Catalog Description: Credit 3. Class 3.
Theory and practice of public speaking; training in thought process necessary to organize speech content for informative and persuasive situations; application of language and delivery skills to specific audiences. A minimum of 5 speaking situations.
Prerequisite: None
Corequisite: None
Textbooks: S.E Lucas, The Art of Public Speaking, 7^{th} ed. Boston, MA, McGrawHill Publishing, 2001.
J. Cochrane and A. Thedwall, The Coursebook to Accompany The Art of Public Speaking. 5^{th} ed. Boston, MA, McGrawHill Custom Publishing.
Coordinator: J. Cochrane, Course Director; Kate Thedwall, Assistant Course Director
Goals: To provide the opportunity for students to practice the art of public speaking in both informative and persuasive situations and to assist them in developing critical thinking skill as they listen to the speaking of others. Our goal is to do these things in the context of the university's Principles of Undergraduate Learning.
Course Outcomes: Refer to Page 3 of the Student Coursebook to Accompany the Art of Public Speaking, 5^{th} ed.
Computer Usage: There is use of PowerPoint during speeches and Oncourse usage (posting homework and online testing.)
Professional Component: Communications and Ethics (General Education)
Prepared by: Jennifer Cochrane
Revised: April 22, 2002
Required Course: ENG W131 Elementary Composition I
Catalog Description Credit 3. Class 3.
Fulfills the communications core requirement for all undergraduate students and provides instruction in exposition (the communication of ideas and information with clarity and brevity). The course emphasizes audience and purpose, revision, organization, development, advanced sentence structure, diction, development within a collaborative classroom. Evaluation is based upon a portfolio of the student’s work.
Prerequisite: Students must place into W131 through the IUPUI Placement Exam or by passing W130, Principles of Composition.
Textbooks: J. D Ramage, J.C. Bean, and J. Johnson. The Allyn & Bacon Guide to Writing, 3^{rd} edition. New York: Longman, 2003. ISBN 0321106229.
Coordinator: Dr. Scott Weeden, Lecturer in English
Goals: To facilitate the practice and learning of written communication for the academy.
Course Outcomes:
Upon successful completion of the course, students should be able to:

Think like a writer;

Form and support a thesis;

Integrate and synthesize other’s ideas with their own and cite information correctly;

Develop planning, drafting, and revising processes;

Work productively in groups;

Edit and revise effectively.
Topics:

Writing Process including heuristics, gathering, drafting, collaborating, revising, editing.

Role of purpose and audience.

Specific and appropriate detail.

Thesis development and support.

Critical reading and thinking.

Analysis of one’s own work and the work of others.

Summary.

Response to writing – both personal and academic.

Organization and logical presentation of material.

Synthesis and integration.

Collaboration and consensus.

Revision strategies.

MLA documentation.

Stylistic strategies.

Editing strategies.

Metawriting.

Portfolio assembly.
Computer Usage: Most sections use Oncourse for communication. Some sections meet in a computer classroom. All sections require formal work be typed.
Evaluation Methods: Midterm and final portfolios.
30% of final grade from midterm portfolio.
10% of final grade from participation.
60% of final grade from the final portfolio.
No exams are given.
Professional Component: Communications and Ethics (General Education)
Prepared by: Mary Sauer
Revised: October 17, 2003
Required Course ECON E201Introduction to Microeconomics
Catalog Description Credit 3. Class 3.
E201 is a general introduction to microeconomic analysis. Discussed are the methods of economics, scarcity of resources, the interaction of consumers and businesses in the marketplace in order to determine price, and how the market system places a value on factors of production.
Prerequisite: Sophomore standing
Corequisite: None
Textbook: M. Parkin, Microeconomics, AddisonWesley, sixth edition.
Coordinator: Subir K. Chakrabarti, Professor of Economics
Goals: To teach sophomore students in business and economics the basic principles of microeconomic analysis like supply and demand, pricing behavior and the principles of gains from trade.
Outcomes:
Upon successful completion students should be able to:

Understand supply and demand diagrams and find the equilibrium price and output.

Compute the elasticity of demand and supply.

Understand the principles of consumer behavior.

Understand the relationship between output and costs.

Distinguish between the concepts of technical and economic efficiency.

Understand how price and output is determined in the four different market structures.

Discuss when there is a case for regulating a market.

Understand the concept of externalities and of market failure in the presence of externalities.

Fully understand the principle of comparative advantage and its role in free trade.

