About this Course
Advanced Number Theory and Cryptography
The course "Advanced Number Theory and Cryptography" is designed to provide students with a comprehensive understanding of advanced topics in number theory and their applications in modern cryptography. This course explores the fascinating world of prime numbers, modular arithmetic, and their role in securing information in various communication systems.
In the first part of the course, students will delve deep into advanced number theory concepts. Topics covered include prime number theory, congruences, quadratic residues, Diophantine equations, continued fractions, and elliptic curves. Through rigorous mathematical proofs and problem-solving exercises, students will develop a strong foundation in number theory and gain insights into the underlying mathematical structures.
The second part of the course focuses on cryptography, the science of secure communication. Students will explore various cryptographic techniques, protocols, and algorithms used to protect sensitive information from unauthorized access. This includes symmetric and asymmetric encryption, digital signatures, hash functions, key exchange protocols, and public-key cryptography.
Throughout the course, students will analyze the security properties of cryptographic systems, study their vulnerabilities, and examine real-world applications. They will learn about the principles of data confidentiality, integrity, and authentication, and understand the challenges involved in designing secure communication systems.
Moreover, the course will also cover advanced topics in cryptanalysis, where students will learn techniques for breaking cryptographic schemes and analyzing their weaknesses. This includes attacks on encryption algorithms, side-channel attacks, and the role of computational complexity in cryptography.
By the end of the course, students will have acquired a solid understanding of advanced number theory concepts and their applications in cryptography. They will be equipped with the knowledge and skills necessary to analyze and design secure cryptographic systems, ensuring the confidentiality and integrity of sensitive information in various domains such as e-commerce, network security, and digital communication.
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Answer the certification questions by selecting a difficulty level:
Beginner: Master the material with interactive questions and more time.
Intermediate: Get certified faster with hints and balanced questions.
Advanced: Challenge yourself with more questions and less time
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To download and share your certificate, you must achieve a combined score of at least 75% on all questions answered.
Course Features
Honorary Certification
Receive a recognized certificate before completing the course.
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Frequently Asked Questions
For detailed information about our Advanced Number Theory and Cryptography course, including what you’ll learn and course objectives, please visit the "About This Course" section on this page.
The course is online, but you can select Networking Events at enrollment to meet people in person. This feature may not always be available.
The course doesn't have a fixed duration. It has 17 questions, and each question takes about 5 to 30 minutes to answer. You’ll receive your certificate once you’ve answered most of the questions. Learn more here.
The course is always available, so you can start at any time that works for you!
We partner with various organizations to curate and select the best networking events, webinars, and instructor Q&A sessions throughout the year. You’ll receive more information about these opportunities when you enroll. This feature may not always be available.
You will receive a Certificate of Excellence when you score 75% or higher in the course, showing that you have learned about the course.
An Honorary Certificate allows you to receive a Certificate of Commitment right after enrolling, even if you haven’t finished the course. It’s ideal for busy professionals who need certification quickly but plan to complete the course later.
The price is based on your enrollment duration and selected features. Discounts increase with more days and features. You can also choose from plans for bundled options.
Choose a duration that fits your schedule. You can enroll for up to 7 days at a time.
No, you won't. Once you earn your certificate, you retain access to it and the completed exercises for life, even after your subscription expires. However, to take new exercises, you'll need to re-enroll if your subscription has run out.
To verify a certificate, visit the Verify Certificate page on our website and enter the 12-digit certificate ID. You can then confirm the authenticity of the certificate and review details such as the enrollment date, completed exercises, and their corresponding levels and scores.
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