| |
Course |
Current Textbook |
Topics to be covered |
Suggested Resources for the
Instructor |
|
| 150 |
Introduction to Secondary
Mathematics Education |
NCTM Principles and Standards
for School Mathematics |
More resources! Model standards in mathematics for
beginning teacher licensing & development: A resource for state dialogue.
[On-line]. Available: http://www.ccsso.org/intaspub.html; Mathematical
Association of America. (1991). A call for change: Recommendations for the
mathematical preparation of teachers of mathematics. Washington, DC: MAA;
Merseth, K. K., & Karp, J. B. (1997). Cases in Secondary Mathematics
Classrooms: Harvard mathematics case development project (prepublication
distribution). Cambridge, MA: Harvard University; National Council of
Teachers of Mathematics. (2000). Principles and standards for school
mathematics. Reston, VA: Author.; National Council of Teachers of
Mathematics. (1991). Professional standards for teaching mathematics. Reston,
VA: NCTM; Mathematics Textbooks:
College, High School, Middle School; Traditional and Reform; Other
Resources: Professional journals;
NCTM yearbooks. |
Annenburg/CPB. (1996). Teaching
Math: A Video Library, 5–8, 9–12, The Annenburg/CPB Math and
Science Collection. Boston, WGBH Educational Foundation; Benson, P. L.
(1997). All kids are our kids.
San Francisco: Jossey-Bass; Crouse, R. J., & Sloyer, C. W. (1977). Mathematical questions from the classroom. Boston; Prindle, Weber, & Schmidt; Indiana Professional Standards Board.
(1998). Content Standards for Teachers of
Mathematics. [On-line]. Available:
http://www.state.in.us/psb/future/future.htm; Indiana Professional Standards
Board. (1998). Developmental level standards for
teachers of early adolescence. [On-line]. Available:
http://www.state.in.us/psb/future/future.htm; Indiana Professional Standards
Board. (1998). Developmental level standards for
teachers of young adulthood. [On-line]. Available:
http://www.state.in.us/psb/future/future.htm; International Society for
Technology in Education. (2000). New educational
technology standards for teachers. Available:
http://www.iste.org; Interstate New Teacher Assessment and Support Consortium
Mathematics Sub-Committee. (1998). (continued to left) |
|
| 155 |
Introduction to Actuarial Science |
|
|
Muksian, R., Mathematics
of Interest Rates, Insurance, Social Security, and Pensions, Prentice Hall, 2003 |
|
| 165 |
Calculus 1 |
James Stewart-Calculus Early Transcendentals (6th),
Brooks/Cole. |
Chapters
1 through 5. Chapter 1 may be taught at the beginning, or its content may be
introduced as needed in the subsequent chapters. Section 3.11 is
optional. Sections 3.7 and 4.7 need not be covered in their entirety, but
some applications from these sections should be treated. |
Mathematica Tutorial and Sample Labs |
|
| 166 |
Calculus 2 |
James Stewart-Calculus Early Transcendentals (6th),
Brooks/Cole. |
Course
includes a brief review of Chapter 5, and portions of Chapters 6, 7, 8, 11,
10, and 9. Sections 8.3, 8.4, and 8.5 need not be covered in their entirety,
but some applications should be treated. Sections 10.5, and 10.6
should be omitted. In Chapter 9, section 9.3 should be covered and
the other sections are optional. |
Mathematica Tutorial and Sample Labs |
|
| 181 |
Elementary Probability and
Statistics |
Beth L. Chance, Robin H. Lock,
Allen Rossman - Workshop Statistics: Discovery with Data and Fathom, Key College. |
|
Moore - The
Basic Practice of Statistics, Freeman;
Moore- The Active Practice of Statistics, Freeman; , Bluman - Elementary Statistics, McGraw Hill; Larson & Farber - Elementary Statistics, Prentice Hall |
|
| 201 |
Number, Algebra, and Probability
for the Elementary Teacher |
O'Daffer, Charles, Cooney,
Dossey, Schielack - Mathematics for Elementary School
Teachers (4th), Addison-Wesley |
|
|
|
| 202 |
Data Analysis, Geometry, and
Measurement for the Elementary Teacher |
O'Daffer, Charles, Cooney,
Dossey, Schielack - Mathematics for Elementary School
Teachers (3rd), Addison-Wesley |
|
|
|
| 203 |
Data Analysis, Geometry, and
Measurement for the Primary Grades Teacher |
TBA |
|
|
|
| 207 |
Mathematics for the Teacher of
the Exceptional Learner |
O'Daffer, Charles, Cooney,
Dossey, Schielack - Mathematics for Elementary School
Teachers (4th), Addison-Wesley |
|
|
|
| 215 |
Discrete Systems |
Kenneth H. Rosen-Discrete Mathematics and its Applications (6th), McGraw-Hill. |
Chapters 1-9, with some sections
omitted at the discretion of the instructor. Instructors may need to supplement the
material on number systems. |
|
|
| 217 |
Linear Algebra |
David C. Lay, Linear Algebra and its Applications
(3rd, updated), Addison-Wesley. |
Core sections are sections
1.1-1.9, 2.1-2.3, 3.1-3.3, 4.1-4.7, 5.1-5.4, 6.1-6.3, 6.5, and 7.1.
