MATH 125
U of A
Course Overview
Lessons & Practice
I. Welcome
1. Vectors
4hr1.2.1. Basics of Dot Product1.2.2. Example1.2.3. Practice1.2.4. Dot Product Properties1.2.5. Example1.2.6. Example1.2.7. Practice1.2.8. Practice1.2.9. Vector Norm1.2.10. Example1.2.11. Practice1.2.12. Practice1.2.13. Practice1.2.14. Unit Vectors1.2.15. Example1.2.16. Practice1.2.17. Distances1.2.18. Example1.2.19. Example1.2.20. Practice1.2.21. Practice1.2.22. Angle Between Vectors1.2.23. Example1.2.24. Example1.2.25. Practice: Dot Product & Angle1.2.26. Practice1.2.27. Practice1.2.28. Projection and Perpendicular1.2.29. Example1.2.30. Example1.2.31. Practice1.2.32. Practice1.2.33. Practice: Projections
1.3.1. Lines in 1.3.2. Example1.3.3. Example1.3.4. Practice1.3.5. Practice1.3.6. Practice1.3.7. Equations of Planes in 1.3.8. Example1.3.9. Example1.3.10. Practice1.3.11. Practice1.3.12. Practice (Tricky)1.3.13. Hyperplanes1.3.14. Example1.3.15. Practice1.3.16. Intersection of Two Lines1.3.17. Example1.3.18. Example1.3.19. Example1.3.20. Practice1.3.21. Practice1.3.22. Intersection of Lines and Planes1.3.23. Example1.3.24. Example1.3.25. Practice1.3.26. Practice1.3.27. Cross Product1.3.28. Example1.3.29. Practice1.3.30. Cross Product Properties1.3.31. Example1.3.32. Example1.3.33. Practice1.3.34. Practice1.3.35. Cross Product and Area1.3.36. Example1.3.37. Practice1.3.38. Volume of a Parallelepiped1.3.39. Example1.3.40. Practice
2. Systems of Equations
2hr2.2.1. Augmented Matrix2.2.2. Example2.2.3. Example2.2.4. Practice2.2.5. Practice2.2.6. Echelon Forms2.2.7. Example2.2.8. Example2.2.9. Practice2.2.10. Practice2.2.11. Practice2.2.12. Reducing a Matrix2.2.13. Example2.2.14. Example2.2.15. Practice2.2.16. Practice2.2.17. Practice2.2.18. Solving Linear Systems2.2.19. Homogeneous Systems2.2.20. Example2.2.21. Example2.2.22. Practice2.2.23. Practice2.2.24. Rank of a Matrix2.2.25. Example2.2.26. Practice2.2.27. Practice
3. Matrices
3hr3.6.1. Linear Transformations3.6.2. Example3.6.3. Example3.6.4. Practice3.6.5. Practice3.6.6. Elementary Matrices3.6.7. Example3.6.8. Example3.6.9. Practice3.6.10. Practice3.6.11. Special Linear Transformations in 3.6.12. Example3.6.13. Practice3.6.14. Practice3.6.15. Composition and Inverse3.6.16. Example3.6.17. Practice3.6.18. Column Space and Null Space (Range and Kernel)3.6.19. Example3.6.20. Practice
4. Eigenvalues and Eigenvectors
2.2hr4.2.1. Basics of Determinants4.2.2. Example4.2.3. Practice4.2.4. Practice4.2.5. Determinant & EROs4.2.6. Example4.2.7. Practice4.2.8. Minors and Cofactors4.2.9. Determinants of Large Matrices4.2.10. Example4.2.11. Practice4.2.12. Practice4.2.13. Shortcut for Determinants4.2.14. Example4.2.15. Practice4.2.16. Determinants and Inverse4.2.17. Example4.2.18. Practice4.2.19. Cramer's Rule4.2.20. Example4.2.21. Practice
5. Appendix C: Complex Numbers
1.3hrMidterm Overview
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.