Periodic Functions [EMNH]
MAT216 Playlist
Linear Algebra and Fourier Analysis
![System of Linear Equations [PSD]](https://img.youtube.com/vi/9KC0RFD47_w/mqdefault.jpg)
System of Linear Equations [PSD]
![Row-Echelon Form of Matrix [PSD]](https://img.youtube.com/vi/Nl-H8yKZroQ/mqdefault.jpg)
Row-Echelon Form of Matrix [PSD]
![Gaussian Elimination Method (Row Echelon Form) [PSD]](https://img.youtube.com/vi/WkyEnVNv1Xs/mqdefault.jpg)
Gaussian Elimination Method (Row Echelon Form) [PSD]
![Gauss-Jordan Method (Reduced Row Echelon Form) [PSD]](https://img.youtube.com/vi/9aLtv8zVhyA/mqdefault.jpg)
Gauss-Jordan Method (Reduced Row Echelon Form) [PSD]
![Consistency Analysis, Row & Column Picture, Application of Linear System [PSD]](https://img.youtube.com/vi/VI9g9zY8PBE/mqdefault.jpg)
Consistency Analysis, Row & Column Picture, Application of Linear System [PSD]
![System Solve using Inverse Matrix, Elementary Matrix [PSD]](https://img.youtube.com/vi/sQawdmd-i7M/mqdefault.jpg)
System Solve using Inverse Matrix, Elementary Matrix [PSD]
![Gaussian Elimination - Quick Recap [EMNH]](https://img.youtube.com/vi/u0nLk1qgvZw/mqdefault.jpg)
Gaussian Elimination - Quick Recap [EMNH]
![Consistency Analysis, Application of Linear System, Intro to Inverse Matrix [RSQT]](https://img.youtube.com/vi/9_yDZnRSGAE/mqdefault.jpg)
Consistency Analysis, Application of Linear System, Intro to Inverse Matrix [RSQT]
![Inverse Matrix, Elementary Matrix [RSQT]](https://img.youtube.com/vi/JN5oMEnTFwk/mqdefault.jpg)
Inverse Matrix, Elementary Matrix [RSQT]
![Course Introduction [AAI]](https://img.youtube.com/vi/HpGPUorlxoc/mqdefault.jpg)
Course Introduction [AAI]
![Revisiting Matrices [AAI]](https://img.youtube.com/vi/9_57hk8SNic/mqdefault.jpg)
Revisiting Matrices [AAI]
![Introduction to Systems of Linear Equations [AAI]](https://img.youtube.com/vi/SW8OT2r_kHo/mqdefault.jpg)
Introduction to Systems of Linear Equations [AAI]
![System of Linear Equations as Linear Combinations of Vectors [AAI]](https://img.youtube.com/vi/7Kh5bpARZiI/mqdefault.jpg)
System of Linear Equations as Linear Combinations of Vectors [AAI]
![Solvability and Number of Solutions [AAI]](https://img.youtube.com/vi/qdQUOoL0RcE/mqdefault.jpg)
Solvability and Number of Solutions [AAI]
![Linear Combination, Independence and Dependence [PSD]](https://img.youtube.com/vi/IHxL97zRBX0/mqdefault.jpg)
Linear Combination, Independence and Dependence [PSD]
![Linear Combination, Linear Dependence, Linear Span - Part 1 [RSQT]](https://img.youtube.com/vi/7T-93F1viqo/mqdefault.jpg)
Linear Combination, Linear Dependence, Linear Span - Part 1 [RSQT]
![Linear Combination, Linear Dependence, Linear Span - Part 2 [RSQT]](https://img.youtube.com/vi/fhvL-Xv5taw/mqdefault.jpg)
Linear Combination, Linear Dependence, Linear Span - Part 2 [RSQT]
![Spanning Sets, Linear Independence and Dependence [MHM]](https://img.youtube.com/vi/BWLHhMZUMvs/mqdefault.jpg)