Several applications should also be included and may be chosen from sections
1.10, 2.6, 2.7, 4.8, 4.9, 5.6, 5.7, 6.6, and 7.5. As time allows, advanced
topics, selected from sections 2.5, 5.5, 6.4, 6.7, 6.8, 7.2, 7.3, and 7.4,
should be included. |
Mathematica Tutorial and Sample Labs |
|
| 221 |
Probability and Statistics |
Allan Rossman, Beth Chance - Investigating Statistical Concepts, Applications and Methods, Brooks/Cole. |
|
|
|
| 222 |
Statistical Studies |
Allan Rossman, Beth Chance - Investigating Statistical Concepts, Applications and Methods, Brooks/Cole. |
|
|
|
| 250 |
Pre-college Mathematics From an
Advanced Viewpoint |
No Text |
|
|
|
| 267 |
Calculus 3 |
James Stewart-Calculus Early Transcendentals (5th),
Brooks/Cole. |
Chapters
12, 13, 14, 15, and 16. The required portion of Chapter 13 consists of
sections 13.1, 13.2, and the portion of 13.3 treating arc length. The
remainder of Chapter 13 is optional, and should be saved until the end of the
course. |
Mathematica Tutorial and Sample Labs |
|
| 271 |
Math Contest Problem Solving |
No Text |
|
|
|
| 298 |
Undergraduate Colloquium |
No Text |
|
|
|
| 299X |
Experimental/ Developmental
Topics |
TBA |
Topics and textbook will vary. |
|
|
| 310 |
Topics in Algebra for the
Elementary and Middle School Teacher |
No Text |
|
|
|
| 311 |
Algebraic Structures |
Thomas Hungerford, Abstract Algebra: An Introduction
(2nd), Saunders College Publishing/Harcourt Brace. |
Chapters 1-4, parts of chapters 5 and
6, first half of chapter 7. |
|
|
| 316 |
Topics in Number Theory for the
Elementary and Middle School Teacher |
No Text |
|
Thomas Koshy, Elementary Number Theory with Applications (2002), Harcourt/Academic Press. |
|
| 320 |
Probability |
Hogg and Tanis-Probabilty and Statistical Inference
(7th), Prentice Hall. |
|
|
|
| 321 |
Mathematical Statistics |
Hogg and Tanis-Probabilty and Statistical Inference
(7th), Prentice Hall. |
|
|
|
| 330 |
Technology in Elementary and
Middle School Mathematics |
Key, Math Ed
Software Bundle (Optional), Key College Publishing. |
|
|
|
| 331 |
Technology in the Teaching of
Secondary Mathematics |
Key, Math Ed
Software Bundle (Optional), Key College Publishing. |
|
|
|
| 335 |
Mathematical Models |
Douglas Mooney and Randall
Swift-A Course in Mathematical Modeling, Mathematical Association of America. |
|
|
|
| 345 |
Survey of Geometries |
Michael Henle-Modern Geometries-Non-Euclidean, Projective and Discrete (2cd), Prentice Hall. |
The core of the course material
is chapters 1 through 10 of Henle.
