MATH1014 Mathematics And Applications 2 Notes | Assignment Help | Syllabus
University: Australian National University
“This is a continuation of MATH1013. It emphasizes an understanding of the fundamental results from calculus and linear algebra, which can be used in a variety of fields such as physical and biological sciences, engineering and information technology, economics, and commerce, as well as serve as a foundation for future mathematics courses. Many applications and links to other disciplines will be mentioned, but not further developed.
The following are some of the topics that will be discussed:
Calculus – Integration and integration methods, such as multiple and iterated integrals. Sequences and series are two types of sequences. Visualisation, continuity, partial derivatives, and directional derivatives are all functions of many variables. Multipliers of Lagrange.
Linear Algebra is the study of Euclidean vector spaces and its applications. Vector spaces: orthogonality and least squares; linear independence, bases, and dimension; eigenvalues and eigenvectors; eigenvalues and eigenvectors; eigenvalues and eigenvectors; eigenvalues and eigenvector
After successfully completing the course, students will be able to:
Explain the basic principles of calculus and linear algebra, as well as their applications in contemporary mathematics. In linear algebra, these ideas include vector spaces, eigenvalues and eigenvectors, orthogonality, and least squares; in calculus, these concepts include integration, sequences and series, functions of many variables, and partial differential equations.
Demonstrate the correct and efficient use of calculus and linear algebra methods to the topics mentioned above.
Explaining ideas from calculus and linear algebra will demonstrate your ability to think mathematically.
Apply calculus and linear algebra problem-solving methods to a variety of problems in physics, engineering, and other mathematical settings.”
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