Lecture notes

Benefit from the most comprehensive Internal Medicine Board review course available—developed by noted author and Kaplan Medical faculty member Dr. Conrad Fischer. This intensive program can also help you prepare for the USMLE Step 2 CK and Step 3 exams. The program includes 54 hours of lectures by our expert faculty and Dr. Fischer's Internal Medicine Lecture Notes.
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Lecture Notes on Linear System Theory, linear system theory: Introduction, introduction to Algebra, introduction to Analysis, time varying linear systems Solutions, Time invariant linear systems, Solutions and transfer functions,...
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Lecture notes on topology and geometry present on: General Topology, Algebraic Topology, Differential Topology, Differential Geometry, Differentiable manifolds,... Invite you to refer to the lecture content more learning materials and research.
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(BQ) Part 1 book "Lecture notes dermatology" presentation of content: Structure and function of the skin, hair and nails, approach to the diagnosis of dermatological disease, emergency dermatology, bacterial and viral infections, fungal infections, ectoparasite infections, eczema,... and other contents.
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(BQ) Part 1 book "Lecture notes dermatology" presentation of content: Naevi, inherited disorders, pigmentary disorders, bullous disorders, vascular disorders, connective tissue diseases, pruritus, systemic disease and the skin, skin and the psyche, cutaneous drug reactions,...and other contents.
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Institute for Theoretical Physics University of California Santa Barbara, CA 93106 carroll@itp.ucsb.edu December 1997 Abstract These notes represent approximately one semester’s worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein’s equations, and three applications: gravitational radiation, black holes, and cosmology. Individual chapters, and potentially updated versions, can be found at http://itp.ucsb.edu/~carroll/notes/. NSFITP/97147 grqc/9712019 .i Table of Contents 0.
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Lecture 2: Classical encryption techniques. This chapter includes contents: Basic vocabulary of encryption and decryption, building blocks of classical encryption techniques, caesar cipher, the swahili angle, monoalphabetic ciphers, the allfearsome statistical attack, multiplecharacter encryption to mask plaintext structure, another multiletter cipher, polyalphabetic ciphers,...
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Lecture 3: Block ciphers and the data encryption standard. This chapter include objectives: To introduce the notion of a block cipher in the modern context, to talk about the infeasibility of ideal block ciphers, to introduce the notion of the feistel cipher structure, to go over DES and the data encryption standard.
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Lecture 4: Finite fields (Part 1: Groups, rings, and fields theoretical underpinnings of modern cryptography). This chapter includes contents: Why study finite fields? What does it take for a set of objects to? infinite groups and abelian groups, rings, integral domain, fields.
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Lecture 5: Finite fields (Part 2: Modular arithmetic theoretical underpinnings of modern cryptography). This chapter include objectives: To review modular arithmetic, to present Euclid’s GCD algorithms, to present the prime finite field Zp, to show how Euclid’s GCD algorithm can be extended to find multiplicative inverses, Perl and Python implementations for calculating GCD and multiplicative inverses.
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Lecture 6: Finite fields (Part 3: Polynomial arithmetic theoretical underpinnings of modern cryptography). The goals of this chapter are: To review polynomial arithmetic, polynomial arithmetic when the coefficients are drawn from a finite field, the concept of an irreducible polynomial, polynomials over the GF(2) finite field.
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Lecture 7: Finite fields (Part 4: Finite fields of the form GF(2n )  Theoretical underpinnings of modern cryptography). The goals of this chapter are: To review finite fields of the form GF(2n), to show how arithmetic operations can be carried out by directly operating on the bit patterns for the elements of GF(2n), Perl and Python implementations for arithmetic in a Galois Field using my BitVector modules.
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Lecture 8  AES: The advanced encryption standard. In this chapter you will learn: Salient features of AES, the encryption key and its expansion, the overall structure of AES, the four steps in each round of processing, the substitution bytes step: subbytes and invsubbytes, the shift rows step: shiftrows and invshiftrows, the mix columns step: mixcolumns and invmixcolumns, the key expansion algorithm.
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Lecture 9: Using block and stream ciphers for secure wired and wifi communications. The goals of this chapter are: To present 2DES and its vulnerability to the meetinthemiddle attack, to present twokey 3DES and threekey 3DES, to present the five different modes in which a block cipher can be used in practical systems for secure communications,...
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Lecture 10: Key distribution for symmetric key cryptography and generating random numbers. The goals of this chapter are: Why might we need key distribution centers? Master key vs. session key, hierarchical and decentralized key distributions, generating pseudorandom numbers.
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Lecture 11: Prime numbers and discrete logarithms. The goals of this chapter are: Primality testing, fermat’s little theorem, the totient of a number, the millerrabin probabilistic algorithm for testing for primality, python and perl implementations for the millerrabin primality test, the AKS deterministic algorithm for testing for primality, chinese remainder theorem for modular arithmetic with large composite moduli, discrete logarithms.
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Lecture 12: Publickey cryptography and the RSA algorithm. In this chapter, the learning objectives are: To review publickey cryptography, to demonstrate that confidentiality and senderauthentication can be achieved simultaneously with publickey cryptography, to review the RSA algorithm for publickey cryptography,...
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Lecture 13: Certificates, digital signatures, and the diffiehellman key exchange algorithm. The goals of this chapter are: Authenticating users and their public keys with certificates signed by Certificate Authorities (CA), exchanging session keys with publickey cryptography, X.509 certificates, Perl and Python code for harvesting RSA moduli from X.509 certificates, the DiffieHellman algorithm for exchanging session keys.
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Lecture 14: Elliptic curve cryptography and digital rights management. The goals of this chapter are: Introduction to elliptic curves, a group structure imposed on the points on an elliptic curve, geometric and algebraic interpretations of the group operator, elliptic curves on prime finite fields, Perl and Python implementations for elliptic curves on prime finite fields,...
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Lecture 15: Hashing for message authentication. The goals of this chapter are: What is a hash function? Different ways to use hashing for message authentication, the oneway and collisionresistance properties of secure hash functions, the birthday paradox and the birthday attack, structure of cryptographically secure hash functions,...
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