Spanning Sets, Linear Independence and Dependence [MHM]
![Revisiting Vectors [AAI]](https://img.youtube.com/vi/OQp6pWqFgs4/mqdefault.jpg)
Revisiting Vectors [AAI]
![Intro to Linear Combination [AAI]](https://img.youtube.com/vi/rceP1PYb19E/mqdefault.jpg)
Intro to Linear Combination [AAI]
![Vectors of R^n [AAI]](https://img.youtube.com/vi/9ZcSLGiRhic/mqdefault.jpg)
Vectors of R^n [AAI]
![Introduction to Linear Combination (Part 2) [AAI]](https://img.youtube.com/vi/voFQTjgYRic/mqdefault.jpg)
Introduction to Linear Combination (Part 2) [AAI]
![Binary Operation [PSD]](https://img.youtube.com/vi/Z7UQko_tMTU/mqdefault.jpg)
Binary Operation [PSD]
![Group and Field [PSD]](https://img.youtube.com/vi/f7-16vP2wHU/mqdefault.jpg)
Group and Field [PSD]
![General Vector Spaces - Part 1 [PSD]](https://img.youtube.com/vi/NRoXkAwlHEE/mqdefault.jpg)
General Vector Spaces - Part 1 [PSD]
![General Vector Spaces - Part 2 (Advanced) [PSD]](https://img.youtube.com/vi/t79tMs_1Dys/mqdefault.jpg)
General Vector Spaces - Part 2 (Advanced) [PSD]
![Linear Subspaces - Part 1 [PSD]](https://img.youtube.com/vi/TRYBW0Wixrc/mqdefault.jpg)
Linear Subspaces - Part 1 [PSD]
![Linear Subspaces - Part 2 (Advanced) [PSD]](https://img.youtube.com/vi/gQify4iZ6s4/mqdefault.jpg)
Linear Subspaces - Part 2 (Advanced) [PSD]
![Linear Span, Basis and Dimension - Part 1 [PSD]](https://img.youtube.com/vi/YzyeS44JIB0/mqdefault.jpg)
Linear Span, Basis and Dimension - Part 1 [PSD]
![Basis and Dimension - Part 2 (Advanced) [PSD]](https://img.youtube.com/vi/cohrURMoWDY/mqdefault.jpg)
Basis and Dimension - Part 2 (Advanced) [PSD]
![Four Fundamental Subspaces (Row, Column, Null, Left Null Space) [PSD]](https://img.youtube.com/vi/s-o2Iza3p_U/mqdefault.jpg)
Four Fundamental Subspaces (Row, Column, Null, Left Null Space) [PSD]
![Span and Basis - Quick Recap [EMNH]](https://img.youtube.com/vi/V-LUIAZMycI/mqdefault.jpg)
Span and Basis - Quick Recap [EMNH]
![Null Space, Row Space and Column Space - Quick Recap [EMNH]](https://img.youtube.com/vi/z-aW8cYJjRM/mqdefault.jpg)
Null Space, Row Space and Column Space - Quick Recap [EMNH]
![Examples for Verifying a Subspace - Part 1 [EMNH]](https://img.youtube.com/vi/KaPFbhFzJOA/mqdefault.jpg)
Examples for Verifying a Subspace - Part 1 [EMNH]
![More Examples on Subspace and Span of R^4 - Part 2 [EMNH]](https://img.youtube.com/vi/PC99LnZhQOs/mqdefault.jpg)
More Examples on Subspace and Span of R^4 - Part 2 [EMNH]
![Row Space, Column Space and Null Space [EMNH]](https://img.youtube.com/vi/FMAhrtIQhSw/mqdefault.jpg)
Row Space, Column Space and Null Space [EMNH]
![Finding Nullity and Rank of a Matrix - Part 3 [EMNH]](https://img.youtube.com/vi/ITg4xbUgSZo/mqdefault.jpg)
Finding Nullity and Rank of a Matrix - Part 3 [EMNH]
![Span and Basis [EMNH]](https://img.youtube.com/vi/qEBnv9-wGA8/mqdefault.jpg)
Span and Basis [EMNH]
