# DEPARTMENT OF MATHEMATICS FACULTY OF ENGINEERING & TECHNOLOGY SRM UNIVERSITY

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 DEPARTMENT OF MATHEMATICS FACULTY OF ENGINEERING & TECHNOLOGY SRM UNIVERSITY MA 0142 MATHEMATICS-II Semester: II Academic Year: Lecture Scheme / Plan The objective is to impart the students of Engineering & Technology, the concepts of differential calculus, Integral calculus and three dimensional geometry for solving real world problems. The lesson plan has been formulated based on high quality learning outcomes and the expected outcomes are as follows Each subject must have a minimum of 56 hours, which in turn, 45 hours for lecture and rest of the hours for tutorials. The faculty has to pay more attention in insisting the students to have 95 % class attendance. Lect. No. Topics Learning Outcomes Cumulative UNIT -1 FUNCTION OF SEVERAL VARIABLES L1.1 Introduction to function of several variables L1.2 Partial Derivatives Definition and Examples Chain rule for function of several variables L1.3 Total Derivatives Differentiation of implicit functions L1.4 Homogeneous functions Euler s Theorem L1.5 Taylor s Expansion for function of two variables L1.6 Finding extreme values of the function of two variables Understanding the concepts of Functions of several variables, solving problems on Taylor s Expansion, Maxima and Minima of functions of two and three variables and Jacobians and able to apply the same for solving practical problems Hours L1.7 Method of Lagrangian multipliers 7 L1.8 Jacobians 8 L1.9 Properties of Jacobian 9 L1.10 Tutorial Page 1 of 5

2 UNIT 2 DIFFERENTIAL EQUATIONS L2.1 First order non-linear differential equations solvable for p L2.2 First order non-linear differential equations solvable for x L2.3 First order non-linear differential equations solvable for y L2.4 Clairaut s equations 14 L2.5 Ordinary Differential Equations Introduction Degree and Order of a differential Equation L2.6 To find complementary function for Homogeneous differential Equations depending on the nature of the auxiliary equation roots Understanding the concept of differential equations and able to apply the same to solve problems in engineering L2.7 Finding the particular integral equation Type-1 Type-2 17 L2.8 Finding the particular integral equation Type-3 Type-4 18 L2.9 Finding the particular integral equation Type-5 Type-6 19 L2.10 Solving Linear differential Equations variable coefficients- Euler s Type 20 L2.11 Solving Linear differential Equations variable coefficients- Lagrange s Type 21 L2.12 Method of variation of parameters 22 L2.13 Tutorial 23 Page 2 of 5

3 UNIT 3 MULTIPLE INTEGRALS L3.1 Introduction, Double Integration in Cartesian 24 L3.2 Double Integration in Cartesian L3.3 Problems in Cartesian Solving problems related to engineering using the concepts of Multiple Integrals L3.4 Double Integration in Polar 27 Describe applications of L Multiple Integrals to L3.6 Change of order of integration practical problems 29 L L3.8 Area as a double integral L3.9 Area as a double integral Triple integration in Cartesian coordinates L3.10 Triple integration in Cartesian coordinates L3.11 Tutorial 34 UNIT 4 VECTOR CALCULUS L4.1 Gradient, divergence, curl 35 L4.2 Solenoidal & irrotational field 36 L4.3 Vector Identities 37 L4.4 Directional derivatives Expected to understand 38 applications of Vector L4.5 Line Integrals 39 calculus in the field of L4.6 surface Integrals engineering. 40 L4.7 Volume Integrals 41 L4.8 Green s theorem and its applications L4.9 Gauss Divergence theorem and its applications L4.10 Stokes theorem and its applications L4.11 Tutorial 45 Page 3 of 5

4 UNIT-5 THREE DIMENSIONAL ANALYTIC GEOMETRY L5.1 Introduction to three dimensional analytical goemetry L5.2 Direction Cosines of a straight line L5.3 L5.4 L5.5 Direction ratios of a straight line Angle between two lines Projection of a line segment Applying concepts of 48 Analytical Geometry of three Dimensions to solve 49 practical problems 50 L5.6 Equation of a plane 51 L5.7 Equation of a plane through the line of intersection of two given planes 52 L5.8 Equation of a straight line 53 L5.9 Coplanar lines 54 L5.10 Skew lines and shortest distance between them 55 L5.11 Tutorial 56 REFERENCE BOOKS: 1. Dr. K. Ganesan, Dr. Sundarammal Kesavan, Prof. K. S. Ganapathy Subramaniyan and Dr. V. Srinivasan, Engineering Mathematics II, Gamma Publication, Revised Edition Grewal B.S, Higher Engg Maths, Khanna Publications, 38 th Edition. 3. Veerajan, T., Engineering Mathematics, Tata McGraw Hill Publishing Co., New Delhi, Dr.V.Ramamurthy & Dr. Sundarammal Kesavan, Engineering Mathematics Vol I&II Anuradha Publications, Revised Edition Kreyszig.E, Advanced Engineering Mathematics, 8 th edition, John Wiley & Sons. 6. Singapore, Kandasamy P etal. Engineering Mathematics, Vol.I & II (4 th revised edition), S.Chand &Co., New Delhi, Narayanan S., Manicavachagom Pillay T.K., Ramanaiah G., Advanced Mathematics for Engineering students, Volume I & II (2 nd edition), S. Viswanathan Printers and Publishers, Page 4 of 5

