MTH5201 Mathematical Methods in Science and Engineering 1 Fall 2014 Syllabus
|
|
- Lynette Allen
- 5 years ago
- Views:
Transcription
1 MTH5201 Mathematical Methods in Science and Engineering 1 Fall 2014 Syllabus Instructor: Dr. Aaron Welters; O ce: Crawford Bldg., Room 319; Phone: (321) ; awelters@fit.edu O ce hours: Mon. 2pm-5pm, Wed. 4pm-5pm, and by appointment. Course webpage: html Course description: MTH5201 (3 credits) Fourier series and their convergence properties; Sturm-Liouville eigenfunction expansion theory; Bessel and Legendre functions; solution of heat, wave and Laplace equations by separation of variables in Cartesian coordinates. Prerequisites: MTH 2001, MTH Lecture time: Mon. and Wed. at 5pm-6:15pm in Crawford Bldg., Room 403. The course will run from Aug. 18, 2014 to Dec. 8, 2014 & the last day of class is Wed., Dec. 3. We have in total 29 days (14 Mondays, 15 Wednesdays) of lectures and exams (excluding the nal exam). Breaks and holidays are: Labor Day, Sept. 1 Mon.; Fall Break & Columbus Day, Oct. 13 Mon.; Thanksgiving break, Nov. 26 Wed.; Final Exams Week Dec. 8 Mon. & Dec. 11 Wed. Important note: Attendance at lectures is mandatory. A sign-up sheet will be passed around in each class. Course textbook: [EK11] Kreyszig, Erwin. Advanced Engineering Mathematics. 10th Ed., John Wiley & Sons, Note: We will cover parts of Chapters 2, 5, 11, and 12 of this textbook and supplement the material when necessary. Important note: The bookstore will not carry this book for this semester. Thus, you must purchase it elsewhere (such as through Amazon). I have placed one copy in Evans library on reserve for use by the whole class. Reference books: [HC07] Cheng, Hung. Advanced Analytic Methods in Applied Mathematics, Science, and Engineering. Boston, MA: Luban Press, [BO78] Bender, C. and Orszag, S. Advanced Mathematical Methods for Scientists and Engineers. New York, NY: McGraw-Hill, Reprinted by Springer-Verlag, New York, [CM95] Mei, C. C. Mathematical Analysis in Engineering. Cambridge, England: Cambridge University Press, [FB76] Hildebrand, F. B. Advanced Calculus for Applications. 2nd Ed., Prentice-Hall, Exams: There will be 3 exams the last of which is a comprehensive nal exam. The rst two exams are scheduled for Mon. Sept. 22 and Wed. Oct. 29, 5pm-6:15pm, Crawford Bldg., Room 403. The nal exam is Mon. Dec. 8, 6pm-8pm, Crawford Bldg., Room 1
2 403. Homework: Homework will consist of weekly problem sets which will be posted on the course webpage each Wed. by 11:59pm and due the following Wed. in class. Late problem sets are not accepted. See below for more details on this. Additionally, extra credit problem sets will occasionally be given out which can improve your homework scores. Grading Policy: Your grade will be based on 20% prob. sets + 40% midterms (20% each) + 40% nal. Your nal grade will be determined by your homework (including extra credit) after dropping your lowest homework score and by curving all nal scores of the exams. Drop dates: Aug. 29 Fri. last day to drop class with full tuition refund & without receiving a grade of W; Oct. 24 Fri. Last day to withdraw from class with a nal grade of W. Last day of classes: Dec. 3 Wed. The small print Collaboration policy: Independently of whether you collaborate or not, any homework submitted must be formulated by you in your own words. Word-by-word copying is strictly forbidden, and may result in a 0 point score for all concerned. Missed homeworks: If you have to miss a homework deadline for some valid reason, contact the lecturer. An attempt will then be made to deal with the matter satisfactorily. The arrangement will be con rmed by to you, which you should keep for your records. Do not count on anyone else to make such arrangements for you: you re in charge of getting things done. All such matters must be resolved before the last day of classes: no further changes to homework scores will be made after that. The same applies to midterm scores. Exams: Closed book, no notes allowed, and NO electronic devices will be allowed in the exams. Finally: The material covered in this class is great, make sure you stay on top of it and you will do very well!