It may be necessary to use other sources to cover the classical
theorems of Euclidean geometry. |
Geometer's Sketchpad and
Mathematica may be used. Wallace,
E.C & West, S. F., Roads to Geometry (2nd); Perry, E., Geometry: Axiomatic
Developments with Problem Solving; Eves, H., College Geometry; Thomas,
D., Modern Geometry; Blair, David E., Inversion Theory and Conformal Mapping;
Coxeter, H. S. M., Introduction to Geometry (2nd); Faber, Richard L., Foundations
of Euclidean and Non-Euclidean, Geometry; Feeman,
Timothy G., Portraits of the Earth: A Mathematician
Looks at Maps; Jennings, George A., Modern Geometry with Applications. |
|
| 351 |
Mathematics of Finance |
Steven Kellison-The Theory of Interest (2cd) |
The syllabus for the second
actuarial exam includes most of Chapters 1-8 of this book. |
Broverman, Mathematics
of Investment and Credit; Parmenter, The Theory of Interest and Life Contingencies with Pension
Applications. |
|
| 355 |
Topics in Actuarial Science
(Section 1) |
Samuel A. Broverman, ACTEX Study Manual for the SOA Exam P and CAS Exam 1, 2006 Edition, |
|
|
|
| 355 |
Topics in Actuarial Science (355a
Section 1) |
Matthew Hassett, Amy Steeby,
ACTEX Study Manual for the SOA Exam FM and CAS Exam 2 (2007) |
|
|
|
| 360 |
Topics in Geometry for the
Elementary and Middle School Teacher |
Eugene Krause, Taxicab Geometry: An
Adventure in Non-Euclidean Geometry, Dover. Edwin A. Abbott, Flatland: A Romance
of Many Dimensions, Dover. L. Kristine Kinsey, Teresa E. Moore, Symmetry, Shape and Space:
An Introduction to Mathematics Through Geometry (2002), Key College Publishing. |
|
|
|
| 362 |
Numerical Analysis 1 |
Ward Cheney, David Kincaid, Numerical Mathematics and Computing
(6th), Brooks/Cole. |
Chapters 1-10, 12 |
Atkinson, An
Introduction to Numerical Analysis, (2nd); Burden
and Faires, Numerical Analysis (7th); Issacson and Keller, Analysis
of Numerical Methods; Lindfield and Penny, Numerical Methods Using Matlab (2nd);
Van Loan, Introduction to Scientific Computing (2nd) |
|
| 363 |
Numerical Analysis 2 |
Ward Cheney, David Kincaid, Numerical Mathematics and Computing
(6th), Brooks/Cole. |
Chapters 11, 13-17 |
Atkinson, An
Introduction to Numerical Analysis, (2nd); Burden
and Faires, Numerical Analysis (7th); Issacson and Keller, Analysis
of Numerical Methods; Bau and Trefethen, Numerical Linear Algebra; Varga, Matrix Iterative Analysis |
|
| 368 |
Unpaid Professional Experience in
Mathematical Sciences |
No Text |
|
|
|
| 369 |
Paid Professional Experience in
Mathematical Sciences |
No Text |
|
|
|
| 371 |
Intermediate Analysis |
Stephen Abbot, Understanding Analysis (Springer) |
Chapters 1, 2, 3 (first part),
4, 5, and 7, (6 if possible - portions of Chapter 6 can be included while
covering chapter 7). |
Gerald G. Bilodeau and Paul R.
Thie, An Introduction to Analysis, McGraw-Hill, 1997, Ch. 1 – 5. (Taylor’s Theorem is
in 6.4.); • William R. Wade, An Introduction
to Analysis (3rd edition), Prentice Hall, 2003, Ch.
1 – 5 (skip enrichment sections); Robert G. Bartle and Donald R.
