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MATH 1025
York U
Course Overview
Lessons & Practice
I. Welcome
54 sec1.
5hr1.7.1. Basics of Dot Product2 min1.7.2. Example2 min1.7.3. Practice1 min1.7.4. Dot Product Properties3 min1.7.5. Example57 sec1.7.6. Example2 min1.7.7. Practice2 min1.7.8. Practice2 min1.7.9. Angle Between Vectors3 min1.7.10. Example2 min1.7.11. Example2 min1.7.12. Practice: Dot Product & Angle2 min1.7.13. Practice2 min1.7.14. Practice1.7.15. Projection and Perpendicular3 min1.7.16. Example2 min1.7.17. Example3 min1.7.18. Practice1.7.19. Practice3 min1.7.20. Practice: Projections
1.9.1. Cross Product4 min1.9.2. Example3 min1.9.3. Practice2 min1.9.4. Cross Product Properties4 min1.9.5. Example2 min1.9.6. Example2 min1.9.7. Practice2 min1.9.8. Practice2 min1.9.9. Cross Product and Area2 min1.9.10. Example3 min1.9.11. Practice4 min1.9.12. Volume of a Parallelepiped1 min1.9.13. Example2 min1.9.14. Practice1 min
1.10.1. Span5 min1.10.2. Example2 min1.10.3. Practice1 min1.10.4. Practice2 min1.10.5. Linear Independence6 min1.10.6. Example2 min1.10.7. Example1 min1.10.8. Practice3 min1.10.9. Vector Spaces8 min1.10.10. Example4 min1.10.11. Example4 min1.10.12. Practice6 min1.10.13. Practice4 min1.10.14. Subspaces4 min1.10.15. Example3 min1.10.16. Practice4 min1.10.17. Basis and Dimension3 min1.10.18. Example4 min1.10.19. Basis and Dimension3 min1.10.20. Practice4 min1.10.21. Coordinates1.10.22. Example1.10.23. Practice1.10.24. Practice1.10.25. Column Space and Null Space (Range and Kernel)3 min1.10.26. Example1.10.27. Practice3 min
2. Systems of Equations
1.6hr2.2.1. Augmented Matrix3 min2.2.2. Example3 min2.2.3. Example1 min2.2.4. Practice2 min2.2.5. Practice2 min2.2.6. Echelon Forms5 min2.2.7. Example2 min2.2.8. Example2 min2.2.9. Practice2.2.10. Practice2.2.11. Practice2.2.12. Reducing a Matrix5 min2.2.13. Example3 min2.2.14. Example7 min2.2.15. Practice2 min2.2.16. Practice3 min2.2.17. Practice2.2.18. Solving Linear Systems5 min2.2.19. Homogeneous Systems2 min2.2.20. Example3 min2.2.21. Example5 min2.2.22. Practice2 min2.2.23. Practice5 min2.2.24. Rank of a Matrix5 min2.2.25. Example3 min2.2.26. Practice38 sec2.2.27. Practice1 min
3. Matrices
1.5hr3.1.1. Basics of Matrices3 min3.1.2. Matrix Arithmetic3 min3.1.3. Example1 min3.1.4. Practice2 min3.1.5. Matrix Multiplication6 min3.1.6. Example1 min3.1.7. Example4 min3.1.8. Practice3 min3.1.9. Practice2 min3.1.10. Practice3.1.11. Matrix Transpose3 min3.1.12. Symmetric Matrices3 min3.1.13. Example3 min3.1.14. Practice60 sec3.1.15. Practice2 min3.1.16. Matrix Inverse4 min3.1.17. Example3 min3.1.18. Practice32 sec3.1.19. Practice2 min3.1.20. Elementary Matrices7 min3.1.21. Example2 min3.1.22. Example4 min3.1.23. Practice2 min3.1.24. Practice3 min3.1.25. Matrix Inverse Algorithm3 min3.1.26. Example2 min3.1.27. Example2 min3.1.28. Practice2 min3.1.29. Invertible Matrix Theorem2 min3.1.30. Example1 min3.1.31. Practice1 min3.1.32. Solving Matrix Equations2 min3.1.33. Example52 sec3.1.34. Example4 min3.1.35. Practice2 min3.1.36. Practice54 sec3.1.37. Practice2 min
4. Determinants
1.2hr4.1.1. Basics of Determinants5 min4.1.2. Example2 min4.1.3. Practice2 min4.1.4. Practice3 min4.1.5. Determinant & EROs3 min4.1.6. Example2 min4.1.7. Practice2 min4.1.8. Minors and Cofactors4 min4.1.9. Determinants of Large Matrices4 min4.1.10. Example3 min4.1.11. Practice2 min4.1.12. Practice4 min4.1.13. Shortcut for Determinants2 min4.1.14. Example1 min4.1.15. Practice2 min
5. Linear Transformations
49min6. Complex Numbers
1.3hr7. Spectral Theory
1.9hr7.3.1. Markov Chains (Random Walks)7 min7.3.2. Example6 min7.3.3. Practice5 min7.3.4. Linear Dynamical Systems and Recurrence Relations9 min7.3.5. Example7 min7.3.6. Practice8 min7.3.7. Systems of Linear Differential Equations3 min7.3.8. Solving a System of Linear DEs2 min7.3.9. Example4 min7.3.10. Practice7.3.11. Practice
MATH 1025 Overview
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Welcome to MATH 1025! This on-demand course was put together especially for MATH 1025 at York U. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!
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M sc. Mathematics
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I Welcome 54sec
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.