Discover emilstahl97/Multivariable-Calculus-SF1626 Open Source project

Stars
1
Language
Created almost 5 years ago
Updated almost 3 years ago

emilstahl97

There are no reviews yet. Be the first to send feedback to the community and the maintainers!

Euclidian n-space. Functions of several variables and vector-valued functions, including the following concepts: Graph, level curve, level surface. Limits and continuity, differentiability, partial derivatives, the chain rule, differentials. Tangent planes and linear approximation. Taylor’s Formula. Gradient and directional derivative. Jacobian matrix and Jacobian determinant. Invertibility and implicitly defined functions. Coordinate changes. Extreme-value problems. Multiple integrals. Line integrals and Green’s theorem. Flux integrals and the divergence theorem. Stokes’ theorem. Applications.

backblaze-docker

Shell

Envariabelanalys-SF1625

Function, function graph, domain, range. Increasing and decreasing functions, odd and even functions. Inverse functions. The class of elementary functions. Trigonometric functions, exponential and logarithmic functions. Power laws, logarithms. Limits, rules for calculating limits, standard limits. Continuity, theorems on continuous functions. Derivative, rules of differentiation, the mean value theorem, implicit differentiation, applications: rate of change, linear approximation, tangent, extreme value problems, sketching the graph of a function, l'Hôpital's rule. Taylor's formula with error estimates. Linear differential equations with constant coefficients and their applications. The Riemann integral, primitive functions, the fundamental theorem integral calcolus, variable substitution, integration by parts, partial fractions. Riemann sums, geometric and other applications of integrals, improper integrals, estimates and convergence. Paramterization of curves and arc length. Sequences and series, convergence criteria, the Cauchy integral test. Taylor series.

emilstahl97

Embedded-Electronics-IE1206

This course provides basic knowledge of circuit theory and electronics. It also provides knowledge of the various devices that can be found in a microcontroller and how these are supposed to be used.

Computer-Hardware-Engineering-IS1200

The course gives fundamental knowledge of computer organization, both from a hardware and software perspective.