2025 Fall Course Syllabus - Mathematics 2111.003

Course Title:

Basic Concepts of Math

Course Credits:

4

Course Mode:

In person

Course Days and Time:

MWF 12:00-1:10pm

Course Room:

Wachman 109

Course Instructor:
Thomas Goller
Instructor Email:
thomas.goller@temple.edu
Instructor Office:

Wachman 516

Instructor Phone:

Use e-mail

Office Hours:

Mon. 10:40-11:30am, Wed. 1:20-2:10pm, Fri. 4-4:50pm; or by appointment

Course Materials:

Basic Concepts of Math, by Thomas Goller

Course grading scheme:

Skills (via quizzes): 40%, Skills (final exam): 20%, Problems: 15%, LaTeX practice: 5%, Participation: 20%

Course prerequisites:

Minimum grade of C (except where noted) in (Math 1042, Math 1942, Math 1951, any Math course numbered 2043 to 2110 (C- or higher; may be taken concurrently), any Math course numbered 2112 to 3080 (C- or higher; may be taken concurrently), 'Y' in MA07, 'Y' in MATW, 'Y' in CRMA09, or 'Y' in CRMA11)

Course goals:

Students should demonstrate clear and precise writing of mathematical proofs featuring a variety of proof techniques. Students should demonstrate understanding of key concepts, techniques, and theorems about sets, number theory, functions, relations, and limits, which are fundamental to much of modern mathematics. Students should demonstrate effective collaboration with their classmates in understanding mathematics and solving mathematics problems.

Topics covered:

This is a course designed to introduce students to mathematical abstraction and the language of mathematical proof. Topics include logic, sets, relations, integers, induction and modular arithmetic, functions, and cardinality. It will also cover inequalities and limits of sequences and functions. This course is highly recommended for students who have not been exposed to mathematical proof and intend to take advanced math courses.

Exam dates:

Final Exam: Dec. 10 (Wednesday), Wachman 109, 10:30am-12:30pm.

Attendance policy:

Regular attendance is crucial for performing well in the course. Please inform your instructor if you will be missing multiple class meetings. You are responsible for keeping up with course materials and deadlines via the Canvas page.

Technology Specifications for this Course:
You will need access to a computer for typing mathematics (such as by using the website Overleaf).
Canvas Page:

All course materials and assignments will be available on the Canvas page for this course. Check Canvas frequently for course materials, assignments, and announcements.

Homework:

The textbook contains 21 problems. Students are expected to complete 15 of these problems throughout the semester. Each week, at most three problems can be submitted at the specified time to receive feedback. Each problem will be marked C (complete) or R (revise and resubmit). Revised problems may be resubmitted in later weeks. The final score will be the number of complete problems (maximum 15).

 

You are encouraged to discuss the problems with other students and get hints in office hours, from a tutor, or elsewhere, but you should write all solutions yourself in your own words. Work copied from another student or from any other source will not be accepted.

LaTeX Practice:

You will type up your solutions to five homework problems using LaTeX. An introduction to using LaTeX and a template for this assignment will be provided later in the course.

Letter Grades:

The following standard grade scheme provides a baseline: 93-100 A, 90-92 A-, 87-89 B+, 83-86 B, 80-82 B-, 77-79 C+, 73-76 C, 70-72 C-, 67-69 D+, 63-66 D, 60-62 D-, 0-59 F. I may be slightly more generous when assigning letter grades.

Quiz Make-up Policy:

Make-ups for missed quizzes can be arranged if prior notice of a compelling reason is given (inform me at least a day in advance) or in cases of documented emergencies (contact me as soon as possible after the emergency).

Attendance and Your Health:

To achieve course learning goals, students must attend and participate in classes, according to the course requirements. However, if you have tested positive for or are experiencing symptoms of a contagious illness, you should not come to campus or attend in-person classes or activities. It is the student’s responsibility to contact me to create a plan for participation and engagement in the course as soon as you are able to do so, and to make a plan to complete all assignments in a timely fashion.

Expectations for Class Conduct :

It is important to foster a respectful and productive learning environment that includes all students in our diverse community of learners. Our differences, some of which are outlined in the University's nondiscrimination statement, will add richness to this learning experience. Therefore, all opinions and experiences, no matter how different or controversial they may be perceived, must be respected in the tolerant spirit of academic discourse. 