5 9. Venkataraman M.K., Engineering Mathematics Vol. III (13 th edition), National Publishing Co., Chennai,1998. Web Resources: ` Cycle test 1 scheduled on: Cycle test 2 scheduled on: Model Exam scheduled on: Last working day: Internal Marks Total: 50 Split up: Cycle Test 1: 10 Marks Model Exam: 20 Marks Cycle Test 2: 10 Marks ` Surprise Test: 5 Marks Attendance: 5 Marks Prepared by: Mr. M. Balaganesan Assistant Professor (O.G) Mr. J.Sasikumar Assistant Professor (S.G) Course coordinator (MA0142) Prof. K. Ganesan, Ph. D., Professor& Head Page 5 of 5

### SRI RAMAKRISHNA INSTITUTE OF TECHNOLOGY COIMBATORE-10

SRI RAMAKRISHNA INSTITUTE OF TECHNOLOGY COIMBATORE-0 (Approved by AICTE, New Delhi & Affiliated to Anna University) DEPARTMENT OF SCIENCE AND HUMANITIES Subject Code & Title MA65 & MATHEMATICS - I L T

### L T P C MA6151 & Mathematics I & Title

SRI RAMAKRISHNA INSTITUTE OF TECHNOLOGY COIMBATORE-0 (Approved by AICTE, New Delhi & Affiliated to Anna University) DEPARTMENT OF SCIENCE AND HUMANITIES Course Code L T P C MA65 & Mathematics I & Title

### UNIVERSITY OF PUNE, PUNE BOARD OF STUDIES IN MATHEMATICS S.Y. B. Sc. (MATHEMATICS) SYLLABUS. S.Y.B.Sc. MT:211 Linear Algebra MT:221

UNIVERSITY OF PUNE, PUNE 411007 BOARD OF STUDIES IN MATHEMATICS S.Y. B. Sc. (MATHEMATICS) SYLLABUS S.Y.B.Sc Paper I Paper II Semester-I Calculus of Several Variables A) : Differential Equations Semester-II

### MATHEMATICS. Units Topics Marks I Relations and Functions 10

MATHEMATICS Course Structure Units Topics Marks I Relations and Functions 10 II Algebra 13 III Calculus 44 IV Vectors and 3-D Geometry 17 V Linear Programming 6 VI Probability 10 Total 100 Course Syllabus

### MEAN VALUE THEOREMS FUNCTIONS OF SINGLE & SEVERAL VARIABLES

MATHEMATICS-I MEAN VALUE THEOREMS FUNCTIONS OF SINGLE & SEVERAL VARIABLES I YEAR B.TECH By Y. Prabhaker Reddy Asst. Professor of Mathematics Guru Nanak Engineering College Ibrahimpatnam, Hyderabad. Name

### Engineering Mathematics

Thoroughly Revised and Updated Engineering Mathematics For GATE 2017 and ESE 2017 Prelims Note: ESE Mains Electrical Engineering also covered Publications Publications MADE EASY Publications Corporate

### MULTIVARIABLE CALCULUS, LINEAR ALGEBRA, AND DIFFERENTIAL EQUATIONS

T H I R D E D I T I O N MULTIVARIABLE CALCULUS, LINEAR ALGEBRA, AND DIFFERENTIAL EQUATIONS STANLEY I. GROSSMAN University of Montana and University College London SAUNDERS COLLEGE PUBLISHING HARCOURT BRACE

### MATHEMATICAL ANALYSIS

MATHEMATICAL ANALYSIS S. C. Malik Savita Arora Department of Mathematics S.G.T.B. Khalsa College University of Delhi Delhi, India JOHN WILEY & SONS NEW YORK CHICHESTER BRISBANE TORONTO SINGAPORE Preface

