Faculty of Engineering and Applied Science

ENGR 1405 Engineering Mathematics 1

2000 Fall

Course Outline

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New:   Changes caused by the strike Schedule of quizzes Timetable Textbooks Dr. Niefer’s Notes Tests for series convergence Test Date Test Rooms Evaluation Scheme Miscellaneous Notes   (calculators, assignments, formula sheets) List of Topics Other Links   (problem sets) QBASIC and Visual Basic programs

[Go to the Problem Set Questions] [Go to the Problem Set Solutions]

Changes caused by the MUNFA Strike

Quiz 4 will be rescheduled to Nov. 23 Thu.
Quiz 5 is cancelled.
The quiz portion of the term mark will now be based on the best three of the four remaining quizzes.

Any topics in Chapter 4 that have not been covered by the end of Term 1 will be postponed to ENGR 2422 Engineering Mathematics 2 in Term 2.

[Also note the new C++ program below, to evaluate binomial series coefficients.]

Some Shortcuts for Series Convergence

This is a separate document.

Rooms for the Mid Term Test

Room	Students
EN 1040	A - Greene
EN 1054	Griffin - Norman
EN 2007	Norris - Stapleton
EN 1004	Stead - Z

The full list of room allocations will be posted in various places during the week of October 12.

Recommended Textbooks:

• A special combination of two textbooks:
  ISBN 0-13-091304-9
  “Advanced Engineering Mathematics” by Greenberg and part of “Calculus for Engineers” by Trim, published by Prentice-Hall.
  [Your purchase of this textbook is strongly recommended.
  This textbook will be used in various courses in terms 1 to 5.]
• “ENGR 1405 Engineering Mathematics 1” by R.A. Niefer, Memorial University of Newfoundland, 2000 - not in any bookstore
  [Pages from this textbook can be downloaded from the local network or from this Web site.]
• [Optional:]
  Hundreds of additional worked examples can be found in the appropriate titles in the “Schaum’s Outline Series” of textbooks (and similar publications, each costing less than $30).

Dr. Niefer’s notes for this course are available from the Local directory of your unix account (the M: drive) on any computer in the Engineering building.   Use Windows Explorer to copy the file from "M:\Local\1405\notes\" to another file on your account or to a floppy disk in the "A:" drive.   Then view your copy of the file from Word97 or Word2000.

OR

Download the Word file from here.
OR
You may view a Web version of the notes.   However, some of these files take a long time to load.   Your browser should be able to view files converted using Word 2000.   Otherwise, the formatting, especially for equations and tables, may be less than ideal.

• Chapter 1:   Linear Algebra   Web version   Word version
• Chapter 2:   Sequences and Series   Web version   Word version
• Chapter 3:   Complex Numbers   Web version   Word version
• Chapter 4:   Functions of a Single Parameter   Web version   Word version

Mid Term Test:

There was only one, at 09:00 on Thursday 12 October, 2000.

Method of Evaluation:

Quizzes [best 4 of 5 3 of 4]	10 %
Mid-Term Test	30 %	[on the material of Chapter 1]
Final Examination	60 %	[on the material of all chapters]

There will be five four quizzes.

• Each quiz will be conducted during the first 15 minutes or so of a scheduled tutorial period for divisions 2 and 3 (and during the last 15 minutes or so of a scheduled tutorial period for division 1).
• No deferred quizzes will be offered.
• Your best four three quiz scores will count towards the quiz component (10%) of your grade in this course.
• The five four quizzes will carry equal weight with respect to each other.
• Each quiz will be based on (but will not necessarily be identical to) a question that has appeared on a problem set.
• No notes and no formula sheets are permitted during any quiz.