![Vector Spaces - Part 1 [RSQT]](https://img.youtube.com/vi/1gem6awodcM/mqdefault.jpg)
Vector Spaces - Part 1 [RSQT]
![Vector Spaces - Part 2 (Segment 1) [RSQT]](https://img.youtube.com/vi/wm2leK__vfU/mqdefault.jpg)
Vector Spaces - Part 2 (Segment 1) [RSQT]
![Vector Spaces - Part 2 (Segment 2) [RSQT]](https://img.youtube.com/vi/EIKnCvN88CY/mqdefault.jpg)
Vector Spaces - Part 2 (Segment 2) [RSQT]
![Vector Spaces [RSQT]](https://img.youtube.com/vi/PwaeAkLok2U/mqdefault.jpg)
Vector Spaces [RSQT]
![Basis and Dimension [RSQT]](https://img.youtube.com/vi/SKb9VhcDIqM/mqdefault.jpg)
Basis and Dimension [RSQT]
![Four Fundamental Spaces [RSQT]](https://img.youtube.com/vi/5Qh13I1mPwk/mqdefault.jpg)
Four Fundamental Spaces [RSQT]
![Vectors in R^n [MHM]](https://img.youtube.com/vi/ZEs-19ejDZg/mqdefault.jpg)
Vectors in R^n [MHM]
![Vector Spaces [MHM]](https://img.youtube.com/vi/mlBXPP-VIXU/mqdefault.jpg)
Vector Spaces [MHM]
![Subspaces and Linear Combinations [MHM]](https://img.youtube.com/vi/ezuuoebwEwI/mqdefault.jpg)
Subspaces and Linear Combinations [MHM]
![Basis and Dimension of Vector Spaces [MHM]](https://img.youtube.com/vi/DGEQWHaCSEE/mqdefault.jpg)
Basis and Dimension of Vector Spaces [MHM]
![Row Space, Column Space and Rank of a Matrix [MHM]](https://img.youtube.com/vi/KNtOaCcuzy4/mqdefault.jpg)
Row Space, Column Space and Rank of a Matrix [MHM]
![Coordinates and Change of Basis - Part 1 [MHM]](https://img.youtube.com/vi/VdoR1yOkeHg/mqdefault.jpg)
Coordinates and Change of Basis - Part 1 [MHM]
![Coordinates and Change of Basis - Part 2 [MHM]](https://img.youtube.com/vi/HJ2mnxsrcLo/mqdefault.jpg)
Coordinates and Change of Basis - Part 2 [MHM]
![Coordinates and Alternative Coordinates with Respect to Basis Vectors [AAI]](https://img.youtube.com/vi/uVKnFhx0KhQ/mqdefault.jpg)
Coordinates and Alternative Coordinates with Respect to Basis Vectors [AAI]
![The Four Fundamental Subspaces - Part 1 [AAI]](https://img.youtube.com/vi/pAtMsUew1Q8/mqdefault.jpg)
The Four Fundamental Subspaces - Part 1 [AAI]
![The Four Fundamental Subspaces - Part 2 [AAI]](https://img.youtube.com/vi/X-X24KUv14Y/mqdefault.jpg)
The Four Fundamental Subspaces - Part 2 [AAI]
![Linear Transformations [PSD]](https://img.youtube.com/vi/llW6b_w9F5o/mqdefault.jpg)
Linear Transformations [PSD]
![Image and Kernel of a Linear Transformation [PSD]](https://img.youtube.com/vi/WFQq1J83K80/mqdefault.jpg)
Image and Kernel of a Linear Transformation [PSD]
![Linear Transformation (Advanced) [PSD]](https://img.youtube.com/vi/EgexcL5OdAQ/mqdefault.jpg)
Linear Transformation (Advanced) [PSD]
![Linear Transformation - Linearity, Kernel, Image (Quick Recap) [EMNH]](https://img.youtube.com/vi/Bm7enXo1JVQ/mqdefault.jpg)
Linear Transformation - Linearity, Kernel, Image (Quick Recap) [EMNH]
![Kernel and Image of a Transformation - Part 4 [EMNH]](https://img.youtube.com/vi/jbynUXLYHMs/mqdefault.jpg)
