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- ACC
471
Accounting Principles
Prerequisites: Open to non-business students only
3 credit elective
A one term general course in accounting open only to juniors,
seniors and graduate students who are not enrolled in, and do
not plan to apply to, the University of Michigan Business School.
Covers underlying concepts of financial accounting for both business
and government (not-for-profit) organizations and develops an
understanding of financial reports. Other topics covered include
budgeting, fund accounting, and elements of managerial accounting.
Course does not prepare students to begin preparation to sit for
C.P.A. examination, and will not provide sufficient background
for further work in accounting. Students interested in pursuing
other ac-counting courses (315 or 317) after completing this course
should consult the Chairperson of the Accounting Department.
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- ACC
501
Principles of Accounting, Part I
Not open to CPAs or CFAs
I; 3 credits
This course introduces the basic concepts and methods used in
corporate financial statements for the information of investors
and other interested external parties. Readings, problems and
cases are used. Major topics included are: The Basic Accrual Model,
Analysis of Transactions, Balance Sheet, Income Statement and
Cash Flow Statement Construction and Analysis. The course also
emphasizes analysis of cases and actual financial reports and
concerns the applications of the basic concepts and methods of
financial accounting to issues such as long-term assets, inventory,
sales, receivables, debt securities, corporate ownership, international
operations, and analysis of financial statements.
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- Econ
401
Intermediate Microeconomic Theory
Econ. 401 before or concurrently with Econ 102
Prerequisites: Econ 101, 102 and Math 115.
I, II; 4 credits
This course deals with the theoretical analysis of consumers,
firms, markets, and price determination. The analysis is rigorous,
using the tools of algebra, geometry, and elementary calculus
in constructing models. Students considering a concentration in
economics are encouraged to elect Econ. 401 as soon as they have
completed the prerequisites. Students with strong skills in mathematics
and analytical reasoning may elect Econ 401 before or concurrently
with Econ 102. Another option: MATH 424.
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Electrical
Engineering and Computer Science(EECS)(top) |
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- EECS
283
Programming for Science and Engineering
Prerequisites: EECs 183 or Eng 101 or equivalent.
II; 4 credits
Programming concepts with numeric applications for mathematics,
the sciences, and engineering. Object-oriented programming, abstract
data types, and standard class libraries with numeric and nonnumeric
applications. Elementary data structures, linked lists, and dynamic
allocation. Searching and sorting methods. Not intended for CS
majors.
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- EECS
284 (CS 284)
Introduction to a Programming Language or System
Prerequisites: some programming knowledge.
I, II; 1 credits
A minicourse covering a complex computer system or programming
language. Specific languages or systems to be offered will be
announced in advance.
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- FIN
551
Financial Management
Prerequisites: Any of the following: BE 501 or BE 503, A 501,
or SMS 501
Ib; 2.25 credits
This course introduces the basic concepts of finance. The first
half of the course focuses on valuation techniques, the elations
between risk and return and the workings of U.S. capital markets.
Specific topics include Net Present Value, the Capital Asset Pricing
Model, Capital Budgeting, and the Efficient Market Hypothesis.
The second half of the course covers the major areas of financing
decisions and internal finance.
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Industrial
and Operations Engineering (top) |
- IOE 201
Economic Decision Making
Prerequisites: Eng 100, Eng 101 or equivalent
I, II; 2 credits; 7-week
Overview of business operations, valuation and accounting principles. Time value of money and net present values. Practical team project experience.
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- IOE
265 (Stat 265)
Probability and Statistics for Engineers
Prerequisites: Math 116 and Engr 101
I, II; 4 credits
Graphical Representation of Data; Axioms of Probabil-ity; Conditioning,
Bayes Theorem; Discrete Distribu-tions (Geometric, Binomial, Poisson);
Continuous Dis-tributions (Normal Exponential, Weibull), Point
and Interval Estima-tion, Likelihood Functions, Test of Hypotheses
for Means, Variances, and Pro-portions for One and Two Populations.
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- IOE
316
Introduction to Markov Processes
Prerequisites: IOE 265 and Math 216
I, II; 2 credits 7-week course
Introduction to discrete Markov Chains and continuous Markov processes,
including transient and limiting behavior. The Poison/Exponential
process. Applications to reliability, maintenance, inventory,
production, simple queues and other engineering problems.
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- IOE
366
Linear Statistical Models
Prerequisites: IOE 266 and Math 216
I, II; 2 credits; 7-week course
Linear statistical models and their application to engineering
data analysis. Linear regression and correlation; multiple linear
regression, analysis of variance, introduction to design of experiments.
