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Summer Course on Linear Algebra and Differential Calculus of Several Variables

Stanford University Summer Session
8 weeks
Full time
Summer / Short course
Scholarships available
Online / Distance
Stanford
English
21 June 2021
Application deadline: Priority: 2021-01-09 | Rolling: 2021-06-01

Program description

Summer Course on Linear Algebra and Differential Calculus of Several Variables

This course provides unified coverage of linear algebra and multivariable differential calculus. It discusses applications connecting the material to many quantitative fields.

Linear algebra in large dimensions underlies the scientific, data-driven, and computational tasks of the 21st century. The linear algebra portion of the course includes orthogonality, linear independence, matrix algebra, and eigenvalues as well as ubiquitous applications: least squares, linear regression, Markov chains (relevant to population dynamics, molecular chemistry, and PageRank), singular value decomposition (essential in image compression, topic modeling, and data-intensive work in the natural sciences), and more.

The multivariable calculus material includes unconstrained optimization via gradients and Hessians (used for energy minimization in physics and chemistry), 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 (a crucial part of how GPS works).

The course emphasizes computations alongside an intuitive understanding of key ideas, making students well-prepared for further study of mathematics and its applications to other fields. The widespread use of computers makes it more important, not less, for users of math to understand concepts: in all scientific fields, novel users of quantitative tools in the future will be those who understand ideas and how they fit with applications and examples.

Admission requirements

Domestic and International Students (High School Students)

To be eligible to apply, you must:

  • Be a current sophomore, junior, or senior, or a gap year student at the time of application.
  • Be at least 16 at the start of the program, June 19, 2021, and no more than 19 by the last day, August 15, 2021. There are no exceptions to these age restrictions.
  • Not be matriculating into Stanford as freshman.
  • International Students: Be able to verify fluency in the English language, using one of the methods described in the English Language Proficiency below
    • Internet-Based Test of English as a Foreign Language (iBT TOEFL) . International English Language Testing System: Academic (IELTS: Academic). Cambridge Assessment English. Pearson Test of English Academic (PTEA) . SAT (Evidence Based Reading and Writing). ACT (English)

Domestic and International Students (Undergraduate Students)

To be eligible to apply, you must:

  • Be at least 17 years of age by the start of the program.
  • Have graduated from high school or secondary school or equivalent.
  • Have successfully completed at least one term of full-time university or post-secondary courses.
  • International Students: Be able to verify fluency in the English language, using one of the methods described in the English Language Proficiency section below
    • Internet-Based Test of English as a Foreign Language (iBT TOEFL) . International English Language Testing System: Academic (IELTS: Academic). Cambridge Assessment English. Pearson Test of English Academic (PTEA) . SAT (Evidence Based Reading and Writing). ACT (English)

Domestic and International Students (Graduate Students)

To be eligible to apply, you must:

  • Be at least 18 years of age at the start of the program.
  • Have graduated or have completed your requirements from your university or post-secondary institution.
  • International Students: Be able to verify fluency in the English language, using one of the methods described in the English Language Proficiency below
    • Internet-Based Test of English as a Foreign Language (iBT TOEFL) . International English Language Testing System: Academic (IELTS: Academic). Cambridge Assessment English. Pearson Test of English Academic (PTEA) . SAT (Evidence Based Reading and Writing). ACT (English)

For more information about admission requirements, please visit the institute website.


Does this course require proof of English proficiency?

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Tuition fees

The cost of this program is $6,165

Continuing studies

This is the only course at Stanford whose syllabus includes nearly all the math background for CS 229, which is why CS 229 and CS 230 specifically recommend it (or other courses resting on it).

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About this institute

Summer 2021 will be entirely online. Stanford University Summer Session invites visiting undergraduate, graduate, and high school students to experience Stanford University during its fourth academic quarter. Enrich your curiosity, creativity, and knowledge while you earn credit and an official...


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Contact info

Stanford University Summer Session

415 Broadway
Academy Hall, Floor 2, 8853
94063 Redwood City California
United States of America

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Want to know more about Summer Course on Linear Algebra and Differential Calculus of Several Variables? Fill out the following form and we'll pass your details on to a representative from the school, who will respond to your enquiry.

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