Kernel and Image of a Transformation - Part 4 [EMNH]
![Linear Transformation - Math Examples [EMNH]](https://img.youtube.com/vi/6NzJ6NMNCrw/mqdefault.jpg)
Linear Transformation - Math Examples [EMNH]
![Kernel - Part 1 [RSQT]](https://img.youtube.com/vi/BcsJHgq1f2A/mqdefault.jpg)
Kernel - Part 1 [RSQT]
![Kernel - Part 2 [RSQT]](https://img.youtube.com/vi/1C9Z81aSbMQ/mqdefault.jpg)
Kernel - Part 2 [RSQT]
![Linear Transformation - Part 3 [RSQT]](https://img.youtube.com/vi/qe8ligmF9V0/mqdefault.jpg)
Linear Transformation - Part 3 [RSQT]
![Matrix Transformation - Part 1 [AAI]](https://img.youtube.com/vi/pKe-7oqBVek/mqdefault.jpg)
Matrix Transformation - Part 1 [AAI]
![Matrix Transformation - Part 2 [AAI]](https://img.youtube.com/vi/dx4YpxnSFyU/mqdefault.jpg)
Matrix Transformation - Part 2 [AAI]
![Fun with Transformations [AAI]](https://img.youtube.com/vi/POfrI6vgZnM/mqdefault.jpg)
Fun with Transformations [AAI]
![Problem Solving Discussion: Linear Transformations [AAI]](https://img.youtube.com/vi/rUEheD3bXDI/mqdefault.jpg)
Problem Solving Discussion: Linear Transformations [AAI]
![Inner Product [PSD]](https://img.youtube.com/vi/MqOZl08oDAY/mqdefault.jpg)
Inner Product [PSD]
![Orthogonality in Inner Product Space [PSD]](https://img.youtube.com/vi/3Og8pysoNiM/mqdefault.jpg)
Orthogonality in Inner Product Space [PSD]
![Orthogonal Basis and Gram-Schmidt Procedure [PSD]](https://img.youtube.com/vi/nc_Ftbvj7Cg/mqdefault.jpg)
Orthogonal Basis and Gram-Schmidt Procedure [PSD]
![Inner Product, Length and Orthogonality [EMNH]](https://img.youtube.com/vi/WjAQi6OR2hE/mqdefault.jpg)
Inner Product, Length and Orthogonality [EMNH]
![Orthogonal Set, Gram-Schmidt Process [EMNH]](https://img.youtube.com/vi/Q5xAhER89zw/mqdefault.jpg)
Orthogonal Set, Gram-Schmidt Process [EMNH]
![Orthogonal Basis, Basics of Fourier Series [EMNH]](https://img.youtube.com/vi/kjgJuZro3zE/mqdefault.jpg)
Orthogonal Basis, Basics of Fourier Series [EMNH]
![Inner Product [RSQT]](https://img.youtube.com/vi/BIlWL7qz6DU/mqdefault.jpg)
Inner Product [RSQT]
![Orthogonality [RSQT]](https://img.youtube.com/vi/wFnPWwwLD3w/mqdefault.jpg)
Orthogonality [RSQT]
![Orthogonal Complement and Gram-Schmidt [RSQT]](https://img.youtube.com/vi/UIafAiAFV7A/mqdefault.jpg)
Orthogonal Complement and Gram-Schmidt [RSQT]
![Orthogonal and Orthonormal Basis [AAI]](https://img.youtube.com/vi/_i3hBelA6GM/mqdefault.jpg)
Orthogonal and Orthonormal Basis [AAI]
![The Gram-Schmidt Process [AAI]](https://img.youtube.com/vi/3TRF8QlZBJ0/mqdefault.jpg)
The Gram-Schmidt Process [AAI]
![Least Square Method [AAI]](https://img.youtube.com/vi/xocUKsb8S-M/mqdefault.jpg)
Least Square Method [AAI]
![Finding the Best Fit Line [AAI]](https://img.youtube.com/vi/Uc44M1WauPM/mqdefault.jpg)
Finding the Best Fit Line [AAI]
![Vector Projection - Part 1 [AAI]](https://img.youtube.com/vi/7GMg6Rw6Jbg/mqdefault.jpg)
Vector Projection - Part 1 [AAI]
