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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
- Starting
- Apply before
-
Language
English
Duolingo English Test 120
TOEFL® IBT 100
PTE Academic 70
IELTS 7
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- 4.9/5 student rating
Credits
5 SCH
Delivered
On Campus
Campus Location
- Stanford, United States
Disciplines
Mathematics Applied Mathematics Machine Learning View 218 other Short Courses in Machine Learning in United StatesWhat students do after studying
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Academic requirements
We are not aware of any specific GRE, GMAT or GPA grading score requirements for this programme.
English requirements
Duolingo English Test 120
TOEFL® IBT 100
PTE Academic 70
IELTS 7
Prepare for Your English Test
Cathoven AI IELTS Preparation AI-powered IELTS feedback. Clear, actionable, and tailored to boost your writing & speaking score. No credit card or upfront payment required.
- Trusted by 300k learners
- 98 accuracy using real exam data
- 4.9/5 student rating
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 Fees
Tuition fees are shown in and the most likely applicable fee is shown based on your nationality.
-
International Applies to you
Applies to youNon-residents6860 USD / full≈ 6860 USD / full - Out-of-State6860 USD / full≈ 6860 USD / full
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Domestic
Applies to youIn-State6860 USD / full≈ 6860 USD / full
Living costs
Stanford
United States
1100 - 1600 USD / month
The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.
Funding
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