Disability Statement:

Any student who has a need for accommodations based on the impact of a documented disability or medical condition should contact Disability Resources and Services (DRS) in Howard Gittis Student Center South, Rm 420 (drs@temple.edu; 215-204-1280) to request accommodations and learn more about the resources available to you. If you have a DRS accommodation letter to share with me, or you would like to discuss your accommodations, please contact me as soon as practical. I will work with you and with DRS to coordinate reasonable accommodations for all students with documented disabilities. All discussions related to your accommodations will be confidential.

Academic Freedom:

Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here (opens in new tab/window).

Add/Drop Policy:

Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar (opens in new tab/window) for exact dates.

 

During the Drop/Add period, students may drop a course with no record of the class appearing on their transcript. Students are not financially responsible for any courses dropped during this period. In the following weeks prior to or on the withdrawal date students may withdraw from a course with the grade of "W" appearing on their transcript. After the withdrawal date students may not withdraw from courses. Check the University Calendar (opens in new tab/window) for exact dates. See the full policy by clicking here (opens in new tab/window).

AI Policy:

The use of generative AI tools (such as ChatGPT, DALL-E, etc.) is not permitted in this class unless specifically announced for a particular assignment; therefore, any use of AI tools for work in this class may be considered a violation of Temple University's Academic Honesty policy and Student Conduct Code, since the work is not your own. The use of unauthorized AI tools will result in a grade of zero on the assignment; a second offense will be reported to the Student Conduct Board.

Incomplete Policy:

The grade "I" (an "incomplete") is only given if students cannot complete the course work due to circumstances beyond their control. It is necessary for the student to have completed the majority of the course work with a passing average and to sign an incomplete contract which clearly states what is left for the student to do and the deadline by which the work must be completed. The incomplete contract must also include a default grade that will be used in case the "I" grade is not resolved by the agreed deadline. See the full policy by clicking here (opens in new tab/window).

Student Support Services:

The following academic support services are available to students (all links open in a new tab/window): 
    The Math Consulting Center 
    Student Success Center 
    University Libraries 
    Undergraduate Research Support 
    Career Center 
    Tuttleman Counseling Services 
    Disability Resources and Services 
If you are experiencing food insecurity or financial struggles, Temple provides resources and support. Notably, the Temple University Cherry Pantry and the Temple University Emergency Student Aid Program are in operation as well as a variety of resources from the Division of Student Affairs.

Year
Semester
Course
Section
Course Extra
Title
Canvas Page
Description

All course materials and assignments will be available on the Canvas page for this course. Check Canvas frequently for course materials, assignments, and announcements.

Title
Homework
Description

The textbook contains 21 problems. Students are expected to complete 15 of these problems throughout the semester. Each week, at most three problems can be submitted at the specified time to receive feedback. Each problem will be marked C (complete) or R (revise and resubmit). Revised problems may be resubmitted in later weeks. The final score will be the number of complete problems (maximum 15).

 

You are encouraged to discuss the problems with other students and get hints in office hours, from a tutor, or elsewhere, but you should write all solutions yourself in your own words. Work copied from another student or from any other source will not be accepted.

Title
LaTeX Practice
Description

You will type up your solutions to five homework problems using LaTeX. An introduction to using LaTeX and a template for this assignment will be provided later in the course.

Title
Letter Grades
Description

The following standard grade scheme provides a baseline: 93-100 A, 90-92 A-, 87-89 B+, 83-86 B, 80-82 B-, 77-79 C+, 73-76 C, 70-72 C-, 67-69 D+, 63-66 D, 60-62 D-, 0-59 F. I may be slightly more generous when assigning letter grades.

Title
Quiz Make-up Policy
Description

Make-ups for missed quizzes can be arranged if prior notice of a compelling reason is given (inform me at least a day in advance) or in cases of documented emergencies (contact me as soon as possible after the emergency).

Title
Attendance and Your Health
Description

To achieve course learning goals, students must attend and participate in classes, according to the course requirements. However, if you have tested positive for or are experiencing symptoms of a contagious illness, you should not come to campus or attend in-person classes or activities. It is the student’s responsibility to contact me to create a plan for participation and engagement in the course as soon as you are able to do so, and to make a plan to complete all assignments in a timely fashion.

Title
Expectations for Class Conduct
Description

It is important to foster a respectful and productive learning environment that includes all students in our diverse community of learners. Our differences, some of which are outlined in the University's nondiscrimination statement, will add richness to this learning experience. Therefore, all opinions and experiences, no matter how different or controversial they may be perceived, must be respected in the tolerant spirit of academic discourse. 

