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| Describe days13/projects/sagenewbiew here. | = Sage Primers = |
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| LINKS: | <<TableOfContents>> |
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| http://docutils.sourceforge.net/rst.html | == Done / In Progress == |
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| Sage Tutorial | * 0. Front Matter |
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| Goals: | * 1. Basics |
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| 1) Accessible to high school math teachers and undergraduate mathematics majors. | * 1.1. Primer Template: An Example [[attachment:primer_template\example.sws]] [[attachment:primer_design_principles.rtf]] |
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| 2) Anticipated user desires | * 1.2. Sage as a Smart Calculator [[attachment:sage_as_a_smart_calculator.sws]] |
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| a. Content specific modules | * 1.4. Sage Devel Basics [Erik, Aly] |
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| i. Quadratic Forms | * 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 | * 4. Abstract Algebra |
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| vii. Probability | * 4.1. Group Theory [[attachment:group_theory.txt]] (by Robert Beezer) |
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| viii. Statistics | * 5. Number Theory |
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| b. Plotting 2 and 3 dimensions | * 5.1. Elementary Number Theory I [[attachment: number_theory.primes_0.1.sws]] |
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| c. Sage math functions (sage as calculator), sage constants | * 5.2. Elementary Number Theory II [Erik] |
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| d. Generate Classroom examples | * 5.5. Quadratic Forms [[attachment: quadratic_forms.sws]] |
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| i. show (), latex() | * 5.7. Quaternion Algebra [Sourav] |
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| ii. matplotlab | * 9. About this document ... |
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| 3) Demonstrate SAGE functionality: | |
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| a. Primes | |
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| b. Random numbers | == To Do == |
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| c. Plotting | * 1. Basics |
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| d. Interact | * 1.3. Programming in Sage |
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| e. Sage data types | * 2. Calculus |
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| f. Email(?) | * 2.3. Multivariate Calculus |
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| 4) Programming | * 2.4. Taylor Series and Infinite Sums |
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| a. Types, casting, relevant Sage data types | * 2.5. Differential Equations |
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| b. Lists, tuples | * 3. Linear Algebra |
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| c. Control operators (if, then, else, logical operators, in, srange()) | * 3.2. Vector Spaces [Sourav] |
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| d. Loops | * 4. Abstract Algebra |
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| i. For, in, srange(), range() | * 4.2. Rings and Fields [Erik] |
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| e. Functions | * 5. Number Theory |
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| f. Recursion | * 5.3. Cryptography [Dan] |
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| 5) Topics | * 5.4. Elliptic Curves [Aly] |
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| a. Primes and factorization | * 5.6. Automorphic Forms |
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| i. Given a random number, is it a prime? | * 5.8. Modular Forms |
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| 1. Modular division | * 6. Combinatorics |
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| a. random() | * 6.1. Counting |
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| b. Factor() | * 6.2. Graph Theory |
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| 2. Euclidean algorithm | * 7. Geometry |
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| a. Recursion | * 8. Statistics |
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| b. gcd() | * 8.1. Statistical Methods [Erik] |
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| 3. primality testing | * 8.2. Probability [Erik] |
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| a. for loops b. range() c. is_prime() ii. How many primes are there? 1. prime_pi() 2. plotting example iii. Where are the primes? 1. Density of primes 2. primes() 3. Arithemtic sequences of primes b. Diophantine equations i. Linear Diophantine equation 1. extended euclidean algorithm 2. recursion vs iteration ii. diagonal quadratic forms; sums of squares (ENT p. 25) 1. Pythagorean triples and generating them 2. Graphing the Pythagorean triples 3. Enumerating all triples using linear intersections 4. Elliptic curves and congruent numbers (chapter 6, stein) iii. Pell’s Equation (?) |
* 8.3. Finance |
Sage Primers
Contents
Done / In Progress
- 0. Front Matter
- 1. Basics
1.1. Primer Template: An Example primer_template\example.sws primer_design_principles.rtf
1.2. Sage as a Smart Calculator sage_as_a_smart_calculator.sws
- 1.4. Sage Devel Basics [Erik, Aly]
- 2. Calculus
2.1. Differential Calculus differential_calculus.sws
- 2.2. Integral Calculus [Sourav]
- 3. Linear Algebra
- 3.1. Matrix Algebra [Sourav]
- 4. Abstract Algebra
4.1. Group Theory group_theory.txt (by Robert Beezer)
- 5. Number Theory
5.1. Elementary Number Theory I number_theory.primes_0.1.sws
- 5.2. Elementary Number Theory II [Erik]
5.5. Quadratic Forms quadratic_forms.sws
- 5.7. Quaternion Algebra [Sourav]
- 9. About this document ...
To Do
- 1. Basics
- 1.3. Programming in Sage
- 2. Calculus
- 2.3. Multivariate Calculus
- 2.4. Taylor Series and Infinite Sums
- 2.5. Differential Equations
- 3. Linear Algebra
- 3.2. Vector Spaces [Sourav]
- 4. Abstract Algebra
- 4.2. Rings and Fields [Erik]
- 5. Number Theory
- 5.3. Cryptography [Dan]
- 5.4. Elliptic Curves [Aly]
- 5.6. Automorphic Forms
- 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