam Policy:

The Final Exam for this course follows guidelines set by the University of Connecticut for the course Math 1030Q Elementary Discrete Mathematics. Students are required to take the Final Exam to receive credit for the course.

Make Up Work for Legitimate Absences:

If a student has an excused absence students will have two school days upon (Full AB cycle) to seek help for the content missed and complete the missing work or quiz. 


ACADEMIC Integrity statement (From NHHS Student Handbook)

The North Haven Public Schools continually strive for academic excellence.  Students are expected to pursue their schoolwork with integrity and honesty.  Cheating and plagiarism demonstrates a lack of integrity and character that is inconsistent with the goals and values of the District.

This policy focuses on two common areas of academic dishonesty: cheating and plagiarism, which are defined in the NHHS Student Handbook

A student who engages in any form of academic dishonesty will be subject to the loss of credit for the work in question, as well as other disciplinary measures.



The Student Code, the Policy Against Discrimination, Harassment and Related Interpersonal Violence, and other university policies may be found here, provost.uconn.edu/faculty-and-staff-resources/syllabi-references.  



Disclaimer: I reserve the right to change this syllabus at any time