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Mathematics
Department (top) |
- Math
115
Calculus I
Prerequisites: 3-4 years HS math including trigonometry
I, II, III, 111b; 4 credits
The course presents the concepts of calculus from three points
of view: geometric (graphs); numerical (tables); and algebraic
(formulas). Students will develop their reading, writing and questioning
skills. Topics include functions and graphs, derivatives and their
applications to reallife problems in various fields, and definite
integrals. The classroom atmosphere is interactive and cooperative
and homework is done in groups. Alternatives: Math 185 (Honors
Anal. Geom. and Calc. I ) is a somewhat more theoretical course
which covers some of the same material. Math 175 (Combinatorics
and Calculus) includes some of the material of Math 115 to-gether
with some combina-torial mathematics. Math 295 (Honors Mathematics
I) is a much more intensive and rigorous course. A student whose
preparation is insufficient for Math 115 should take Math 105
(Data, Functions and Graphs). Subsequent Courses: Math 116 (Calculus
II) is the natural sequel. A student who has done very well in
this course could enter the honors sequence at this point by taking
Math 186 (Honors Anal. Geom. and Calc. II).
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- Math
116
Calculus II
Prerequisites: Math 115
I, II, IIIa, IIIb; 4 credits
The course presents the concepts of calculus from three points
of view: geometric (graphs); numerical (tables); and algebraic
(formulas). Students will develop their reading, writing and questioning
skills. Topics include the indefinite integral, techniques of
integration, introduction to differential equations, infinite
series. The classroom atmosphere is interactive and cooperative
and homework is done in groups. Alternatives: Math 186 (Honors
Anal. Geom. and Calc. II) is a somewhat more theoretical course
which covers much of the same material. Math 156 (Applied Honors
Calculus II) also covers much of the same material using MAPLE
and emphasizing applications to science and engineering. Subsequent
Courses: Math 215 (Calculus III) is the natural sequel. A student
who has done very well in this course could enter the honors sequence
at this point by taking Math 285 (Honors Anal. Geom. and Calc.
III)
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- Math
215
Calculus III
Prerequisites: Math 116, 156, or 186
I, II, IIIa, IIIb; 4credits
Credit is granted for only one course among Math 215, 255, and
285.
Topics include vector algebra and vector functions; analytic geometry
of planes, surfaces, and solids; functions of several variables
and partial differentiation; line, surface, and volume integrals
and applications; vector fields and integration; Green's Theorem
and Stokes' Theorem. There is a weekly computer lab using MAPLE.
Alternatives: Math 285 (Honors Calculus III) is a somewhat more
theoretical course which covers the same material. Math 255 (Applied
Honors Calculus III) is also an alternative. Subsequent Courses:
For students intending to major in mathematics or who have some
interest in the theory of mathematics as well as its applications,
the appropriate sequel is Math 217 (Linear Algebra). Students
who intend to take only one further mathematics course and need
differential equations should take Math 216 (Intro. to Differential
Equations).
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- Math
216
Introduction to Differential Equations
Prerequisites: Math 116, 156, or 186
I, II, IIIa, IIIb; 4 credits
2 credits granted to those who have completed or are enrolled
in Math 214; credit is granted for only one course among Math
216, 256, 286, and 316.
Math 216 is a basic course on differential equations, intended
for engineers and other scientists who need to apply the techniques
in their work. The lectures are ac-companied by a computer lab
and recitation section where students have the opportunity to
discuss prob-lems and work through computer experiments to further
develop their understanding of the concepts of the class. Topics
covered include some material on complex numbers and matrix algebra,
first and second order linear and nonlinear systems with applications,
introductory numerical methods, and elementary Laplace transform
techniques. Alternatives: Math 286 (Honors Differential Equations)
covers much of the same material in the honors sequence. The se-quence
Math 217 (Linear Algebra)-Math 316 (Differential Equations) covers
all of this material and substantially more at greater depth and
with greater emphasis on the theory. Math 256 (Applied Honors
Calculus IV) is also an alternative. Subsequent Courses: Math
404 (Intermediate Diff. Eq.) covers further material on differential
equations. Math 217 (Linear Algebra) and Math 417 (Matrix Algebra
I) cover further material on linear algebra. Math 371 ((Engin.
303) Numerical Methods) and Math 471 (Intro. To Numerical Methods)
cover additional material on numerical methods.
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- Math
217
Linear Algebra
Prerequisites: Math 215, 255, or 285 (QR/1). May not
be repeated for credit. Credit can be earned for only one of MATH
214, 217, 417, or 419. No credit granted to those who have completed
or are enrolled in MATH 513.
