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Literature |
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LIT111 CM - Dante See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT117 CM - Literature of Late Medieval England See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT118 CM - The Romantic Revolution See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT119 CM - 19th Century Russian Novel See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT126 CM - Poetry and Painting See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT130 CM - Introduction to Film See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT131 CM - Film History I (1925-1965) See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT132 CM - Film History II (1965-Present) See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT133 CM - Film and Literature See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT134 CM - Special Studies in Film See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT136 CM - American Film Genres See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT138 CM - Film and Mass Culture See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT139 CM - Film Theory See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT144 HM - Poe Goes South: Short Story See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT145 HM - Third World Women Writers See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT 147 HM - Writers from Africa and the Caribbean See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT 147 HM - Writers from Africa/Caribbean See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT 155 HM - Post Apartheid Narratives See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT 160 AF - African and Caribbean Literature See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT162 AF - African Literature See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT163 AF - North African Literature/Culture in Text, Film, and Music See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT165 AF - Writing Between Borders: Caribbean Writers in the U.S. and Canada See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT165 CM - Nietzsche, Marx and Freud See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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LIT179 HM - Special Topics in Literature See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 1 |
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Mathematics |
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MATH001 PO - Math, Philosophy and the Real WorldWhen Offered: Last offered spring 2020. Instructor(s): G. Karaali Credit: 1
Throughout history, mathematics has changed the way people look at the world. This course will include examples such as: Euclidean geometry (which suggested to philosophers that certainty was achievable by human thought), discussions of the infinite (which confounded the believer and the agnostic alike) and probability and statistics (which gave scientists a way of dealing with events that did not seem to follow any laws but those of chance). Readings and problems will be taken from several types of sources, including historical, mathematical and philosophical texts. Offered jointly by Pitzer and Pomona colleges. Prerequisites: High-school Algebra and Geometry. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH001 PZ - Mathematics, Philosophy and the Real World See the Pitzer College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH007 PZ - Mathematics of Gambling See the Pitzer College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH010B PZ - Cartography See the Pitzer College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH010G PZ - Mathematics in Many Cultures See the Pitzer College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH010Z PZ - History of Algorithms See the Pitzer College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH030 PO - Calculus IWhen Offered: Each semester. Instructor(s): A. Adeniran; A. Chávez; G. Karaali; A. Radunskaya; A. Rumbos; G. Sarkis; B. Shtylla; Staff Credit: 1
MATH 030, 031 and 032 comprise a standard course in the calculus of one and several variables. This course focuses on limits, derivatives, integrals, mean-value theorems and the Fundamental Theorem of Calculus. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH031 PO - Calculus IIWhen Offered: Each semester. Instructor(s): A. Adeniran, A. Chávez, A. Radunskaya; A. Rumbos; G. Sarkis; B. Shtylla; Staff Credit: 1
Transcendental functions, techniques of integration, infinite series and related material. Prerequisite: MATH 030 PO or equivalent. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH031H PO - Honors Topics in Calculus IIWhen Offered: Each fall. Instructor(s): A. Rumbos; G. Sarkis; S. Shahriari Credit: 1
Explores selected topics from Calculus II in greater depth than MATH 031 PO and relates these topics to other areas of mathematics. This course is intended for students who have already seen some of the Calculus II material but are not yet ready for Calculus III or Linear Algebra. Prerequisite: MATH 030 PO or equivalent. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH031S PO - Calculus II with Applications to the SciencesWhen Offered: Each fall. Instructor(s): A. Radunskaya; B. Shtylla; A. Rumbos Credit: 1
