Linear algebra
Bachelor's degree
In Maynard (USA)
Description
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Type
Bachelor's degree
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Location
Maynard (USA)
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Start date
Different dates available
This course parallels the combination of theory and applications in Professor Strang’s textbook Introduction to Linear Algebra. The course picks out four key applications in the book: Graphs and Networks; Systems of Differential Equations; Least Squares and Projections; and Fourier Series and the Fast Fourier Transform.
Facilities
Location
Start date
Start date
Reviews
Subjects
- Professor Training
- Algebra
Course programme
Lectures: 3 sessions / week, 1 hour / session
Recitations: 1 session / week, 1 hour / session
Multivariable Calculus (18.02)
The readings are assigned in: Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714.
Reading assignments are also provided for the newer edition: Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776.
NOTE: More material on linear algebra (and much more about differential equations) is in Professor Strang's 2014 textbook Differential Equations and Linear Algebra. In 2016, the textbook was developed into a series of 55 short videos, Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler.
The goals for 18.06 are using matrices and also understanding them.
Here are key computations and some of the ideas behind them:
The homeworks are essential in learning linear algebra. They are not a test and you are encouraged to talk to other students about difficult problems-after you have found them difficult. Talking about linear algebra is healthy. But you must write your own solutions.
There will be three one-hour exams at class times and a final exam. The use of calculators or notes is not permitted during the exams.
Some homework problems will require you to use MATLAB, an important tool for numerical linear algebra. No previous MATLAB experience is required in 18.06. The related resources section has links to information about MATLAB, including a tutorial.
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Linear algebra