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= Sage for Newbies = = Sage Primers =
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== Major Goals : Sage Primers ==
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=== Basics === ---- /!\ '''Edit conflict - other version:''' ----
== Done / In Progress ==
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 * Primer Guidelines [[attachment:primer_template\example.sws]] ---- /!\ '''Edit conflict - your version:''' ----
== Done / In Progress ==
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 * Primer Design Principles [[attachment:primer_design_principles.rtf]] ---- /!\ '''End of edit conflict''' ----
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 * SAGE as a Smart Calculator (target: Freshmen) [[attachment:Sage_as_a_Smart_Calculator_0.4.sws]]     * 0. Front Matter
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=== Calculus ===     * 1. Basics
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 * Differential Calculus (target: Freshmen) [[attachment:Differential_Calculus_Primer_0.3.sws]]           * 1.1. Primer Template: An Example [[attachment:primer_template\example.sws]] [[attachment:primer_design_principles.rtf]]
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 * Integral Calculus (target: Freshmen)           * 1.2. Sage as a Smart Calculator [[attachment:sage_as_a_smart_calculator.sws]]
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=== Number Theory ===

 * Quadratic Forms (target: Arizona Winter School Participants) [[attachment: quadratic_forms.sws]]

 * Number Theory via Diophantine Equations (target: Elementary Number Theory students)

 * Number Theory via Primes (target: Elementary Number Theory students) [[attachment: number_theory.primes_0.1.sws]]

=== Abstract Algebra ===

 * Group Theory by Robert Beezer (target: Undergraduate Math Majors) [[attachment:group_theory.sws]]		           * 1.4. Sage Devel Basics [Erik, Aly]
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== Target ---- /!\ '''Edit conflict - other version:''' ----
          * 1.3. Sage Devel Basics [Erik, Aly]
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1) Accessible to high school math teachers and undergraduate mathematics majors.
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2) Anticipated user desires
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a. Content specific modules ---- /!\ '''Edit conflict - your version:''' ----
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i. Quadratic Forms ---- /!\ '''End of edit conflict''' ----
    * 2. Calculus
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ii. Group theory           * 2.1. Differential Calculus [[attachment:differential_calculus.sws]]
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iii. Abstract algebra           * 2.2. Integral Calculus [Sourav]
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iv. Calculus     * 3. Linear Algebra
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v. Number theory           * 3.1. Matrix Algebra [Sourav]
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vi. High school algebra / trigonometry / precalculus
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vii. Probability ---- /!\ '''Edit conflict - other version:''' ----
          * 2.2. Integral Calculus [Sourav]
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viii. Statistics     * 3. Linear Algebra
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b. Plotting 2 and 3 dimensions           * 3.1. Matrix Algebra [Sourav]
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c. Sage math functions (sage as calculator), sage constants
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d. Generate Classroom examples ---- /!\ '''Edit conflict - your version:''' ----
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i. show (), latex() ---- /!\ '''End of edit conflict''' ----
    * 4. Abstract Algebra
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ii. matplotlab           * 4.1. Group Theory [[attachment:group_theory.txt]] (by Robert Beezer)
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3) Demonstrate SAGE functionality:     * 5. Number Theory
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a. Primes           * 5.1. Elementary Number Theory I [[attachment: number_theory.primes_0.1.sws]]
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b. Random numbers
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c. Plotting ---- /!\ '''Edit conflict - other version:''' ----
          * 5.2. Elementary Number Theory II [Erik]
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d. Interact           * 5.5. Quadratic Forms [[attachment: quadratic_forms.sws]]
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e. Sage data types           * 5.7. Quaternion Algebra [Sourav]
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4) Programming ---- /!\ '''Edit conflict - your version:''' ----
          * 5.2. Elementary Number Theory II [Erik]
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a. Types, casting, relevant Sage data types           * 5.5. Quadratic Forms [[attachment: quadratic_forms.sws]]
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b. Lists, tuples           * 5.7. Quaternion Algebra [Sourav]
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c. Control operators (if, then, else, logical operators, in, srange()) ---- /!\ '''End of edit conflict''' ----
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d. Loops     * 9. About this document ...
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i. For, in, srange(), range()
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e. Functions
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f. Recursion == To Do ==
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5) Topics     * 1. Basics
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a. Primes and factorization
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i. Given a random number, is it a prime? ---- /!\ '''Edit conflict - other version:''' ----
          * 1.3. Programming in Sage [Erik]
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1. Modular division           * 1.5. 2D and 3D Plotting in Sage [Erik]
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a. random()           * 1.6. Interact in Sage [Erik]
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b. Factor() ---- /!\ '''Edit conflict - your version:''' ----
          * 1.3. Programming in Sage
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2. Euclidean algorithm ---- /!\ '''End of edit conflict''' ----
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a. Recursion     * 2. Calculus
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b. gcd()
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3. primality testing ---- /!\ '''Edit conflict - other version:''' ----
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a. for loops ---- /!\ '''Edit conflict - your version:''' ----
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b. range() ---- /!\ '''End of edit conflict''' ----
          * 2.3. Multivariate Calculus
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c. is_prime()           * 2.4. Taylor Series and Infinite Sums
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ii. How many primes are there?           * 2.5. Differential Equations
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1. prime_pi()     * 3. Linear Algebra
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2. plotting example
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iii. Where are the primes? ---- /!\ '''Edit conflict - other version:''' ----
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1. Density of primes ---- /!\ '''Edit conflict - your version:''' ----
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2. primes() ---- /!\ '''End of edit conflict''' ----
          * 3.2. Vector Spaces [Sourav]
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3. Arithemtic sequences of primes     * 4. Abstract Algebra
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b. Diophantine equations           * 4.2. Rings and Fields [Erik]
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i. Linear Diophantine equation     * 5. Number Theory
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1. extended euclidean algorithm
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2. recursion vs iteration ---- /!\ '''Edit conflict - other version:''' ----
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ii. diagonal quadratic forms; sums of squares (ENT p. 25) ---- /!\ '''Edit conflict - your version:''' ----
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1. Pythagorean triples and generating them ---- /!\ '''End of edit conflict''' ----
          * 5.3. Cryptography [Dan]
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2. Graphing the Pythagorean triples           * 5.4. Elliptic Curves [Aly]
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3. Enumerating all triples using linear intersections           * 5.6. Automorphic Forms
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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:''' ----

---- /!\ '''Edit conflict - your version:''' ----

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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

/!\ End of edit conflict

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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)