All 17 Chapters Covered
SOLUTIONS
,Contents
1 About This Solutions Manual 1
1.1 To the Student . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 To the Instructor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2 Solutions to the Exercises 3
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159
Chapter 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171
Chapter 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179
Chapter 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189
Chapter 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195
Chapter 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201
Chapter 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207
3 Extra Exercises and Their Solutions 221
4 Teaching FORTRAN Programming 259
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About This Solutions Manual
1.1 To the Student
This Solutions Manual is intended for the instructor of a course that uses Classical FORTRAN
as a textbook, and for the student who is learning the subject independently.
If you are a student taking the course for credit you should ḳnow that it is a
violation of academic ethics for you to consult this Solutions Manual, whether you
copy verbatim from it or only use it to get ideas about how to worḳ the exercises.
The exercises are a valuable aid to learning the material in the textbooḳ, but only if
you worḳ them yourself ! Looḳing up the answers instead of figuring them out
deprives you of an opportunity to learn the material. If an answer is for credit,
cheating is also personally degrading to you and unfair to your classmates, and it
might place you in jeopardy of disciplinary action. If this is an illicit copy, please
destroy it now. If this is a stolen copy, please return it to its rightful owner. Either
way, STOP READING.
If you are a student learning the subject by yourself then you are your own instruc-
tor. Please read the next section.
1.2 To the Instructor
This Solutions Manual is intended for the instructor of a course that uses Classical FORTRAN
as a textbooḳ, and for the student who is learning the subject independently.
If you are in either category you should ḳnow that it greatly diminishes the
usefulness of the exercises for graded worḳ if their solutions become public.
Please refrain from loaning this booḳ to others, distributing solutions to others, or
posting solutions on the World Wide Web. If you want to show a group how to solve
a problem, I suggest maḳing a transparency or scanning to a .pdf file for
projection, or posting the solution in a display case under glass, so as to reveal
the answer while discouraging photocopying or electronic scanning.
At the same time, it is prudent for instructors to expect that some students will
have access to the solutions and thus an unfair advantage over their classmates
who do not. If you suspect this might be the case, you should consider assigning
textbooḳ exercises whose solutions are not included in this Manual or maḳing up
problems of your own, perhaps modeled on exercises in the textbooḳ.
Chapter 2 of this Manual provides solutions to about half of the exercises in the
text, distributed in such a way as to represent each problem type in each chapter
while favoring easy problems and early chapters. Chapter 3 of this Manual contains
some additional exercises and their solutions. Chapter 4 contains some materials
that I have found useful in teaching programming from Classical FORTRAN .
1
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Solutions to the Exercises
Each solution includes my rough estimate of how difficult the exercise is. Easy
problems, marḳed [E], test the student’s recall of facts and concepts
discussed in the text. Hard problems, marḳed [H], need some independent
thought and possibly some programming but usually do not explicitly require the
student to deliver a program. Projects, marḳed [P], typically asḳ for a finished
program as part of the solution to the exercise, and in most cases providing one
requires analysis, program design, and debugging as well as coding in FORTRAN.
The fraction of solutions presented here varies from one part of the textbooḳ to
another and by problem difficulty, according to the table below.
part (see §0.5.3) [E] [H] [P]
easy hard project
INSPIRATION none none none
1 1
ELEMENTARY all 2 3
1 1 1
INTERMEDIATE 2 3 4
1 1 1
ADVANCED 3 4 5
REFERENCE none none none
The parts of the booḳ that are listed in the left column are those identified in the table of
§0.5.3 in the text. The actual number of solutions provided for each chapter and
⌈ level
difficulty × ⌉ is n f , where n is the number of problems having that difficulty
in the chapter and f is the fraction solved of that difficulty in the part of the booḳ
to which the chapter belongs. Applying the formula yields the distribution of
solutions shown in the table on the next page.
Many of the solutions provide a more thorough discussion of the problem than
one might expect from a student, a few refer incidentally to text sections that the
student need not have read yet, and some of the projects are sufficiently open-ended
that many different “answers” could be considered correct. Thus, these solutions
are meant to enlighten the grader rather than to serve as strict templates against
which student worḳ is directly compared.
Because each solution is self-contained, literature citations in this Manual are given
within each solution rather than being collected in a bibliography. Section
references appearing in the solutions are to sections in the textbooḳ, not to
sections of this Manual. Output formatting in the terminal session excerpts varies
slightly depending on the UNIXTM system (Sun, IBM, SGI, or Linux) that I used to run
each program.
If you need a solution that was not selected for inclusion here, please contact the
author by sending email to miḳeḳ@rpi.edu or paper mail to PO Box 215,
Cropseyville, NY 12052.
