1886
Comment:
|
2572
|
Deletions are marked like this. | Additions are marked like this. |
Line 1: | Line 1: |
Describe days13/projects/sagenewbiew here. | = Sage Primers = |
Line 3: | Line 3: |
LINKS: | <<TableOfContents>> |
Line 5: | Line 5: |
http://docutils.sourceforge.net/rst.html | '''Todo:''' Polish up these primers and put them in the [[http://www.sagemath.org/doc/constructions/|Sage Constructions]] document. |
Line 7: | Line 7: |
Sage Tutorial | == Done / In Progress == |
Line 9: | Line 9: |
Goals: | * 0. Sage Primer Design Principles [[attachment:Sage Primer Design Principles.pdf]] [[attachment:primer_design_principles.rtf]] |
Line 11: | Line 11: |
1) Accessible to high school math teachers and undergraduate mathematics majors. | * 1. Basics |
Line 13: | Line 13: |
2) Anticipated user desires | * 1.1. Primer Template: An Example [[attachment:primer_template_example.sws]] |
Line 15: | Line 15: |
a. Content specific modules | * 1.2. Sage as a Smart Calculator [[attachment:basics.smart_calculator_0.5.sws]] |
Line 17: | Line 17: |
i. Quadratic Forms | * 1.3. Basic 2D plotting with Sage [[attachment:Ploting_with_Sage_v1.0.1.sws]] by Jose Guzman |
Line 19: | Line 19: |
ii. Group theory | * 1.4. Solving basic equations with Sage [[attachment:Ball_motion.sws]] by Jose Guzman |
Line 21: | Line 21: |
iii. Abstract algebra | * 1.5. Sage Devel Basics [Erik, Aly] [[attachment:dev_for_newbies.html]]-this needs to be restified., [[attachment: development_for_newbies.sws]] |
Line 23: | Line 23: |
iv. Calculus | * 2. Calculus |
Line 25: | Line 25: |
v. Number theory | * 2.1. Limits Calculus [[attachment:Analysis_tutorial_Limits_v1.0.2.sws]] by Jose Guzman |
Line 27: | Line 27: |
vi. High school algebra / trigonometry / precalculus | * 2.2. Differential Calculus [[attachment:calculus.differential_calculus_1.0.sws]] |
Line 29: | Line 29: |
vii. Probability | * 2.3. Integral Calculus [Sourav] |
Line 31: | Line 31: |
viii. Statistics | * 3. Linear Algebra |
Line 33: | Line 33: |
b. Plotting 2 and 3 dimensions | * 3.1. Matrix Algebra [Sourav] |
Line 35: | Line 35: |
c. Sage math functions (sage as calculator), sage constants | * 4. Abstract Algebra |
Line 37: | Line 37: |
d. Generate Classroom examples | * 4.1. Group Theory [[attachment:group_theory.sws]] (by Robert Beezer) |
Line 39: | Line 39: |
i. show (), latex() | * 5. Number Theory |
Line 41: | Line 41: |
ii. matplotlab | * 5.1. Elementary Number Theory [Erik] [[attachment:number_theory.primes_diophantine_equations.1.0.sws]] |
Line 43: | Line 43: |
3) Demonstrate SAGE functionality: | * 5.5. Quadratic Forms [[attachment:quadratic_forms.sws]] |
Line 45: | Line 45: |
a. Primes | * 5.7. Quaternion Algebra [Sourav] |
Line 47: | Line 47: |
b. Random numbers | * 9. About this document ... |
Line 49: | Line 49: |
c. Plotting | |
Line 51: | Line 50: |
d. Interact | |
Line 53: | Line 51: |
e. Sage data types | == To Do == |
Line 55: | Line 53: |
f. Email(?) | * 1. Basics |
Line 57: | Line 55: |
4) Programming | * 1.3. Programming in Sage |
Line 59: | Line 57: |
a. Types, casting, relevant Sage data types | * 1.5. 2D and 3D Plotting in Sage [JoseGuzman] |
Line 61: | Line 59: |
b. Lists, tuples | * 1.6. Interact in Sage [Erik] |
Line 63: | Line 61: |
c. Control operators (if, then, else, logical operators, in, srange()) | * 2. Calculus |
Line 65: | Line 63: |
d. Loops | * 2.3. Multivariate Calculus |
Line 67: | Line 65: |
i. For, in, srange(), range() | * 2.4. Taylor Series and Infinite Sums |
Line 69: | Line 67: |
e. Functions | * 2.5. Differential Equations |
Line 71: | Line 69: |
f. Recursion | * 3. Linear Algebra |
Line 73: | Line 71: |
5) Topics | * 3.2. Vector Spaces [Sourav] |
Line 75: | Line 73: |
a. Primes and factorization | * 4. Abstract Algebra |
Line 77: | Line 75: |
i. Given a random number, is it a prime? | * 4.2. Rings and Fields [Erik] |
Line 79: | Line 77: |
1. Modular division | * 5. Number Theory |
Line 81: | Line 79: |
a. random() | * 5.3. Cryptography [Dan] |
Line 83: | Line 81: |
b. Factor() | * 5.4. Elliptic Curves [Aly] |
Line 85: | Line 83: |
2. Euclidean algorithm | * 5.6. Automorphic Forms |
Line 87: | Line 85: |
a. Recursion | * 5.8. Modular Forms |
Line 89: | Line 87: |
b. gcd() | * 6. Combinatorics |
Line 91: | Line 89: |
3. primality testing | * 6.1. Counting |
Line 93: | Line 91: |
a. for loops | * 6.2. Graph Theory |
Line 95: | Line 93: |
b. range() | * 7. Geometry |
Line 97: | Line 95: |
c. is_prime() | * 8. Statistics |
Line 99: | Line 97: |
ii. How many primes are there? | * 8.1. Statistical Methods [Erik] |
Line 101: | Line 99: |
1. prime_pi() | * 8.2. Probability [Erik] |
Line 103: | Line 101: |
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
Todo: Polish up these primers and put them in the Sage Constructions document.
Done / In Progress
0. Sage Primer Design Principles Sage Primer Design Principles.pdf primer_design_principles.rtf
- 1. Basics
1.1. Primer Template: An Example primer_template_example.sws
1.2. Sage as a Smart Calculator basics.smart_calculator_0.5.sws
1.3. Basic 2D plotting with Sage Ploting_with_Sage_v1.0.1.sws by Jose Guzman
1.4. Solving basic equations with Sage Ball_motion.sws by Jose Guzman
1.5. Sage Devel Basics [Erik, Aly] dev_for_newbies.html-this needs to be restified., development_for_newbies.sws
- 2. Calculus
2.1. Limits Calculus Analysis_tutorial_Limits_v1.0.2.sws by Jose Guzman
2.2. Differential Calculus calculus.differential_calculus_1.0.sws
- 2.3. Integral Calculus [Sourav]
- 3. Linear Algebra
- 3.1. Matrix Algebra [Sourav]
- 4. Abstract Algebra
4.1. Group Theory group_theory.sws (by Robert Beezer)
- 5. Number Theory
5.1. Elementary Number Theory [Erik] number_theory.primes_diophantine_equations.1.0.sws
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
1.5. 2D and 3D Plotting in Sage [JoseGuzman]
- 1.6. Interact in Sage [Erik]
- 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