9/19/2023 0 Comments Module 12 geometric sequences math![]() Multiple integrals, change of variables, line integrals, surface integrals. Vector fields, gradient, curl, divergence. Parametrized curves, arc length, curvature, torsion. Functions of several variables, continuity, differentiability, derivative. Vector algebra, dot product, matrices, determinant. Topics as in 18.02 but with more focus on mathematical concepts. Lecture: TR1,F2 ( 4-370) Recitation: MW1 ( 2-147) or MW2 ( 2-147) +finalĬalculus of several variables. Second half of 18.02A can be taken either during IAP (daily lectures) or during the second half of the Spring term it covers the remaining material in 18.02.Ĭredit cannot also be received for 18.02, 18.02A, CC.1802, ES.1802, ES.182A Lecture: TBA Recitation: MW9 (BEGINS OCT 23) ( 2-142) or MW10 (BEGINS OCT 23) ( 2-142) or MW11 (BEGINS OCT 23) ( 2-143) or MW12 (BEGINS OCT 23) ( 2-143, 2-255) or MW1 (BEGINS OCT 23) ( 2-143) or MW2 (BEGINS OCT 23) ( 2-136) or MW3 (BEGINS OCT 23) ( 2-136) +finalįirst half is taught during the last six weeks of the Fall term covers material in the first half of 18.02 (through double integrals). 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. Scalar functions of several variables: partial differentiation, gradient, optimization techniques. Vector-valued functions of one variable, space motion. ![]() Vector algebra in 3-space, determinants, matrices. Prerequisites: one year of high-school calculus or the equivalent, with a score of 5 on the AB Calculus test (or the AB portion of the BC test, or an equivalent score on a standard international exam), or equivalent college transfer credit, or a passing grade on the first half of the 18.01 advanced standing exam.Ĭredit cannot also be received for 18.022, 18.02A, CC.1802, ES.1802, ES.182A Six-week review of one-variable calculus, emphasizing material not on the high-school AB syllabus: integration techniques and applications, improper integrals, infinite series, applications to other topics, such as probability and statistics, as time permits. Prereq: Knowledge of differentiation and elementary integrationĬredit cannot also be received for 18.01, CC.1801, ES.1801, ES.181AĮnds Oct 20. Infinite series: geometric, p-harmonic, simple comparison tests, power series for some elementary functions. Applications of integration to geometry and science. Definite integral fundamental theorem of calculus. ![]() Indefinite integration separable first-order differential equations. Differentiation: definition, rules, application to graphing, rates, approximations, and extremum problems. Informal treatment of limits and continuity. Course 18 Home CI-M Subjects for Undergraduate Majors Evaluations (Certificates Required)Ĭredit cannot also be received for 18.01A, CC.1801, ES.1801, ES.181A
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |