Matematika

43 h

College Algebra Lectures with UMKCs Professor Richard Delaware, in association with UMKCs Video Based Supplemental Instruction Program.

30 h

Calculus 1/ Calc 1 with UMKCs Professor Richard Delaware, in association with UMKCs Video Based Supplemental Instruction Program

28 h

This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.

31 h

Differential equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time.

42 h

This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium Laplace equation and potential flow boundary-value problems minimum principles and calculus of variations Fourier series discrete Fourier transform convolution and applications.\r\nNote: This course was previously called \"Mathematical Methods for Engineers I.

25 h

This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods initial-value problems network flows and optimization.

11 h

This video series is a comprehensive course of study that presents effective finite element procedures for the linear analysis of solids and structures. The finite element method is the ideal tool for solving static and dynamic problems in engineering and the sciences. Linear analysis assumes linear elastic behavior and infinitesimally small displacements and strains. To establish appropriate models for analysis, it is necessary to become familiar with the finite element methods available.

19 h

In these videos, Professor K. J. Bathe, a researcher of world renown in the field of finite element analysis, builds upon the concepts developed in his previous video course on Linear Analysis. General nonlinear analysis techniques are presented by emphasizing physical concepts. The mathematical foundation of nonlinear finite element techniques is given in light of these physical requirements. A wide range of questions in engineering and the sciences can be addressed with these methods. Upon completion of the course, participants will be able to simulate and analyze problems such as: Large displacement collapse or buckling of structures, Progressive damage of structural components under high-temperature conditions, Stresses and strains of structures under severe earthquake loads, Accident conditions due to sudden overloads, Construction and repair of structures, Stability of underground openings

25 h

Introductory course covering basic principles of probability and statistical inference. Axiomatic definition of probability, random variables, probability distributions, expectation.

26 h

The Fourier transform is a tool for solving physical problems. In this course the emphasis is on relating the theoretical principles to solving practical engineering and science problems.