MATH 125
U of A
Course Overview
Lessons & Practice
I. Welcome
54 sec1. Vectors
4hr1.1.1. Basics of Vectors5 min1.1.2. Example1 min1.1.3. Example1 min1.1.4. Practice2 min1.1.5. Vector Operations8 min1.1.6. Example2 min1.1.7. Example2 min1.1.8. Example3 min1.1.9. Practice1 min1.1.10. Practice2 min1.1.11. Practice (Tricky)5 min1.1.12. Vector Properties4 min1.1.13. Example3 min1.1.14. Example3 min1.1.15. Practice: Vector Properties2 min
1.2.1. Basics of Dot Product2 min1.2.2. Example2 min1.2.3. Practice1 min1.2.4. Dot Product Properties3 min1.2.5. Example57 sec1.2.6. Example2 min1.2.7. Practice2 min1.2.8. Practice2 min1.2.9. Vector Norm5 min1.2.10. Example3 min1.2.11. Practice2 min1.2.12. Practice7 min1.2.13. Practice3 min1.2.14. Unit Vectors5 min1.2.15. Example2 min1.2.16. Practice2 min1.2.17. Distances5 min1.2.18. Example3 min1.2.19. Example3 min1.2.20. Practice4 min1.2.21. Practice3 min1.2.22. Angle Between Vectors3 min1.2.23. Example2 min1.2.24. Example2 min1.2.25. Practice: Dot Product & Angle2 min1.2.26. Practice2 min1.2.27. Practice1.2.28. Projection and Perpendicular3 min1.2.29. Example2 min1.2.30. Example3 min1.2.31. Practice1.2.32. Practice3 min1.2.33. Practice: Projections
1.3.1. Lines in 8 min1.3.2. Example3 min1.3.3. Example3 min1.3.4. Practice2 min1.3.5. Practice1.3.6. Practice1.3.7. Equations of Planes in 5 min1.3.8. Example2 min1.3.9. Example4 min1.3.10. Practice2 min1.3.11. Practice1.3.12. Practice (Tricky)4 min1.3.13. Hyperplanes3 min1.3.14. Example1 min1.3.15. Practice3 min1.3.16. Intersection of Two Lines3 min1.3.17. Example2 min1.3.18. Example3 min1.3.19. Example2 min1.3.20. Practice2 min1.3.21. Practice7 min1.3.22. Intersection of Lines and Planes2 min1.3.23. Example2 min1.3.24. Example3 min1.3.25. Practice1 min1.3.26. Practice1 min1.3.27. Cross Product4 min1.3.28. Example3 min1.3.29. Practice2 min1.3.30. Cross Product Properties4 min1.3.31. Example2 min1.3.32. Example2 min1.3.33. Practice2 min1.3.34. Practice2 min1.3.35. Cross Product and Area2 min1.3.36. Example3 min1.3.37. Practice4 min1.3.38. Volume of a Parallelepiped1 min1.3.39. Example2 min1.3.40. Practice1 min
2. Systems of Equations
2hr2.2.1. 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
3hr3.1.1. 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 min
3.5.1. Vector Spaces8 min3.5.2. Example4 min3.5.3. Example4 min3.5.4. Practice6 min3.5.5. Practice4 min3.5.6. Subspaces4 min3.5.7. Example3 min3.5.8. Practice4 min3.5.9. Basis and Dimension3 min3.5.10. Example4 min3.5.11. Basis and Dimension3 min3.5.12. Practice4 min3.5.13. Coordinates3.5.14. Example3.5.15. Practice3.5.16. Practice
3.6.1. Linear Transformations6 min3.6.2. Example2 min3.6.3. Example3 min3.6.4. Practice2 min3.6.5. Practice8 min3.6.6. Elementary Matrices7 min3.6.7. Example2 min3.6.8. Example4 min3.6.9. Practice2 min3.6.10. Practice3 min3.6.11. Special Linear Transformations in 5 min3.6.12. Example3 min3.6.13. Practice3 min3.6.14. Practice4 min3.6.15. Composition and Inverse3 min3.6.16. Example4 min3.6.17. Practice3 min3.6.18. Column Space and Null Space (Range and Kernel)3 min3.6.19. Example3.6.20. Practice3 min
4. Eigenvalues and Eigenvectors
2.2hr4.2.1. Basics of Determinants5 min4.2.2. Example2 min4.2.3. Practice2 min4.2.4. Practice3 min4.2.5. Determinant & EROs3 min4.2.6. Example2 min4.2.7. Practice2 min4.2.8. Minors and Cofactors4 min4.2.9. Determinants of Large Matrices4 min4.2.10. Example3 min4.2.11. Practice2 min4.2.12. Practice4 min4.2.13. Shortcut for Determinants2 min4.2.14. Example1 min4.2.15. Practice2 min4.2.16. Determinants and Inverse3 min4.2.17. Example3 min4.2.18. Practice2 min4.2.19. Cramer's Rule3 min4.2.20. Example2 min4.2.21. Practice3 min