![Vector Projection - Part 2 [AAI]](https://img.youtube.com/vi/X4E_9KRAQcI/mqdefault.jpg)
Vector Projection - Part 2 [AAI]
![Vector Projection - Part 3 [AAI]](https://img.youtube.com/vi/beHtLYLMGq8/mqdefault.jpg)
Vector Projection - Part 3 [AAI]
![Fourier Analysis: Physical Intuition (Series & Transform) [PSD]](https://img.youtube.com/vi/DcKgIO1sIfE/mqdefault.jpg)
Fourier Analysis: Physical Intuition (Series & Transform) [PSD]
![Periodic Functions, Even and Odd Functions [PSD]](https://img.youtube.com/vi/5hA3CdH7-V8/mqdefault.jpg)
Periodic Functions, Even and Odd Functions [PSD]
![General Fourier Series [PSD]](https://img.youtube.com/vi/BnosPposvSs/mqdefault.jpg)
General Fourier Series [PSD]
![Even and Odd Cases of Fourier Series [PSD]](https://img.youtube.com/vi/l6peRm4Gt_g/mqdefault.jpg)
Even and Odd Cases of Fourier Series [PSD]
![Half Range Fourier Series (Sine & Cosine) [PSD]](https://img.youtube.com/vi/15gmHARNJ4A/mqdefault.jpg)
Half Range Fourier Series (Sine & Cosine) [PSD]
![Series Sum using Fourier Series and Parseval's Identity [PSD]](https://img.youtube.com/vi/CsS2PQRIslo/mqdefault.jpg)
Series Sum using Fourier Series and Parseval's Identity [PSD]
![Complex Fourier Series [PSD]](https://img.youtube.com/vi/0W_CK00AV2c/mqdefault.jpg)
Complex Fourier Series [PSD]
![Fourier Analysis - Part 1 [EMNH]](https://img.youtube.com/vi/Xy-dx7_jjMs/mqdefault.jpg)
Fourier Analysis - Part 1 [EMNH]
![Fourier Analysis - Part 2 [EMNH]](https://img.youtube.com/vi/Z8pNfZqE3Ys/mqdefault.jpg)
Fourier Analysis - Part 2 [EMNH]
![Formula of the Fourier Series using the Inner Product [EMNH]](https://img.youtube.com/vi/-2W30juAN5Y/mqdefault.jpg)
Formula of the Fourier Series using the Inner Product [EMNH]
![Common Mistakes in Fourier Series [EMNH]](https://img.youtube.com/vi/Nh3X5qGR28s/mqdefault.jpg)
Common Mistakes in Fourier Series [EMNH]
![Periodic Functions [EMNH]](https://img.youtube.com/vi/CAEYVhMJyLw/mqdefault.jpg)
Periodic Functions [EMNH]
![Fourier Series - Part 1 [RSQT]](https://img.youtube.com/vi/riBEd74P3PI/mqdefault.jpg)
Fourier Series - Part 1 [RSQT]
![Fourier Series - Part 2 [RSQT]](https://img.youtube.com/vi/sNqEu7s_0l8/mqdefault.jpg)
Fourier Series - Part 2 [RSQT]
![Fourier Series - Part 3 [RSQT]](https://img.youtube.com/vi/XqvWjvDsGKQ/mqdefault.jpg)
Fourier Series - Part 3 [RSQT]
![Fourier Sine and Cosine Series [RSQT]](https://img.youtube.com/vi/NihmpaEvWcE/mqdefault.jpg)
Fourier Sine and Cosine Series [RSQT]
![Parseval's Identity [RSQT]](https://img.youtube.com/vi/fvPtQJU3lKs/mqdefault.jpg)
Parseval's Identity [RSQT]
![General Fourier Transformation (Fourier Integral) [PSD]](https://img.youtube.com/vi/fLcYljQVgfE/mqdefault.jpg)
General Fourier Transformation (Fourier Integral) [PSD]
![Fourier Cosine and Sine Transform [PSD]](https://img.youtube.com/vi/qniHKABVcAA/mqdefault.jpg)
Fourier Cosine and Sine Transform [PSD]
