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Course Schedule for MATHEMATICS - Fall 2018

Class No.

Course ID

Title

Credits

Type

Instructor(s)

Days:Times

Location

Permission Required

Dist

Qtr

3398

MATH-107-01

Elements of Statistics

1.00

LEC

Mauro, David

MWF: 10:00AM-10:50AM

TBA

NUM

Enrollment limited to 35

Prerequisite: A satisfactory score on the Mathematics Placement Examination or a C- or better in Quantitative Literacy 101. Students who qualify for Mathematics 131 or 207 will not be eligible to enroll in this course.

A course designed primarily for students in the social and natural sciences. Topics include graphical methods, measures of central tendency and dispersion, basic probability, random variables, sampling, confidence intervals, and hypothesis testing. This course is not open to students with credit for Mathematics 131 or above, or who have placed into Mathematics 207 on the Mathematic Placement Examination.

3399

MATH-107-02

Elements of Statistics

1.00

LEC

Martin, Daniel

MWF: 12:00PM-12:50PM

TBA

NUM

Enrollment limited to 35

Prerequisite: A satisfactory score on the Mathematics Placement Examination or a C- or better in Quantitative Literacy 101. Students who qualify for Mathematics 131 or 207 will not be eligible to enroll in this course.

A course designed primarily for students in the social and natural sciences. Topics include graphical methods, measures of central tendency and dispersion, basic probability, random variables, sampling, confidence intervals, and hypothesis testing. This course is not open to students with credit for Mathematics 131 or above, or who have placed into Mathematics 207 on the Mathematic Placement Examination.

3400

MATH-114-01

Judgment and Decision Making

1.00

LEC

Pellico, Ryan

MWF: 10:00AM-10:50AM

TBA

NUM

Enrollment limited to 29

Prerequisite: A suitable score on the Mathematics Placement Exam and completion of QLIT101 with a grade of C- or better.

In this course, we consider the application of elementary mathematical analysis to various procedures by which societies and individuals make decisions. Topics may include weighted and unweighted voting, fair division of resources, apportionment of goods and representatives, and personal decision-making algorithms based upon utility, risk, probability, expectation, and various game-theoretic strategies in general. Examples may be drawn from medicine, law, foreign policy, economics, psychology, sports, and gambling.

3401

MATH-114-02

Judgment and Decision Making

1.00

LEC

Evans, Kyle

MWF: 11:00AM-11:50AM

TBA

NUM

Enrollment limited to 29

Prerequisite: A suitable score on the Mathematics Placement Exam and completion of QLIT101 with a grade of C- or better.

In this course, we consider the application of elementary mathematical analysis to various procedures by which societies and individuals make decisions. Topics may include weighted and unweighted voting, fair division of resources, apportionment of goods and representatives, and personal decision-making algorithms based upon utility, risk, probability, expectation, and various game-theoretic strategies in general. Examples may be drawn from medicine, law, foreign policy, economics, psychology, sports, and gambling.

3403

MATH-127-01

Functions, Graphs and Modeling

1.00

LEC

Khyat, Toufik

MWF: 9:00AM-9:50AM

TBA

NUM

Enrollment limited to 25

Prerequisite: A satisfactory score on the Mathematics Placement Examination or a C- or better in Quantitative Literacy 101. Students who qualify for Mathematics 131 or 207 will not be eligible to enroll in this course.

This course will focus on the study of functions and graphs and their uses in modeling and applications. Emphasis will be placed on understanding the properties of linear, polynomial, rational piecewise, exponential, logarithmic and trigonometric functions. Students will learn to work with these functions in symbolic, graphical, numerical and verbal form.

3404

MATH-127-02

Functions, Graphs and Modeling

1.00

LEC

Staff, Trinity

MWF: 12:00PM-12:50PM

TBA

NUM

Enrollment limited to 25

Prerequisite: A satisfactory score on the Mathematics Placement Examination or a C- or better in Quantitative Literacy 101. Students who qualify for Mathematics 131 or 207 will not be eligible to enroll in this course.