3 MTH5201 Fall 2014 Syllabus I. Linear second-order ODEs: (1.5 lectures; review) Based on [EK11] Chap. 2, 1, 2, 4-6. Second-order linear ODEs; homogeneous vs. nonhomogeneous; superposition principle; initial value problem; basis of solutions; general solution; method of reduction of order. Euler-Cauchy equations and example of a boundary value problem of the electric potential eld between two concentric spheres. Existence and uniqueness theorem for initial value problems; linear independence of solutions and the Wronksian. HW Assign. 1; Due Date: 08/27/14; From [EK11]: Sec. 2.1, #11-19; Sec. 2.2, #1, 8, 13, 14, 16, 18, 24-26, 31-34; Sec. 2.4, #5-10; Sec. 2.5, #2, 3, 12, 13, 20; Sec. 2.6, #9-16; Sec. 2.9, #7, 14, 15. Complete solution to problem Sec. 2.5, #2 will be posted on course website after due date. II. Series solutions of ODEs and special functions including Bessel and Legendre functions: (8.5 lectures) Based on [EK11] Chap. 5, 1-5. Introduction to power series (radius of convergence, uniqueness of coe cients, operations on power series, power series for common elementary functions); on the existence of power series solutions (and their radius of convergence) to second-order linear ODEs in standard form with analytic coe cients; the power series method. Legendre s di erential equation; Legendre functions; recurrence relations (recursion formula); Legendre polynomials (including the generating function, Rodrigues s formula, and Bonnet s recursion). HW Assign. 2; Due Date: 09/03/14; From [EK11]: Sec. 5.1, #1-3, 6-8, 15-20; Sec. 5.2, #1-5, 10-12, 14, 15. Complete solution to problem Sec. 5.2, #2 will be posted on course website after due date. Regular and singular points of second-order linear ODEs; Frobenius method as an extended power series method, the indicial equation, and basis of solutions in the three cases depending on the di erence of the roots of the indicial equation; example using Euler-Cauchy equations as a special case. HW Assign. 3; Due Date: 09/10/14; From [EK11]: Sec. 5.3, #1-5, Complete solution to problem Sec. 5.3, #12 will be posted on course website after due date. Bessel s equation; Bessel functions of the rst kind (gamma function, series representation and coe cient formula, derivative recursions, Bessel functions of half-integer order as elementary functions); general solution of Bessel s equation for noninteger roots of indicial equation. HW Assign. 4; Due Date: 09/17/14; From [EK11]: Sec. 5.4, #2-7, 12-15, 19, 20. Extra credit #1 (to posted on course website). Complete solution to problem Sec. 5.4, #6 will be posted on course website after due date. Bessel functions of the second order; general solution of Bessel s equation for integer roots of indicial equation; Hankel functions. Assignment 5; Due Date: 10/01/14; From [EK11]: Sec. 5.4, #16-18; Sec. 5.5, #2, 4, 6-9, 11. Team project: Modeling a Vibrating Cable and solutions in terms of
4 Bessel functions of order zero. Complete solution to problem Sec. 5.5, #6 will be posted on course website after due date. III. Exam 1: Mon. Sept. 22, 5pm-6:15pm, Crawford Bldg., Room 403. Material covered: Cauchy-Euler equations; method of reduction of order; series solutions of ODEs and special functions including Legendre and Bessel functions up to and including HW Assign. 4. Practice exam 1 and solutions will be posted on course website before exam. IV. Fourier series and their convergence properties, Fourier integrals, and Sturm- Liouville eigenfunction expansion theory: (9 lectures) Based on [EK11] Chap. 11, 1-9. Periodic functions; trigonometric functions; orthogonality of the trigonometric system; Fourier series; Euler formulas for Fourier coe cients; representation theorem of periodic piecewise-smooth functions as Fourier series; even and odd functions; Fourier sine and cosine series; odd and even periodic extensions of functions and their Fourier series representation. HW Assign. 6; Due Date: 10/08/14; From [EK11]: Sec. 11.1, #7-9, 13, 15, 16, 21, 23; Sec. 11.2, #8-10, 19, Complete solution to problem Sec. 11.1, #16 will be posted on course website after due date. Periodic forced oscillations of (one-degree-of-freedom) spring-mass-damper systems and the analogy for RLC circuits; steady-state solutions using Fourier series; general solutions. HW Assign. 7; Due Date: 10/15/14; From [EK11]: Sec. 11.2, #26, 27, 29, 30; Sec. 11.3, #6-9, 13, 14, 17, 19. Complete solution to problem Sec. 11.3, #17 will be posted on course website after due date. Approximation by trigonometric polynomials; minimum square error; Bessel s inequality; Parseval s identity. Sturm-Liouville equation; Sturm-Liouville problems; eigenvalues and eigenfunctions; orthogonality of eigenfunctions; the trigonometric functions and Legendre polynomials as important examples. HW Assign. 8; Due Date: 10/22/14; From [EK11]: Sec. 11.4, #2, 4, 5, 7, 11; Sec. 11.5, #2, 5, 6, 8-10, 13, 14. Team project: Special functions and orthogonal polynomials the Chebyshev and Laguerre polynomials. Complete solution to problem Sec. 11.5, #5 will be posted on course website after due date. Generalized Fourier series; eigenfunction expansions; Fourier series, Fourier-Legendre series, and Fourier-Bessel series as important examples; Bessel s inequality and Parseval equality; mean square convergence and completeness. Fourier Integral (as limit of Fourier series as period becomes in nite); representation theorem of piecewise-smooth absolutely integrable functions as a Fourier integral; Fourier sine and cosine integrals; sine and laplace integrals. V. Exam 2: Wed. Oct. 29, 5pm-6:15pm, Crawford Bldg., Room 403. Material covered: Bessel functions of the second order and general solutions of Bessel s equation for integer roots of indicial equation; Fourier series and their convergence properties, Fourier integrals, and Sturm-Liouville eigenfunction expansion theory; material after exam 1 up to and including HW Assign. 8. Practice exam 2 and solutions posted on course website before exam.
