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The **[course_title]** will lay down basic concepts and techniques of linear algebra, and provide an appreciation of the wide application of this discipline within the scientific field. The course will provide insight into how linear algebra theorems and results, sometimes quite abstract, impinge on everyday life. This course shows how all the solutions satisfying every one of a given finite list of linear equations can be found and what the structure of that set of solutions is.

**Assessment**

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

**Certification**

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Course Credit: Open Culture

### Course Curriculum

Module: 01 | |||

WildLinAlg1: Introduction to Linear Algebra | 00:43:00 | ||

WildLinAlg2: Geometry with vectors | 00:44:00 | ||

WildLinAlg3: Center of mass and barycentric coordinates | 00:48:00 | ||

WildLinAlg4: Area and volume | 00:56:00 | ||

WildLinAlg5:Change of coordinates and determinants | 00:50:00 | ||

WildLinAlg6: Applications of 2×2 matrices | 00:44:00 | ||

WildLinAlg7: More applications of 2×2 matrices | 00:55:00 | ||

WildLinAlg8: Inverting 3×3 matrices | 00:46:00 | ||

Module: 02 | |||

WildLinAlg9: Three dimensional affine geometry | 00:43:00 | ||

WildLinAlg10: Equations of lines and planes in 3D | 01:09:00 | ||

WildLinAlg11: Applications of 3×3 matrices | 00:54:00 | ||

WildLinAlg12: Generalized dilations and eigenvectors | 00:55:00 | ||

Wild Linear Algebra 13: Solving a system of linear equations | 00:49:00 | ||

WildLinAlg14: More row reduction with parameters | 00:49:00 | ||

WildLinAlg15: Applications of row reduction (Gaussian elimination) | 00:41:00 | ||

WildLinAlg16: Applications of row reduction II | 00:57:00 | ||

Module: 03 | |||

WildLinAlg17: Rank and Nullity of a Linear Transformation | 01:01:00 | ||

Wild Linear Algebra 18: The geometry of a system of linear equations | 01:09:00 | ||

Wild Linear Algebra 19: Linear algebra with polynomials | 00:46:00 | ||

Wild Linear Algebra 20: Bases of polynomial spaces | 01:00:00 | ||

Wild Linear Algebra 21: More bases of polynomial spaces | 00:46:00 | ||

Wild Linear Algebra 22: Polynomials and sequence spaces | 01:01:00 | ||

Wild Linear Algebra 23: Stirling numbers and Pascal triangles | 00:59:00 | ||

Assessment | |||

Submit Your Assignment | 00:00:00 | ||

Certification | 00:00:00 |

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