![]() ![]() Math 52- Integral Calculus of Several Variables (5 units) covers multivariable integration, and in particular Green’s Theorem and Stokes’ Theorem. This uses both linear algebra and matrix derivative material from Math 51. If you want transfer credit to substitute for Math 51 then you will likely need two courses (one on multivariable calculus, one on linear algebra). ![]() Many students who learn some multivariable calculus before arriving at Stanford find Math 51 to be instructive to take due to its broad scope and synthesis of concepts. The unified treatment of both linear algebra (beyond dimension 3 and including eigenvalues) and multivariable optimization is not covered in a single course accessible to non-majors anywhere else. This material includes the basic geometry and algebra of vectors, matrices, and linear transformations, as well as optimization techniques in any number of variables (involving partial derivatives and Lagrange multipliers). Math 51- Linear Algebra, Multivariable Calculus, and Modern Applications (5 units) covers linear algebra and multivariable differential calculus in a unified manner alongside applications related to many quantitative fields. If you took multivariable calculus elsewhere, please click the button below:Īlready took some multivariable calculus? The department offers 3 sequences in multivariable mathematics. For more details, click on the red button above. The placement diagnostic is only advisory (no exam security), and Math 21 content is not in Math 51, so placement diagnostic guidance or passing Math 51 doesn't waive Math 21 requirements. You cannot do university-level quantitative work (including probability) without this material. Math 21 is an enforced requirement of all majors in the School of Engineering (including CS and MS&E) and Chemistry and Symbolic Systems, and is required knowledge for Data Science (BS), Geophysics, and Physics. Taylor series and applications are also covered. Math 21- Calculus (4 units) covers limits at infinity and unbounded functions in the context of integration as well as infinite sums, including convergence/divergence tests and power series. An introduction to some basic notions related to differential equations (such as exponential growth/decay and separable equations) is also given. Math 20- Calculus (3 units) covers properties and applications of integration, including the Fundamental Theorem of Calculus and computations of volumes, areas, and arc length of parametric curves. Calculations involve trigonometric functions, exponentials, and logarithms, and applications include max/min problems and curve-sketching. Math 19- Calculus (3 units) covers properties and applications of limits, continuous functions, and derivatives. ![]() It can be started at any point in the sequence for those with sufficient background. This series covers differential calculus, integral calculus, and power series in one variable. ![]()
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