This course will focus on the study of functions and graphs and their uses in modeling and applications. Emphasis will be placed on understanding the properties of linear, polynomial, rational piecewise, exponential, logarithmic and trigonometric functions. Students will learn to work with these functions in symbolic, graphical, numerical and verbal form.

3390

MATH-131-01

Calculus I

1.25

LEC

Cunningham, Amy

MWF: 8:30AM-9:45AM

TBA

NUM

Enrollment limited to 25

Prerequisite: A satisfactory score on the Mathematics Placement Examination, or a grade of C- or better in Mathematics 107, 127, or 131.

The real number system, functions and graphs, continuity, derivatives and their applications, antiderivatives, definite integrals, and the fundamental theorem of calculus. Mathematics, natural science, and computer science majors should begin the Mathematics 131, 132 sequence as soon as possible. Not open to students who have received credit for Mathematics 126 or who have received credit by successful performance on the Advanced Placement Examination of the CEEB (see Catalogue section “Advanced Placement for First-Year Students”).

3391

MATH-131-02

Calculus I

1.25

LEC

Kreinbihl, James

MWF: 8:30AM-9:45AM

TBA

NUM

Enrollment limited to 25

Prerequisite: A satisfactory score on the Mathematics Placement Examination, or a grade of C- or better in Mathematics 107, 127, or 131.

The real number system, functions and graphs, continuity, derivatives and their applications, antiderivatives, definite integrals, and the fundamental theorem of calculus. Mathematics, natural science, and computer science majors should begin the Mathematics 131, 132 sequence as soon as possible. Not open to students who have received credit for Mathematics 126 or who have received credit by successful performance on the Advanced Placement Examination of the CEEB (see Catalogue section “Advanced Placement for First-Year Students”).

3392

MATH-131-03

Calculus I

1.25

LEC

Pellico, Ryan

MWF: 12:00PM-12:50PM T: 10:50AM-12:05PM

TBA

NUM

Enrollment limited to 25

Prerequisite: A satisfactory score on the Mathematics Placement Examination, or a grade of C- or better in Mathematics 107, 127, or 131.

The real number system, functions and graphs, continuity, derivatives and their applications, antiderivatives, definite integrals, and the fundamental theorem of calculus. Mathematics, natural science, and computer science majors should begin the Mathematics 131, 132 sequence as soon as possible. Not open to students who have received credit for Mathematics 126 or who have received credit by successful performance on the Advanced Placement Examination of the CEEB (see Catalogue section “Advanced Placement for First-Year Students”).

3393

MATH-131-04

Calculus I

1.25

LEC

Martin, Daniel

MWF: 8:30AM-9:45AM

TBA

NUM

Enrollment limited to 25

Prerequisite: A satisfactory score on the Mathematics Placement Examination, or a grade of C- or better in Mathematics 107, 127, or 131.

The real number system, functions and graphs, continuity, derivatives and their applications, antiderivatives, definite integrals, and the fundamental theorem of calculus. Mathematics, natural science, and computer science majors should begin the Mathematics 131, 132 sequence as soon as possible. Not open to students who have received credit for Mathematics 126 or who have received credit by successful performance on the Advanced Placement Examination of the CEEB (see Catalogue section “Advanced Placement for First-Year Students”).

3394

MATH-131-05

Calculus I

1.25

LEC

Russo, Paula

MWF: 12:00PM-12:50PM R: 10:50AM-12:05PM

TBA

NUM

Enrollment limited to 25

Prerequisite: A satisfactory score on the Mathematics Placement Examination, or a grade of C- or better in Mathematics 107, 127, or 131.

The real number system, functions and graphs, continuity, derivatives and their applications, antiderivatives, definite integrals, and the fundamental theorem of calculus. Mathematics, natural science, and computer science majors should begin the Mathematics 131, 132 sequence as soon as possible. Not open to students who have received credit for Mathematics 126 or who have received credit by successful performance on the Advanced Placement Examination of the CEEB (see Catalogue section “Advanced Placement for First-Year Students”).

3395

MATH-131-06

Calculus I

1.25

LEC

Ma, Lina

MWF: 8:30AM-9:45AM

TBA

NUM

Enrollment limited to 25

Prerequisite: A satisfactory score on the Mathematics Placement Examination, or a grade of C- or better in Mathematics 107, 127, or 131.