Discuss the losses that result from tariffs and quotas.
Topics:
1. Production Possibilities

Opportunity Costs

Supply and Demand

Price Floors and Price Ceilings

Elasticity

Consumer Behavior

Cost curves

Short run Competitive supply

Longrun Competitive equilibrium

Monopoly and Perfect competition

Regulation

Externality

Comparative advantage

Tariffs and Quotas.
Evaluation Methods: Four homework assignments, four quizzes, three in class tests and a final.
Professional Component: General Education
Prepared by: Subir K. Chakrabarti
Revised: November 6, 2003
Required Course: MATH 163 Integrated Calculus and Analytic Geometry I
Catalog Description: Credit 5. Class 5.
Review of plane analytic geometry and trigonometry, functions, limits, differentiation, applications of differentiation, integration, the Fundamental Theorem of Calculus, and applications of integration.
Prerequisite: Completion of MATH 151 (or the equivalent) within the past two academic years with a minimal grade of C, or direct placement via the COMPASS Mathematics Placement Test taken within the past academic year. College algebra, geometry, and trigonometry.
Textbook: E. Swokowski, Calculus, Classic Edition, Brooks/Cole Publishing Company, 1991, ISBN 0534924921.
Coordinator: Owen Burkinshaw, Professor of Mathematical Sciences
Goals: This course is the first of a 3course calculus sequence for students majoring in Mathematics, Science, and Engineering. Its focus is on single variable Calculus. Students should be exposed to some theory, but they must also certainly be taught how to perform routine calculations and solve applied problems such as those in the text.
Outcomes:
After completion of this course, the students should be able to:

Understand the concept of (one and twosided) limit

Be able to compute limits for rational and trigonometric functions

Understand the concept of continuity

Be able to determine where rational and trigonometric functions are continuous

Understand the concept of derivative

Be able to compute derivatives for rational, algebraic, trigonometric, and composite functions

Be able to solve a variety of problems using the derivative (these problem including linear approximation of functions, related rate problems, optimization of functions, and the graphing of functions)

Understand the concept of integral

Be able to compute integrals of polynomial and simple trigonometric functions using the Fundamental Theorem of Calculus

Be able to find areas and volumes of various simple solids (such as solids of revolution) using integration.
Topics:
The following outline is based on 3 periods per week for a 15 week semester (1 period = 85 class minutes). The number of periods per chapter is only a guide  the actual number may vary from section to section. Since many other courses have this course as a co or prerequisite, all material described below are covered.

A Preview of Calculus (1 period)

Functions (3 periods)

Limits and Rates of Change (6 periods)

Derivatives (10 periods

Applications of Differentiation (9 periods)

Integration (5 periods)

Applications of Integration (5 periods)

Slack time, review and exams (6 periods)
Computer Usage: Students will use computers to perform laboratory projects in Maple or MATLAB (see below).
Laboratory Projects: A set of computer projects (available in hardcopy and on the Internet) will also be covered. These projects are aimed at illustrating how technology can be used to do certain exercises and problems, at covering material more appropriate for a laboratory than a lecture, at covering material of less relative significance outside class, and at preparing students for things that will be expected of them in future courses (not just in mathematics and statistics, but also in science and engineering). Since these projects are a prerequisite for MATH 164 and MATH 261, they must be covered.
Evaluation Methods: Homework, quizzes, computer projects, 3 semester tests, and a final exam.
Professional Component: Mathematics and Physical Sciences
Prepared by: Owen Burkinshaw
Revised: November 12, 2003
Required Course: MATH 164 Integrated Calculus and Analytic Geometry II
Catalog Description Credit 5. Class 5.
Transcendental functions, techniques of integration, indeterminate forms and improper integrals, conics, polar coordinates, sequences, infinite series and power series.
Prerequisites Completion of MATH 163 within the past two academic years with a minimal grade of C, or direct placement via the COMPASS Mathematics Placement Test taken within the past academic year.
Prerequisite by Topics: An understanding of the theory, and an ability to apply, the concepts of limit, continuity, derivative, and integral. Limit, continuity, and derivative computations are for rational, algebraic, and trigonometric functions; integral computations are for polynomial and simple trigonometric functions.
Textbook: E. Swokowski, Calculus, Classic Edition, Brooks/Cole, Publishing Company, 1991, ISBN 0534924921.
Coordinator: Owen Burkinshaw, Professor of Mathematical Sciences
Goals: This course is the second of a 3course calculus sequence for students majoring in Mathematics, Science, and Engineering. Its focus is on the Calculus of the transcendental functions. Students should be exposed to some theory, but they must also certainly be taught how to perform routine calculations and solve applied problems such as those in the text.
Course Outcomes:
After completion of this course, the students should be able to:

Define algebraic and differential properties of the logarithmic and exponential functions (both natural and general), and the inverse trigonometric functions.