4 credits
The topics covered include: systems of linear equations; matrix
algebra; vectors, vector spaces, and subspaces; geometry of Rn;
linear dependence, bases, and dimension; linear transformations;
Eigenvalues and Eigenvectors; diagonalization; inner products.
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- Math
316
Differential Equations
Prerequisites: Math 215, 255, or 285; and 217
I, II; 3 credits
Credit is granted for only one course among Math 216, 256, 286,
and 316.
First-order equations: solutions, existence and uniqueness, and
numerical techniques; linear systems: eigenvector-eigenvalue solutions
of constant coefficient systems, fundamental matrix solutions,
nonhomogeneous systems; higher-order equations, reduction of order,
variation of parameters, series solutions; qualitative behavior
of systems, equilibrium points, stability. Applications to physical
problems are considered throughout. Alternatives: Math 216 covers
somewhat less material without presupposing linear algebra and
with less emphasis on theory. Math 286 (Honors Differential Equations)
is the honors version of Math 316. Subsequent Courses: Math 471
(Intro. to Numerical Methods) and/or Math 572 (Numer. Meth. For
Sci. Comput. III) are natural sequels in the area of differential
equations, but Math 316 is also preparation for more theoretical
courses such as Math 451 (Advanced Calculus I).
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- Math
417
Matrix Algebra I
Prerequisites: Three courses beyond Math 110
I, II, IIIa, IIIb; 3 credits
Credit is granted for only one course among Math 214, 217, 417,
and 419. No credit granted to those who have completed or are
en-rolled in Math 513
Topics include matrix operations, echelon form, general solutions
of systems of linear equations, vector spaces and subspaces, linear
independence and bases, linear transformations, de-terminants,
orthogonality, characteristic polynomials, Eigenvalues and Eigenvec-tors,
and similarity theory. Applications include linear networks, least
squares method (regression), discrete Markov processes, linear
programming, and differential equations. Al-ternatives: Math 419
(Lin. Spaces and Matrix Thy.) is an enriched version of Math 417
with a somewhat more theoretical emphasis. Math 217 (Linear Algebra)
(de-spite its lower number) is also a more theoretical course
which covers much of the material of 417 at a deeper level. Math
513 (In-troduction to Linear Alge-bra) is an honors version of
this course, which is also taken by some mathematics graduate
students. Subsequent Courses: Math 420 (Matrix Algebra II) is
the natural sequel but this course serves as prerequisite to several
courses: Math 452 (Linear Programming I), Math 462 (Mathematical
Models), Math 561 (Linear Programming I), and Math 571 (Numer.
Meth. for Sci.).
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- Math
424 Compound Interest and Life Ins.
Derivative Instruments
Prerequisites: Math 215, 255, or 285
II; 3 credits
The course covers compound interest (growth) theory and its application
to valuation of monetary deposits, annuities, and bonds. Problems
are approached both analytically (using algebra) and geometrically
(using pictorial representations). Techniques are applied to real-life
situations: bank accounts, bond prices, etc. The text is used
as a guide because it is prescribed for the professional examinations;
the material covered will depend some what on the instructor.
Alternatives: Math 424 is required for students concentrating
in actuarial mathematics; others may take Math 147 (Introduction
to Interest Theory), which deals with the same techniques but
with less emphasis on continuous growth situations. Subsequent
Courses: Math 520 (Life Contingencies I) applies the concepts
of Math 424 together with probability theory to the valuation
of life contingencies (death benefits and pensions.
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- Math
425 (Stat 425)
Introduction to Probability
Prerequisites: Math 215, 255, or 285
I, II, IIIa, IIIb; 3 credits
Topics include the basic results and methods of both discrete
and continuous probability theory: conditional probability, independent
events, random variables, jointly distributed random variables,
expectations, variances, covariances. Different instructors will
vary the emphasis. Al-ternatives: Math 525 (Probability Theory)
is a similar course for students with stronger mathematical background
and ability. Subsequent Courses: Stat 426 (Intro. To Math. Stat.)
is a natural sequel for students Math 523 (Risk The-ory) include
many applications of probability theory.
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Department
of Statistics (top) |
- Statistics
426
Introduction to Mathematical Statistics
Prerequisites: Statistics 425
I, II ; 3 credits
Treatment of experimental data, normal sampling theory, confidence
intervals, and tests of hypotheses, and introduction to regression
and analysis of variance. This course serves as a pre-requisite
for many 500-level statistics courses.
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