The core topics of MATH 031 PO, as well as an introduction to modeling, differential equations and computing, in the context of problems from the sciences. Provides an excellent background for students taking multi-variable calculus (MATH 032 PO or MATH 032S PO) and for students who will use mathematics in other fields. Prerequisites: MATH 030 PO or evidence of having completed an equivalent calculus I course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH032 PO - Calculus IIIWhen Offered: Each semester. Instructor(s): K. Aguilar; M. Hohn Credit: 1
Vectors and vector functions, partial derivatives and differentiability of functions of several variables, multiple integrals. Prerequisite: one of MATH 031 PO , MATH 031H PO , MATH 031S PO (C or better) or equivalent. Students can receive credit for only one of MATH 032 PO, MATH 032H PO or MATH 067 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH032S PO - Calculus III with Applications to the SciencesWhen Offered: Each spring. Instructor(s): A. Radunskaya; B. Shtylla; A. Rumbos Credit: 1
Presents the core topics of Multivariable Calculus (MATH 032 PO) in the context of problems from the sciences. Topics include: vector fields, limits and continuity, differentiability, linearization, linear systems theory, multiple integrals, line integrals and Green’s Theorem. Applications include models of species interaction in ecosystems, the spread of diseases, mutations and chemical networks. Provides an excellent background for students who intend to go on to MATH 102 PO as well as for students taking a mathematical modeling course (e.g. MATH 183 PO) or a course on dynamical systems (e.g. MATH 112 PO). Prerequisites: MATH 031 PO or evidence of having completed an equivalent calculus II course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH055 HM - Discrete Mathematics See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH057 PO - Statistical ThinkingWhen Offered: Each fall. Instructor(s): J. Hardin Credit: 1
The application of statistics to real-world problems goes beyond the application of formulae to a body of
data. Statisticians become involved in research problems at the initial stages of formulating the
hypotheses to be addressed, and continue their involvement through the design and presentation of the
results. This course exposes the student to the complete spectrum of activities in which a statistician is
involved. Many topics from introductory statistics will be covered including conditional probability,
sampling, hypothesis testing, and ethical reporting. Course is equivalent to MATH 058 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH058 PO - Introduction to Statistics with labWhen Offered: Each semester. Instructor(s): G. Chandler; J. Hardin; Staff Credit: 1
An introduction to the methodology and tools vital to the researcher in both the sciences and social sciences. Introduction to probability; binomial, normal, t and Chi-squared distributions; testing hypotheses; confidence intervals; analysis of variance; and regression and correlation analysis. Concepts will be applied to current data using statistical computer software. Prerequisite: MATH 030 PO or MATH 031 PO or MATH 032 PO or MATH 060 PO . Not recommended for students who have taken AP statistics. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH058B PO - Introduction to Biostatistics with labWhen Offered: Each spring. Instructor(s): J. Hardin; Staff Credit: 1
An introduction to the methodology and tools vital to research in the biological and health sciences and medicine. Topics include probability, distributions of random variables, testing hypotheses, confidence intervals, analysis of variance, regression analysis, odds ratios, sensitivity and specificity; and nonparametric methods. Concepts will be applied to current data using statistical computer software. Prerequisite: MATH 030 PO . Not recommended for students who have taken AP statistics. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH060 PO - Linear AlgebraWhen Offered: Each semester. Instructor(s): V. de Silva; S. Garcia; E. Goins; G. Karaali; A. Radunskaya; A. Rumbos; G. Sarkis; S. Shahriari; Staff Credit: 1
Emphasizes vector spaces and linear transformations. Linear independence and bases, null spaces and ranks of linear transformations, the algebra of linear transformations, the representation of linear transformations by matrices. Additional topics may include Gaussian elimination, inner product spaces; determinants, eigenvalues; and applications of linear algebra. Prerequisite: one of MATH 031 PO , MATH 031H PO , MATH 031S PO , MATH 032 PO , MATH 032S PO or equivalent. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH067 PO - Vector CalculusWhen Offered: Each semester. Instructor(s): V. de Silva; A. Rumbos; G. Sarkis; S. Shahriari; Staff Credit: 1