Integrate using usubstitution, parts, trigonometric substitution and partial fractions, as well as approximate an integral using Riemann sums, the Trapezoidal Rule or Simpson’s Rule.

Compute arc length and the moments of a planar lamina, to solve problems involving exponential growth and decay and to solve firstorder differential equations using separation of variables and Euler’s method.

Be familiar with parametric equations, polar coordinates and the conic sections.

Approximate a function of one variable using Maclaurin or Taylor series and compute its interval of convergence.
Topics:
The following outline is based on 3 periods per week for a 15 week semester (1 period = 85 class minutes). The number of periods per chapter is only a guide  the actual number may vary from section to section. Since many other courses have this course as a co or prerequisite, all material described below will be covered.

Logarithmic Functions (5 periods)

Inverse functions (3 periods)

Techniques of Integration (7 periods)

Improper Integrals (4 periods)

Infinite Sequences and Series (11 periods)

Analytic Geometry (4 periods)

Polar Coordinates (4 periods)

Slack time, review and exams (7 periods)
Computer Usage: Students will use computers to perform laboratory projects in Maple or MATLAB (see below).
Laboratory Projects: A set of computer projects (available in hardcopy and on the Internet) will also be covered. These projects are aimed at illustrating how technology can be used to do certain exercises and problems, at covering material more appropriate for a laboratory than a lecture, at covering material of less relative significance outside class, and at preparing students for things that will be expected of them in future courses (not just in mathematics and statistics, but also in science and engineering). Since these projects are a prerequisite for MATH 261, they must be covered.
Evaluation Methods: Homework, quizzes, computer projects, 3 semester tests , and a final exam.
Professional Component: Mathematics and Physical Sciences
Prepared by: Owen Burkinshaw
Revised: November 12, 2003
Required Course: MATH 261 Multivariate Calculus
Catalog Description: Credit 4. Class 4.
Spatial analytic geometry, vectors, curvilinear motion, curvature, partial differentiation, multiple integration, line integrals, Green's theorem.
Prerequisites: Completion of MATH 164 within the past two academic years with a minimal grade of C, or direct placement via the COMPASS Mathematics Placement Test taken within the past academic year.
Prerequisite by Topics: An understanding of the theory, and an ability to apply, the concepts of limit, continuity, derivative, and integral for rational, algebraic, trigonometric, logarithmic and exponential functions of one variable.
Textbook: E. Swokowski. Calculus, Classic Edition, Brooks/Cole Publishing Company, 1991, ISBN 0534924921.
Coordinator: Owen Burkinshaw, Professor of Mathematical Sciences
Goals: This course is the third of a 3course calculus sequence for students majoring in Mathematics, Science, and Engineering. Its focus is on the Calculus of several variables. Students should be exposed to some theory, but they must also certainly be taught how to perform routine calculations and solve applied problems such as those in the text.
Outcomes:
After completion of this course, the students should be able to:

Understand vectors, the geometry of threespace, cylindrical and spherical coordinates.

Understand curves in space and able to compute their arc length, velocity and acceleration vectors and curvature

Understand the concept of partial derivative and able to apply it to problems of optimization (including problems involving Lagrange Multipliers)

Understand the concepts of double and triple integrals and be able to apply them to computation of areas, volumes, masses and moments in rectangular, cylindrical and spherical coordinates

Apply the concept of change of variables for multiple integrals to some elementary problems

Understand the basics of vector calculus, including vector fields, line integrals, the Fundamental Theorem for Line Integrals, Green’s Theorem, surface integrals, Stokes’ Theorem and the Divergence Theorem.
Topics:
The following outline is based on 3 periods per week for a 15 week semester (1 period = 85 class minutes). The number of periods per chapter is only a guide  the actual number may vary from section to section. Since many other courses have this course as a co or prerequisite, all material described below will be covered.