![Fourier Transformation - Quick Recap [EMNH]](https://img.youtube.com/vi/H1Aoms-xNOo/mqdefault.jpg)
Fourier Transformation - Quick Recap [EMNH]
![Fourier Sine/Cosine Transformation - Quick Recap [EMNH]](https://img.youtube.com/vi/Iwmo8GoSBQI/mqdefault.jpg)
Fourier Sine/Cosine Transformation - Quick Recap [EMNH]
![Fourier Transform [RSQT]](https://img.youtube.com/vi/NcY_UofLC7Q/mqdefault.jpg)
Fourier Transform [RSQT]
![Fourier Sine and Cosine Transform - Part 1 [RSQT]](https://img.youtube.com/vi/9IALfq5B-o4/mqdefault.jpg)
Fourier Sine and Cosine Transform - Part 1 [RSQT]
![Fourier Sine and Cosine Transform - Part 2 [RSQT]](https://img.youtube.com/vi/L41XZeDbCO0/mqdefault.jpg)
Fourier Sine and Cosine Transform - Part 2 [RSQT]
![Final Exam Guideline [PSD]](https://img.youtube.com/vi/IgvC2Ckw22U/mqdefault.jpg)
Final Exam Guideline [PSD]
![Final Review (Practice Sheet) [EMNH]](https://img.youtube.com/vi/VIbWLl80Edo/mqdefault.jpg)
Final Review (Practice Sheet) [EMNH]
![Weekly Wrap-Up - Week 1 [AAI]](https://img.youtube.com/vi/COsBpXFLodM/mqdefault.jpg)
Weekly Wrap-Up - Week 1 [AAI]
![Weekly Wrap-Up - Week 2 (Part 1) [AAI]](https://img.youtube.com/vi/8kCBtUJM7OE/mqdefault.jpg)
Weekly Wrap-Up - Week 2 (Part 1) [AAI]
![Weekly Wrap-Up - Week 2 (Part 2) [AAI]](https://img.youtube.com/vi/QYEloGuDJu0/mqdefault.jpg)
Weekly Wrap-Up - Week 2 (Part 2) [AAI]
![Weekly Wrap-Up - Week 3 (Part 1) [AAI]](https://img.youtube.com/vi/AaxqMCHWuXo/mqdefault.jpg)
Weekly Wrap-Up - Week 3 (Part 1) [AAI]
![Weekly Wrap-Up - Week 3 (Part 2) [AAI]](https://img.youtube.com/vi/nIJIXy33MX8/mqdefault.jpg)
Weekly Wrap-Up - Week 3 (Part 2) [AAI]
![Weekly Wrap-Up - Week 4 [AAI]](https://img.youtube.com/vi/yteYC6f2M0Y/mqdefault.jpg)
Weekly Wrap-Up - Week 4 [AAI]
![Weekly Wrap-Up - Week 5 [AAI]](https://img.youtube.com/vi/941JSmn8R2U/mqdefault.jpg)
Weekly Wrap-Up - Week 5 [AAI]
![Weekly Wrap-Up - Week 6 (Part 2) [AAI]](https://img.youtube.com/vi/XHEJznaO9HM/mqdefault.jpg)
Weekly Wrap-Up - Week 6 (Part 2) [AAI]
![Weekly Wrap-Up - Week 6 (Part 1) [AAI]](https://img.youtube.com/vi/96oBtE687QM/mqdefault.jpg)
Weekly Wrap-Up - Week 6 (Part 1) [AAI]
![Weekly Wrap-Up - Week 7 [AAI]](https://img.youtube.com/vi/zFJ6XGMmtBM/mqdefault.jpg)
Weekly Wrap-Up - Week 7 [AAI]
![Weekly Wrap-Up - Week 9 (Part 1) [AAI]](https://img.youtube.com/vi/LU60ixwbftg/mqdefault.jpg)
Weekly Wrap-Up - Week 9 (Part 1) [AAI]
![Weekly Wrap-Up - Week 9 (Part 2) [AAI]](https://img.youtube.com/vi/Nek_2JbAuPo/mqdefault.jpg)
Weekly Wrap-Up - Week 9 (Part 2) [AAI]
![Eigenvalue [PSD]](https://img.youtube.com/vi/yWP6F23AmW0/mqdefault.jpg)
![Eigenvector [PSD]](https://img.youtube.com/vi/CBoq7dgHAXk/mqdefault.jpg)
![Diagonalization [PSD]](https://img.youtube.com/vi/bqHc-2KScKk/mqdefault.jpg)
![Diagonalization [RSQT]](https://img.youtube.com/vi/1yyc9n4JLJc/mqdefault.jpg)
![Diagonalization Visualized [AAI]](https://img.youtube.com/vi/Ow8dqy2_pug/mqdefault.jpg)