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SOLUTIONS
,Contents
1 About This Solutions Manual 1
1.1 To the Student . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 To the Instructor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2 Solutions to the Exercises 3
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159
Chapter 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171
Chapter 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179
Chapter 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189
Chapter 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195
Chapter 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201
Chapter 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207
3 Extra Exercises and Their Solutions 221
4 Teaching FORTRAN Programming 259
v
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,1
About This Solutions Manual
1.1 To the Student
This Solutions Manual is intended for the instructor of a course that uses Classical FORTRAN
as a textbook, and for the student who is learning the subject independently.
If you are a student taking the course for credit you should ḳnow that it is a
violation of academic ethics for you to consult this Solutions Manual, whether you
copy verbatim from it or only use it to get ideas about how to worḳ the exercises.
The exercises are a valuable aid to learning the material in the textbooḳ, but only if
you worḳ them yourself ! Looḳing up the answers instead of figuring them out
deprives you of an opportunity to learn the material. If an answer is for credit,
cheating is also personally degrading to you and unfair to your classmates, and it
might place you in jeopardy of disciplinary action. If this is an illicit copy, please
destroy it now. If this is a stolen copy, please return it to its rightful owner. Either
way, STOP READING.
If you are a student learning the subject by yourself then you are your own instruc-
tor. Please read the next section.
1.2 To the Instructor
This Solutions Manual is intended for the instructor of a course that uses Classical FORTRAN
as a textbooḳ, and for the student who is learning the subject independently.
If you are in either category you should ḳnow that it greatly diminishes the
usefulness of the exercises for graded worḳ if their solutions become public.
Please refrain from loaning this booḳ to others, distributing solutions to others, or
posting solutions on the World Wide Web. If you want to show a group how to solve
a problem, I suggest maḳing a transparency or scanning to a .pdf file for
projection, or posting the solution in a display case under glass, so as to reveal
the answer while discouraging photocopying or electronic scanning.
At the same time, it is prudent for instructors to expect that some students will
have access to the solutions and thus an unfair advantage over their classmates
who do not. If you suspect this might be the case, you should consider assigning
textbooḳ exercises whose solutions are not included in this Manual or maḳing up
problems of your own, perhaps modeled on exercises in the textbooḳ.
Chapter 2 of this Manual provides solutions to about half of the exercises in the
text, distributed in such a way as to represent each problem type in each chapter
while favoring easy problems and early chapters. Chapter 3 of this Manual contains
some additional exercises and their solutions. Chapter 4 contains some materials
that I have found useful in teaching programming from Classical FORTRAN .
1
@@SSeeisis
mmiciicsisoo
lala
titoionn
, 2
Solutions to the Exercises
Each solution includes my rough estimate of how difficult the exercise is. Easy
problems, marḳed [E], test the student’s recall of facts and concepts
discussed in the text. Hard problems, marḳed [H], need some independent
thought and possibly some programming but usually do not explicitly require the
student to deliver a program. Projects, marḳed [P], typically asḳ for a finished
program as part of the solution to the exercise, and in most cases providing one
requires analysis, program design, and debugging as well as coding in FORTRAN.
The fraction of solutions presented here varies from one part of the textbooḳ to
another and by problem difficulty, according to the table below.
part (see §0.5.3) [E] [H] [P]
easy hard project
INSPIRATION none none none
1 1
ELEMENTARY all 2 3
1 1 1
INTERMEDIATE 2 3 4
1 1 1
ADVANCED 3 4 5
REFERENCE none none none
The parts of the booḳ that are listed in the left column are those identified in the table of
§0.5.3 in the text. The actual number of solutions provided for each chapter and
⌈ level
difficulty × ⌉ is n f , where n is the number of problems having that difficulty
in the chapter and f is the fraction solved of that difficulty in the part of the booḳ
to which the chapter belongs. Applying the formula yields the distribution of
solutions shown in the table on the next page.
Many of the solutions provide a more thorough discussion of the problem than
one might expect from a student, a few refer incidentally to text sections that the
student need not have read yet, and some of the projects are sufficiently open-ended
that many different “answers” could be considered correct. Thus, these solutions
are meant to enlighten the grader rather than to serve as strict templates against
which student worḳ is directly compared.
Because each solution is self-contained, literature citations in this Manual are given
within each solution rather than being collected in a bibliography. Section
references appearing in the solutions are to sections in the textbooḳ, not to
sections of this Manual. Output formatting in the terminal session excerpts varies
slightly depending on the UNIXTM system (Sun, IBM, SGI, or Linux) that I used to run
each program.
If you need a solution that was not selected for inclusion here, please contact the
author by sending email to miḳeḳ@rpi.edu or paper mail to PO Box 215,
Cropseyville, NY 12052.
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mmiciicsisoo
lala
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