Vectors and the Geometry of Space (7 periods)

Vector Functions (4 periods)

Partial derivatives (8 periods)

Multiple Integrals (9 periods)

Vector Calculus (9 periods)

Slack time, review and exams (8 periods)
Computer Usage: Students will use computers to perform laboratory projects in Maple or MATLAB (see below).
Laboratory Projects: A set of computer projects (available in hardcopy and on the Internet) will also be covered. These projects are aimed at illustrating how technology can be used to do certain exercises and problems, at covering material more appropriate for a laboratory than a lecture, at covering material of less relative significance outside class, and at preparing students for things that will be expected of them in future courses (not just in mathematics and statistics, but also in science and engineering). Since these projects are a prerequisite for subsequent courses, they must be covered.
Evaluation Methods: Homework, quizzes, computer projects, 3 semester tests, and a final exam.
Professional Component: Mathematics and Physical Sciences
Prepared by: Owen Burkinshaw
Revised: November 12, 2003
Required Course: MATH 262: Linear Algebra and Differential Equations
Catalog Description Credit 4. Class 4.
Firstorder equations, higherorder linear equations, initial and boundary value problems, power series solutions, systems of firstorder equations, Laplace transforms, applications. Requisite topics of linear algebra: vector spaces, linear independence, matrices, eigenvalues, and eigenvectors.
Prerequisites: Completion of MATH 164 within the past two academic years with a minimal grade of C. Corequisite: MATH 261. Prerequisites by topic: Transcendental functions, methods of differentiation and integration, partial differentiation and integration, implicit functions, power series, improper integrals.
Textbook: D.G. Zill, First Course in Differential Equations, Classic 5th Ed., 2001, Brooks/Cole, ISBN 0534373887
Coordinator: Michael Frankel, Professor of Mathematical Sciences
Goals: In this course, the student will acquire knowledge of specific mathematical techniques in Differential Equations, and develop basic modeling and problemsolving skills. The student will also be exposed to some abstract reasoning in a mathematical context.
Outcomes:
After completion of this course, the students should be able to:

Identify and solve Initial Value Problems for the First Order DE including Separable, Linear, Exact, Homogeneous and Bernoulli type equations

Set up and solve some application problems leading to FirstOrder Differential Equations

Solve a HigherOrder Linear Homogeneous and NonHomogeneous equations with Constant Coefficients and of CauchyEuler type using Reduction of Order, Undetermined coefficient and Variation of Parameters. Solve some nonlinear secondorder equations of special type using appropriate substitutions

Ser up and solve some basic application problems leading to SecondOrder DE (mostly harmonic oscillators in mechanical or electrical circuit context with or without forcing free or damped. Solve some basic SturmLiuville problems

Find a power series solutions of SecondOrder Differential Equations about ordinary points.

Find Laplace transform and inverse Laplace transform of various functions using operational properties, solve Initial Value Problems using Laplace transform

Learn basic operations on matrices, determinants, inverses, GaussJordan elimination, differentiation and integration, solve eigenvalue problems.

Solve systems of Ordinary Differential Equations. Solve nonhomogeneous systems using fundamental matrices and variation of parameters.
Topics:
The following outline is based on 3 periods per week for a 15 week semester (1 period = 85 class minutes). The number of periods per chapter is only a guide  a rather large amount of slack/review time allows a greater degree of flexibility for the instructor to extend the lectures or discussions on the topics that the students may find particularly difficult, or to briefly review a concept or a method from Calculus.

Introduction to Differential Equations (2 periods)

FirstOrder Differential Equations (2.5 periods)

Modeling with FirstOrder Des (1.5 periods)

Differential equations of Higher Order (3.5 periods)

Modeling with Higher Order Des (1.5 periods)

Series Solutions of Linear Equations (1.5 periods)

Laplace transform (3 periods)

Introduction to Matrices (.5 periods)

Systems of Linear FirstOrder Des (3 periods)

Numerical Methods for Ordinary Differential Equations (3 periods)

Slack time, reviews and exams (7 periods)
Computer Usage: Maple and MATLAB packages and supervision are available for the students at the Department of Mathematical Sciences computer lab. The instructor may use a computer in the class to illustrate some modeling applications and numerical methods. (see below).
Laboratory Projects: No specific projects are assigned. However, the students are encouraged to use the Maple or MATLAB ODE Solvers and other packages available at the Department of Mathematical Sciences computer lab. This is mostly aimed at illustrating how technology can be used to obtain numerical solutions for the problems that are impossible to solve analytically or for graphical illustration/representation of solutions that can be obtained explicitly.
Evaluation Methods: Homework, quizzes, a midterm and a final exam.