Building on linear algebra and single-variable calculus, gives a streamlined introduction to multivariable (or “vector”) calculus. Topics include different types of integrals (line, double, surface, triple) and derivatives (partial, directional, total); the famous div, grad and curl operators; why the chain rule is easy and fun; the all-time best version of the fundamental theorem of calculus (by Stokes); and an answer to the vexing question: “What is dx?”. Prerequisites: MATH 060 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH091 PO - Undergraduate Math ColloquiumWhen Offered: Each semester. Instructor(s): Staff Credit: 0
Undergraduate Mathematics Colloquium. Mr. Rumbos. Attendance at talks given by senior math majors, the Claremont Colleges Mathematics Colloquium and other suitable talks in Claremont. Offers students the opportunity to sample the wide range of active research areas and current trends in mathematics. Not open to senior math majors. Prerequisite: any math course numbered above 100. Non-credit. Each spring. |
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MATH101 PO - Introduction to AnalysisWhen Offered: Each semester. Instructor(s): V. de Silva; G. Karaali; A. Rumbos; G. Sarkis; B. Shtylla; Staff Credit: 1
A workshop course on how to write proofs in the context of analysis. Focus on the construction and presentation of rigorous proofs. Learn how to use the language of analysis to prove results about sequences, limits and continuity. Students regularly present proofs in both written and oral form. Prerequisite: MATH 060 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5; Speaking Intensive |
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MATH102 PO - Differential Equations and ModelingWhen Offered: Each semester. Instructor(s): E. Goins; A. Radunskaya; A. Rumbos; B. Shtylla Credit: 1
Introduction to the theory of ordinary differential equations, with applications to modeling in the physical, biological and social sciences. Emphasis on the qualitative study of differential equations via analytic methods or numerical techniques using standard mathematical software packages. A good understanding of the theory of vector spaces and linear transformations is assumed. Prerequisites: MATH 032 PO or MATH 067 PO ; and MATH 060 PO or MATH 032S PO and permission of instructor. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH103 PO - Combinatorial MathematicsWhen Offered: Each semester. Instructor(s): V. de Silva; G. Sarkis; S. Shahriari Credit: 1
An introduction to the techniques and ideas of combinatorics including counting methods, generating functions, Ramsey theory, graphs, networks and extremal combinatorics. Offered jointly by Pomona and Scripps colleges. Prerequisites: MATH 060 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH106 HM - Combinatorics See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH108 PZ - History of Mathematics See the Pitzer College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH112 PO - Discrete Dynamical Systems and ChaosWhen Offered: Last offered spring 2020. Instructor(s): A. Radunskaya Credit: 1
The studies of discrete dynamical systems in dimensions one and higher is motivated and presented with examples taken from the recent research literature, including mathematical models of biological processes and neural networks. Among the mathematical topics introduced will be routes to chaos, bifurcation analysis and Sarkovskii’s Theorem. Prerequisites: MATH 032 PO , MATH 032S PO or MATH 067 PO ; and MATH 060 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH113 PO - Number Theory and CryptographyWhen Offered: Offered alternate years; next offered fall 2020. Instructor(s): S. Garcia; G. Sarkis Credit: 1
This course introduces basic elements of the elegant and beautiful theory of numbers, including prime factorization, congruences and modular arithmetic, Fermat’s little theorem, Euler’s phi function and quadratic reciprocity, together with their powerful application to public key cryptosystems like RSA and Diffie-Hellman. Students can receive credit for only one of MATH 113 PO or MATH 175 CM or MATH 175 SC. Prerequisite: MATH 060 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH115 HM - Fourier Series and Boundary Value Problems See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH119 PO - Mathematics Research CircleWhen Offered: Each semester. Instructor(s): J. Hardin; A. Radunskaya; G. Sarkis; S. Shahriari Credit: 0.5
An in-depth study of a topic to be chosen by the faculty Research Circle Facilitator(s), with special attention paid to explicit examples. The course will draw from current journal articles and culminate in research on related conjectures. |
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MATH131 PO - Principles of Real Analysis IWhen Offered: Each fall. Instructor(s): K. Aguilar; S. Garcia Credit: 1
Countable sets, least upper bounds and metric space topology including compactness, completeness, connectivity and uniform convergence. Prerequisites: MATH 032 PO , MATH 032S PO or MATH 067 PO ; and MATH 060 PO ; a proof-based course above 100 is strongly recommended. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH132 PO - Principles of Real Analysis IIWhen Offered: Each spring by a rotating Claremont Colleges Math Department. Instructor(s): K. Aguilar; S. Garcia Credit: 1