Sherbert, Introduction to Real Analysis (3rd
edition), John Wiley and Sons, 2000, (Ch. 1 –
7); • Kenneth A. Ross, Elementary
Analysis: The Theory of Calculus, Springer-Verlag, 1980, Ch. I – III, V – VI (skip
starred sections). |
|
| 374 |
Differential Equations |
Boyce and Diprima-Elementary Differential Equations and Boundary Value Problems (8th), Wiley. |
Chapters 1, 2, 3, 4, 6.1, 6.2,
and 7 form the core material. The
rest of the course is at the discretion of the instructor. Possible topics: Chapters 6.3-6.6 (Laplace Transform in
more detail); 5 (Power Series solutions); 8 (Numerical Methods); 9 (Nonlinear
Differential Equations and Stability). |
Rainville, Rainville, and
Bedient, Elementary Differential Equations (8th ed); Edwards and Penny, Differential
Equations and Boundary Value Problems, Computing and Modeling; Zill and Cullen, Differential
Equations with Boundary Value Problems (4th ed). |
|
| 377 |
Complex Analysis |
James Ward Brown and Ruell V.
Churchill-Complex Variables and ApplicationsAnalysis (7th), McGraw-Hill. |
The course material is contained
in Chapters 1 through 9. |
|
|
| 390 |
Honors Colloquium in Mathematics |
TBA |
|
|
|
| 391 |
Teaching and Learning Mathematics
in the Elementary School |
John A. Van de Walle - Elementary and Middle School Mathematics (6th), Allyn and Bacon. |
|
|
|
| 392 |
Teaching Mathematics to Learners
with Disabilities |
John A. Van de Walle - Elementary and Middle School Mathematics (6th), Allyn and Bacon. |
|
|
|
| 393 |
Teaching and Learning Mathematics
in the Middle School |
Rubenstein, Beckmann, &
Thompson - Teaching and Learning Middle Grades Mathematics, Key College Press (2004);
Principles and Standards for School
Mathematics, National Council of Teachers of
Mathematics, (2000). |
|
|
|
| 395 |
Teaching and Learning Mathematics
in the Secondary School |
Daniel Brahier, Teaching Secondary and Middle School Mathematics (Second
Edition), Pearson Education, 2005; Empowering
the Beginning Teacher of Mathematics in High School,
National Council of Teachers of Mathematics, 2004. Principles
and Standards for School Mathematics, National
Council of Teachers of Mathematics, 2000.
|
|
|
|
| 399 |
Theory and Practice in Middle
School Mathematics |
TBA |
|
|
|
| 411 |
Abstract Algebra 1 |
John B. Fraleigh, A First Course in Abstract Algebra
(7th), Addison-Wesley, 2002. |
Chapters
0-17,34-40. |
David S. Dummit & Richard M.
Foote, Abstract Algebra (2nd). Portions of Chapters 1-6. |
|
| 412 |
Abstract Algebra 2 |
John B. Fraleigh, A First Course in Abstract Algebra
(7th), Addison-Wesley, 2002. |
Chapters
18-33,45-56. |
David S. Dummit & Richard M.
Foote, Abstract Algebra (2nd). Portions of Chapters 7-9, 13-14. |
|
| 415 |
Mathematics of Coding and
Communication |
Michael and Rosen-Applications
in Discrete Mathematics |
Topics will vary. |
Error-correcting codes: Berlekamp, Algebraic Coding Theory; Conway and
Sloane, Sphere Packings, Lattices and Groups. Cryptography: Koblitz, A
Course in Number Theory and Cryptography; Menezes,
Van Oorschot and Vanstone, Handbook of Applied
Cryptography;
Salomaa, Public-key Cryptography. Graph theory: Goodaire and Parmenter, Discrete Mathematics with Graph Theory. |
|
| 416 |
Theory of Numbers |
Kenneth H. Rosen, Elementary Number Theory and its Applications (5th), Addison Wesley. |
|
David M. Burton, Elementary Number Theory. |
|
| 422 |
Theory of Sampling and Surveys |
William G. Cochran, Sampling Techniques (3rd), Wiley and
Sons. |
|
Sukhatme, P. V., Sukhatme, B.
