For first-year students

 

Math Placements for the Calculus Sequence at Bard, based on last math course taken

Last Course Taken:  Never took Precalculus, or grade of C or below in Precalculus
Placement: Precalculus.  You can also take the diagnostic test at http://math.bard.edu/bloch/calc_diagnostic.pdf to see if you already know this material.

Last Course Taken:  Precalculus with a grade of B or better
Placement: Calculus I

Last Course Taken:  Calculus without an AP exam
Placement: Calculus I, II or III, depending on how well you did and what the course covered.  Take the diagnostic test to see which course you are ready for:  http://math.bard.edu/bloch/calc_diagnostic.pdf

Last Course Taken:  Calculus with the AB exam
Placement: 

Last Course Taken:  Calculus with the BC exam
Placement: 


Please direct any questions to math program faculty members:
Lauren Rose, rose@bard.edu
Sam Hsiao, hsiao@bard.edu

 

 

Math Courses

 

Course

MATH 102   Mathematics of Chance

Professor

James Helmreich

CRN

97488

 

Schedule

Mon Fri   1:30 – 2:50 pm  OLINLC 115

Distribution

Mathematics & Computing

Students and the instructor choose serious applications of probability and statistics as the focus of the course. Concepts in probability and statistics are developed to the extent necessary to understand the applications. Most topics are introduced in a case-study fashion, usually by reading an article in a current periodical such as the New York Times. Other examples are drawn from journals such as Chance, Nature, Science, and Scientific American. Primary reading is supplemented by readings on basic probability and statistics. The goal is to enable the student to make critical judgments and come to informed conclusions about current issues involving chance. Prerequisite: successful completion of Q exam.

 

Course

MATH 110   Precalculus Mathematics

Professor

Jan Rizzuti

CRN

97222

 

Schedule

Tu Th          2:30 -3:50 pm      RKC 103

Distribution

Mathematics & Computing

A course for students who intend to take calculus and need to acquire the necessary skills in algebra and trigonometry. The concept of function is stressed, with particular attention given to linear, quadratic, general polynomial, trigonometric, exponential, and logarithmic functions. Graphing in the Cartesian plane and developing the trigonometric functions as circular functions are included.  Prerequisites: successful completion of Q exam. 

 

Course

MATH 141 A  Calculus I

Professor

Jules Albertini

CRN

97223

 

Schedule

Mon Fri      1:30 - 2:50 pm      HEG 102

Distribution

Mathematics & Computing

An introduction to the basic ideas of differentiation and integration in one variable. Topics include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications.  Prerequisite: Precalculus or the equivalent.

 

Course

MATH 141 B  Calculus I

Professor

John Cullinan

CRN

97224

 

Schedule

Tu Th          9:00 - 10:20 am   RKC 101

Distribution

Mathematics & Computing

An introduction to the basic ideas of differentiation and integration in one variable. Topics include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications.  Prerequisite: Precalculus or the equivalent.

 

Course

MATH 141 C  Calculus I

Professor

Lauren Rose

CRN

97225

 

Schedule

Mon Wed   1:30 -2:50 pm   HEG 106 / Albee 100

Distribution

Mathematics & Computing

An introduction to the basic ideas of differentiation and integration in one variable. Topics include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications.  Prerequisite: Precalculus or the equivalent.

 

Course

MATH 141 D  Calculus I

Professor

Jules Albertini

CRN

97883

 

Schedule

Mon   6:30 – 7:50 pm              HEG 102

Wed  4:30 – 5:50 pm              HEG 102

Distribution

Mathematics & Computing

An introduction to the basic ideas of differentiation and integration in one variable. Topics include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications.  Prerequisite: Precalculus or the equivalent.

 

Course

MATH 142 A  Calculus II

Professor

Samuel Hsiao

CRN

97226

 

Schedule

Tu Th          9:00 - 10:20 am   RKC 102

Distribution

Mathematics & Computing

This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral.  Topics covered include L'Hopital's rule, integration techniques, improper integrals, volumes, arc length, sequences and series, power  series, continuous random variables, and separable differential equations.  Prerequisites:  Mathematics 141 or the equivalent.

 

Course

MATH 142 B  Calculus II

Professor

Samuel Hsiao

CRN

97227

 

Schedule

Wed Fri               10:30 – 11:50 am  RKC 102

Distribution

Mathematics & Computing

This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral.  Topics covered include L'Hopital's rule, integration techniques, improper integrals, volumes, arc length, sequences and series, power  series, continuous random variables, and separable differential equations.  Prerequisites:  Mathematics 141 or the equivalent.

 

Course

MATH 211   Introduction to Differential Equations

Professor

John Cullinan

CRN

97228

 

Schedule

Mon Wed   1:30 -2:50 pm      RKC 102

Distribution

Mathematics & Computing

Cross-listed: Cognitive Science

This course is an introduction to ordinary differential equations. The course is organized around methods for solving ordinary differential equations, and incorporates many ideas from Calculus. Topics include the classification of differential equations, determining existence and uniqueness of ordinary differential equations, and solving first and second order differential equations using a variety of mathematical

tools such as integrating factors, Laplace transforms and power series. Prerequisite: Mathematics 141 and 142, or the equivalent. 

