Week 1

August 22-26

Introduction to Algebraic Structures

Define algebraic structures and their applications.

Assignment 1: Basic Algebra Problems

Introduction of the course syllabus

Week 2

August 29 - September 2

Groups and Fields

Explore properties of groups and fields in mathematics.

Assignment 2: Group Theory Worksheet

Class discussion on applications in computer science

Week 3

September 5-9

Ring Theory

Understand ring theory and its implications in abstract algebra.

Assignment 3: Rings and Fields Exploration

Start working on the midterm project outline

Week 4

September 12-16

Module Theory

Learn about module theory and vector spaces.

Assignment 4: Vector Spaces Application

Guest lecture on theoretical mathematics (September 15)

Week 5

September 19-23

Linear Algebra Review

Review matrix theory, determinants, and systems of linear equations.

Assignment 5: Linear Systems Problems

Midterm project submission guidelines distributed

Week 6

September 26-30

Midterm Exam Preparation

Review all concepts covered and prepare for the midterm exam.

Midterm Study Guide

Midterm exam (October 3, 2060)

Week 7

October 3-7

Midterm Exam

Comprehensive exam covering Weeks 1-6.

N/A

Midterm on October 3

Week 8

October 10-14

Advanced Number Theory

Introduce and explore advanced topics in number theory.

Assignment 6: Number Theory Exploration

Week 9

October 17-21

Galois Theory

Study Galois theory and its importance in solving polynomial equations.

Assignment 7: Galois Theory Worksheet

Midterm project due October 21

Week 10

October 24-28

Algebraic Geometry

Introduction to algebraic geometry concepts and their practical applications.

Assignment 8: Algebraic Geometry Problems

Week 11

October 31 - November 4

Review and Project Work

Review content and work on final projects.

Continue work on the final project

Instructor meetings available for project assistance

Week 12

November 7-11

Final Exam Preparation

Review and focus on key concepts for the final exam.

Final Exam Study Guide

Final project due November 10

Week 13

November 14-18

Final Exam

Comprehensive exam covering the entire course.

N/A

Final exam on November 14

Week 14

November 21-25

Final Project Presentations

Student presentations of final projects.

N/A

Final grades are due on November 30

Monday

August 22, 2060

Course Overview, Expectations

Course syllabus, notebooks, pencils

Read Chapter 1

Wednesday

August 24, 2060

Introduction to Algebra

Algebra textbook, calculator

Assignment 1

Friday

August 26, 2060

Algebraic Structures

Graphing tools, ruler

Assignment 2

Monday

August 29, 2060

Group Theory

Group Theory textbook

Review notes from previous classes

Wednesday

August 31, 2060

Continued Group Theory

Same as previous

Assignment 3 is due September 2

Friday

September 2, 2060

Field Theory

Graph paper, rulers

Assignment 4 is due on September 9

Monday

September 5, 2060

Module Theory

Module theory materials

Assignment 5 is due on September 12

Assignment 1

Solve basic algebra problems to familiarize with the concepts.

August 26, 2060

10%

Assignment 2

Group theory problems based on Week 2 lectures.

September 2, 2060

10%

Assignment 3

Exploration of rings and fields in mathematics.

September 9, 2060

10%

Midterm Project Outline

Submit a detailed outline of your midterm project topic.

September 19, 2060

15%

Midterm Exam

Comprehensive exam covering Weeks 1-6.

October 3, 2060

20%

Assignment 6

Exploration of advanced number theory concepts.

October 14, 2060

10%

Final Project

Submit a comprehensive project report on the chosen abstract algebra topic.

November 10, 2060

25%

Final Exam

Comprehensive exam covering the entire course.

November 14, 2060

25%