• Probability & statistics • Basic concepts in information theory • Linear Algebra

1 The Foundations: Logic and Proofs 2 Basic Structures: Sets, Functions, Sequences, Sums, and Matrices 3 Algorithms 4 Number Theory and Cryptography 5 Induction and Recursion 6 Counting 7 Discrete Probability 8 Advanced Counting Techniques 9 Relations 10 Graphs 11 Trees 12 Boolean Algebra 13 Modeling Computation

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•Introduction •The basic concepts •Work and heat •State functions and exact differentials

2.1 Basic terms in thermodynamics 2.2 the First law of thermodynamics 2.3 Heat of a chemical reaction 2.4 the Hess's law

1. Definition and basic concepts 2. The interpretation of diagram 3. The study of a development phase diagram 4. Study of a binary alloy phase diagram

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