Topics may include: Baire category theorem, Weierstrass approximation theorem, Stone-Weierstrass theorem, equicontinuity, Arzela-Ascoli theorem, Riemann integration, Frechet derivatives, inverse and implicit function theorems, Euler-Lagrange optimization and Fourier series. Prerequisite: MATH 131 PO or equivalent. Offered jointly by Claremont McKenna, Harvey Mudd and Pomona colleges. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH135 PO - Functions of a Complex VariableWhen Offered: Each spring by a rotating Claremont Colleges Math Department. Instructor(s): K. Aguilar; S. Garcia; A. Rumbos Credit: 1
Topics may include: Cauchy Riemann equations, harmonic functions, Cauchy’s theorem, Liouville’s theorem, Cauchy’s Integral formula, maximum modulus principle, argument principle, Rouche’s theorem, series expansions, isolated singularities, calculus of residues and conformal mapping. Students can receive credit for only one of MATH 135 PO or MATH 136 HM . Prerequisites: MATH 101 PO or MATH 131 PO or consent of instructor. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH136 HM - Complex Variables and Integral Transforms See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH137 CM - Real Analysis I See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH137 HM - Graduate Analysis I See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH137 PO - Real and Functional Analysis IWhen Offered: Offered by a Claremont Colleges Math Deparment on a rotating basis. Instructor(s): K. Aguilar; S. Garcia Credit: 1
Abstract measures, Lebesgue measure, on Rn and Lebesgue-Stieljes measure on R. The Lebesgue integral and limit theorems. Product measures and the Fubini Theorem. Additional related topics as time permits. Prerequisites: MATH 132 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH138 PO - Real and Functional Analysis IIWhen Offered: Offered by a Claremont Colleges Math Department on a rotating basis. Instructor(s): K. Aguilar; S. Garcia Credit: 1
Continuation of MATH 137 PO . Some of the topics covered will be Banach and Hilbert spaces, Lp spaces, complex measures and Radon-Nikodym theorem. Prerequisite: MATH 137 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH142 HM - Differential Geometry See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH145 PO - Topics in Geometry and TopologyWhen Offered: Offered alternate years; next offered spring 2021. Instructor(s): V. de Silva Credit: 1
Topic varies from year to year and will be chosen from differential topology, Euclidean and non-Euclidean geometries, knot theory, algebraic topology and projective geometry. Prerequisites: MATH 131 PO or MATH 171 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH147 PO - TopologyWhen Offered: Last offered spring 2020. Instructor(s): V. de Silva Credit: 1
Topological spaces, product spaces, quotient spaces, Hausdorff spaces, compactness, connectedness, path connectedness, fundamental groups, homotopy of maps and covering spaces. Prerequisite: MATH 131 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH150 PO - Methods in BiostatisticsWhen Offered: Offered alternate years; next offered spring 2021. Instructor(s): G. Chandler; J. Hardin Credit: 1
A methods course in biostatistics. Emphasis on the most commonly used statistical methods in medical and other biological research. Topics such as experimental design, power and sample size determination, odds ratio and relative risk, logistic regression, survival analysis, and adjustments for multiple comparisons. Prerequisites: MATH 030 PO and one of the following MATH 058 PO , MATH 152 PO , ECON 057 PO , PSYC 158 PO or AP Statistics. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH151 PO - ProbabilityWhen Offered: Each semester. Instructor(s): G. Chandler; J. Hardin; A. Radunskaya; A. Rumbos. Credit: 1
Probability spaces, discrete and continuous random variables, conditional and marginal distributions, independence, expectation, generating functions, transformations, central limit theorem. Prerequisites: MATH 032 PO or MATH 067 PO ; and MATH 060 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH152 PO - Statistical TheoryWhen Offered: Each fall. Instructor(s): G. Chandler; J. Hardin Credit: 1
Introduction to statistical inference, estimation of parameters, confidence intervals, Bayesian analysis and tests of hypotheses. Prerequisite: MATH 151 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH153 PO - Bayesian StatisticsWhen Offered: Last offered spring 2020. Instructor(s): G. Chandler; J. Hardin Credit: 1
An introduction to principles of data analysis and advanced statistical modeling using Bayesian inference. Topics include a combination of Bayesian principles and advanced methods; general, conjugate and noninformative priors, posteriors, credible intervals, Markov Chain Monte Carlo methods, and hierarchical models. The emphasis throughout is on the application of Bayesian thinking to problems in data analysis. Statistical software will be used as a tool to implement many of the techniques. Prerequisites: MATH 151 PO or by permission of the instructor. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH154 PO - Computational StatisticsWhen Offered: Each fall. Instructor(s): G. Chandler; J. Hardin Credit: 1
