{"id":36888,"date":"2021-03-22T13:42:32","date_gmt":"2021-03-22T10:42:32","guid":{"rendered":"https:\/\/researcherstore.com\/?post_type=courses&#038;p=36888"},"modified":"2021-06-13T11:34:07","modified_gmt":"2021-06-13T08:34:07","slug":"computational-mathematics","status":"publish","type":"courses","link":"https:\/\/researcherstore.com\/courses\/computational-mathematics\/","title":{"rendered":"Computational Mathematics with SageMath from begging to advance in 2020"},"content":{"rendered":"<p><iframe loading=\"lazy\" title=\"Computational Mathematics with SageMath from begging to advance in 2020\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/Fp4CF1ivELI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<h4 class=\"yui-wk-div\">Computational Mathematics with SageMath.<\/h4>\n<p class=\"yui-wk-div\">Computational Mathematics with SageMath: This eight-week course aims to use SageMath, a Python-based free and open-source computer algebra system (CAS) to explore concepts in Calculus, Applied Linear Algebra, and Numerical Methods.<\/p>\n<div><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-36948\" src=\"https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png\" alt=\"\" width=\"800\" height=\"400\" title=\"\" srcset=\"https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png 800w, https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom-600x300.png 600w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/div>\n<div><\/div>\n<div class=\"yui-wk-div\">This Computational Mathematics with SageMath course will begin with the introduction of basic Python programming language in the first two weeks. Next, we shall provide a quick introduction to SageMath software along with plotting 2D and 3D objects. The main focus will be on using SageMath to explore topics in Calculus, Applied Linear Algebra, and Numerical Method along with several applications.<\/div>\n<div><\/div>\n<div>\n<h3 class=\"courseTitle\">Computational Mathematics with SageMath Course layout<\/h3>\n<div class=\"previewContent marginTop20\">\n<div><b>Week 1:<\/b><\/div>\n<div>0. Installation\u00a0 of Python<\/div>\n<div>1. Getting Started with\u00a0 Python<\/div>\n<div>2. Python as an advanced Calculator<\/div>\n<div>3. Lists in Python<\/div>\n<div>4. Tuples sets and dictionary in Python<\/div>\n<div>5. Functions and Branching<\/div>\n<div>6. For loop in Python<\/div>\n<div>7.\u00a0 While loop in Python<\/div>\n<div><b>Week 2:<\/b><\/div>\n<div>8. Creating Modules and Introduction to NumPy<\/div>\n<div>9. Use of NumPy module<\/div>\n<div>10. Python Graphics using matplotlib<\/div>\n<div>11. Use of SciPy and SymPy in Python<\/div>\n<div>12. Classes in Python<\/div>\n<div>13. Classes in Python<\/div>\n<div><b>Week 3:<\/b><\/div>\n<div>00. Introduction and Installation of SageMath<\/div>\n<div>14. Exploring integers in SageMath<\/div>\n<div>15. Solving Equations in SageMath<\/div>\n<div>16. 2d Plotting with SageMath<\/div>\n<div>17. 3d Plotting with SageMath<\/div>\n<div>18. Calculus of one variable with SageMath Part 1<\/div>\n<div>19.\u00a0 Calculus of one variable with SageMath Part 2<\/div>\n<div><b>Week 4:<\/b><\/div>\n<div>20. Applications of derivatives<\/div>\n<div>21. Integrals in SageMath<\/div>\n<div>22. Applications of Integrals<\/div>\n<div>23. Partial Derivatives and gradients, jacobians<\/div>\n<div>25. Local maximum-minimum<\/div>\n<div>26. Application of local maximum and minimum<\/div>\n<div>27 Applications to least-square problems<\/div>\n<div><b>Week 5:<\/b><\/div>\n<div>28. Lagrange Multipliers<\/div>\n<div>29. Working with vectors in SageMath<\/div>\n<div>39. RREF and Solving system of Linear Equations<\/div>\n<div>31. Vector Spaces in SageMath<\/div>\n<div>32. Vector Spaces in SageMath (cont..)<\/div>\n<div>33. Linear Transformations with SageMath<\/div>\n<div>34. Linear Transformations with SageMath (cont..)<\/div>\n<div><b>Week 6:<\/b><\/div>\n<div>35. Eigenvalues and Eigenvectors with SageMath<\/div>\n<div>36. Eigenvalues and Eigenvectors with SageMath (cont..)<\/div>\n<div>37. Inner Product Spaces in SageMath<\/div>\n<div>38. Inner Product Spaces in SageMath (cont..)<\/div>\n<div>39. Gram-Schmidt Process and QR-factorization<\/div>\n<div>40. Singular Value Decomposition (SVD)<\/div>\n<div><b>Week 7:<\/b><\/div>\n<div>41 Applications of SVD &amp;amp; Least Square Methods<\/div>\n<div>42. Applications of linear algebra with SageMath<\/div>\n<div>43. Numerical Solution of algebraic equations<\/div>\n<div>44. Numerical Solutions of system linear equations<\/div>\n<div>45. Interpolations<\/div>\n<div>46. Numerical Integration<\/div>\n<div>47. Numerical Integration (Cont..)