### pharmaceutical organic chemistry II (PC203)

Quality Assurance Unit Course Specification Assiut University Department of Faculty of Pharmacy pharmaceutical organic chemistry II (PC203) Programme(s) on which the course is given: B. Sc. in pharmaceutical

### VEER NARMAD SOUTH GUJARAT UNIVERSITY, SURAT. SYLLABUS FOR B.Sc. (MATHEMATICS) Semester: I, II Effective from December 2013

Semester: I, II Effective from December 2013 Semester Paper Name of the Paper Hours Credit Marks I II MTH-101 Trigonometry 3 3 MTH-102 Differential Calculus 3 3 MTH-201 Theory of Matrices 3 3 MTH-202 Integral

### Elements of Vector Calculus : Scalar Field & its Gradient

Elements of Vector Calculus : Scalar Field & its Gradient Lecture 1 : Electromagnetic Theory Professor D. K. Ghosh, Physics Department, I.I.T., Bombay Introduction : In this set of approximately 40 lectures

### Lahore University of Management Sciences. MATH 210 Introduction to Differential Equations

MATH 210 Introduction to Differential Equations Fall 2016-2017 Instructor Room No. Office Hours Email Telephone Secretary/TA TA Office Hours Course URL (if any) Ali Ashher Zaidi ali.zaidi@lums.edu.pk Math.lums.edu.pk/moodle

### Introduction and Vectors Lecture 1

1 Introduction Introduction and Vectors Lecture 1 This is a course on classical Electromagnetism. It is the foundation for more advanced courses in modern physics. All physics of the modern era, from quantum

### Chapter 2 - Vector Algebra

A spatial vector, or simply vector, is a concept characterized by a magnitude and a direction, and which sums with other vectors according to the Parallelogram Law. A vector can be thought of as an arrow

### example consider flow of water in a pipe. At each point in the pipe, the water molecule has a velocity

Module 1: A Crash Course in Vectors Lecture 1: Scalar and Vector Fields Objectives In this lecture you will learn the following Learn about the concept of field Know the difference between a scalar field

### Elements of Vector Calculus : Line and Surface Integrals

Elements of Vector Calculus : Line and Surface Integrals Lecture 2: Electromagnetic Theory Professor D. K. Ghosh, Physics Department, I.I.T., Bombay In this lecture we will talk about special functions

### Bergen Community College Division of Math, Science and Technology Department of Physical Sciences. Course Syllabus PHY 294 Engineering Mechanics

Bergen Community College Division of Math, Science and Technology Department of Physical Sciences Course Syllabus PHY 294 Engineering Mechanics Semester and year: Course Number: Meeting Times and Locations:

### Vector analysis and vector identities by means of cartesian tensors

Vector analysis and vector identities by means of cartesian tensors Kenneth H. Carpenter August 29, 2001 1 The cartesian tensor concept 1.1 Introduction The cartesian tensor approach to vector analysis

### ISTE -SRINIVASA RAMANUJAN MATHEMATICAL COMPETITIONS (SRMC )

ISTE -SRINIVASA RAMANUJAN MATHEMATICAL COMPETITIONS-2015-16 (SRMC-2015-16) Instruction Manual INDIAN SOCIETY FOR TECHNICAL EDUCATION Shaheed Jeet Sing Marg, near Katwaria Sarai, New Delhi 110 016 Tel:

### Page 1 of 5 Printed: 2/4/09

Course Goal: CHEN 205 - Chemical Engineering Thermodynamics I, Credit 3 (3-0) Spring 2009, TuTh 9:35 10:50, Brown 102 (a) To introduce students to the fundamental concepts and laws of thermodynamics; and

### ECE 3800 Probabilistic Methods of Signal and System Analysis

ECE 3800 Probabilistic Methods of Signal and System Analysis Dr. Bradley J. Bazuin Western Michigan University College of Engineering and Applied Sciences Department of Electrical and Computer Engineering

### MTH 173 Calculus with Analytic Geometry I and MTH 174 Calculus with Analytic Geometry II

MTH 173 Calculus with Analytic Geometry I and MTH 174 Calculus with Analytic Geometry II Instructor: David H. Pleacher Home Phone: 869-4883 School Phone: 662-3471 Room: 212 E-Mail Address: Pleacher.David@wps.k12.va.us

### UNIVERSITY OF NAIROBI

UNIVERSITY OF NAIROBI SCHOOL OF ENGINEERING DEPARTMENT OF ENVIRONMENTAL & BIOSYSTEMS ENGINEERING FEB 423- Heat and Mass Transfer (60 hrs) LECTURE: PRACTICALS: LECTURE THEATRE Friday 9:00 am to 1:00 pm