5 VI. Solutions of heat, wave and Laplace equations by separation of variables in Cartesian coordinates: (8 lectures) Based on [EK11] Chap. 12, Second-order linear PDEs; homogeneous vs. nonhomogeneous; superposition principle; initial and boundary conditions. Physical derivation of the one-dimensional wave equation in modeling a vibrating string (both the continuum derivation and the multiscale derivation of a 1D lattice model in the limit). Solution of the one-dimensional wave equation; separation of variables; the Sturm- Liouville problem from the boundary conditions; eigenfunction expansion; solution of the initial value problem using Fourier series; physical interpretation as superposition of forward and backward traveling waves for zero intitial velocity. HW Assign. 9; Due Date: 11/12/14; From [EK11]: Sec. 12.1, #2, 3, 6, 7, 14, 16, 17; Sec. 12.3, #5, 7, 9, 11, 14. Complete solution to problem Sec. 12.3, #7 will be posted on course website after due date. Physical derivation of the heat equation in modeling heat ow from a body in space (via Gauss s theorem); the Laplacian. Solution of the one-dimensional heat equation; separation of variables; the Sturm- Liouville problem from the boundary conditions; eigenfunction expansion; solution of the initial value problem using Fourier series; physical interpretation. Steady two-dimensional heat problems and Laplace s equation (equation for the electrostatic potential); boundary value problems: Dirichlet, Neumann, and Robin problems. Solution of the Dirichlet problem in a rectangle; separation of variables; the Sturm- Liouville problem from the boundary conditions; eigenfunction expansion; solution of the boundary value problem using Fourier series. HW Assign. 10; Due Date: 11/19/14; From [EK11]: Sec. 12.6, #1, 5-7, 11-15, 18, 19, 21, 23. Complete solution to problem Sec. 12.6, #18 will be posted on course website after due date. Physical derivation of the two-dimensional wave equation in modeling a vibrating membrane (both the continuum derivation via the tensile force using Stokes theorem and the derivation as an Euler-Lagrange equation using a Lagrangian). Solution of the two-dimensional wave equation for a rectangular membrane; separation of variables; Helmholtz equation, the Sturm-Liouville problems from the boundary conditions; eigenfunction expansion; solution of the initial value problem using double Fourier series. HW Assign. 11; Due Date: 12/03/14; From [EK11]: Sec. 12.9, #4-6, 8, 11-13, Complete solution to problem Sec. 12.9, #19 will be posted on course website after due date. Extra credit #2 (to be posted on course website); Due Date and Time: 12/08/14 by 8pm. VII. Comprehensive Final Exam: Mon. Dec. 8, 6pm-8pm, Crawford Bldg., Room 403. Two part exam. Material covered in part I (new material): Generalized Fourier series; eigenfunction expansions; Fourier-Legendre series and Fourier-Bessel series; Solutions of heat, wave and Laplace equations by separation of variables in Cartesian coordinates; material after exam 2 up to and including HW Assign. 11. Material covered in part II
6 (older material): all material up to and including exam 2. Two practice exams (Exam A and B) with solutions posted on course website before exam.
Phys 631 Mathematical Methods of Theoretical Physics Fall 2018
Phys 631 Mathematical Methods of Theoretical Physics Fall 2018 Course information (updated November 10th) Instructor: Joaquín E. Drut. Email: drut at email.unc.edu. Office: Phillips 296 Where and When:
More informationSan Jose State University Department of Mechanical and Aerospace Engineering ME 230, Advanced Mechanical Engineering Analysis, Fall 2015
San Jose State University Department of Mechanical and Aerospace Engineering ME 230, Advanced Mechanical Engineering Analysis, Fall 2015 Instructor: Office Location: Younes Shabany TBD Telephone: (408)
More informationAND NONLINEAR SCIENCE SERIES. Partial Differential. Equations with MATLAB. Matthew P. Coleman. CRC Press J Taylor & Francis Croup
CHAPMAN & HALL/CRC APPLIED MATHEMATICS AND NONLINEAR SCIENCE SERIES An Introduction to Partial Differential Equations with MATLAB Second Edition Matthew P Coleman Fairfield University Connecticut, USA»C)
More informationImportant Dates. Non-instructional days. No classes. College offices closed.
Instructor: Dr. Alexander Krantsberg Email: akrantsberg@nvcc.edu Phone: 703-845-6548 Office: Bisdorf, Room AA 352 Class Time: Tuesdays and Thursdays 7:30 PM - 9:20 PM. Classroom: Bisdorf / AA 467 Office
More informationPARTIAL DIFFERENTIAL EQUATIONS and BOUNDARY VALUE PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS and BOUNDARY VALUE PROBLEMS NAKHLE H. ASMAR University of Missouri PRENTICE HALL, Upper Saddle River, New Jersey 07458 Contents Preface vii A Preview of Applications and
More informationNEW RIVER COMMUNITY COLLEGE DUBLIN, VIRGINIA COURSE PLAN
NEW RIVER COMMUNITY COLLEGE DUBLIN, VIRGINIA COURSE PLAN Course Number and Title: MTH 279 Ordinary Differential Equations Prepared by: Mathematics Department (Date) Approved by: (Dean) (Date) I. Course
More informationFOURIER SERIES, TRANSFORMS, AND BOUNDARY VALUE PROBLEMS
fc FOURIER SERIES, TRANSFORMS, AND BOUNDARY VALUE PROBLEMS Second Edition J. RAY HANNA Professor Emeritus University of Wyoming Laramie, Wyoming JOHN H. ROWLAND Department of Mathematics and Department
More informationCourse Content (visit for details)
Instructor: Dr. Alexander Krantsberg Email: akrantsberg@nvcc.edu Phone: 703-845-6548 Office: Bisdorf, Room AA-354 Class Time: Tuesdays, Thursdays 4:30 PM - 7:15 PM. Classroom: Bisdorf, AA 355 Office hours:
More informationLinear Partial Differential Equations for Scientists and Engineers
Tyn Myint-U Lokenath Debnath Linear Partial Differential Equations for Scientists and Engineers Fourth Edition Birkhäuser Boston Basel Berlin Tyn Myint-U 5 Sue Terrace Westport, CT 06880 USA Lokenath Debnath
More informationCourse Outline. Date Lecture Topic Reading
Course Outline Date Lecture Topic Reading Graduate Mathematical Physics Tue 24 Aug Linear Algebra: Theory 744 756 Vectors, bases and components Linear maps and dual vectors Inner products and adjoint operators
More informationWelcome to Math 257/316 - Partial Differential Equations
Welcome to Math 257/316 - Partial Differential Equations Instructor: Mona Rahmani email: mrahmani@math.ubc.ca Office: Mathematics Building 110 Office hours: Mondays 2-3 pm, Wednesdays and Fridays 1-2 pm.
More informationTyn Myint-U Lokenath Debnath. Linear Partial Differential Equations for Scientists and Engineers. Fourth Edition. Birkhauser Boston Basel Berlin
Tyn Myint-U Lokenath Debnath Linear Partial Differential Equations for Scientists and Engineers Fourth Edition Birkhauser Boston Basel Berlin Preface to the Fourth Edition Preface to the Third Edition
More informationImportant Dates. Non-instructional days. No classes. College offices closed.
