Mathematics for Engineering Students: Plane and Solid Geometry

Plane and Solid Geometry

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As abstract thinking progresses, geometry becomes much more about analysis and reasoning. Throughout high school there is a focus on analyzing properties of two- and three-dimensional shapes, reasoning about geometric relationships, and using the coordinate system.

Mathematics for engineering students ( edition) | Open Library

The main concepts in geometry are lines and segments , shapes and solids including polygons , triangles and angles , and the circumference of a circle. In Euclidean geometry, angles are used to study polygons and triangles. As a simple description, the fundamental structure in geometry—a line—was introduced by ancient mathematicians to represent straight objects with negligible width and depth.

Plane geometry studies flat shapes like lines, circles, and triangles, pretty much any shape that can be drawn on a piece of paper. Share Flipboard Email. Deb Russell is a school principal who has taught mathematics at all levels. She is also a freelance writer with more than 14 years of experience. Topics focus on methods of gathering, presenting, and analyzing data.

A graphing calculator is required for this class. Prerequisite: Pre-Calculus prior to senior year. AP Calculus is taught as a college level Calculus 1 course. This course involves: limits, differentiation of algebraic functions with applications, logarithmic and exponential functions, anti-differentiation, the definite integral with applications, and techniques of integration. Students are expected to take the Advanced Placement exam in May. Students who pass the exam can receive college credit at most colleges and universities in the nation.

The 1st semester will count as an elective credit for graduation and serve as a review of necessary math concepts to help the student be successful in the 2nd semester of the course. Skip to Main Content. JHS Math Department. Carpenter k Jacob Denault Algebra 2 and Geometry. Denault k Arnold Falk Geometry and Integrated Math 3. Falk k Meier k Marty Hochhalter Algebra 1 and Consumer Math.

Computing with geometry as an undergraduate course: A three-year experience, Proceedings of the 32nd Technical Symposium on Computer Science Education. A dynamic-symbolic interface for geometric theorem discovery. Foundations of Dynamic Geometry, PhD. Zhu, C.

Edutainment, LNCS , pp. Pythagoras: An interactive environment for plane geometry. An algorithm for automatic checking of exercises in a dynamic geometry system: iGeom. Peer interactions in a computer lab: Reflections on results of a case study involving web-based dynamic geometry sketches. The Journal of Mathematical Behavior, 24, pp.

Major branches of geometry

What can digital technologies take from and bring to research in mathematics education? Proceedings of the Virtual Reality Conference, pp. His research is focused in computer aided design, curves and surfaces and computer graphics. His research is focused in computational fluids mechanics, multifractals and computer graphics. Her research lines are GIS, axial maps, multifractals and computer graphics. Services on Demand Article. English pdf Article in xml format Article references How to cite this article Automatic translation Send this article by e-mail.

Introduction In technical drawing, geometric construction constitutes one of the fundamentals for engineering students. Methods PGDT has been developed under the Windows operating system WOS for the purpose of providing the user with a visual, practical and easy-to-use tool for the execution of different Graphical methods.

These aspects have been developed in the following contents included in PGDT: Learning of drawing tool handling by means of videos that explain step by step the use of the ruler-and-compass.

Theoretical description of each topic: the on-page program structure allows the user to access at each moment to its contents. The subject matter is clearly ordered in chapters, sections, subsections and methods.

Each part is explained on the blackboard, where the user is able to visualize and control the method's execution. Practices and exercises: These permit the improvement of theoretical and practical knowledge interactively using a dynamic data input. Application structure PGDT has two levels: interface and processing, with three and two independents units, respectively. Those levels are described as follows: Interface level including the following units i Application management: used for controlling user operations such as application closing, resizing and restoring.

At this level, three windows are available to the user: main, indexes and video windows.

Plane and Solid Geometry

These are described below. Processing level consisting of the next units i Operations: for videos visualization and lesson-method explanation. Interface level PGDT interface has three windows. Main window. Window frame. The functions of this application facilitate window handling. It is composed of: Title Bar, Menu access maximization, minimization and restoration of window, movement and resizing and application closing , and fast access to main functions of WOS menu. Includes the following submenus: File Print and Save in RTF type for text and BMP for blackboard graphics , Draw this allows graphic object selection , Edition to copy, cut, paste or delete the graphic objects on the blackboard , Display with an index showing all the lessons and methods , Videos, Zoom, Rules, Grid, Help on-line and References.

Toolbar I. Direct access to: forward and backward, index, video, saving, printing, copying, pasting, cutting, deleting, showing grids and rules on the blackboard, graphic object display and zoom tools.

This is rectangular with the origin of the coordinates in the top left hand corner. Blackboard is used for drawing and showing results. Theory and Property manager. Shows theory contents related to the selected method and properties of graphic elements on the blackboard. It is possible to modify properties and geometric parameters of input graphic elements.

Explainer: The basics of geometry

Theory shows the text, including explicative steps. Property shows characteristics of selected graphic objects, coordinates, color and nomenclature used. Toolbar II. This is divided into two sections. In the right hand section the following actions are found: blackboard cleaning, starting method, "backward" and "forward", and ending method and index. Console message. This shows messages when user needs to put data on the blackboard. Status bar. This shows the actions in progress.

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