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Applied Discrete Structures
(University of Massachusetts Lowell, 2013)
Chapter 1: Set Theory. Chapter 2: Combinatorics. Chapter 3: Logic. Chapter 4: More on Sets. Chapter 5: Introduction to Matrix Algebra. Chapter 6: Relations and Graphs. Chapter 7: Functions. Chapter 8: Recursion and Recurrence ...
A Computational Introduction to Number Theory and Algebra
(Cambridge University Press, 2008)
Chapter 1: Basic properties of the integers. Chapter 2: Congruences. Chapter 3: Computing with large integers. Chapter 4: Euclid’s algorithm. Chapter 5: The distribution of primes. Chapter 6: Abelian groups. Chapter 7: ...
Active Calculus
(Grand Valley State University, 2015)
Chapter 1: Understanding the Derivative. Chapter 2: Computing Derivatives. Chapter 3: Using Derivatives. Chapter 4: The Definite Integral. Chapter 5: Finding Antiderivatives and Evaluating Integrals. Chapter 6: Using ...
Abstract Algebra: Theory and Applications
(Stephen F. Austin State University, 2014)
Preliminaries. The Integers. Groups. Cyclic Groups. Permutation Groups. Cosets and Lagrange’s Theorem. Introduction to Cryptography. Algebraic Coding Theory. Isomorphisms. Normal Subgroups and Factor Groups. Homomorphisms. ...
Book of Proof
(Virginia Commonwealth University, 2012)
Chapter 1: Fundamentals. Chapter 2: How to Prove Conditional Statements. Chapter 3: More on Proof. Chapter 4: Relations, Functions and Cardinality.
Basic Analysis: Introduction to Real Analysis
(Jiˇrí Lebl, 2016)
Introduction. Chapter 1. Real Numbers. Chapter 2. Sequences and Series. Chapter 3. Continuous Functions. Chapter 4. The Derivative. Chapter 5. The Riemann Integral. Cjhapter 6. Sequences of Functions. Chapter 7: Metric ...
Precalculus
(Lorain County Community College, 2013)
Chapter 1: Relations and Functions. Chapter 2: Linear and Quadratic Functions. Chapter 3: Polynomial Functions. Chapter 4: Rational Functions. Chapter 5: Furthur Topics in Functions. Chapter 6: Exponential and Logarithmic ...
Mathematical Reasoning: Writing and Proof
(Grand Valley State University, 2014)
Introduction to Writing Proofs in Mathematics. Logical Reasoning. Constructing and Writing Proofs in Mathematics. Mathematical Induction. Set Theory. Functions. Equivalence Relations. Topics in Number Theory. Finite and ...
Math in Society
(Pierce College Ft Steilacoom, 2013)
Chapter 1: Problem Solving. Chapter 2: Voting Theory. Chapter 3: Weighted Voting. Chapter 4: Apportionment. Chapter 5: Fair Division. Chapter 6: Graph Theory. Chapter 7: Scheduling. Chapter 8: Growth Models. Chapter 9: ...
Notes on Diffy Qs: Differential Equations for Engineers
(Jiˇrí Lebl, 2014)
First order ODEs. Higher order linear ODEs. Systems of ODEs. Fourier series and PDEs. Eigenvalue problems. The Laplace transform. Power series methods. Nonlinear systems.