An introduction to computationally intensive statistical techniques. Topics may include: random variable generation, Markov Chain Monte Carlo, tree based methods (CART, random forests), kernel based techniques (support vector machines), optimization, other classification, clustering & network analysis, the bootstrap, dimension reduction techniques, LASSO and the analysis of large data sets. Theory and applications are both highlighted. Algorithms will be implemented using statistical software. Prerequisites: MATH 031 PO or MATH 032 PO ; and MATH 058 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH155 PO - Time SeriesWhen Offered: Offered by a Claremont Colleges Math Deparment on a rotating basis. Instructor(s): G. Chandler; J. Hardin Credit: 1
An introduction to the analysis of time series data. Topics include both the time and frequency/spectral domain. Stationary models (ARMA) as well as popular non-stationary models such as ARCH and GARCH are studied. Emphasis on both theory and applications. Statistical software will be utilized. Prerequisites: MATH 031 PO or MATH 032 PO ; and MATH 058 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH156 HM - Stochastic Processes See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH158 PO - Statistical Linear ModelsWhen Offered: Each spring. Instructor(s): G. Chandler; J. Hardin Credit: 1
An introduction to linear regression (including simple linear regression, multiple regression, variable selection, stepwise regression and analysis of residual plots, shrinkage methods, and splines) and analysis of variance (including one-way and two-way fixed effects ANOVA). Emphasis will be on both methods and applications to data. Statistical software will be used to analyze data. Prerequisites: MATH 030 PO , MATH 031 PO or MATH 032 PO and one of: MATH 058 PO , MATH 152 PO , ECON 057 PO , PSYC 158 PO or AP Statistics. Recommended: MATH 060 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH160 CM - Monte Carlo Methods See the Claremont McKenna College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH164 HM - Scientific Computing See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH165 HM - Numerical Analysis See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH171 PO - Abstract Algebra I: Groups and RingsWhen Offered: Each spring. Instructor(s): E. Goins; G. Karaali; G. Sarkis; S. Shahriari Credit: 1
Covers basic structures which appear throughout mathematics including groups and rings. Topics in group theory will include isomorphism theorems, orbits and stabilizers and coset partitions. Topics in ring theory will include ideals, quotient rings and prime and maximal ideals. Ring and field extensions may also be introduced. Prerequisite: MATH 060 PO ; a proof-based course above 100 is strongly recommended. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH172 PO - Abstract Algebra II: Galois TheoryWhen Offered: Offered by a Claremont Colleges Math Department on a rotating basis. Instructor(s): E. Goins; G. Karaali; G. Sarkis, S. Shahriari. Credit: 1
The topics covered will include polynomial rings, field extensions, classical constructions, splitting fields, algebraic closure, separability, Fundamental Theorem of Galois Theory, Galois groups of polynomials and solvability. This course is independent from MATH 174 PO and may be taken by students who have taken MATH 174 PO . Prerequisite: MATH 171 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH173 PO - Advanced Linear AlgebraWhen Offered: Offered alternate years; next offered spring 2021. Instructor(s): K. Aguilar; S. Garcia Credit: 1
Topics may include approximation in inner product spaces, similarity, the spectral theorem, Jordan canonical form, the Cayley Hamilton theorem, polar and singular value decomposition, Markov processes, behavior of systems of equations. Prerequisite: MATH 060 PO and a course above 100 or consent of the instructor. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH174 PO - Abstract Algebra II: Representation TheoryWhen Offered: Each year by a rotating Claremont Colleges Math Department. Instructor(s): E. Goins; G. Karaali; G. Sarkis; S. Shahriari. Credit: 1
The topics covered will include group rings, characters, orthogonality relations, induced representations, application of representation theory and other select topics from module theory. Prerequisite: MATH 171 PO . This course is independent from MATH 172 PO and may be taken by students who have taken MATH 172 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH176 HM - Algebraic Geometry See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH176 PO - Algebraic GeometryWhen Offered: Last offered spring 2020. Instructor(s): E. Goins Credit: 1
Topics include affine and projective varieties, the Nullstellensatz, rational maps and morphisms, birational geometry, tangent spaces, and non-singularity and intersection theory. Additional topics may be included depending on the interest and pace of the class. Prerequisites: MATH 171 PO . Recommended previous courses in Analysis, Galois Theory, Differential Geometry, and Topology are helpful, but not required. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH180 HM - Applied Analysis See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH180 PO - Introduction to Partial Differential EquationsWhen Offered: Last offered spring 2020. Instructor(s): A. Rumbos; B. Shtylla Credit: 1