The real number system, functions and graphs, continuity, derivatives and their applications, antiderivatives, definite integrals, and the fundamental theorem of calculus. Mathematics, natural science, and computer science majors should begin the Mathematics 131, 132 sequence as soon as possible. Not open to students who have received credit for Mathematics 126 or who have received credit by successful performance on the Advanced Placement Examination of the CEEB (see Catalogue section “Advanced Placement for First-Year Students”).

3493

MATH-131-07

Calculus I

1.25

LEC

Khyat, Toufik

MWF: 12:00PM-12:50PM R: 10:50AM-12:05PM

TBA

NUM

Enrollment limited to 25

Prerequisite: A satisfactory score on the Mathematics Placement Examination, or a grade of C- or better in Mathematics 107, 127, or 131.

The real number system, functions and graphs, continuity, derivatives and their applications, antiderivatives, definite integrals, and the fundamental theorem of calculus. Mathematics, natural science, and computer science majors should begin the Mathematics 131, 132 sequence as soon as possible. Not open to students who have received credit for Mathematics 126 or who have received credit by successful performance on the Advanced Placement Examination of the CEEB (see Catalogue section “Advanced Placement for First-Year Students”).

3396

MATH-131-20

Calculus I Workshop

0.25

LAB

Russo, Paula

T: 10:50AM-12:05PM

TBA

Enrollment limited to 25

Corequisite: Must be enrolled in Mathematics 131 concurrently.

The Calculus I Workshop is a challenging, interactive group learning environment for interested students. Each workshop is typically based on a detailed set of worksheets which students work through in an interactive setting. Students are encouraged to “talk mathematics”, thinking aloud and working with other students. Workshop problems are based on the material covered in lecture, but they are designed to stretch each student’s abilities to the fullest extent. The students spend most of the workshop time collaborating in groups, grappling with difficult ideas and problems.

3397

MATH-131-21

Calculus I Workshop

0.25

LAB

Russo, Paula

T: 9:25AM-10:40AM

TBA

Enrollment limited to 25

Corequisite: Must be enrolled in Mathematics 131 concurrently.

The Calculus I Workshop is a challenging, interactive group learning environment for interested students. Each workshop is typically based on a detailed set of worksheets which students work through in an interactive setting. Students are encouraged to “talk mathematics”, thinking aloud and working with other students. Workshop problems are based on the material covered in lecture, but they are designed to stretch each student’s abilities to the fullest extent. The students spend most of the workshop time collaborating in groups, grappling with difficult ideas and problems.

3405

MATH-132-01

Calculus II

1.25

LEC

Wang, Stefanie

MWF: 8:30AM-9:45AM

TBA

NUM

Enrollment limited to 25

Prerequisite: C- or better in Mathematics 126 or 131, or an appropriate score on the AP Examination or Trinity's Mathematics Qualifying Examination.

Topics concerning the Riemann integral and its applications, techniques of integration, first-order ordinary differential equations, and sequences and series.

3406

MATH-132-02

Calculus II

1.25

LEC

Wyshinski, Nancy

MWF: 8:30AM-9:45AM

TBA

NUM

Enrollment limited to 25

Prerequisite: C- or better in Mathematics 126 or 131, or an appropriate score on the AP Examination or Trinity's Mathematics Qualifying Examination.

Topics concerning the Riemann integral and its applications, techniques of integration, first-order ordinary differential equations, and sequences and series.

1043

MATH-205-01

Abstraction and Argument

1.00

LEC

Wyshinski, Nancy

MWF: 10:00AM-10:50AM

TBA

NUM

Enrollment limited to 19

NOTE: This course is not recommended for distribution credit.

This course deals with methods of proof and the nature of mathematical argument and abstraction. With a variety of results from modern and classical mathematics as a backdrop, we will study the roles of definition, example, and counterexample, as well as mathematical argument by induction, deduction, construction, and contradiction. This course is recommended for distribution credit only for non-majors with a strong mathematical background.