Instructor: Dr. Alexander Krantsberg Email: akrantsberg@nvcc.edu Phone: 703-845-6548 Office: Bisdorf, Room AA 352 Class Time: Mondays and Wednesdays 12:30 PM - 1:45 PM. Classroom: Bisdorf / AA 354 Office
More informationLINEAR 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
More informationMATHEMATICS Differential Equations and Linear Algebra SYLLABUS Fall semester 2012
AHEAICS 2250-1 Differential Equations and Linear Algebra SYLLABUS all semester 2012 Lecture 2250-1 8:35-9:25 a.m. EB L 104 Instructor: office: telephone: email: Prof. Nick Korevaar LCB 204 801.581.7318
More informationFall 2016 Spring 2017
BE 603: Partial differential equations (Spring 2017) Instructor: TA: Andy Fan (fana@bu.edu) TBD Class: Time is TBD (Spring 2016 only) Recitation: Should be on Fri afternoons (Spring 2016 only) Office Hours:
More informationAS 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
More informationPHYS F212X FE1+FE2+FE3
Syllabus for PHYS F212X FE1+FE2+FE3 General Physics II College of Natural Science and Mathematics University of Alaska Fairbanks Fall 2016 (8/29/2016 to 12/14/2016) Course Information: PHYS F212X FE1+FE2+FE3
More informationCourse Name: Engineering Mathematics (2)
The University of Jordan Accreditation & Quality Assurance Center COURSE Syllabus Course Name: Engineering Mathematics (2) 1 Course title Engineering Mathematics (2) 2 Course number (0331302) Credit hours
More informationMath 1190/01 Calculus I Fall 2007
Math 1190/01 Calculus I Fall 2007 Instructor: Dr. Sean Ellermeyer, SC 24, (770) 423-6129 (Math dept: (770) 423-6327), email: sellerme@kennesaw.edu, Web Site: http://math.kennesaw.edu/~sellerme. Time and
More informationDifferential Equations MTH 205
A Course Title & Number MTH 205 B Pre/Co requisite(s) MTH 104 C Number of credits 3 0 3 D Faculty Name Ayman Badawi E Term/ Year Fall 2014 F Sections CRN Days Time Location UTR 11:00 11:50 Office Hours:
More informationBIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, Pilani Pilani Campus
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI INSTRUCTION DIVISION FIRST SEMESTER 2017-2018 Course Handout (Part - II) Date: 02/08/2017 In addition to Part I (General Handout for all courses appended
More informationLeon, Chap. 1. Chap. 2
Linear Algebra for Dierential Equations Math 309.501, 309.502 Spring, 2014 Section 501: MWF 10:2011:10 (BLOC 164) Section 502: MWF 11:3012:20 (BLOC 164) Instructor: Prof. Thomas Vogel Oce: 629C Blocker
More informationMath Partial Differential Equations
Math 531 - Partial Differential Equations to Partial Differential Equations Joseph M. Mahaffy, jmahaffy@sdsu.edu Department of Mathematics and Statistics Dynamical Systems Group Computational Sciences
More informationPHYS 1112: Introductory Physics-Electricity and Magnetism, Optics, Modern Physics
FALL 2012 Department of Physics & Astronomy, University of Georgia PHYS 1112: Introductory Physics-Electricity and Magnetism, Optics, Modern Physics The course syllabus is a general plan for the course;
More informationAdvanced Mechanics PHY 504 Fall Semester, 2016 (Revised 08/24/16) The Course will meet MWF in CP183, 9:00-9:50 a.m., beginning August 24, 2016.
Advanced Mechanics PHY 504 Fall Semester, 2016 (Revised 08/24/16) I. INSTRUCTOR/VENUE Professor Lance De Long Email: lance.delong@uky.edu Office: CP363 (257-4775) Labs: CP75, CP158 (257-8883) Office Hours:
More informationIntroduction. Outline. EE3321 Electromagnetic Field Theory. Welcome! About this class Rules and syllabus Let s get started! 9/19/2018. E t.
D v B 0 B E t D H J t D B E H Introduction EE3321 Electromagnetic Field Theory Outline Welcome! About this class Rules and syllabus Let s get started! Slide 2 1 Welcome Course Information http://emlab.utep.edu/ee3321emf.htm
More informationMathematical Modeling using Partial Differential Equations (PDE s)
Mathematical Modeling using Partial Differential Equations (PDE s) 145. Physical Models: heat conduction, vibration. 146. Mathematical Models: why build them. The solution to the mathematical model will
More informationAdvanced Engineering Mathematics Course Number: Math Spring, 2016
Advanced Engineering Mathematics Course Number: Math 401-501 Spring, 2016 Instructor: Dr. Prabir Daripa Office: Blocker 629D Email: daripa@math.tamu.edu Lecture: TTh 12:45 pm - 2:00 pm. Classroom: Blocker
More informationPARTIAL DIFFERENTIAL EQUATIONS. MTH 5230, Fall 2007, MW 6:30 pm - 7:45 pm. George M. Skurla Hall 116
PARTIAL DIFFERENTIAL EQUATIONS MTH 5230, Fall 2007, MW 6:30 pm - 7:45 pm George M. Skurla Hall 116 Ugur G. Abdulla Office Hours: S311, TR 2-3 pm COURSE DESCRIPTION The course presents partial diffrential
More informationCourse Syllabus Phy320L - Modern Physics Laboratory Spring 1999
Course Syllabus Phy320L - Modern Physics Laboratory Spring 1999 Instructor: Dr. Alison Baski Oliver Hall-North 2017, Phone: 828-8295, E-mail: aabaski@vcu.edu Laboratory: Tue & Thur 12:30-1:45 (Lab open
More informationMATH-3150H-A: Partial Differential Equation 2018WI - Peterborough Campus
MATH-3150H-A: Partial Differential Equation 2018WI - Peterborough Campus Instructor: Instructor: Kenzu Abdella Email Address: kabdella@trentu.ca Phone Number: 705-748-1011 x7327 Office: GSC 339 Office
More informationMATH 251 Ordinary and Partial Differential Equations Summer Semester 2017 Syllabus
MATH 251 Ordinary and Partial Differential Equations Summer Semester 2017 Syllabus Course Description: Ordinary and Partial Differential Equations. First and second order equations; series solutions; Laplace
More informationHEAT AND THERMODYNAMICS PHY 522 Fall, 2010
HEAT AND THERMODYNAMICS PHY 522 Fall, 2010 I. INSTRUCTOR Professor Lance De Long Office: CP363 (257-4775) Labs: CP75, CP158 (257-8883), ASTeCC A041 Office Hours: M 10:30-11:30 a.m.; T 8:30-9:30 a.m. II.
