Upon completing Part One, you should be adequately prepared to
embark on your studies of numerical methods. In general, you should have gained a fundamental
understanding of the importance of computers and the role of approximations and
errors in the implementation and development of numerical methods. In addition to these
general goals, you should have mastered each of the specific study objectives listed in
Table PT1.1.
Study Objectives Part 1
(34.0K)
After completing Part Two, you should have sufficient information to
successfully approach a wide variety of engineering problems dealing with roots of equations.
In general, you should have mastered the techniques, have learned to assess their
reliability, and be capable of choosing the best method (or methods) for any particular
problem. In addition to these general goals, the specific concepts in Table PT2.2 should be
assimilated for a comprehensive understanding of the material in Part Two.
Study Objectives Part 2
(39.0K)
After completing Part Three, you should be able to solve problems
involving linear algebraic equations and appreciate the application of these equations in
many fields of engineering. You should strive to master several techniques and assess their
reliability. You should understand the trade-offs involved in selecting the “best” method
(or methods) for any particular problem. In addition to these general objectives, the specific
concepts listed in Table PT3.1 should be assimilated and mastered.
Study Objectives Part 3
(41.0K)
After completing Part Four, you should have sufficient information to
successfully approach a wide variety of engineering problems dealing with optimization.
In general, you should have mastered the techniques, have learned to assess their reliability,
and be capable of analyzing alternative methods for any particular problem. In addition
to these general goals, the specific concepts in Table PT4.2 should be assimilated for a
comprehensive understanding of the material in Part Four.
Study Objectives Part 4
(24.0K)
After completing Part Five, you should have greatly enhanced your
capability to fit curves to data. In general, you should have mastered the techniques, have
learned to assess the reliability of the answers, and be capable of choosing the preferred
method (or methods) for any particular problem. In addition to these general goals, the
specific concepts in Table PT5.3 should be assimilated and mastered.
Study Objectives Part 5
(30.0K)
After completing Part Six, you should be able to solve many numerical
integration and differentiation problems and appreciate their application for engineering
problem solving. You should strive to master several techniques and assess their reliability.
You should understand the trade-offs involved in selecting the “best’’ method (or methods)
for any particular problem. In addition to these general objectives, the specific concepts
listed in Table PT6.3 should be assimilated and mastered.
Study Objectives Part 6
(37.0K)
After completing Part Seven, you should have greatly enhanced your
capability to confront and solve ordinary differential equations and eigenvalue problems.
General study goals should include mastering the techniques, having the capability to
assess the reliability of the answers, and being able to choose the “best’’ method (or methods)
for any particular problem. In addition to these general objectives, the specific study
objectives in Table PT7.2 should be mastered.
Study Objectives Part 7
(27.0K)
After completing Part Eight, you should have greatly enhanced your
capability to confront and solve partial differential equations. General study goals should
include mastering the techniques, having the capability to assess the reliability of the answers,
and being able to choose the “best’’ method (or methods) for any particular problem.
In addition to these general objectives, the specific study objectives in Table PT8.2 should
be mastered.
Study Objectives Part 8
(31.0K)
Study Objectives Part 1
(34.0K)
After completing Part Two, you should have sufficient information to
successfully approach a wide variety of engineering problems dealing with roots of equations.
In general, you should have mastered the techniques, have learned to assess their
reliability, and be capable of choosing the best method (or methods) for any particular
problem. In addition to these general goals, the specific concepts in Table PT2.2 should be
assimilated for a comprehensive understanding of the material in Part Two.