3407

MATH-207-01

Statistical Data Analysis

1.00

LEC

Kreinbihl, James

MWF: 10:00AM-10:50AM

TBA

Y

NUM

Enrollment limited to 29

Prerequisite: A satisfactory score on the Mathematics Placement Examination, or a grade of C- or better in Mathematics 107, 127, or 131.

An introductory course in statistics emphasizing modern techniques of data analysis: exploratory data analysis and graphical methods; random variables, statistical distributions, and linear models; classical, robust, and nonparametric methods for estimation and hypothesis testing; analysis of variance and introduction to modern multivariate methods. Students with a strong mathematical background are advised to take Math 207 in place of Math 107. Those who successfully complete Math 107 may take Math 207 for credit due to its increased depth of coverage and breadth of topics.

3408

MATH-207-02

Statistical Data Analysis

1.00

LEC

Khyat, Toufik

MWF: 11:00AM-11:50AM

TBA

Y

NUM

Enrollment limited to 29

Prerequisite: A satisfactory score on the Mathematics Placement Examination, or a grade of C- or better in Mathematics 107, 127, or 131.

An introductory course in statistics emphasizing modern techniques of data analysis: exploratory data analysis and graphical methods; random variables, statistical distributions, and linear models; classical, robust, and nonparametric methods for estimation and hypothesis testing; analysis of variance and introduction to modern multivariate methods. Students with a strong mathematical background are advised to take Math 207 in place of Math 107. Those who successfully complete Math 107 may take Math 207 for credit due to its increased depth of coverage and breadth of topics.

3409

MATH-207-03

Statistical Data Analysis

1.00

LEC

Kreinbihl, James

MWF: 12:00PM-12:50PM

TBA

Y

NUM

Enrollment limited to 29

Prerequisite: A satisfactory score on the Mathematics Placement Examination, or a grade of C- or better in Mathematics 107, 127, or 131.

An introductory course in statistics emphasizing modern techniques of data analysis: exploratory data analysis and graphical methods; random variables, statistical distributions, and linear models; classical, robust, and nonparametric methods for estimation and hypothesis testing; analysis of variance and introduction to modern multivariate methods. Students with a strong mathematical background are advised to take Math 207 in place of Math 107. Those who successfully complete Math 107 may take Math 207 for credit due to its increased depth of coverage and breadth of topics.

3410

MATH-228-01

Linear Algebra

1.00

LEC

Lazarus, Lauren

MWF: 11:00AM-11:50AM

TBA

NUM

Enrollment limited to 19

Prerequisite: C- or better in Mathematics 132, 142, 205, 231 or 253, or consent of instructor.

A proof-based course in linear algebra, covering systems of linear equations, matrices, determinants, finite dimensional vector spaces, linear transformations, eigenvalues, and eigenvectors. Students may not count both Mathematics 228 and Mathematics 229 for credit towards the Math major.

3214

MATH-229-01

Applied Linear Algebra

1.00

LEC

Skardal, Per Sebastian

MWF: 11:00AM-11:50AM

TBA

NUM

Enrollment limited to 19

Prerequisite: C- or better in Mathematics 132, 142, 205, 231 or 253, or consent of instructor.

An introduction to linear algebra with an emphasis on practical applications and computation. Topics will be motivated by real-world examples from a variety of disciplines, for instance medical imaging, quantum states, Google’s PageRank, Markov chains, graphs and networks,difference equations, and ordinary and partial differential equations. Topics will include solvability and sensitivity of large systems, iterative methods, matrix norms and condition numbers, orthonormal bases and the Gram-Schmidt process, and spectral properties of linear operators. MATLAB will be used for coding throughout the course, although no previous experience is required. Students may not count both Mathematics 228 and Mathematics 229 for credit towards the Math major.

3411

MATH-231-01

Calculus III

1.25

LEC

Pellico, Ryan

MWF: 8:30AM-9:45AM

TBA

Y

NUM

Enrollment limited to 25

Prerequisite: C- or better in Mathematics 132 or 142.

Prerequisite: C- or better in Mathematics 132 or 142 and Mathematics 107 or permission of instructor.