More informationAE 200 Engineering Analysis and Control of Aerospace Systems
Instructor Info Credit Class Days / Time Office Location: ENG 272C Office Hours: Monday 4:00pm 6:30pm Email: kamran.turkoglu@sjsu.edu 3 units Tuesday, 6:00pm 8:45pm Classroom CL 222 Prerequisites TA: Contact
More informationPartial Differential Equations with MATLAB
CHAPMAN & HALL/CRC APPLIED MATHEMATICS AND NONLINEAR SCIENCE SERIES An Introduction to Partial Differential Equations with MATLAB Second Edition Matthew P. Coleman CHAPMAN & HALL/CRC APPLIED MATHEMATICS
More informationMAT350: Engineering Mathematics
North South University Department of Mathematics and Physics Course Name : Engineering Mathematics Course Code : MAT 350 Credit Hours : 3 Credits Pre-requisite : MAT 250 Semester : Fall 2018 MAT350: Engineering
More informationMTH 163, Sections 40 & 41 Precalculus I FALL 2015
MTH 163, Sections 40 & 41 Precalculus I FALL 2015 Instructor Name : Mrs. Donna M. Ratliff Office Number: Room 217 Office Phone Number: (434) 946-2898 Email: dmratliff@amherst.k12.va.us Office Hours: Before
More informationPHYS 122 Introductory Physics II Dr. Eric C. Anderson UMBC Fall 2016 Syllabus. Getting ready
PHYS 122 Introductory Physics II Dr. Eric C. Anderson UMBC Fall 2016 Syllabus Getting ready Prerequisites You must have completed Phys 121, and Math 152 (or be enrolled in it this semester.) Workload Experience
More informationCLASSICAL ELECTRODYNAMICS I Physics 6/75203 SPRING 2013
INSTRUCTOR: CLASSICAL ELECTRODYNAMICS I Physics 6/75203 SPRING 2013 Dr. Mark Manley manley@kent.edu 220 Smith Hall http://www.kent.edu/cas/physics/people/manley.cfm 330-672-2407 CLASS HOURS: 1:10-2:00
More informationSpecial Functions of Mathematical Physics
Arnold F. Nikiforov Vasilii B. Uvarov Special Functions of Mathematical Physics A Unified Introduction with Applications Translated from the Russian by Ralph P. Boas 1988 Birkhäuser Basel Boston Table
More informationCourse Syllabus: Continuum Mechanics - ME 212A
Course Syllabus: Continuum Mechanics - ME 212A Division Course Number Course Title Academic Semester Physical Science and Engineering Division ME 212A Continuum Mechanics Fall Academic Year 2017/2018 Semester
More informationCHM 7430: Chemical Kinetics MWF 12:50 1:45 / 215 State Hall. Instructor: G. Andrés Cisneros Office Hours: WF 1:45 3:00
CHM 7430: Chemical Kinetics MWF 12:50 1:45 / 215 State Hall Instructor: G. Andrés Cisneros Office Hours: WF 1:45 3:00 Office: 333 Chemistry or by appointment email: andres@chem.wayne.edu Course Description
More informationAS 101: The Solar System (Spring 2017) Course Syllabus
AS 101: The Solar System (Spring 2017) Course Syllabus Instructor: Professor Wen Li Office: CAS 501 Phone: 617-353-7439 Email: wenli77@bu.edu Office hours: Mondays 3:30 5:00 pm, Wednesdays 3:30 5:00 pm,
More informationCALIFORNIA POLYTECHNIC STATE UNIVERSITY Mechanical Engineering Department ME 347, Fluid Mechanics II, Winter 2018
CALIFORNIA POLYTECHNIC STATE UNIVERSITY Mechanical Engineering Department ME 347, Fluid Mechanics II, Winter 2018 Date Day Subject Read HW Sept. 21 F Introduction 1, 2 24 M Finite control volume analysis
More informationGEOL 0086 Environmental Geology
GEOL 0086 Environmental Geology Instructor: Dr. Carrie Davis Todd E-mail address: Phone: Office: Krebs 244 Office hours: Monday 3 4 pm; Tuesday 1 2 pm; Wednesday 9 10 am; or by appointment Textbook: Geology
More informationLake-Sumter State College Course Syllabus. South Lake Building 2 Room 339
Lake-Sumter State College Course Syllabus Course / Prefix Number MAC 2313 Course Title: Calculus with Analytic Geometry III CRN: 20110 20110 Credit: 4 Term: Spring 2015 Course Catalog Description: Instructor:
More informationPhysics 343: Modern Physics Autumn 2015
Physics 343: Modern Physics Autumn 2015 Course Information Instructor: Dr. David A. Macaluso Office: C.H. Clapp Building, room 119 Telephone: (406) 243-6641 Email: david.macaluso@umontana.edu Lectures:
More informationECE 3110 Electromagnetic Fields I Spring 2016
ECE 3110 Electromagnetic Fields I Spring 2016 Class Time: Mon/Wed 12:15 ~ 1:30 PM Classroom: Columbine Hall 216 Office Hours: Mon/Wed 11:00 ~ 12:00 PM & 1:30-2:00 PM near Col 216, Tues 2:00 ~ 2:45 PM Other
More informationNirma University Institute of Technology
Nirma University Institute of Technology Department of Mathematics & Humanities Template B. Tech. Electrical Engineering Semester: III Academic Year: 28-19 Term: Odd 28 Course Code & Name : MA04, Mathematics
More informationSyllabus and Topics Thermal Physics I Fall 2007
Syllabus and Topics 33-341 Thermal Physics I Fall 2007 Robert F. Sekerka 6416 Wean Hall, Phone 412-268-2362 sekerka@cmu.edu http://sekerkaweb.phys.cmu.edu August 27, 2007 Class Schedule: This class is
More informationOn an Eigenvalue Problem Involving Legendre Functions by Nicholas J. Rose North Carolina State University
