Louisiana Tech University College of Engineering and Science

Slides:

Advertisements

Similar presentations

Differential Calculus (revisited):

Advertisements

Electric Forces and Electric Fields. Properties of Electric Charges Two types of charges exist They are called positive and negative Named by Benjamin.

1 Electromagnetism We want to apply the reaction theory developed in the first few lectures to electronuclear interactions. It is worthwhile reviewing.

Chapter 16 – Vector Calculus 16.5 Curl and Divergence 1 Objectives:  Understand the operations of curl and divergence  Use curl and divergence to obtain.

Method to Use Conservations Laws in Fluid Flows…… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Mathematics of Reynolds Transport.

Notes 14 Poynting Theorem

PHY 042: Electricity and Magnetism

Chapter 12: Simulation and Modeling Invitation to Computer Science, Java Version, Third Edition.

College of Engineering and Science Louisiana Tech University College of Engineering and Science Using Item Analysis to Adjust Testing and Topical Coverage.

A Career in Physics and Astronomy Steven R. Spangler University of Iowa.

Notes 5 Poynting Theorem

1 April 14 Triple product 6.3 Triple products Triple scalar product: Chapter 6 Vector Analysis A B C + _.

1 Chapter 1 Circuit variables 1. Electrical Engineering : an overview. 2. The international system of units. 3. Circuit analysis : an overview. 4. Voltage.

Directors   Mark H. Holmes, Mathematics Chair   Robert L. Spilker, Biomedical Engineering Chair   Kenneth S. Manning, Links Technical Manager Rensselaer.

College of Engineering and Science Louisiana Tech University College of Engineering and Science Integrating Mathematics, Engineering and the Sciences in.

Technician License Course Chapter 2 Radio and Electronics Fundamentals Basic Electricity Hour-2.

Chapter 11 – Teaching and Learning with Technology in Mathematics and Science Instruction Cullen Byrne and Abby Harnack.

College of Engineering and Science Louisiana Tech University College of Engineering and Science Integrating Math with Other Disciplines (Panel contribution)

EE484: Mathematical Circuit Theory + Analysis Node and Mesh Equations By: Jason Cho

MA Day 55 – April 4, 2013 Section 13.3: The fundamental theorem for line integrals – Review theorems – Finding Potential functions – The Law of.

Today’s agenda: Electric potential of a charge distribution. You must be able to calculate the electric potential for a charge distribution. Equipotentials.

Workshop on Teaching Introductory Statistics Session 1: Planning A Conceptual Course Using Common Threads And Big Ideas, Part I: GAISE Recommendations.

College of Engineering and Science Louisiana Tech University College of Engineering and Science Connecting Mathematics with Engineering and the Sciences.

Graphical Toolbox For Enhancements in Operations Research Education Author: Ramzi Kesrouany Research Advisor: Dr. Nan Kong Department of Industrial & Management.

Lesson 2 How do electric circuits work?. Electric Circuits You know that electric circuits only work when the circuit is closed. OPEN.

Fundamentals of Electromagnetics for Teaching and Learning: A Two-Week Intensive Course for Faculty in Electrical-, Electronics-, Communication-, and Computer-

Complex numbers are defined around the number.

Flux Capacitor (Schematic)

Methods of Math. Physics Dr. E.J. Zita, The Evergreen State College Lab II Rm 2272, Winter wk 3, Thursday 20 Jan Electrostatics.

Today’s agenda: Magnetic Fields. You must understand the similarities and differences between electric fields and field lines, and magnetic fields and.

College of Engineering and Science Louisiana Tech University College of Engineering and Science Connecting Mathematics with Engineering and the Sciences.

AP Physics Day 1, 2013 Fill out the student information form Open your textbook and read “To the Student” on page XXX.

The integration of skills to solve real-world problems. Using education to make the world a better place. Science Technology Engineering Mathematics.

Also known as Gauss’ Theorem

CHAPTER 14 Vector Calculus Slide 2 © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 14.1VECTOR FIELDS 14.2LINE INTEGRALS.