Title
Disability Statement
Description

Any student who has a need for accommodations based on the impact of a documented disability or medical condition should contact Disability Resources and Services (DRS) in Howard Gittis Student Center South, Rm 420 (drs@temple.edu; 215-204-1280) to request accommodations and learn more about the resources available to you. If you have a DRS accommodation letter to share with me, or you would like to discuss your accommodations, please contact me as soon as practical. I will work with you and with DRS to coordinate reasonable accommodations for all students with documented disabilities. All discussions related to your accommodations will be confidential.

Title
Academic Freedom
Description

Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here (opens in new tab/window).

Title
Add/Drop Policy
Description

Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar (opens in new tab/window) for exact dates.

 

During the Drop/Add period, students may drop a course with no record of the class appearing on their transcript. Students are not financially responsible for any courses dropped during this period. In the following weeks prior to or on the withdrawal date students may withdraw from a course with the grade of "W" appearing on their transcript. After the withdrawal date students may not withdraw from courses. Check the University Calendar (opens in new tab/window) for exact dates. See the full policy by clicking here (opens in new tab/window).

Title
AI Policy
Description

The use of generative AI tools (such as ChatGPT, DALL-E, etc.) is not permitted in this class unless specifically announced for a particular assignment; therefore, any use of AI tools for work in this class may be considered a violation of Temple University's Academic Honesty policy and Student Conduct Code, since the work is not your own. The use of unauthorized AI tools will result in a grade of zero on the assignment; a second offense will be reported to the Student Conduct Board.

Title
Incomplete Policy
Description

The grade "I" (an "incomplete") is only given if students cannot complete the course work due to circumstances beyond their control. It is necessary for the student to have completed the majority of the course work with a passing average and to sign an incomplete contract which clearly states what is left for the student to do and the deadline by which the work must be completed. The incomplete contract must also include a default grade that will be used in case the "I" grade is not resolved by the agreed deadline. See the full policy by clicking here (opens in new tab/window).

Title
Student Support Services
Description

The following academic support services are available to students (all links open in a new tab/window): 
    The Math Consulting Center 
    Student Success Center 
    University Libraries 
    Undergraduate Research Support 
    Career Center 
    Tuttleman Counseling Services 
    Disability Resources and Services 
If you are experiencing food insecurity or financial struggles, Temple provides resources and support. Notably, the Temple University Cherry Pantry and the Temple University Emergency Student Aid Program are in operation as well as a variety of resources from the Division of Student Affairs.

Course title

Basic Concepts of Math

Course credits

4

Course mode

In person

Course Days and Time

MWF 12:00-1:10pm

Course room

Wachman 109

Your office

Wachman 516

Your office hours

Mon. 10:40-11:30am, Wed. 1:20-2:10pm, Fri. 4-4:50pm; or by appointment

Course materials

Basic Concepts of Math, by Thomas Goller

Course grading scheme

Skills (via quizzes): 40%, Skills (final exam): 20%, Problems: 15%, LaTeX practice: 5%, Participation: 20%

Course prerequisites

Minimum grade of C (except where noted) in (Math 1042, Math 1942, Math 1951, any Math course numbered 2043 to 2110 (C- or higher; may be taken concurrently), any Math course numbered 2112 to 3080 (C- or higher; may be taken concurrently), 'Y' in MA07, 'Y' in MATW, 'Y' in CRMA09, or 'Y' in CRMA11)

Course goals

Students should demonstrate clear and precise writing of mathematical proofs featuring a variety of proof techniques. Students should demonstrate understanding of key concepts, techniques, and theorems about sets, number theory, functions, relations, and limits, which are fundamental to much of modern mathematics. Students should demonstrate effective collaboration with their classmates in understanding mathematics and solving mathematics problems.

Description of topics covered

This is a course designed to introduce students to mathematical abstraction and the language of mathematical proof. Topics include logic, sets, relations, integers, induction and modular arithmetic, functions, and cardinality. It will also cover inequalities and limits of sequences and functions. This course is highly recommended for students who have not been exposed to mathematical proof and intend to take advanced math courses.

Exam dates

Final Exam: Dec. 10 (Wednesday), Wachman 109, 10:30am-12:30pm.

Attendance Policy

Regular attendance is crucial for performing well in the course. Please inform your instructor if you will be missing multiple class meetings. You are responsible for keeping up with course materials and deadlines via the Canvas page.

Technology Specifications for this Course
You will need access to a computer for typing mathematics (such as by using the website Overleaf).
Course Instructor
Thomas Goller
Instructor Email
thomas.goller@temple.edu