OFFICIAL SYLLABUS MATH 531-ALGEBRAIC CONTENT, PEDAGOGY, AND CONNECTIONS

... 2.1.2 The number line and decimal representation of numbers 2.1.3 Periods of periodic decimals 2.1.4 The distributions of various types of real numbers 2.2.1 The complex numbers and the complex plane 2.2.2 The geometry of complex number arithmetic Chapter 3: Functions 3.1.1 What is a function? 3.1.2 ...

... 2.1.2 The number line and decimal representation of numbers 2.1.3 Periods of periodic decimals 2.1.4 The distributions of various types of real numbers 2.2.1 The complex numbers and the complex plane 2.2.2 The geometry of complex number arithmetic Chapter 3: Functions 3.1.1 What is a function? 3.1.2 ...

Special Facts to Know

... Fibonacci – F0 = 0, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Lucas – F0 = 2, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Let s(n) be the sum of all the proper factors of n. Deficient – s(n) < n Perfect – s(n) = n Abundant – s(n) > n Let d(n) be the total number of digits in the prime factorization of n. Frugal / E ...

... Fibonacci – F0 = 0, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Lucas – F0 = 2, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Let s(n) be the sum of all the proper factors of n. Deficient – s(n) < n Perfect – s(n) = n Abundant – s(n) > n Let d(n) be the total number of digits in the prime factorization of n. Frugal / E ...

Introduction - Computer Science

... • Combinations, Permutations, Binomial theorem • Functions • Counting by mapping, pigeonhole principle • Recursions, generating functions ...

... • Combinations, Permutations, Binomial theorem • Functions • Counting by mapping, pigeonhole principle • Recursions, generating functions ...

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... Differential Equations: Formation of ordinary differential equations, Solution of homogeneous differential equations, Separation of variables method, Linear first order differential equations. Probability : Basic concepts and Problems on Probability. ...

... Differential Equations: Formation of ordinary differential equations, Solution of homogeneous differential equations, Separation of variables method, Linear first order differential equations. Probability : Basic concepts and Problems on Probability. ...

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... The first number corresponds to the algebraic equation x = 0, the two following numbers to the equations x ± 1 = 0, the six following to the equations x ± 2 = 0, 2x ± 1 = 0, x2 + 1 = 0, the twenty following to the equations x ± 3 = 0, 3x ± 1 = 0, x2 ± x ± 1 = 0, x2 ± 2 = 0, 2x2 ± 1 = 0. In practice, ...

... The first number corresponds to the algebraic equation x = 0, the two following numbers to the equations x ± 1 = 0, the six following to the equations x ± 2 = 0, 2x ± 1 = 0, x2 + 1 = 0, the twenty following to the equations x ± 3 = 0, 3x ± 1 = 0, x2 ± x ± 1 = 0, x2 ± 2 = 0, 2x2 ± 1 = 0. In practice, ...

ALGEBRAIC THINKING STRAND

... An equation is a sentence that has two equal mathematical expressions. two or more related linear equations ...

... An equation is a sentence that has two equal mathematical expressions. two or more related linear equations ...

PA Core Standards Numbers and Operations

... The Pennsylvania Core Standards in Mathematics in grades PreK–5 lay a solid foundation in whole numbers, addition, subtraction, multiplication, division, fractions, and decimals. Taken together, these elements support a student’s ability to learn and apply more demanding math concepts and procedures ...

... The Pennsylvania Core Standards in Mathematics in grades PreK–5 lay a solid foundation in whole numbers, addition, subtraction, multiplication, division, fractions, and decimals. Taken together, these elements support a student’s ability to learn and apply more demanding math concepts and procedures ...

Mathematical Approaches that Support K-12

... 2nd grade: What if I DID subtract a bigger number from a small one? What would happen if I tried to take 3 away from 2? 2 – 4? 2 – 5? ...

... 2nd grade: What if I DID subtract a bigger number from a small one? What would happen if I tried to take 3 away from 2? 2 – 4? 2 – 5? ...

This is a list of important publications in mathematics, organized by field.Some reasons why a particular publication might be regarded as important:Topic creator – A publication that created a new topicBreakthrough – A publication that changed scientific knowledge significantlyInfluence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness and A Source Book in Mathematics by David Eugene Smith.