### SYLLABUS of the course MATHEMATICAL METHODS FOR EXPERIMENTAL SCIENCE

SYLLABUS of the course MATHEMATICAL METHODS FOR EXPERIMENTAL SCIENCE Bachelor in Computer Science and Engineering, University of Bolzano-Bozen, a.y. 2017-2018 Lecturer: LEONARDO RICCI (last updated on

### Calculus Graphical, Numerical, Algebraic 2012

A Correlation of Graphical, Numerical, Algebraic 2012 To the Advanced Placement (AP)* AB/BC Standards Grades 9 12 *Advanced Placement, Advanced Placement Program, AP, and Pre-AP are registered trademarks

### Astronomy 001 Online SP16 Syllabus (Section 8187)

Astronomy 001 Online SP16 Syllabus (Section 8187) Instructor: Elizabeth Bell Email (best way to contact me): bellea@wlac.edu Classroom: online Office Hours: online by appointment Prerequisite: None REQUIRED:

### CHEM 333 Spring 2016 Organic Chemistry I California State University Northridge

CHEM 333 Spring 2016 Organic Chemistry I California State University Northridge Lecture: Instructor: Thomas Minehan Office: Science 2314 Office hours: MW 12:00-1:00 pm E.mail: thomas.minehan@csun.edu Class

### PARTIAL DIFFERENTIAL EQUATIONS

MATHEMATICAL METHODS PARTIAL DIFFERENTIAL EQUATIONS I YEAR B.Tech By Mr. Y. Prabhaker Reddy Asst. Professor of Mathematics Guru Nanak Engineering College Ibrahimpatnam, Hyderabad. SYLLABUS OF MATHEMATICAL

### B.Tech. (Full Time) - Nanotechnology Curriculum & Syllabus Volume I

B.Tech. (Full Time) - technology Curriculum & Syllabus 2013 2014 Volume I (all courses except open electives) FACULTY OF ENGINEERING AND TECHNOLOGY SRM UNIVERSITY SRM NAGAR, KATTANKULATHUR 603 203 STUDENT

### Process Fluid Mechanics

Process Fluid Mechanics CENG 2220 Instructor: Francesco Ciucci, Room 2577A (Lift 27-29), Tel: 2358 7187, email: francesco.ciucci@ust.hk. Office Hours: Tuesday 17:00-18:00 or by email appointment Teaching

### Faculty of Engineering, Mathematics and Science School of Mathematics

Faculty of Engineering, Mathematics and Science School of Mathematics GROUPS Trinity Term 06 MA3: Advanced Calculus SAMPLE EXAM, Solutions DAY PLACE TIME Prof. Larry Rolen Instructions to Candidates: Attempt

### STATE COUNCIL OF EDUCATIONAL RESEARCH AND TRAINING TNCF DRAFT SYLLABUS.

STATE COUNCIL OF EDUCATIONAL RESEARCH AND TRAINING TNCF 2017 - DRAFT SYLLABUS Subject :Mathematics Class : XI TOPIC CONTENT Unit 1 : Real Numbers - Revision : Rational, Irrational Numbers, Basic Algebra

### AP Calculus BC: Syllabus 3

AP Calculus BC: Syllabus 3 Scoring Components SC1 SC2 SC3 SC4 The course teaches Functions, Graphs, and Limits as delineated in the Calculus BC Topic The course teaches Derivatives as delineated The course

### Solving Systems of Linear and Quadratic Equations

9.5 Solving Systems of Linear and Quadratic Equations How can you solve a system of two equations when one is linear and the other is quadratic? ACTIVITY: Solving a System of Equations Work with a partner.

### A f = A f (x)dx, 55 M F ds = M F,T ds, 204 M F N dv n 1, 199 !, 197. M M F,N ds = M F ds, 199 (Δ,')! = '(Δ)!, 187

References 1. T.M. Apostol; Mathematical Analysis, 2nd edition, Addison-Wesley Publishing Co., Reading, Mass. London Don Mills, Ont., 1974. 2. T.M. Apostol; Calculus Vol. 2: Multi-variable Calculus and

### ELECTROMAGNETISM. Volume 2. Applications Magnetic Diffusion and Electromagnetic Waves ASHUTOSH PRAMANIK

ELECTROMAGNETISM Volume 2 Applications Magnetic Diffusion and Electromagnetic Waves ASHUTOSH PRAMANIK Professor Emeritus, College of Engineering, Pune Formerly of Corporate Research and Development Division,

### Mathematics for Physicists and Engineers

Mathematics for Physicists and Engineers Klaus Weltner Sebastian John Wolfgang J. Weber Peter Schuster Jean Grosjean Mathematics for Physicists and Engineers Fundamentals and Interactive Study Guide 2nd

### and Calculus and Vectors

and Calculus and Vectors Autograph is spectacular dynamic software from the UK that allows teachers to visualise many of the mathematical topics that occur in the Ontario Grade 12 CALCULUS and VECTORS

### Course Information Course Overview Study Skills Background Material. Introduction. CS 205A: Mathematical Methods for Robotics, Vision, and Graphics

Introduction CS 205A: Mathematical Methods for Robotics, Vision, and Graphics Doug James CS 205A: Mathematical Methods Introduction 1 / 16 Instructor Prof. Doug James Office: Gates 363 Telephone: (650)

### Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Monday / Thursday Sections. Fall '10.

Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Monday / Thursday Sections Fall 2010 All course materials are available on the RPI Learning Management System (LMS) website.

### ALGGEOM - Algebra and Geometry

Coordinating unit: Teaching unit: Academic year: Degree: ECTS credits: 2017 250 - ETSECCPB - Barcelona School of Civil Engineering 751 - DECA - Department of Civil and Environmental Engineering BACHELOR'S

### 31.1.1Partial derivatives

Module 11 : Partial derivatives, Chain rules, Implicit differentiation, Gradient, Directional derivatives Lecture 31 : Partial derivatives [Section 31.1] Objectives In this section you will learn the following

### Mathematics portion of the Doctor of Engineering Qualifying Examination

Mathematics portion of the Doctor of Engineering Qualifying Examination. The exam will be made up by faculty members of the Department of Mathematics and Computer Science. Dr. Kathy Zhong ( zhongk@udmercy.edu

### NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York

NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York DEPARTMENT: Mathematics COURSE: MAT 3770 TITLE: DESCRIPTION: TEXT: Mathematical Modeling I - Optimization The study of different types

### Chemistry 534 Fall 2012 Advanced Organic Chemistry (Physical Organic: Structure and Mechanism)

Chemistry 534 Fall 2012 Advanced Organic Chemistry (Physical Organic: Structure and Mechanism) California State University Northridge Lecture: Instructor: Dr. Thomas Minehan Office: Science 2314 Office

### AP Calculus BC. Course Description:

AP Calculus BC Course Description: The two fundamental problems of Calculus include: 1) finding the slope of the tangent to a curve, determined by the derivative, and 2) finding the area of a region under

### Atm Sci 360 Synoptic Meteorology I Lecture: TR 9:30-10:45a, EMS E423 Lab: W 2-3:50p, EMS W434 Fall 2014

Atm Sci 360 Synoptic Meteorology I Lecture: TR 9:30-10:45a, EMS E423 Lab: W 2-3:50p, EMS W434 Fall 2014 Instructor: Prof. Clark Evans Contact: (414) 229-5116, evans36@uwm.edu, EMS E486 Office Hours: TR

### Index. B beats, 508 Bessel equation, 505 binomial coefficients, 45, 141, 153 binomial formula, 44 biorthogonal basis, 34

Index A Abel theorems on power series, 442 Abel s formula, 469 absolute convergence, 429 absolute value estimate for integral, 188 adiabatic compressibility, 293 air resistance, 513 algebra, 14 alternating

### Week 4: Calculus and Optimization (Jehle and Reny, Chapter A2)

Week 4: Calculus and Optimization (Jehle and Reny, Chapter A2) Tsun-Feng Chiang *School of Economics, Henan University, Kaifeng, China September 27, 2015 Microeconomic Theory Week 4: Calculus and Optimization

Electromagnetic Field Theory 2nd Year EE Students Prof. Dr. Magdi El-Saadawi www.saadawi1.net saadawi1@gmail.com 2015/2016 1 Contents Chapter 1 Introduction and Course Objectives Chapter 2 Vector Algebra

### LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK DEPARTMENT OF MATHEMATICS, ENGINEERING AND COMPUTER SCIENCE

LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK DEPARTMENT OF MATHEMATICS, ENGINEERING AND COMPUTER SCIENCE MAT 201 - CALCULUS I PRE-REQUISITES: MAT 200 (PRECALCULUS) OR ITS EQUIVALENT BY WAIVER

### Department of Civil and Environmental Engineering. CE Surveying

Department of Civil and Environmental Engineering CE 200 - Surveying Instructor: Dr. Laramie Potts Contact: email lpotts@njit.edu Office Hours in 2510 GITC: Wednesday 10:00 12:00 pm Classroom: CULM LEC

