2 Classes (24 Units)

18.02 (12), 18.03 (12)

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18.02 Calculus

Class Info

Calculus of several variables. Vector algebra in 3-space, determinants, matrices. Vector-valued functions of one variable, space motion. Scalar functions of several variables: partial differentiation, gradient, optimization techniques. Double integrals and line integrals in the plane; exact differentials and conservative fields; Green's theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes' theorem; applications.

This class has 18.01 as a prerequisite.

18.02 will be offered this semester (Fall 2017). It is instructed by J. W. Bush.

Lecture occurs 1:00 PM to 2:00 PM on Tuesdays and Thursdays in 26-100.

This class counts for a total of 12 credits.

You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.02&btnG=Google+Search&inurl=https site or on the 18.02 Stellar site.

Required Textbooks
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MIT 18.02 Calculus Related Textbooks

18.03 Differential Equations

Class Info

Study of differential equations, including modeling physical systems. Solution of first-order ODEs by analytical, graphical, and numerical methods. Linear ODEs with constant coefficients. Complex numbers and exponentials. Inhomogeneous equations: polynomial, sinusoidal, and exponential inputs. Oscillations, damping, resonance. Fourier series. Matrices, eigenvalues, eigenvectors, diagonalization. First order linear systems: normal modes, matrix exponentials, variation of parameters. Heat equation, wave equation. Nonlinear autonomous systems: critical point analysis, phase plane diagrams.

This class has 18.02 as a corequisite.

18.03 will be offered this semester (Fall 2017). It is instructed by A. Negut.

Lecture occurs 1:00 PM to 2:00 PM on Mondays, Wednesdays and Fridays in 54-100.

This class counts for a total of 12 credits.

You can find more information on MIT OpenCourseWare at the Differential Equations site or on the 18.03 Stellar site.

MIT 18.03 Differential Equations Related Textbooks
MIT 18.03 Differential Equations On The Web

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