V., Sukhatme, S., and Asok, C., Sampling Theory of Surveys with Applications; Valliant, R., Dorfman, A. H., and Royal, R. M., Finite
Population Sampling and Inference: A Prediction Approach. |
|
| 428 |
Regression and Time Series Models |
Bruce L. Bowerman, Richard
T.O’Connell, and Anne B.
Koehler, Forecasting, Time Series and Regression –
An Applied Approach (Fourth edition), Duxbury
publishers |
|
Miller, Robert B. and Wichern,
Dean W., Intermediate
Business Statistics: Analysis of Variance, Regression, and Time Series; Mendenhall, William and Sinchich, Terry, A Second Course in Business Statistics
(5th); Robert S. Pindyck and Daniel Rubenfeld, Economic
Models and Economic Forecasts (4th), McGraw-Hill. |
|
| 429 |
Analysis of Variance in
Experimental Design Models |
Douglas C. Montgomery-Design and Analysis of Experiments
(6th), Wiley and Sons. |
|
Graybill, Franklin A., Theory and Application of the Linear Model. ; John, Peter W. M., Statistical
Design and Analysis of Experiments; Leik, Robert K.,
Experimental Design and Analysis of Variance. |
|
| 441 |
Geometry and Topology |
Stephen C. Carlson-Topology of Surfaces, Knots, and Manifolds: A First
Undergraduate Course |
This text will serve for a basic
introduction to topology.
However, some selected topics might be treated in more depth than
suggested in this text. |
|
|
| 445 |
Differential Geometry |
Barrett O’Neill, Elementary Differential Geometry (2nd),
Academic Press, Harcourt Brace, Jovanovich. |
|
Manfredo do Carmo, Differential Geometry of Curves and Surfaces; Alfred Gray, Modern Differential
Geometry of Curves and Surfaces with Mathematica,
(2nd). |
|
| 452 |
Mathematics of Life Contingencies
1 |
Bowers, Gerber, Hickman, Jones,
and Nesbitt, Actuarial Mathematics (2cd), Society of Actuaries. |
The syllabus for the third
actuarial exam includes most of Chapters 3-10 of this book. |
Jordan, Life
Contingencies; Parmenter, The
Theory of Interest and Life Contingencies with Pension Applications. |
|
| 453 |
Mathematics of Life Contingencies
2 |
Bowers, Gerber, Hickman, Jones,
and Nesbitt, Actuarial Mathematics (2cd), Society of Actuaries. |
The syllabus for the third
actuarial exam includes most of Chapters 3-10 of this book. |
Jordan, Life
Contingencies; Parmenter, The
Theory of Interest and Life Contingencies with Pension Applications. |
|
| 454 |
Mathematics of Investments |
Zvi Bodie, Alex Kane, and Alan
J. Marcus, Investments (6th),
McGraw Hill/Irwin. |
|
Frank J. Fabozzi, The Handbook of Fixed Income Securities |
|
| 456 |
Introduction to Operations
Research |
Hiller and Lieberman, Introduction to Operations Research
(8th), McGraw-Hill. |
Chapters 1 (Introduction); 3, 4,
5, 6.1-6.4 (Linear Programming); 8, 9 (Transportation and Network); 11.1,
11.3 (Dynamic Programming); 11
(Integer Programming); 12 (Optimal Nonlinear Programming) |
Winston, Operations
Research (3rd); Ecker and Kupferschmid, Introduction to Operations Research
|
|
| 457 |
Loss Distributions |
Klugman, S.A., Panjer, H.H. and
Willmot, G.E, Loss Models: From Data to Decisions, (2cd), 2004 |
|
Mahler, H.C., and Dean C.G., Chapter 8, “Credibility”,
(available as SN C-21-01); Dean, C.G., Topics in
Credibility Theory, (Study Note C-24-05); Course 3 Study Note No. 3-23-02 and Credibility Study Note No. 4-21-01. (Both study notes are downloadable
from the Society's web site - www.soa.org.) |
|
| 458 |
Practicum in Actuarial Science |
No Text |
Because the topics of the
practicum change annually, the course has no pre-assigned text. Participating actuaries may require