B.Sc. MATHEMATISC CODE DESCRIPTION PD/W EXAM CIA ESE TOTAL BSMT111 ALGEBRA BSMT112 DIFFERENTIAL CALCULUS BSMT113 CO-ORDINATE GEOMETRY IN 2 DIMENSIONS AND 3- DIMENSIONS BSMT211 DIFFERENTIAL EQUATIONS BSMT212

### Electric and Magnetic Forces in Lagrangian and Hamiltonian Formalism

Electric and Magnetic Forces in Lagrangian and Hamiltonian Formalism Benjamin Hornberger 1/26/1 Phy 55, Classical Electrodynamics, Prof. Goldhaber Lecture notes from Oct. 26, 21 Lecture held by Prof. Weisberger

### the Further Mathematics network

the Further Mathematics network www.fmnetwork.org.uk 1 the Further Mathematics network www.fmnetwork.org.uk Further Pure 3: Teaching Vector Geometry Let Maths take you Further 2 Overview Scalar and vector

### 9TH EDITION. George B. Thomas, Jr. Massachusetts Institute of Technology. Ross L. Finney. With the collaboration of Maurice D.

9TH EDITION Calculus and Analytic Geometry George B. Thomas, Jr. Massachusetts Institute of Technology Ross L. Finney With the collaboration of Maurice D. Weir Naval Postgraduate School ^ Addison-Wesley

### MME Heat and Mass Transfer COURSE PARTICULARS

MME 504 - Heat and Mass Transfer COURSE PARTICULARS Course Code: MME 504 Course Title: Heat and Mass Transfer No. of Units: 3 Course Duration: Two hours of theory and One hour of Tutorial per week for

### CALCULUS SEVENTH EDITION. Indiana Academic Standards for Calculus. correlated to the CC2

CALCULUS SEVENTH EDITION correlated to the Indiana Academic Standards for Calculus CC2 6/2003 2002 Introduction to Calculus, 7 th Edition 2002 by Roland E. Larson, Robert P. Hostetler, Bruce H. Edwards

### Numerical Analysis. Introduction to. Rostam K. Saeed Karwan H.F. Jwamer Faraidun K. Hamasalh

Iraq Kurdistan Region Ministry of Higher Education and Scientific Research University of Sulaimani Faculty of Science and Science Education School of Science Education-Mathematics Department Introduction

### Matlab GUI for Elementary Flows as an Educational Tool

Matlab GUI for Elementary Flows as an Educational Tool Gabriel A. Heredia Acevedo, Bernardo Restrepo, and Jonathan Holguino Polytechnic University of Puerto Rico Abstract Elementary flows in fluid mechanics

### Spring 2015 MECH 2311 INTRODUCTION TO THERMAL FLUID SCIENCES

Spring 2015 MECH 2311 INTRODUCTION TO THERMAL FLUID SCIENCES Course Description Instructor An introduction to basic concepts of thermodynamics and fluid mechanics to include properties, property relationships,

### Welcome to Physics 211! General Physics I

Welcome to Physics 211! General Physics I Physics 211 Fall 2015 Lecture 01-1 1 Physics 215 Honors & Majors Are you interested in becoming a physics major? Do you have a strong background in physics and

### Maple in Calculus. by Harald Pleym. Maple Worksheets Supplementing. Edwards and Penney. CALCULUS 6th Edition Early Transcendentals - Matrix Version

Maple in Calculus by Harald Pleym Maple Worksheets Supplementing Preface Edwards and Penney CALCULUS 6th Edition Early Transcendentals - Matrix Version These worksheets provide a comprehensive Maple supplement

### Calculus Graphical, Numerical, Algebraic 5e AP Edition, 2016

A Correlation of Graphical, Numerical, Algebraic 5e AP Edition, 2016 Finney, Demana, Waits, Kennedy, & Bressoud to the Florida Advanced Placement AB/BC Standards (#1202310 & #1202320) AP is a trademark

### B. Sc., DEGREE COURSE

SRI S.RAMASAMY NAIDU MEMORIAL COLLEGE SATTUR- 626 203 (An Autonomous institution affiliated to the Madurai Kamaraj University, Madurai) (Re-Accredited with Grade A by NAAC) B. Sc., DEGREE COURSE IN MATHEMATICS

### AS The Astronomical Universe. Prof. Merav Opher - Fall 2013

SYLLABUS AS 102 - The Astronomical Universe Prof. Merav Opher - Fall 2013 Course Catalog Summary: The birth and death of stars; red giants, white dwarfs, black holes; our galaxy, the Milky Way, and other

### COURSE LEARNING OUTCOMES / COMPETENCIES

CHE 415 Chemistry of Lanthanides and Actinides COURSE PARTICULARS Course Code: CHE 415 Course Title: Chemistry of Lanthanides and Actinides No. of Units: 1 Course Duration: One hour of theory per week

