Course
General Information
| Course Id | MAT414013 |
| Course | Multivariable Calculus |
| Curriculum | S1 MATEMATIKA 2020 |
| Credit | 3 |
| Course Type | compulsory |
| Description | "Third semester of the standard 3-semester calculus sequence. Gives a thorough introduction to multivariable calculus and mathematical methods needed to understand real world problems involving quantities changing over time in two and three dimensions. Topics include vectors, lines, planes, curves, and surfaces in 3-space; limits, continuity, and differentiation of multivariable functions; gradient, chain rule, linear approximation, optimization of multivariable functions; double and triple integrals in different coordinate systems; vector fields and vector calculus in 2- and 3-space, line integrals, flux integrals, and integration theorems generalizing the Fundamental Theorem of Calculus (Green's theorem, Stokes' theorem and Gauss's theorem, also known as the divergence theorem). A solid knowledge of single-variable calculus and precalculus is essential: how to analyze and graph functions, how to compute and interpret derivatives, how to interpret, set up, and calculate definite integrals with speed and accuracy. The very fast pace means that solid grasp of the prerequisite material is especially important." |