ESC103: Engineering Mathematics and Computation (Notes)


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Lecture Topic Notes
1 Unit 1: Review of Vectors Click To Download
2 Unit 1: Review of Vectors (Continuted) Click To Download
3 Unit 2: Multiplying Vectors using Dot Product Click To Download
4 Unit 3: Projecting one Vector on Another Click To Download
5 Unit 4: Multiplying Vectors using Cross Product Click To Download
6 Unit 5: Lines and Planes in 3-D Click To Download
7 Unit 6: Solving Linear Equations using Row Picture and Column Picture Click To Download
8 Unit 7: Working with Matrices Click To Download
9 Unit 8: Independence, Dependence and Column Space Click To Download
10 Unit 9: Matrix Multiplication
Unit 10: Factoring Matrix A into C times R
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11 Unit 11: Solving Linear Equations using Elimination
Unit 12: Elimination Matrices
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12 Unit 13: Finding Matrix R to Solve Ax = 0
Unit 14: Solving Ax = b using Gaussian Elimination
Unit 15: Connecting Rank and the Shape of a Matrix
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13 Unit 16: Solving the Least Squares Problem Click To Download
14 Unit 17: Numerical Solutions to First Order Differential Equations
Unit 18: Higher Order Systems
Unit 19: Boundary Value Problems
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15 Unit 20: Inverse Matrices
Unit 21: Finding the Inverse using Gaussian Elimination
Unit 22: An Important Theorem and a Good Segue into MAT185S
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Note: The lecture numbers here do not correspond to the actual progression of the lectures. There were 23 lectures in total. Some of the notes cover multiple lectures. I have included the topics each set of notes covers for your convenience.


Last Updated on December 18, 2024

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