Readings · Lecture Notes
MIT OpenCourseWare
Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations
Art: Frederick Collins, Collins steam engine drawing, 1918 · Public domain
- Instructor
- Prof. Rohan Abeyaratne
- Term
- Spring 2007
- Level
- Graduate
- What's inside
- 1 reading · 8 other files · 2 web pages
- Materials open
- MIT OCW
About this course
Source: MIT OpenCourseWare 2.035 Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations, Spring 2007, Prof. Rohan Abeyaratne — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Has MIT solutions
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- A lecture sequence of 7 items is confirmed. It stays as organized materials rather than a full course order.
Not included here
1 item from the source could not be safely included:
- MIT's page format for this item wasn't recognized clearly enough to place it safely.
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Exams
8 files
Course outline
Readings · Lecture Notes
Lecture 2: Scalar product, length of vector, distance between vectors, angle between vectors, orthonormal basis
Readings · Lecture Notes
Lecture 3: Linear transformations, invariant subspace, eigenvalue problem
Readings · Lecture Notes
Lecture 4: Null space, singular/non-singular linear transformations, inverse, components of a linear transformation
Readings · Lecture Notes
Lecture 5: Components of a linear transformation, components in different bases, scalar invariants, cartesian tensors, symmetric tensors, skew-symmetric tensors
Readings · Lecture Notes
Lecture 6: Eigenvalues of a symmetric tensor, principal basis, positive-definite tensor, orthogonal tensor, proper/improper, orthogonal tensor
Readings · Lecture Notes
Lecture 7: Tensor product of 2 vectors, polar decomposition of a non-singular tensor
MIT OpenCourseWare, Prof. Rohan Abeyaratne, 2.035 Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations, Spring 2007.
License: CC BY-NC-SA 4.0 · Edition: Spring 2007 · Open the original course on OCW ↗
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