MATH2061

Linear Mathematics and Vector Calculus

University of Sydney, Australia

About course

This course looks at linear systems of equations and further explores integration investigated in previous calculus courses. The first half of the course focuses on establishing matrix spaces and moves on to apply linear systems of equations to natural phenomena. The second half of the course expands pre-assumed knowledge, looking at a variety of integrals in 2 and 3-dimensional spaces while solving real world problems.

Course Content

1. Introduction and Revision

2. Vector Spaces and Linear Combinations

3. Linear Independency and Bases

4. Eigenvalues and Eigenvectors

5. Linear Recurrence

6. Systems of Differential Equations

7. Line Integrals

8. Vector Fields

9. Double Integrals

10. Surface Integrals

11. Triple Integrals

1.1 Introduction to Linear Mathematics and Vector Calculus

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