<\/div>\n<div><b>Week 8:<\/b><\/div>\n<div>48. Numerical Eigenvalues<\/div>\n<div>49. Solving ODE with SageMath<\/div>\n<div>50. Initial Value ODE with SageMath<\/div>\n<div>51. Initial Value ODE with SageMath (cont..)<\/div>\n<div>52. Solving system of ODE<\/div>\n<div>53. Solving ODE with Laplace Transforms<\/div>\n<div>54.\u00a0 Applications of ODE with SageMath<\/div>\n<div>55. What next with SageMath?<\/div>\n<\/div>\n<\/div>\n<div><\/div>\n<div><b>Computational Mathematics with <a href=\"https:\/\/en.wikipedia.org\/wiki\/SageMath\" target=\"_blank\" rel=\"noopener\">SageMath<\/a> INTENDED <a href=\"https:\/\/researcherstore.com\/courses\/computational-mathematics-with-sagemath\/\">AUDIENCE<\/a>: <\/b>UG and PG students of Mathematics and BE Students, Teachers teaching in Degree colleges.<\/div>\n<div><\/div>\n<div><\/div>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Computational Mathematics with SageMath. Computational Mathematics with SageMath: This eight-week course aims to use SageMath, a Python-based free and open-source computer algebra system (CAS) to explore concepts in Calculus, Applied Linear Algebra, and Numerical Methods. This Computational Mathematics with SageMath course will begin with the introduction of basic Python programming language in the first two [&hellip;]<\/p>\n","protected":false},"author":38,"featured_media":36948,"template":"","course-category":[193],"course-tag":[],"qubely_featured_image_url":{"full":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",800,400,false],"landscape":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",800,400,false],"portraits":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",540,270,false],"thumbnail":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",150,75,false],"medium":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",300,150,false],"medium_large":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",768,384,false],"large":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",800,400,false],"1536x1536":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",800,400,false],"2048x2048":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",800,400,false],"qubely_landscape":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",800,400,false],"qubely_portrait":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",540,270,false],"qubely_thumbnail":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom.png",140,70,false],"woocommerce_thumbnail":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom-450x338.png",450,338,true],"woocommerce_single":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom-600x300.png",600,300,true],"woocommerce_gallery_thumbnail":["https:\/\/researcherstore.com\/wp-content\/uploads\/2021\/03\/CoAviUnx_400x400-Custom-100x100.png",100,100,true]},"qubely_author":{"display_name":"ResearcherStore","author_link":"https:\/\/researcherstore.com\/user\/abuqamar\/"},"qubely_comment":0,"qubely_category":" <a href=\"https:\/\/researcherstore.com\/course-category\/computer\/?tutor-course-filter-category=193\" rel=\"tag\">F-Computer Engineering<\/a>","qubely_excerpt":"Computational Mathematics with SageMath. Computational Mathematics with SageMath: This eight-week course aims to use SageMath, a Python-based free and open-source computer algebra system (CAS) to explore concepts in Calculus, Applied Linear Algebra, and Numerical Methods. This Computational Mathematics with SageMath course will begin with the introduction of basic Python programming language in the first two&hellip;","_links":{"self":[{"href":"https:\/\/researcherstore.com\/wp-json\/wp\/v2\/courses\/36888"}],"collection":[{"href":"https:\/\/researcherstore.com\/wp-json\/wp\/v2\/courses"}],"about":[{"href":"https:\/\/researcherstore.com\/wp-json\/wp\/v2\/types\/courses"}],"author":[{"embeddable":true,"href":"https:\/\/researcherstore.com\/wp-json\/wp\/v2\/users\/38"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/researcherstore.com\/wp-json\/wp\/v2\/media\/36948"}],"wp:attachment":[{"href":"https:\/\/researcherstore.com\/wp-json\/wp\/v2\/media?parent=36888"}],"wp:term":[{"taxonomy":"course-category","embeddable":true,"href":"https:\/\/researcherstore.com\/wp-json\/wp\/v2\/course-category?post=36888"},{"taxonomy":"course-tag","embeddable":true,"href":"https:\/\/researcherstore.com\/wp-json\/wp\/v2\/course-tag?post=36888"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}