Partial Differential Equations (PDEs) including the heat equation, wave equation, and Laplace’s equation; existence and uniqueness of solutions to PDEs via the maximum principle and energy methods; method of characteristics; Fourier series; Fourier transforms and Green’s functions; Separation of variables; Sturm-Liouville theory and orthogonal expansions; Bessel functions. Prerequisites: MATH 102 PO and either MATH 101 PO or MATH 131 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH181 PO - Dynamical SystemsWhen Offered: Offered alternate years; next offered spring 2021. Instructor(s): A. Radunskaya; A. Rumbos Credit: 1
Continuous dynamics and most of the following topics: linear and nonlinear systems; bifurcation theory and chaos; existence and uniqueness theory and dependence on data; Hartman-Grobman and Poincaré-Bendixson theorems; Lyapunov stability theory; and stable manifold theory. Prerequisites: MATH 102 PO and either MATH 101 PO or MATH 131 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH183 PO - Mathematical Modeling (CP)When Offered: Each spring. Instructor(s): A. Radunskaya; A. Rumbos; B. Shtylla Credit: 1
Introduction to the construction and interpretation of deterministic and stochastic models in the biological, social and physical sciences, including simulation studies. Students are required to develop a model in an area of their interest. Offered with an optional Community Partnership activity. Prerequisite: MATH 102 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH187 PO - Deterministic Operations ResearchWhen Offered: Last offered spring 2020. Instructor(s): V. de Silva; S. Shahriari Credit: 1
Linear, integer, nonlinear and dynamic programming, classical optimization problems, applications to Markov chains, networks; and game theory. Prerequisites: MATH 032 PO or MATH 067 PO ; and MATH 060 PO . Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH188 HM - Social Change and Decision Making See the Harvey Mudd College Catalog for a description of this course. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH189B PO - Topics in Applied MathematicsWhen Offered: Last offered fall 2019. Instructor(s): A. Radunskaya; B. Shtylla; A. Rumbos Credit: 1
Cutting edge topics in Applied Mathematics that will be of interest to students in a broad range of disciplines. Specific topics might include: Optimization, variational methods, discrete models, stochastic differential equations, delay differential equations, control theory & perturbation methods. Prerequisites: MATH 102 PO and either MATH 101 PO or MATH 131 PO . May be repeated once for credit. Previously offered as MATH188 PO. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Area 5 |
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MATH190 PO - Seminar in Mathematical ExpositionWhen Offered: Each fall. Instructor(s): V. de Silva; S. Shahriari; G. Sarkis Credit: 0.5
Directed study for majors. Seminar will discuss how to do a literature search in mathematics, how to read research papers in mathematics, how to write a mathematics paper and how to present a mathematics talk. Students will give oral presentations on the background material and major questions in the area of their senior research. Attendance is required. Required for senior majors. Half-course. Letter grade only. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Speaking Intensive |
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MATH191 PO - Senior Thesis in MathematicsWhen Offered: Each spring. Instructor(s): V. de Silva Credit: 0.5
Preparation and presentation of senior thesis for completion of the major. Required for senior majors; attendance is required. Half-course. Letter grade only. Satisfies the following General Education Requirement(s), subject to conditions explained in the Degree Requirements section of this Catalog: Speaking Intensive |
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MATH197 HM - Selected Topics in MathematicsWhen Offered: Each semester. Instructor(s): Staff See the Harvey Mudd College Catalog for a description of this course. |
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MATH199DRPO - Mathematics: Directed ReadingsWhen Offered: Each semester. Instructor(s): Staff Credit: 0.5-1
Syllabus reflects workload of a standard course in the department or program. Examinations or papers equivalent to a standard course. Regular interaction with the faculty supervisor. Weekly meetings are the norm. Available for full- or half-course credit. |
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MATH199IRPO - Mathematics: Independent ResearchWhen Offered: Each semester. Instructor(s): Staff Credit: 0.5-1
Independent Research or Creative Project. A substantial and significant piece of original research or creative product produced. Prerequisite course work required. Available for full- or half-course credit. |
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MATH199RAPO - Mathematics: Independent Research AssistantshipWhen Offered: Each semester. Instructor(s): Staff Credit: 0.5
Research Assistantship. Lab notebook, research summary or other product appropriate to the discipline is required. |
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