Math 105
Algebra and Number Theory 1
Faculty
To be announced
Coming soon
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
Students will learn about basic notions of Number Theory, such as congruences, prime numbers, Euclidean algorithm and arithmetic/geometric sequences. As an application, they will be introduced to Cryptography.
Learning highlights
- The main objective of this course is to refresh the basic notions of Algebra from high school and deepen them into Number Theory.
- This will allow the students to get an introductory view of cryptography and its relation to prime numbers.
Course outline
15 classes
Session 1
Ratios
Percents
Conversion factors
Session 2
Proportions
Rate problems
Session 3
Arithmetic sequences
Session 4
Geometric sequences
Session 5
Review
Midterm I
Session 6
Prime numbers
Session 7
Division algorithm
Session 8
Congruence
Session 9
Euclidean algorithm
Session 10
Review
Midterm II
Session 11
Integer representations
Session 12
Cryptography I
Session 13
Cryptography II
Session 14
General review
Final Exam
Final Exam
Course materials
Books
Methodology
Each class will consist of a theoretical part illustrated by examples and exercises. Students are encouraged to try and solve these exercises during class and are encouraged to ask as many questions as possible; there will be room for open discussion and questions.
Practicing exercises will be given after each class. These are expected to be handed over after a couple of days. At the end of each week, we’ll dedicate time for a correction session for the homework of the week, followed by a midterm exam.
Finally, the module ends with a tutorial session where students can review what they have learned with the professor and a final exam. Participation is more than welcome, and will be part of the final grade.
Grading
Apply for this course
Algebra and Number Theory 1
by To be announced
Total hours
45 Hours
Dates
Jan 09 - Jan 27, 2023
Fee for single course
€1500
Fee for degree students
€750
How to secure your spot
Complete the form below to kickstart your application
Schedule your Harbour.Space interview
If successful, get ready to join us on campus
FAQ
Will I receive a certificate after completion?
Yes. Upon completion of the course, you will receive a certificate signed by the director of the program your course belonged to.
Do I need a visa?
This depends on your case. Please check with the Spanish or Thai consulate in your country of residence about visa requirements. We will do our part to provide you with the necessary documents, such as the Certificate of Enrollment.
Can I get a discount?
Yes. The easiest way to enroll in a course at a discounted price is to register for multiple courses. Registering for multiple courses will reduce the cost per individual course. Please ask the Admissions Office for more information about the other kinds of discounts we offer and what you can do to receive one.