course reading for their individual segments. |
|
|
| 460 |
History of Mathematics |
David Burton, The History of Mathematics: An Introduction (6th), McGraw-Hill. |
|
C. Boyer, A
History of Mathematics (2cd); R. Calinger, Classics of Mathematics; R. Calinger, A Contextual History of Mathematics;
W. Dunham, Journey Through Genius; Euclid, The Thirteen Books of
Euclid’s Elements, Translated with commentary by Sir Thomas Heath; H. Eves, An Introduction to the
History of Mathematics (5th); M. Kline, Mathematical Thought from Ancient to Modern Times; D. Struik (Ed.), A Source Book in
Mathematics 1200-1800; Victor Katz-A History of Mathematics |
|
| 465 |
Computational Techniques of
Financial Mathematics |
John C. Hull, Options, Futures, and Other Derivative Securities. |
Chapters 1-14
and 16-17, with emphasis on Chapter 14. |
|
|
| 471 |
Real Analysis 1 |
Rudin-Principles
of Mathematical Analysis (3rd), McGraw-Hill. |
Chapters 1, 2, 3 (part), 4, 5, 9
(part). |
Tom M. Apostol, Mathematical Analysis (2nd) (Chapters
1, 3, 4, 5, 12, and Chapter 2, 2.10-2.15); R. Creighton Buck, Advanced Calculus (3rd) (Chapters 1, 2,
3, 7 (part)); Steven A. Douglass, Introduction to
Mathematical Analysis (Chapters 1, 2, 3, 4, 8). |
|
| 472 |
Real Analysis 2 |
Rudin-Principles
of Mathematical Analysis (3rd), McGraw-Hill. |
Chapters 3 (part),6,7,9
(part),10 (part). |
Tom M. Apostol, Mathematical Analysis (2nd) (Chapters
6, 7, 8, 9, 13, 14); R. Creighton Buck, Advanced
Calculus (3rd) (Chapters 4, 5, 6, 7 (part), 8);
Steven A. Douglass, Introduction to Mathematical
Analysis, (Chapters 5, 6, 7, 9, 10, 11, 12). |
|
| 473 |
Boundary Value Problems |
David Powers, Boundary Value Problems (5th),
Elsevier. |
A review of ordinary
differential equations is included as Chapter 0. The core material is Chapters
1-5. Additional topics at the
discretion of the instructor may be found in the text. |
G. P. Tolstov, Fourier Series; Richard Haberman,
Applied Partial Differential Equations with Fourier Series and Boundary Value
Problems (4th ed); George A. Articolo, Partial
Differential Equations and Boundary Value Problems with Maple V; R.V. Churchill, Fourier Series and
Boundary Value Problems; Nahkle Asmer, Partial
Differential Equations and Boundary Problems (2cd ed). |
|
| 475 |
Topics in Partial Differential
Equations |
Stavroulakis, Ioannis and
Tersian, Stepan, Partial Differential Equations (Second
Edition), an Introduction with Mathematica and MAPLE |
Relevant material is in Chapters
1-4, 6, 7. |
Dimitri Vvedensky, Partial Differential Equations and Mathematica; Robert McOwen, Partial Differential
Equations, Methods and Applications; Donald
Greenspan, Introduction to Partial Differential
Equations; Richard Haberman, Applied Partial Differential Equations with Fourier Series and
Boundary Value Problems (4th); Arthur David Snider, Partial Differential Equations, Sources and Solutions; Walter Strauss, Partial Differential
Equations; E. C. Zachmanoglou and Dale W. Thoe, Introduction to Partial Differential Equations with Applications; Fritz John, Partial Differential
Equations; J. Kevorkian, Partial
Differential Equations, Analytical Solution Techniques (2cd); Kythe, Puri, Schafferkotter, Partial
Differential Equations and Boundary Value Problems with Mathematica (2cd). |
|
| 497 |
Student-Faculty Colloquium |
TBA |
Topics and textbook will vary. |
|
|
| 498 |
Senior Seminar |
TBA |
Topics and textbook will vary. |
|
|
| 499 |
Reading and Honors |
TBA |
Topics and textbook will vary. |
|
|
|
|
|
|
|
|