1. Home
  2. Mathematics (MTH)
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    1. Mathematics I (MTH105)
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      1. Week 1
      2. Week 2
      3. Week 3
      4. Week 4
      5. Week 5 (Exam)
      6. Week 6
      7. Week 7
      8. Week 8
      9. Week 9
      10. Week 10
      11. Week 11
      12. Week 12 (Review)
      13. Week 13
    2. Mathematics II (MTH106)
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      1. Week 1 (Review of Mathematics I)
      2. Week 2 (Review of Mathematics I)
      3. Week 3
      4. Week 4
      5. Week 5
      6. Week 6 (Review)
      7. Week 7 (Exam)
      8. Week 8
      9. Week 9
      10. Week 10
      11. Week 11
      12. Week 12
      13. Week 13
      14. Week 14 (Review)
    3. Linear Algebra (MTH104)
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      1. 1. Introduction
      2. 2. Vectors, Systems of Linear Equations
      3. 3. Linear Independence, Basis, Dimensions
      4. 4. Linear Transformations and Matrix Algebra
      5. 5. Dot Products and Orthogonality
      6. 6. Types of Matrices
      7. (Exam)
      8. 7. Determinants
      9. 8. Change of basis
      10. 9. Eigenvalues and Eigenvectors
      11. 10. Dot product and Cross product
      12. (Review)
      13. (Exam)
    4. Differential Equations (MTH215)
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      1. Week 1
      2. Week 2
      3. Week 3
      4. Week 4
      5. Week 5 (Holiday)
      6. Week 6
      7. Week 7 (Review)
      8. Week 8 (Exam)
      9. Week 9
      10. Week 10
      11. Week 11
      12. Week 12
      13. Week 13 (Exercises)
      14. Week 14 (Review)
      15. Week 15 (Exam)
    5. Probability and Statistics (MTH207)
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      1. Week 1
      2. Week 2
      3. Week 3
      4. Week 4
      5. Week 5 (Holiday)
      6. Week 6
      7. Week 7 (review)
      8. Week 8 (exam)
      9. Week 9
      10. Week 10
      11. Week 11
      12. Week 12
      13. Week 13
    6. Discrete Mathematics (MTH202)
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      1. Week 1
      2. Week 2
      3. Week 3
      4. Week 4
      5. Week 5
      6. Week 6
      7. Week 7
      8. Week 8 (exam)
      9. Week 9
      10. Week 10
      11. Week 11
      12. Week 12
      13. Week 13
  3. Physics (PHY)
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    1. Physics I (PHY107)
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      1. 1. Physics and Measurement
      2. 2. Motion in One Dimension
      3. 3. Vectors
      4. 4. Motion in Two Dimensions
      5. 5. The Laws of Motion
      6. 6. Circular Motion and other Applications of Newton's Laws
      7. 7. Work and Kinetic Energy
      8. 8. Potential Energy and Conservation of Energy
      9. 9. Linear Momentum and Collisions
      10. 10. Rotation of a Rigid Object About a Fixed Axis
      11. 11. Rolling Motion and Angular Momentum
      12. 12. Static Equilibrium and Elasticity
    2. Physics II (PHY108)
      ❱
      1. 1. Electric Fields
      2. 2. Gauss's Law
      3. 3. Electric Potential
      4. 4. Capacitance and Dielectrics
      5. 5. Current and Resistance
      6. 6. Direct Current Circuits
      7. 7. Magnetic Fields
      8. 8. Sources of Magnetic Field
      9. 9. Faraday's Law
      10. 10. Inductance
      11. 11. Alternating Current Circuits
      12. 12. Electromagnetic Waves
  4. Computer (COM)
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    1. Computer Programming I (COM103)
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      1. 0. Scratch
      2. 1. C
      3. 2. Arrays
      4. 3. Algorithms
      5. 4. Memory
      6. 5. Data Structures
    2. Computer Architecture (COM204)
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      1. Week 1 (Introduction)
      2. Week 2
      3. Week 3
      4. Week 4
      5. Week 5
      6. Week 6
      7. Week 7
      8. Week 8 (Exam)
      9. Week 9
      10. Week 10
      11. Week 11
      12. Week 12
      13. Week 13
      14. Week 14
      15. Week 15
      16. Week 16 (Exam)
    3. Data Structures And Algorithms (COM202)
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      1. Week 1
      2. Week 2
      3. Week 3
      4. Week 4
      5. Week 5
      6. Week 6
      7. Week 7
      8. Week 8 (Exam)
      9. Week 9
      10. Week 10
      11. Week 11
      12. Week 12
      13. Week 13
      14. Week 14 (Exam)
  5. Electrical Engineering (EEE)
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    1. Basics of Electrical Engineering (EEE201)
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      1. Week 1 (bs)
      2. Week 2 (bs)
      3. Week 3
      4. Week 4
      5. Week 5
      6. Week 6
      7. Week 7
      8. Week 8 (Exam)
      9. Week 9
      10. Week 10
      11. Week 11
      12. Week 12
      13. Week 13
    2. Electronics Circuits (EEM212)
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      1. Week 1 (bs)
      2. Week 2
      3. Week 3
      4. Week 4
      5. Week 5
      6. Week 6
      7. Week 7
      8. Week 8 (Exam)
      9. Week 9
      10. Week 10
      11. Week 11
      12. Week 12
      13. Week 13
      14. Week 14
      15. Week 15
      16. Week 16 (Exam)

College Resources

4. Linear Transformations and Matrix Algebra

Chapters (Interactive Linear Algebra):

  • 3. Linear Transformations and Matrix Algebra
    • 3.1 Matrix Transformations
    • 3.2 One-to-one and Onto Transformations
    • 3.3 Linear Transformations
    • 3.4 Matrix Multiplication
    • 3.5 Matrix Inverses
    • 3.6 The Invertible Matrix Theorem

Videos:

  • 3Blue1Brown: Linear transformations and matrices
  • 3Blue1Brown: Matrix multiplication as composition
  • 3Blue1Brown: Three-dimensional linear transformations
  • 3Blue1Brown: The determinant
  • 3Blue1Brown: Inverse matrices, column space and null space
  • Khan Academy: Matrix transformations
  • Kimberly Brehm: Matrix Transformations
  • Kimberly Brehm: Introduction to Linear Transformations
  • Kimberly Brehm: Matrix Operations - Sums and Scalar Multiples
  • Kimberly Brehm: Matrix Operations - Multiplication and Transpose
  • Kimberly Brehm: The Inverse of a Matrix
  • Kimberly Brehm: Solving 2x2 Systems with the Inverse and Inverse Properties
  • Kimberly Brehm: Elementary Matrices And An Algorithm for Finding A Inverse
  • Kimberly Brehm: Characterizations of Invertible Matrices