 

Course

MATH 212 A   Calculus III

Professor

Mary Krembs

CRN

97229

 

Schedule

Mon Wed Fri   9:00 - 10:20 am  RKC 101

Distribution

Mathematics & Computing

This course investigates differentiation and integration of multivariable functions. Topics covered include vectors, coordinate systems, vector valued functions, partial derivatives, gradients, Lagrange multipliers, multiple integrals, change of variables, line integrals, Green’s theorem, and Stoke’s theorem.

Prerequisite: Mathematics 141 and 142 or the equivalent.

Note:  This class will end in late November.

 

Course

MATH 212 B   Calculus III

Professor

Mary Krembs

CRN

97884

 

Schedule

Mon Wed Fri   10:30 – 11:50 am  RKC 101

Distribution

Mathematics & Computing

This course investigates differentiation and integration of multivariable functions. Topics covered include vectors, coordinate systems, vector valued functions, partial derivatives, gradients, Lagrange multipliers, multiple integrals, change of variables, line integrals, Green’s theorem, and Stoke’s theorem.

Prerequisite: Mathematics 141 and 142 or the equivalent.

Note:  This class will end in late November.

 

Course

MATH 242   Linear Algebra with Applications

Professor

Greg Landweber

CRN

97230

 

Schedule

Mon Wed   3:00 -4:20 pm      ALBEE 106 / ALBEE 100

Distribution

Mathematics & Computing

Cross-listed: Cognitive Science

This course will cover the basics of linear algebra in n-dimensional Euclidean space, including vectors, matrices, systems of linear equations, determinants, eigenvalues and eigenvectors, as well as applications of these concepts to the natural, physical and social sciences.  Equal time will be given to computational, applied, and theoretical aspects of the course material.  Prerequisite: Math 141-142 or permission of the instructor. 

 

Course

MATH 261   Proofs and Fundamentals

Professor

Lauren Rose

CRN

97145

 

Schedule

Tu Th   10:30 – 11:50 am  ALBEE 106

Distribution

Mathematics & Computing

This course introduces students to the methodology of mathematical proof. The logic of compound and quantified statements, mathematical induction, and basic set theory including functions and cardinality are covered. Topics from foundational mathematics are developed to provide students with an opportunity to apply proof techniques.

Prerequisite: Mathematics 141 and 142, or permission of instructor.   

 

Course

MATH 299   Problem Solving Seminar

Professor

Greg Landweber

CRN

97369

 

Schedule

Mon            6:00 -8:00 pm      RKC 101

Distribution

Mathematics & Computing

2 credits  This course introduces problem solving techniques used throughout the mathematics curriculum. The course focuses on solving difficult problems stated in terms of elementary combinatorics, geometry, algebra, and calculus. Each class combines a lecture describing the common tricks and techniques used in a particular field, together with a problem session where the students work together using those techniques to tackle some particularly challenging problems. Students may find this class helpful in preparing for the Putnam Exam, a national college mathematics competition given in early December.  Prerequisites:  Any 200-level mathematics course or permission of the instructor. 

 

Course

MATH 316   Topics in Combinatorics

Professor

Samuel Hsiao

CRN

97517

 

Schedule

Tu Th          1:00 – 2:20  pm   ALBEE 106

Distribution

Mathematics & Computing

Combinatorial mathematics is the study of how to combine objects into finite arrangements. Topics covered in this course are chosen from enumeration and generating functions, graph theory, matching and optimization theory, combinatorial designs, ordered sets, and coding theory. Prerequisites: Math 261 or permission of instructor.

 

Course

MATH 352   Differential Geometry

Professor

Greg Landweber

CRN

97368

 

Schedule

Tu Th          10:30 - 11:50 am  RKC 101

Distribution

Mathematics & Computing

This course explores the mathematics of curved spaces, particularly curved surfaces embedded in three-dimensional Euclidean space. Originally developed to study the surface of the earth, differential geometry is an active area of research, and it is fundamental to physics, particularly general relativity. The basic issue is to determine whether a given space is indeed curved, and if so, to quantitatively measure its curvature using multivariable calculus. This course also introduces geodesics, curves of minimal length. The course culminates with the Gauss-Bonnet theorem, giving a link between the geometry and topology of surfaces.  Prerequisites: Math 212 and Math 261, or permission of instructor.

 

Course

MATH 361   Real Analysis

Professor

Mark Halsey

CRN

97146

 

Schedule

Mon Wed   1:30 -2:50 pm      RKC 101

Distribution

Mathematics & Computing

The fundamental ideas of analysis in one-dimensional Euclidean space are studied. Topics covered include the completeness of the real numbers, sequences, Cauchy sequences, continuity, uniform continuity, the derivative, and the Riemann integral. As time permits other topics may be considered, such as infinite series of functions or metric spaces.  Prerequisite: Mathematics 261 or permission of the instructor.