Mathematics
MATH 2551
18.02: Lec 33-34, revision.
#multi #multivariable_calculus
MATH 2551
18.02: Lec 26-32, vector fields, line and surface integrals, and divergence and curl in 3D. Stocks' Theorem as the generalized Green's Theorem in 3D.
#multi #multivariable_calculus
MATH 2551
18.02: Lec 20-25, wrapping up double integral; kick starting triple integral and 3D coordinate systems.
#multi #multivariable_calculus
MATH 2552
18.03SC: Lec 4 Direct/inverse substitutions & app. in solving Bernoulli Equations, & Lec 5 Autonomous equations, leading to a discussion on critical points of a linear DE.
#diffeq #differential_equations
MATH 2552
18.03SC: Lec 2 Numerical Methods (Euler's, RK2, RK4, etc.) & errors, & Lec 3 Solving eqn. in Standard Linear Form using integrating factors; Unit I, Conventions & Basic DE's (to do: Problem Set Part I, Problem Set Part II)
#diffeq #differential_equations
MATH 2551 - Preparation
A overview of the course content.
#multi #multivariable_integration
MATH 2552 - Preparation
A overview of the course content.
MIT OCW 18.03 Lecture 1: First-order ODE's, its geometric view (direction field, line elements; isocline; & integral curve, non-crossing & non-tangent by existence & uniqueness theorem, & their relevance to the solutions)
#diffeq #differential_equations