### AP Calculus BC. Functions, Graphs, and Limits

AP Calculus BC The Calculus courses are the Advanced Placement topical outlines and prepare students for a successful performance on both the Advanced Placement Calculus exam and their college calculus

### B.SC. III YEAR MATHEMATICS. Semester V & VI. Syllabus of. [ Effective from & onwards ]

S-[F] FACULTY OF SCIENCE[ NC] B.Sc. III Yr. Mathematics Semester-V & VI.doc - 1 - Syllabus of B.SC. III YEAR MATHEMATICS Semester V & VI [ Effective from 2011-12 & onwards ] 1 S-[F] FACULTY OF SCIENCE[

### Introduction to Calculus and Analysis. Volume II

Introduction to Calculus and Analysis Volume II Richard Courant Fritz John Introduction to Calculus and Analysis Volume II With the assistance of Albert A. Blank and Alan Solomon With 120 illustrations

### MULTIVARIABLE CALCULUS 61

MULTIVARIABLE CALCULUS 61 Description Multivariable Calculus is a rigorous second year course in college level calculus. This course provides an in-depth study of vectors and the calculus of several variables

### The Way of Analysis. Robert S. Strichartz. Jones and Bartlett Publishers. Mathematics Department Cornell University Ithaca, New York

The Way of Analysis Robert S. Strichartz Mathematics Department Cornell University Ithaca, New York Jones and Bartlett Publishers Boston London Contents Preface xiii 1 Preliminaries 1 1.1 The Logic of

### Chemistry 565 / 665 BIOPHYSICAL CHEMISTRY. - Spring

Chemistry 565 / 665 BIOPHYSICAL CHEMISTRY - Spring 2003 - LECTURE: LECTURER: OFFICE HOURS: 9:55 10:45 a.m. MTRF, B383 Chemistry Prof. Silvia Cavagnero Office: 8108 New Chemistry Building (will be 5341

### THERMODYNAMICS (Date of document: 8 th March 2016)

THERMODYNAMICS (Date of document: 8 th March 2016) Course Code : MEHD214 Course Status : Core Level : Diploma Semester Taught : 3 Credit : 4 Pre-requisites : None Assessments : Computerized homework 20

### 6.3. MULTIVARIABLE LINEAR SYSTEMS

6.3. MULTIVARIABLE LINEAR SYSTEMS What You Should Learn Use back-substitution to solve linear systems in row-echelon form. Use Gaussian elimination to solve systems of linear equations. Solve nonsquare

### ECE 3800 Probabilistic Methods of Signal and System Analysis

ECE 3800 Probabilistic Methods of Signal and System Analysis Dr. Bradley J. Bazuin Western Michigan University College of Engineering and Applied Sciences Department of Electrical and Computer Engineering

### Created by T. Madas VECTOR PRACTICE Part B Created by T. Madas

VECTOR PRACTICE Part B THE CROSS PRODUCT Question 1 Find in each of the following cases a) a = 2i + 5j + k and b = 3i j b) a = i + 2j + k and b = 3i j k c) a = 3i j 2k and b = i + 3j + k d) a = 7i + j

### 39.1 Absolute maxima/minima

Module 13 : Maxima, Minima Saddle Points, Constrained maxima minima Lecture 39 : Absolute maxima / minima [Section 39.1] Objectives In this section you will learn the following : The notion of absolute

### ENVIRONMENT AND NATURAL RESOURCES 3700 Introduction to Spatial Information for Environment and Natural Resources. (2 Credit Hours) Semester Syllabus

ENVIRONMENT AND NATURAL RESOURCES 3700 Introduction to Spatial Information for Environment and Natural Resources COURSE INSTRUCTOR: Dr. Kris Jaeger Assistant Professor 359 Kottman Hall (Mondays and Tuesdays)

### CCHEMISTRY 366. Inorganic Chemistry with Emphasis on Bioinorganic, Medicinal & Materials Chemistry

CCHEMISTRY 366 Inorganic Chemistry with Emphasis on Bioinorganic, Medicinal & Materials Chemistry Instructor: North Building Office Hours: to be decided by class, probably Tuesday after class or by appointment.

### MATHEMATICS FOR ECONOMISTS. An Introductory Textbook. Third Edition. Malcolm Pemberton and Nicholas Rau. UNIVERSITY OF TORONTO PRESS Toronto Buffalo

MATHEMATICS FOR ECONOMISTS An Introductory Textbook Third Edition Malcolm Pemberton and Nicholas Rau UNIVERSITY OF TORONTO PRESS Toronto Buffalo Contents Preface Dependence of Chapters Answers and Solutions

### NucE 497A RAMP Class #1

1 COURSE OBJECTIVES This course is designed as an intensive course providing an introduction to nuclear engineering (NucE) for graduate students with non-nuce background and to returning students. After

### Get started [Hawkes Learning] with this system. Common final exam, independently administered, group graded, grades reported.