An introduction to the basic mathematical tools used in the financial world. Topics may include simple and compound interest, periodic loans, present and future value, amortization, sinking funds, bonds and money market funds, tax-exempt, and tax-deferred investments. Life annuities, perpetual annuities, and the mechanics of life insurance. Students may also do calculations and modeling using spreadsheets; instructions on their use will be given as needed. Basic ideas from probability theory will also be introduced as needed. Additional topics may include linear programming, finite differences, and some actuarial mathematics. However, this course does not prepare students for the examinations of the Society of Actuaries.

2608

MATH-299-01

Independent Study

0.50 - 2.00

IND

TBA

TBA

TBA

Y

Enrollment limited to 15

Submission of the special registration form, available in the Registrar’s Office, and the approval of the instructor and chairperson are required for enrollment.

3501

MATH-316-01

Dynamical Systems

1.00

LEC

Skardal, Per Sebastian

MWF: 12:00PM-12:50PM

TBA

Enrollment limited to 19

Prerequisite: A grade of C- or better in MATH 234; or Permission of the Instructor

An introduction to nonlinear dynamics and chaos theory, emphasizing qualitative methods for
both continuous and discrete dynamical systems. Topics will include fixed points and periodic
solutions, linearization and asymptotic behavior, existence and nonexistence theorems for
periodic orbits, and Floquet theory. Special emphasis will be placed on stability and bifurcation
analysis for parameterized families. The final part of the course will serve as an introduction to
chaos theory. Topics will include routes to chaos, strange attractors, self-similarity and fractal
dimensions, Lyapunov exponents, and renormalization. Modeling of real-world systems and
their applications will we stressed throughout the course.

3502

MATH-318-01

Topics in Geometry

1.00

LEC

Sandoval, Mary

MWF: 11:00AM-11:50AM

TBA

Y

NUM

Enrollment limited to 19

Prerequisite: C- or better in Mathematics 228 and 231.

Differential geometry, projective geometry, non-Euclidean geometry, combinatorial topology, or such topics as the department may specify. May be repeated for credit with different topics.

3690

MATH-325-01

Special Topics in Algebra

1.00

LEC

Wang, Stefanie

F: 12:00PM-2:30PM

TBA

Y

Enrollment limited to 18

Prerequisite: C- or better in Mathematics 205, or permission of instructor.

Assuming no prior exposure to abstract algebra, this course provides a non-traditional introduction to general algebra. We cover such topics as monoids, semigroups, quasigroups, introductory universal algebra, and introductory category theory. Students who have already taken an abstract algebra course are welcome as well.

3504

MATH-331-01

Analysis I

1.00

LEC

Russo, Paula

MW: 2:40PM-3:55PM

TBA

WEB

Enrollment limited to 19

Prerequisite: C- or better in Mathematics 228 or permission of instructor.

Properties of the real number system, elementary topology, limits, continuity, uniform convergence, differentiation and integration of real-valued functions, sequences, and series of functions.

3505

MATH-331-02

Analysis I

1.00

LEC

Mauro, David

MWF: 12:00PM-12:50PM

TBA

WEB

Enrollment limited to 19

Prerequisite: C- or better in Mathematics 228 or permission of instructor.

Properties of the real number system, elementary topology, limits, continuity, uniform convergence, differentiation and integration of real-valued functions, sequences, and series of functions.

2132

MATH-399-01

Independent Study

0.50 - 2.00

IND

TBA

TBA

TBA

Y

Enrollment limited to 15

Submission of the special registration form, available in the Registrar’s Office, and the approval of the instructor and chairperson are required for enrollment.

2705

MATH-400-01

Senior Exercise

1.00

LEC

Wyshinski, Nancy

MW: 1:15PM-2:30PM

TBA

NUM

Enrollment limited to 19

A capstone course for senior math majors. Prerequisites: permission of instructor.

2246

MATH-466-01

Teaching Assistant

0.50

IND

TBA

TBA

TBA

Y

Enrollment limited to 15

Submission of the special registration form, available in the Registrar’s Office, and the approval of the instructor and chairperson are required for enrollment.

2133

MATH-497-01

Senior Thesis

1.00

IND

TBA

TBA

TBA

Y

Enrollment limited to 15

Required of, but not limited to, honors candidates.