Schedule of quizzes:

Quiz 1:   Thu. Sept. 21
Quiz 2:   Thu. Oct. 05
Quiz 3:   Wed. Oct. 25
Quiz 4:   Thu. Nov. 09 postponed to Thu. Nov. 23
Quiz 5:   Thu. Nov. 23   cancelled

NOTES:

• Calculators of the type specified for Term 1 & 2 courses (non-programmable, without text storage and without graphics capability) are permitted for all tests (the quizzes, the Mid-Term Test and the Final Examination).

• There will not be any assignments this term for this course.   Instead there will be weekly problem sets.   It is in your own interest to make an honest attempt at all problem set questions, as the questions on all quizzes will be based on (but will not necessarily be identical to) a question that has appeared on a problem set.   Sample solutions for the questions on the problem sets will be made available on the Web site or from a class representative.

• For the Mid-Term Test you are permitted to bring ONE formula sheet that can be not more than 8.5" × 11", and for the final examination TWO formula sheets (8.5" × 11") can be brought along.   However, formula sheets are not permitted in any of the quizzes.

Timetable of lectures and tutorials:

	Division I (R.A. Niefer)		Division II (R.A. Niefer)		Division III (G. H. George)
Lectures	Time	Place	Time	Place	Time	Place
Monday	09:00 - 09:50	EN 1040	11:00 - 11:50	EN 1040	10:00 - 10:50	EN 4035
Tuesday	11:00 - 11:50	EN 1040	09:00 - 09:50	EN 1040	10:00 - 10:50	EN 4035
Wednesday	09:00 - 09:50	EN 1040	11:00 - 11:50	EN 1040	10:00 - 10:50	EN 4035
Friday	09:00 - 09:50	EN 1040	11:00 - 11:50	EN 1040	10:00 - 10:50	EN 4035
Tutorial*	Time*	Place*	Time*	Place*	Time*	Place*
Thursday	10:00 - 10:50	EN 1040	11:00 - 11:50	EN 1054	11:00 - 11:50	EN 2043
[* = Tutorial times have changed as of September 21.]

Dr. Niefer’s office hours are posted on the door of EN 3066.

Dr. George’s office hours are posted on the door of EN 3047.

TOPICS

Chapter 1:   Linear Algebra

Chapter 2:   Sequences and Series

Chapter 3:   Complex Numbers

Chapter 4:   Functions of a Single Parameter

[Details of topics]

[Go to the Problem Sets]

DEMONSTRATION PROGRAMS

Click on the link at the left to run the Visual Basic program that carries out the tedious arithmetic of row reduction operations.

linsys.exe:

Visual Basic version of linsysq.bas.   The Visual Basic source code is also available. Click here for a full set of instructions.

Click on the links at the left to run the named program.   The source code of that QBASIC demonstration program is also available at the "QBASIC Source Code" link in the text on the right side.   You can save these files, then open them from inside QuickBASIC or QBASIC.

linsysq.exe:	[An older, less user-friendly version of the Visual Basic program above.]   The user enters the coefficients of a linear system as rational numbers, then chooses which row operations to perform.   The output is copied to a file name of the user’s choice.   QBASIC Source Code
taylor.exe:	Plot successive Taylor polynomial approximations to   y = cos x.   QBASIC Source Code
binexpn.exe:	Calculate the first few terms of the binomial expansion of   (a + b x)n. The coefficients are expressed exactly, as fractions. This program was generated hastily, from inefficient C++ code.
polars.exe:	Sketches the polar curves   r = n cos (q)   for n = 1, 2, ... , 6.   QBASIC Source Code
trochoid.exe:	Sketch a trochoid curve (the cycloid is a special case).   QBASIC Source Code
limacons.exe:	Sketch a limaçon   r = k + cos q.   QBASIC Source Code
taylorpoly.xls:	Excel spreadsheet to illustrate successive Taylor polynomial approximations to   sin x.
taylorerror.xls:	Excel spreadsheet to illustrate successive Taylor polynomial remainder terms   Rn(x)   for   sin x.
complexpower.xls:	Excel spreadsheet to calculate some values of uv, where u and v are complex numbers.

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