Linear Algebra, Multivariable Calculus, and Modern Applications, Short Course | Stanford University - Summer Sessions | Stanford, United States
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Short On Campus

Linear Algebra, Multivariable Calculus, and Modern Applications

2 months
Duration
6860 USD/full
6860 USD/full
6860 USD/full
Unknown
Tuition fee
Unknown
Apply date
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Start date

About

This Linear Algebra, Multivariable Calculus, and Modern Applications course at Stanford University - Summer Sessions provides unified coverage of linear algebra and multivariable differential calculus, and the free course e-text connects the material to many fields.

Overview

About the course

The Linear Algebra, Multivariable Calculus, and Modern Applications course at Stanford University - Summer Sessions emphasizes computations alongside an intuitive understanding of key ideas.

The widespread use of computers makes it important for users of math to understand concepts: novel users of quantitative tools in the future will be those who understand ideas and how they fit with examples and applications.

Programme Structure

What you will study:

  • Linear algebra in large dimensions underlies the scientific, data-driven, and computational tasks of the 21st century.
  • The linear algebra portion includes orthogonality, linear independence, matrix algebra, and eigenvalues with applications such as least squares, linear regression, and Markov chains (relevant to population dynamics, molecular chemistry, and PageRank); the singular value decomposition (essential in image compression, topic modeling, and data-intensive work in many fields) is introduced in the final chapter of the e-text.
  • The multivariable calculus portion includes unconstrained optimization via gradients and Hessians (used for energy minimization), constrained optimization (via Lagrange multipliers, crucial in economics), gradient descent and the multivariable Chain Rule (which underlie many machine learning algorithms, such as backpropagation), and Newton's method (an ingredient in GPS and robotics).

Key information

Duration

  • Full-time
    • 2 months

Start dates & application deadlines

Credits

5 SCH

Delivered

On Campus

Academic requirements

We are not aware of any specific GRE, GMAT or GPA grading score requirements for this programme.

Other requirements

General requirements

  • The Math Placement Diagnostic is required to enroll in the course unless Math 21 or 42 have been completed at Stanford. 
  • The Math Placement Diagnostic should not be considered a barrier to enrollment, but is a way for the student to prepare for the course and ensure that they have the prerequisite knowledge. A certain score is not required in order to enroll, simply taking the diagnostic is sufficient.

Tuition Fee

To always see correct tuition fees
  • International

    6860 USD/full
    Tuition Fee
    Based on the tuition of 6860 USD for the full programme during 2 months.
  • National

    6860 USD/full
    Tuition Fee
    Based on the tuition of 6860 USD for the full programme during 2 months.
  • In-State

    6860 USD/full
    Tuition Fee
    Based on the tuition of 6860 USD for the full programme during 2 months.

Living costs for Stanford

1100 - 1600 USD /month
Living costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.

Funding

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Linear Algebra, Multivariable Calculus, and Modern Applications
Stanford University - Summer Sessions
Linear Algebra, Multivariable Calculus, and Modern Applications
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Stanford University - Summer Sessions

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