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Overview
The Linear Algebra, Multivariable Calculus, and Modern Applications program offered by Stanford University - Summer Sessions 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. 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).
Key facts:
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).
Programme Structure
- The linear algebra portion of the course includes orthogonality, linear independence, matrix algebra, and eigenvalues as well as ubiquitious 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.
Key information
Duration
- Full-time
- 2 months
Start dates & application deadlines
- Starting
- Apply before
-
Language
English
IELTS 7
TOEFL® IBT 100
Credits
5 SCH
Delivered
On Campus
Disciplines
Mathematics Applied Mathematics Machine Learning View 64 other Short Courses in Mathematics in United StatesAcademic requirements
We are not aware of any specific GRE, GMAT or GPA grading score requirements for this programme.
English requirements
IELTS 7
TOEFL® IBT 100
Student insurance
Make sure to cover your health, travel, and stay while studying abroad. Even global coverages can miss important items, so make sure your student insurance ticks all the following:
- Additional medical costs (i.e. dental)
- Repatriation, if something happens to you or your family
- Liability
- Home contents and baggage
- Accidents
- Legal aid
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Remember, countries and universities may have specific insurance requirements. To learn more about how student insurance work at Stanford University - Summer Sessions and/or in United States, please visit Student Insurance Portal.
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
6410 USD/fullTuition FeeBased on the tuition of 6410 USD for the full programme during 2 months. -
National
6410 USD/fullTuition FeeBased on the tuition of 6410 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
Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.
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