On an Eigenvalue Problem Involving Legendre Functions by Nicholas J. Rose North Carolina State University njrose@math.ncsu.edu 1. INTRODUCTION. The classical eigenvalue problem for the Legendre Polynomials
More informationChemistry Syllabus Fall Term 2017
Chemistry 9 - Syllabus Fall Term 17 Date Lecture Number - General Subject Chapter W 8/30 F 9/1 1 - Introduction and orgo I review X - Review, friendly diagnostic exam M 9/4 2 - Orgo I review, exam highlights
More informationADVANCED ENGINEERING MATHEMATICS MATLAB
ADVANCED ENGINEERING MATHEMATICS WITH MATLAB THIRD EDITION Dean G. Duffy Contents Dedication Contents Acknowledgments Author Introduction List of Definitions Chapter 1: Complex Variables 1.1 Complex Numbers
More informationELECTROMAGNETIC THEORY
Phys 311 Fall 2014 ELECTROMAGNETIC THEORY Phys 311 Fall 2014 Instructor: Office: Professor David Collins WS 228B Phone: 248-1787 email: Office Hours: dacollin@coloradomesa.edu MT 9:00 9:50am, MWF 2:00
More informationPrerequisite: Math 40 or Math 41B with a minimum grade of C, or the equivalent.
MATH 80 Intermediate Algebra #0630 El Camino College Room: MCS 219A MTWTH 11:30 12:40pm Fall 2011 Instructor: GREG FRY email: gfry@elcamino.edu Voice Mail: 310-660-3573 (5220) Office: MCS 104U Office Hours:
More informationENGR 3130: DYNAMICS University of Detroit Mercy Term I,
ENGR 3130: DYNAMICS University of Detroit Mercy Term I, 2013-2014 Course Description: The application of kinematics and kinetics to particles and rigid bodies. The course considers fixed and moving reference
More informationENGINEERING MATHEMATICS I. CODE: 10 MAT 11 IA Marks: 25 Hrs/Week: 04 Exam Hrs: 03 PART-A
ENGINEERING MATHEMATICS I CODE: 10 MAT 11 IA Marks: 25 Hrs/Week: 04 Exam Hrs: 03 Total Hrs: 52 Exam Marks:100 PART-A Unit-I: DIFFERENTIAL CALCULUS - 1 Determination of n th derivative of standard functions-illustrative
More informationChemistry 401: Modern Inorganic Chemistry (3 credits) Fall 2017
Chemistry 401: Modern Inorganic Chemistry (3 credits) Fall 2017 Monday, Wednesday, Friday 9:10-10:00 am in Troy G5 Syllabus Instructor: Professor Qiang Zhang Office: Troy 220 Phone: 509-335-1269 Email:
More informationMATH 122 SYLLBAUS HARVARD UNIVERSITY MATH DEPARTMENT, FALL 2014
MATH 122 SYLLBAUS HARVARD UNIVERSITY MATH DEPARTMENT, FALL 2014 INSTRUCTOR: HIRO LEE TANAKA UPDATED THURSDAY, SEPTEMBER 4, 2014 Location: Harvard Hall 102 E-mail: hirohirohiro@gmail.com Class Meeting Time:
More informationMAT 211, Spring 2015, Introduction to Linear Algebra.
MAT 211, Spring 2015, Introduction to Linear Algebra. Lecture 04, 53103: MWF 10-10:53 AM. Location: Library W4535 Contact: mtehrani@scgp.stonybrook.edu Final Exam: Monday 5/18/15 8:00 AM-10:45 AM The aim
More informationGeneral Chemistry I Chemistry 101B Fall 2002 Department of Chemistry Colgate University
Instructor: Germaine Gogel Office Hours: General Chemistry I Chemistry 101B Fall 2002 Department of Chemistry Colgate University Lecture: 9:20 10:10 on Monday, Wednesday, and Friday Classroom: Wynn 111
More informationMichelle Liu, Neelay Phadke, Dogan Gidon W 5-6 in Hildebrand 100-D
Course Syllabus CHEMICAL ENGINEERING 141 Syllabus Thermodynamics, Spring 2015 Instructors: Prof. Danielle Tullman-Ercek, 116 Gilman Hall, 642-7160, dtercek@berkeley.edu Graduate Student Instructors: Dogan
More informationMATH 345 Differential Equations
MATH 345 Differential Equations Spring 2018 Instructor: Time: Dr. Manuela Girotti; office: Weber 223C email: manuela.girotti@colostate.edu Mon-Tue-Wed-Fri 1:00pm-1:50pm Location: Engineering E 206 Office
More informationSchool of Mathematics and Science MATH 163 College Algebra Section: EFA
CCBC Essex School of Mathematics and Science MATH 163 College Algebra Section: EFA CLASSROOM LOCATION: L311 SEMESTER: Spring 2012 CLASS MEETING DAYS: MWF CLASS MEETING TIMES:12:20-1:15 INSTRUCTOR: D. TRUSZKOWSKI
More informationUC DAVIS. Circuits I Course Outline
UC DAVIS Circuits I Course Outline ENG 17 Professor Spencer Fall 2010 2041 Kemper Hall Lecture: MWF 4:10-5:00, 1003 Giedt Hall 752-6885 Discussion Section 1: W 1:10-2:00, 55 Roessler CRN: 61417 Discussion
More informationCHEM 4725/8725 Organometallic Chemistry. Spring 2016
Lecture Time and Location: CHEM 4725/8725 Organometallic Chemistry Spring 2016 11:15 am - 12:30 pm Tuesdays and Thursdays 111 Smith Hall Instructor: Prof. Ian A. Tonks 568A Kolthoff Hall Phone: 612.624.4705
More information1 Solutions in cylindrical coordinates: Bessel functions
1 Solutions in cylindrical coordinates: Bessel functions 1.1 Bessel functions Bessel functions arise as solutions of potential problems in cylindrical coordinates. Laplace s equation in cylindrical coordinates
More informationMTH 167 Pre Calculus I (Spring 2015) 3 credits. Department of Mathematics at Cleveland State University
MTH 167 Pre Calculus I (Spring 2015) 3 credits Department of Mathematics at Cleveland State University Section 1 - MWF 12:25pm 1:15pm MC 304 or RT 403. Prof. Feister ALEKS course code: PHMDL-HHXJJ Financial
More informationJEFFERSON COLLEGE COURSE SYLLABUS MTH 141 PRECALCULUS. 5 Credit Hours. Prepared by John M Johny August 2012
