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Major Goals: = Sage Primers =
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1. SAGE as a Smart Calculator (from the students' point of view)
2. SAGE Primers		 <<TableOfContents>>
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LINKS:
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http://docutils.sourceforge.net/rst.html ---- /!\ '''Edit conflict - other version:''' ----
== Done / In Progress ==
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Sage Tutorial ---- /!\ '''Edit conflict - your version:''' ----
== Done / In Progress ==
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Goals: ---- /!\ '''End of edit conflict''' ----
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1) Accessible to high school math teachers and undergraduate mathematics majors.     * 0. Front Matter
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2) Anticipated user desires     * 1. Basics
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a. Content specific modules           * 1.1. Primer Template: An Example [[attachment:primer_template\example.sws]] [[attachment:primer_design_principles.rtf]]
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i. Quadratic Forms           * 1.2. Sage as a Smart Calculator [[attachment:sage_as_a_smart_calculator.sws]]
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ii. Group theory           * 1.4. Sage Devel Basics [Erik, Aly]
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iii. Abstract algebra
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iv. Calculus ---- /!\ '''Edit conflict - other version:''' ----
          * 1.3. Sage Devel Basics [Erik, Aly]
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v. Number theory
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vi. High school algebra / trigonometry / precalculus
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vii. Probability ---- /!\ '''Edit conflict - your version:''' ----
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viii. Statistics ---- /!\ '''End of edit conflict''' ----
    * 2. Calculus
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b. Plotting 2 and 3 dimensions           * 2.1. Differential Calculus [[attachment:differential_calculus.sws]]
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c. Sage math functions (sage as calculator), sage constants           * 2.2. Integral Calculus [Sourav]
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d. Generate Classroom examples     * 3. Linear Algebra
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i. show (), latex()           * 3.1. Matrix Algebra [Sourav]
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ii. matplotlab
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3) Demonstrate SAGE functionality: ---- /!\ '''Edit conflict - other version:''' ----
          * 2.2. Integral Calculus [Sourav]
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a. Primes     * 3. Linear Algebra
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b. Random numbers           * 3.1. Matrix Algebra [Sourav]
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c. Plotting
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d. Interact ---- /!\ '''Edit conflict - your version:''' ----
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e. Sage data types ---- /!\ '''End of edit conflict''' ----
    * 4. Abstract Algebra
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f. Email(?)           * 4.1. Group Theory [[attachment:group_theory.txt]] (by Robert Beezer)
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4) Programming     * 5. Number Theory
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a. Types, casting, relevant Sage data types           * 5.1. Elementary Number Theory I [[attachment: number_theory.primes_0.1.sws]]
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b. Lists, tuples
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c. Control operators (if, then, else, logical operators, in, srange()) ---- /!\ '''Edit conflict - other version:''' ----
          * 5.2. Elementary Number Theory II [Erik]
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d. Loops           * 5.5. Quadratic Forms [[attachment: quadratic_forms.sws]]
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i. For, in, srange(), range()           * 5.7. Quaternion Algebra [Sourav]
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e. Functions ---- /!\ '''Edit conflict - your version:''' ----
          * 5.2. Elementary Number Theory II [Erik]
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f. Recursion           * 5.5. Quadratic Forms [[attachment: quadratic_forms.sws]]
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5) Topics           * 5.7. Quaternion Algebra [Sourav]
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a. Primes and factorization ---- /!\ '''End of edit conflict''' ----
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i. Given a random number, is it a prime?     * 9. About this document ...
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1. Modular division
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a. random()
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b. Factor() == To Do ==
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2. Euclidean algorithm     * 1. Basics
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a. Recursion
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b. gcd() ---- /!\ '''Edit conflict - other version:''' ----
          * 1.3. Programming in Sage [Erik]
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3. primality testing           * 1.5. 2D and 3D Plotting in Sage [Erik]
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a. for loops           * 1.6. Interact in Sage [Erik]
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b. range() ---- /!\ '''Edit conflict - your version:''' ----
          * 1.3. Programming in Sage
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c. is_prime() ---- /!\ '''End of edit conflict''' ----
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ii. How many primes are there?     * 2. Calculus
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1. prime_pi()
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2. plotting example ---- /!\ '''Edit conflict - other version:''' ----
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iii. Where are the primes? ---- /!\ '''Edit conflict - your version:''' ----
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1. Density of primes ---- /!\ '''End of edit conflict''' ----
          * 2.3. Multivariate Calculus
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2. primes()           * 2.4. Taylor Series and Infinite Sums
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3. Arithemtic sequences of primes           * 2.5. Differential Equations
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b. Diophantine equations     * 3. Linear Algebra
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i. Linear Diophantine equation
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1. extended euclidean algorithm ---- /!\ '''Edit conflict - other version:''' ----
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2. recursion vs iteration ---- /!\ '''Edit conflict - your version:''' ----
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ii. diagonal quadratic forms; sums of squares (ENT p. 25) ---- /!\ '''End of edit conflict''' ----
          * 3.2. Vector Spaces [Sourav]
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1. Pythagorean triples and generating them     * 4. Abstract Algebra
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2. Graphing the Pythagorean triples           * 4.2. Rings and Fields [Erik]
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3. Enumerating all triples using linear intersections     * 5. Number Theory
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4. Elliptic curves and congruent numbers (chapter 6, stein)
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iii. Pell’s Equation (?) ---- /!\ '''Edit conflict - other version:''' ----