Course Information Math 095 Elementary Algebra Placement No placement necessary Course Description Learning Outcomes Elementary algebraic topics for students whose mathematical background or placement

### Fundamentals of Engineering (FE) Exam Mathematics Review

Fundamentals of Engineering (FE) Exam Mathematics Review Dr. Garey Fox Professor and Buchanan Endowed Chair Biosystems and Agricultural Engineering October 16, 2014 Reference Material from FE Review Instructor

### Physics 610: Electricity & Magnetism I

Physics 610: Electricity & Magnetism I [i.e. relativistic EM, electro/magneto-(quasi)statics] [lin12.triumph.ca] [J-lab accelerator] [ixnovi.people.wm.edu] [Thywissen group, U. of Toronto] [nanotechetc.com]

### WHITE NOISE APPROACH TO FEYNMAN INTEGRALS. Takeyuki Hida

J. Korean Math. Soc. 38 (21), No. 2, pp. 275 281 WHITE NOISE APPROACH TO FEYNMAN INTEGRALS Takeyuki Hida Abstract. The trajectory of a classical dynamics is detrmined by the least action principle. As

### Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Monday / Thursday Sections. Fall '17.

Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Monday / Thursday Sections Fall 2017 All course materials are available on the RPI Learning Management System (LMS) website.

### MATH Precalculus (Revised August 2014)

MATH 41 - Precalculus (Revised August 014) Course Description: Precalculus. Topics include elementary teory of functions and equations, analytic geometry, vectors, introductory logic, matematical induction,

### CAMI Education linked to CAPS: Mathematics

- 1 - The main topics in the Curriculum: NUMBER TOPIC 1 Functions 2 Number patterns, sequences and series 3 Finance, growth and decay 4 Algebra 5 Differential Calculus 6 Probability 7 Euclidian geometry

### CHE 717, Chemical Reaction Engineering, Fall 2016 COURSE SYLLABUS

Page 1 of 5 CHE 717, Chemical Reaction Engineering, Fall 2016 COURSE SYLLABUS engineeringonline.ncsu.edu/onlinecourses/coursehomepages/fall-2016/che717.html Instructor: Prof. Jason Haugh 3100 Partners

### Quantitative Techniques (Finance) 203. Polynomial Functions

Quantitative Techniques (Finance) 03 Polynomial Functions Felix Chan October 006 Introduction This topic discusses the properties and the applications of polynomial functions, specifically, linear and

### LINEAR ALGEBRA: M340L EE, 54300, Fall 2017

LINEAR ALGEBRA: M340L EE, 54300, Fall 2017 TTh 3:30 5:00pm Room: EER 1.516 Click for printable PDF Version Click for Very Basic Matlab Pre requisite M427J Instructor: John E Gilbert E mail: gilbert@math.utexas.edu

### Pre-requisites: Concepts of Engineering mechanics, basic physics, Newton s Laws

KLS s Gogte Institute of Technology, Udyambag, Belagavi Course Document Academic Year: 2016-17 Department of Mechanical Engineering Course Title : FLUID MECHANICS Credits: 04 Course Code : 15ME36/46 L:T:P

### Gradient, Divergence and Curl in Curvilinear Coordinates

Gradient, Divergence and Curl in Curvilinear Coordinates Although cartesian orthogonal coordinates are very intuitive and easy to use, it is often found more convenient to work with other coordinate systems.

### Course Text. Course Description. Course Objectives. Course Prerequisites. Important Terms. StraighterLine Introductory Algebra

Introductory Algebra Course Text Dugopolski, Mark. Elementary Algebra, 6th edition. McGraw-Hill, 2009. ISBN 9780077224790 [This text is available as an etextbook at purchase or students may find used,

### PS 101: Introductory Astronomy Fall 2014

PS 101: Introductory Astronomy Fall 2014 Lecture: Lab: Tues./Thurs. 12:00 pm - 1:15 pm, S166 Tues. 4:00 pm - 5:50 pm, S166 Instructor: Dr. Jon M. Saken Office: S178 (Science Bldg.) Phone: 696-2753 E-mail:

### ENGI Partial Differentiation Page y f x

ENGI 344 4 Partial Differentiation Page 4-0 4. Partial Differentiation For functions of one variable, be found unambiguously by differentiation: y f x, the rate of change of the dependent variable can