JEFFERSON COLLEGE COURSE SYLLABUS MTH 141 PRECALCULUS 5 Credit Hours Prepared by John M Johny August 2012 Ms. Shirley Davenport, Dean, Arts & Science Education Ms. Linda Abernathy, Math, Science, and Business
More informationINTERMEDIATE MECHANICS OF DEFORMABLE BODIES (58:150/51:151/53:140) Fall 2003
INTERMEDIATE MECHANICS OF DEFORMABLE BODIES (58:150/51:151/53:140) Fall 2003 Instructor: Lecture: Office Hours: Sharif Rahman, 2140 SC, 335-5679, rahman@engineering.uiowa.edu WF, 3:30 4:45 pm at 3315 SC
More informationSyllabus (Session )
Syllabus (Session 2016-17) Department of Mathematics nstitute of Applied Sciences & Humanities AHM-1101: ENGNEERNG MATHEMATCS Course Objective: To make the students understand the concepts of Calculus,
More informationMath Linear Algebra Spring Term 2014 Course Description
Math 200 - Linear Algebra Spring Term 2014 Course Description February 6, 2014 Instructor: John Schmitt Office: Warner 311, Tel: Ext. 5952 E-mail: jschmitt@middlebury.edu Office Hours: Tuesday 1:30pm 3pm,
More informationCEE461L Chemical Processes in Environmental Engineering CEE561L/ENV542L Environmental Aquatic Chemistry Fall 2017
CEE461L Chemical Processes in Environmental Engineering CEE561L/ENV542L Environmental Aquatic Chemistry Fall 2017 Instructor: Prof. Heileen (Helen) Hsu-Kim 127A Hudson Hall (919) 660-5109 hsukim@duke.edu
More informationChemistry 313 Course Syllabus / Fall 2006
Chemistry 313 Course Syllabus / Fall 2006 Instructor: Dr. Caleb A. Arrington Course Number and Title: Chem 313 Physical Chemistry I (Thermodynamics) Meeting Place: RMSC-308 Meeting Time: M,W,&F 10:30 11:50
More informationCHE 251 Contemporary Organic Chemistry
CHE 251 Contemporary Organic Chemistry University at Buffalo Fall Semester 2017 Announcement Sheet Days Time Place MWF 10:00 10:50 AM Park 145 STAFF Lecturer: Office Phone Email Office Hours* Dr. Qing
More informationCHEM 102 Fall 2012 GENERAL CHEMISTRY
CHEM 102 Fall 2012 GENERAL CHEMISTRY California State University, Northridge Lecture: Instructor: Dr. Thomas Minehan Office: Science 2314 Office hours: TR, 12:00-1:00 pm Phone: (818) 677-3315 E.mail: thomas.minehan@csun.edu
More informationColumbus State Community College Mathematics Department. CREDITS: 5 CLASS HOURS PER WEEK: 5 PREREQUISITES: MATH 2173 with a C or higher
Columbus State Community College Mathematics Department Course and Number: MATH 2174 - Linear Algebra and Differential Equations for Engineering CREDITS: 5 CLASS HOURS PER WEEK: 5 PREREQUISITES: MATH 2173
More informationLinear Algebra. Instructor: Justin Ryan
Linear Algebra Instructor: Justin Ryan ryan@math.wichita.edu Department of Mathematics, Statistics, and Physics Wichita State University Wichita, Kansas Summer 2014 DRAFT 3 June 2014 Preface These lecture
More informationECE 4800 Fall 2011: Electromagnetic Fields and Waves. Credits: 4 Office Hours: M 6-7:30PM, Th 2-3:30, and by appointment
ECE 4800 Fall 2011: Electromagnetic Fields and Waves Instructor: Amar S. Basu Office: 3133 Engineering Email: abasu@eng.wayne.edu Phone: 313-577-3990 Lecture Times: M W 7:30PM - 9:20PM, Class Dates: 9/7/11
More informationPh.D. Qualifying Exam Guidance
Ph.D. Qualifying Exam Guidance This guidance applies to the May 2018 round of Ph.D. qualifying exam. All topical exams are written exams. For the May 2018 round, the written exams will take place in the
More informationPhysics 9, Introductory Physics II Fall 2011
Physics 9 page 1/6 Physics 9, Introductory Physics II Fall 2011 - Course Description - Instructor: Dr. Derrick Kiley Office: AOB 177; Office Phone 209 228-3077 E-mail Address: dkiley@ucmerced.edu. Course
More informationCourse: Math 111 Pre-Calculus Summer 2016
Course: Math 111 Pre-Calculus Summer 2016 Text: Instructor: Office Hours: Email: Fundamentals of Pre-calculus 2 nd edition, by M. Dugopolski, Pearson Publishing (Custom Edition for URI or Standard Edition)
More informationPage 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
More informationCourse Instructor. Home Page. Title Page. Page 2 of 33. Go Back. Full Screen. Close. Quit
Rutgers University Department of Physics & Astronomy 01:750:271 Honors Physics I Lecture 1 Page 1 of 33 Course Instructor Duiliu Emanuel Diaconescu Office: Serrin E358 Phone: 848 445 9054 E-mail: duiliu@physics.rutgers.edu
More informationReid State Technical College
Reid State Technical College I. COURSE PREFIX, NUMBER, TITLE MTH 098 D - Elementary Algebra II. COURSE HOURS 3 Theory credit hours 0 Lab credit hours 0 Clinical credit hours 3 Contact hours III. CLASS
More informationPhysics 9, Introductory Physics II Spring 2010
Physics 9 page 1/6 Physics 9, Introductory Physics II Spring 2010 - Course Description - Instructor: Dr. Derrick Kiley Office: AOB 176; Office Phone 209 228-3076 E-mail Address: dkiley@ucmerced.edu. Course
More informationSept , 17, 23, 29, 37, 41, 45, 47, , 5, 13, 17, 19, 29, 33. Exam Sept 26. Covers Sept 30-Oct 4.
