MATH 204
Concordia
Course Overview
Lessons & Practice
I. Welcome
1. Systems of Linear Equations and Matrices
4hr1.2.1. Augmented Matrix3 min1.2.2. Example3 min1.2.3. Example1 min1.2.4. Practice2 min1.2.5. Practice2 min1.2.6. Echelon Forms5 min1.2.7. Example2 min1.2.8. Example2 min1.2.9. Practice1.2.10. Practice1.2.11. Practice1.2.12. Reducing a Matrix5 min1.2.13. Example3 min1.2.14. Example7 min1.2.15. Practice2 min1.2.16. Practice3 min1.2.17. Practice
1.3.1. Basics of Matrices3 min1.3.2. Matrix Arithmetic3 min1.3.3. Example1 min1.3.4. Practice2 min1.3.5. Matrix Multiplication6 min1.3.6. Example1 min1.3.7. Example4 min1.3.8. Practice3 min1.3.9. Practice2 min1.3.10. Practice1.3.11. Matrix Transpose3 min1.3.12. Symmetric Matrices3 min1.3.13. Example3 min1.3.14. Practice60 sec1.3.15. Practice2 min1.3.16. Trace2 min
1.4.1. Matrix Inverse4 min1.4.2. Example3 min1.4.3. Practice32 sec1.4.4. Practice2 min1.4.5. Invertible Matrix Theorem2 min1.4.6. Example1 min1.4.7. Practice1 min1.4.8. Solving Matrix Equations2 min1.4.9. Example52 sec1.4.10. Example4 min1.4.11. Practice2 min1.4.12. Practice54 sec1.4.13. Practice2 min
1.6.1. Solving Linear Systems5 min1.6.2. Homogeneous Systems2 min1.6.3. Example3 min1.6.4. Example5 min1.6.5. Practice2 min1.6.6. Practice5 min1.6.7. Rank of a Matrix5 min1.6.8. Example3 min1.6.9. Practice38 sec1.6.10. Practice1 min1.6.11. Polynomial Interpolation5 min1.6.12. Example4 min1.6.13. Practice4 min
1.8.1. Linear Transformations6 min1.8.2. Example2 min1.8.3. Example3 min1.8.4. Practice2 min1.8.5. Practice8 min1.8.6. Composition and Inverse3 min1.8.7. Example4 min1.8.8. Practice3 min1.8.9. Special Linear Transformations in 5 min1.8.10. Example3 min1.8.11. Practice3 min1.8.12. Practice4 min1.8.13. Column Space and Null Space (Range and Kernel)3 min1.8.14. Example1.8.15. Practice3 min
2. Determinants
1.2hr2.3.1. Basics of Determinants5 min2.3.2. Example2 min2.3.3. Practice2 min2.3.4. Practice3 min2.3.5. Determinant & EROs3 min2.3.6. Example2 min2.3.7. Practice2 min2.3.8. Determinants and Inverse3 min2.3.9. Example3 min2.3.10. Practice2 min2.3.11. Cramer's Rule3 min2.3.12. Example2 min2.3.13. Practice3 min
3. Euclidean Vector spaces
3hr3.1.1. Basics of Vectors5 min3.1.2. Example1 min3.1.3. Example1 min3.1.4. Practice2 min3.1.5. Vector Operations8 min3.1.6. Example2 min3.1.7. Example2 min3.1.8. Example3 min3.1.9. Practice1 min3.1.10. Practice2 min3.1.11. Practice (Tricky)5 min3.1.12. Vector Properties4 min3.1.13. Example3 min3.1.14. Example3 min3.1.15. Practice: Vector Properties2 min
3.2.1. Basics of Dot Product2 min3.2.2. Example2 min3.2.3. Practice1 min3.2.4. Dot Product Properties3 min3.2.5. Example57 sec3.2.6. Example2 min3.2.7. Practice2 min3.2.8. Practice2 min3.2.9. Angle Between Vectors3 min3.2.10. Example2 min3.2.11. Example2 min3.2.12. Practice: Dot Product & Angle2 min3.2.13. Practice2 min3.2.14. Practice3.2.15. Vector Norm5 min3.2.16. Example3 min3.2.17. Practice2 min3.2.18. Practice7 min3.2.19. Practice3 min3.2.20. Unit Vectors5 min3.2.21. Example2 min3.2.22. Practice2 min
3.3.1. Projection and Perpendicular3 min3.3.2. Example2 min3.3.3. Example3 min3.3.4. Practice3.3.5. Practice3 min3.3.6. Practice: Projections3.3.7. Orthonormal Set3 min3.3.8. Example2 min3.3.9. Gram-Schmidt Process3 min3.3.10. Example4 min3.3.11. Practice3.3.12. Orthogonal Matrices3.3.13. Orthogonal Complement3.3.14. Orthogonal Projection
3.4.1. Geometric Interpretation of Solutions to SLEs4 min3.4.2. Example3 min3.4.3. Practice3 min3.4.4. Lines in 8 min3.4.5. Example3 min3.4.6. Example3 min3.4.7. Practice2 min3.4.8. Practice3.4.9. Practice3.4.10. Equations of Planes in 5 min3.4.11. Example2 min3.4.12. Example4 min3.4.13. Practice2 min3.4.14. Practice3.4.15. Practice (Tricky)4 min