Teaching Statistics with Developmental Math Mary Parker Austin Community College

13.1 Sequences. Definition of a Sequence 2, 5, 8, 11, 14, …, 3n-1, … A sequence is a list. A sequence is a function whose domain is the set of natural.

Fundamentals of Electromagnetics for Teaching and Learning: A Two-Week Intensive Course for Faculty in Electrical-, Electronics-, Communication-, and Computer-

SILVER OAK COLLEGE OF ENGG&TECH NAME:-KURALKAR PRATIK S. EN.NO: SUBJECT:- EEM GUIDED BY:- Ms. REENA PANCHAL THE STEADY STATE OF MAGNETIC.

1. 課程大綱 OUTLINE Line Integrals （曲線積分） Surface Integral （曲面積分） 2.

Chapter 12: Simulation and Modeling

Chapter 6 Vector Analysis

MAE 5130: VISCOUS FLOWS Lecture 2: Introductory Concepts

Integration in Vector Fields

MA 6251 MATHEMATICS-II . M.JAYAKUMAR ASSISTANT PROFESSOR

Electric potential of a charge distribution. Equipotentials.

Second Derivatives The gradient, the divergence and the curl are the only first derivatives we can make with , by applying twice we can construct.

Concrete, Representational, Abstract

Guidelines for Assessment and Instruction in Statistics Education

Magnetic Force on Moving Charged Particles.

A dipole in an external electric field.

Selection of A Suitable Branch of Mathematics for Thermofluids

Vector Calculus (Chapter 13)

16.3 Vector Fields Understand the concept of a vector field

Concrete, Representational, Abstract

TUTORIAL1 VECTOR ANALYSIS PROBLEM SET(2)

Properties of Gradient Fields

Chapter 6 Vector Analysis

Christopher Crawford PHY

Compendium CD of NRC Reports on Assessment of Student Learning

Development of Conservation Equations for A CV

Ildikó Perjési-Hámori Department of Mathematics

P.V.G’s College of Engineering, Nashik

Applied Electromagnetic Waves Notes 5 Poynting’s Theorem

Mathematics Quiz Next Class.

Electric potential of a charge distribution. Equipotentials.

Find the set of points (x, y) such that F(x, y) = 0 if F(x, y) = (r - 4)x, {image} , and r = |x|

DEPARTMENT OF PHYSICS GOVT.PG COLLEGE RAJOURI

Sketch the curve. {image}

Presented by: Ava Meredith, Seattle Central College

Presentation transcript:

Louisiana Tech University College of Engineering and Science Using MERLOT in Teaching – Math, Physics and Engineering Bernd S. W. Schröder Program of Mathematics and Statistics College of Engineering and Science

Presenter’s Goal Show how (MERLOT) applets can enhance instruction by Doing things a blackboard cannot Bridging the gap between traditional mathematics instruction and engineering and the sciences Supporting “mindful symbol manipulation” Will focus on vector fields as an example. College of Engineering and Science

Vector Fields Vector fields Gradient fields, physics Line integrals, work fundamental theorem Surface integrals, throughput College of Engineering and Science

Vector Fields on MERLOT Sketch and particle paths http://www.dartmouth.edu/~rewn/vector.html http://www.dartmouth.edu/~rewn/vector.html Interpretation as flow http://www.sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Flow/flow.html http://www.sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Flow/flow.html Behavior of particles in vector field: http://www.falstad.com/vector/ http://www.falstad.com/vector/ College of Engineering and Science

Surface Integrals Emphasis on throughput Visualization with fluids, electricity, magnetism Gauss’ Law College of Engineering and Science

Surface Integrals College of Engineering and Science

What the Applets Do and Don’t Do. Improve visualization Connect “abstract” mathematics to “real” applications Consequently they support “mindful symbol manipulation” Don’t: Remove the need for sometimes epic computations in vector analysis (nothing will, so nothing should) College of Engineering and Science