MATH 23, FALL 2013 Text: Calculus, Early Transcendentals or Multivariable Calculus, 7th edition, Stewart, Brooks/Cole. We will cover chapters 12 through 16, so the multivariable volume will be fine. WebAssign
More informationSyllabus, General Chemistry I, CHM 1142 Section TCAA, Fall, 2008 McCall Hall, Room 318 MWF 9:00-9:50 AM
Syllabus, General Chemistry I, CHM 1142 Section TCAA, Fall, 2008 McCall Hall, Room 318 MWF 9:00-9:50 AM Instructor: Dr. Christopher King, cking@troy.edu Office: McCall 315, (334)670 3576. My office hours
More informationAS GRS 713 Astronomical Spectroscopy
AS GRS 713 Astronomical Spectroscopy Prof. Clemens Fall 2012 Catalog Description: Spectroscopic processes in astrophysics. Energy levels in atoms and molecules. Atomic and molecular spectral lines. Excitation
More informationSAVE THIS SYLLABUS FOR REFERENCE DURING THE SEMESTER.
SYLLABUS Course: General Chemistry I: (call #31437) Lecture: 8:30-10:00AM Mon.-Wed.; Room 6006 Recitation: 1 hour per week: Mon.; 12:00-1:00 Room 3066 Laboratory: 3 hours per week: Mon;1:00-4:00 Room 3066
More informationCHEM 25: Organic Chemistry I https://moodle.drew.edu (2009FA-CHEM )
CHEM 25: Organic Chemistry I https://moodle.drew.edu (2009FA-CHEM-25-001) Instructor Jane M. Liu, Ph.D. Hall of Sciences S212 jliu3@drew.edu (973-408-3303) Class 9:30-10:35am M, W, F (S244) Laboratory
More informationSYLLABUS FOR [FALL/SPRING] SEMESTER, 201x
SYLLABUS FOR [FALL/SPRING] SEMESTER, 201x Course Title: College Algebra and Trigonometry Instructor: [Instructor Name] Credit Hours: 5 Office: [Office Location] Course Number: MATH 1340-00x Hours: [Office
More informationADVANCED ENGINEERING MATHEMATICS
ADVANCED ENGINEERING MATHEMATICS DENNIS G. ZILL Loyola Marymount University MICHAEL R. CULLEN Loyola Marymount University PWS-KENT O I^7 3 PUBLISHING COMPANY E 9 U Boston CONTENTS Preface xiii Parti ORDINARY
More informationSyllabus for OPTI 6101/8101 PHYS 6210 Fall 2010 Mathematical Methods for Optical Science and Engineering Theoretical Physics
Syllabus for OPTI 6101/8101 PHYS 6210 Fall 2010 Mathematical Methods for Optical Science and Engineering Theoretical Physics Instructor: Greg Gbur Office: Grigg 205, phone: 687-8137 email: gjgbur@uncc.edu
More informationAS 203 Principles of Astronomy 2 Introduction to Stellar and Galactic Astronomy Syllabus Spring 2012
AS 203 Principles of Astronomy 2 Introduction to Stellar and Galactic Astronomy Syllabus Spring 2012 Instructor Prof. Elizabeth Blanton Room: CAS 519 Email: eblanton@bu.edu Phone: 617-353-2633 Office hours:
More informationLahore 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
More informationSan Jose State University Department of Mechanical and Aerospace Engineering ME 211, Advanced Heat Transfer, Fall 2015
San Jose State University Department of Mechanical and Aerospace Engineering ME 211, Advanced Heat Transfer, Fall 2015 Instructor: Office Location: Younes Shabany TBD Telephone: (408)313-8391 Email: Office
More informationREFERENCES. 1. Strang, G., Linear Algebra and its Applications, 2nd ed., Academic Press Inc., New York, 1980.
REFERENCES 1. Strang, G., Linear Algebra and its Applications, 2nd ed., Academic Press Inc., New York, 1980. 2. Kolman, B., Elementary Linear Algebra, The Macmillan Company, New York, 1970. 3. Davis, H.
More informationAGRY 545/ASM 591R. Remote Sensing of Land Resources. Fall Semester Course Syllabus
AGRY 545/ASM 591R Remote Sensing of Land Resources Fall Semester 2005 Course Syllabus Agronomy 545/ASM 591R is a graduate level course designed to teach students how to analyze and interpret remotely sensed
More information