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          * 5.3. Cryptography [Dan]

          * 5.4. Elliptic Curves [Aly]

          * 5.6. Automorphic Forms


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          * 5.8. Modular Forms

    * 6. Combinatorics

          * 6.1. Counting

          * 6.2. Graph Theory

    * 7. Geometry

    * 8. Statistics

          * 8.1. Statistical Methods [Erik]

          * 8.2. Probability [Erik]

          * 8.3. Finance

Sage Primers

Contents

  1. Sage Primers
    1. Done / In Progress
    2. Done / In Progress
    3. To Do

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Done / In Progress

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Done / In Progress

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  • 1.3. Sage Devel Basics [Erik, Aly]

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/!\ End of edit conflict

  • 2. Calculus
  • 3. Linear Algebra
    • 3.1. Matrix Algebra [Sourav]

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  • 2.2. Integral Calculus [Sourav]
  • 3. Linear Algebra
    • 3.1. Matrix Algebra [Sourav]

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/!\ End of edit conflict

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  • 5.2. Elementary Number Theory II [Erik]

  • 5.5. Quadratic Forms quadratic_forms.sws

  • 5.7. Quaternion Algebra [Sourav]

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  • 5.2. Elementary Number Theory II [Erik]

  • 5.5. Quadratic Forms quadratic_forms.sws

  • 5.7. Quaternion Algebra [Sourav]

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  • 9. About this document ...

To Do

  • 1. Basics

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  • 1.3. Programming in Sage [Erik]
  • 1.5. 2D and 3D Plotting in Sage [Erik]
  • 1.6. Interact in Sage [Erik]

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  • 1.3. Programming in Sage

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  • 2. Calculus

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/!\ End of edit conflict

  • 2.3. Multivariate Calculus
  • 2.4. Taylor Series and Infinite Sums
  • 2.5. Differential Equations
  • 3. Linear Algebra

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/!\ End of edit conflict

  • 3.2. Vector Spaces [Sourav]
  • 4. Abstract Algebra
    • 4.2. Rings and Fields [Erik]
  • 5. Number Theory

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/!\ End of edit conflict

  • 5.3. Cryptography [Dan]
  • 5.4. Elliptic Curves [Aly]
  • 5.6. Automorphic Forms

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/!\ End of edit conflict

  • 5.8. Modular Forms
  • 6. Combinatorics
    • 6.1. Counting
    • 6.2. Graph Theory
  • 7. Geometry
  • 8. Statistics
    • 8.1. Statistical Methods [Erik]
    • 8.2. Probability [Erik]
    • 8.3. Finance

days13/projects/sagenewbie (last edited 2011-01-28 07:12:10 by Eviatar)