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
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Language
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Credits
Delivered
Disciplines
Mathematics Applied Mathematics Machine Learning View 18 other Short Courses in Applied Mathematics in United StatesAcademic requirements
We are not aware of any specific GRE, GMAT or GPA grading score requirements for this programme.
English requirements
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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
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International
6860 USD/fullTuition FeeBased on the tuition of 6860 USD for the full programme during 2 months. -
National
6860 USD/fullTuition FeeBased on the tuition of 6860 USD for the full programme during 2 months. -
In-State
6860 USD/fullTuition FeeBased on the tuition of 6860 USD for the full programme during 2 months.
Living costs for Stanford
The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.