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Course Criteria
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1.50 Credits
An introduction to the basics of Latin, designed to equip students with a reading knowledge of the language. About two-thirds of the introductory textbook will be covered in the first semester. The remainder of the textbook will be completed in the first half of the second semester, followed by reading of a Latin novel.
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1.00 Credits
An introduction to the reading of classical Latin prose, the course will include a review of Latin grammar and syntax. Students will read selections from the letters of Seneca the Younger and Pliny the Younger. Seneca, a distinguished philosopher and statesman of the Neronian period, uses his experiences in contemporary Rome as texts from which to derive simple philosophical messages. Pliny recounts events from the life of an Italian aristocrat of the first century CE, including an eyewitness account of the eruption of Vesuvius. The course will begin slowly, with the aim of gradually acclimatizing students to the rhythms and stylistic and syntactical patterns of Latin prose. The emphasis will be on understanding and translating the Latin, but we will consider the social and cultural background to the texts we read.
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1.00 Credits
The course provides a brief introduction to late and medieval Latin. We will begin with a series of Christian texts from late antiquity that illustrate some of the changes Latin experienced in that period. In the second section of the course, the focus will be on pastoral and love poetry of the late Roman and medieval periods. For the final section of the course, each student will be asked to choose a text they would like to study and make the subject of their final paper. We will read portions of each text in class.
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1.00 Credits
Designed primarily for students interested in improving their precalculus skills, this course begins with a review of algebra and proceeds to a study of elementary functions (including the trigonometric functions) and techniques of graphing.
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1.00 Credits
This course is designed to provide students with a sampling of mathematical delicacies, interesting and unusual thoughts that have been developed over tens of centuries. We shall follow the work of mathematicians, beginning with the ancient Greeks, who attempted to come to terms with the concept of infinity. We shall address mathematical questions about how large things are, how many, how fast, how often, as well as the amazing discovery that such questions do not always make sense. Paradoxes will be discussed, both in apparent forms and in irrefutable guises. We shall play mathematical games that will require us to learn something of probabilities and that, in turn, will require us to learn when to count and when not to count. We shall also discuss the personalities and motivations of great mathematicians through their biographies and autobiographies. The course aims to sharpen students' intellect by challenging them with problems in which the recognition of ideas is central. Students' imagination will be stimulated, and they will be encouraged to ask questions in areas about which we know little or nothing. Above all, students will marvel at the wonderfully surprising world of mathematical thought.
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1.00 Credits
This course is designed to introduce basic ideas and techniques of differential calculus. Students should enter with sound precalculus skills but with very limited or no prior study of calculus. Topics to be considered include differential calculus of algebraic, exponential, and logarithmic functions. (Integral calculus will be introduced in MATH118.)
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1.00 Credits
MATH121 is designed for students who have completed a high school calculus course and who might pursue study in an area for which calculus is an essential tool but who are not prepared to place out of calculus. This course is a deeper and broader study of calculus than MATH117; theoretical aspects are not the main focus but will not be avoided. The course will, together with MATH122, treat limits, derivatives, and integrals; the calculus of exponential, logarithmic, trigonometric, and inverse trigonometric functions; techniques of integration; plane analytic geometry; various applications of calculus; sequences and series, including power series and intervals of convergence.
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1.00 Credits
The continuation of MATH121. Topics covered include techniques and applications of integration and an introduction to sequences and series.
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1.00 Credits
Topics included in this course are organizing data, central measures, measures of variation, distributions, sampling, estimation, conditional probability (Bayes' theorem), hypothesis testing, simple regression and correlation, and analysis of variation.
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0.25 Credits
This course will explore the problems and problem-solving techniques of the annual William Lowell Putnam mathematical competition. Particular emphasis will be placed on learning to write clear and complete solutions to problems. The competition is open to all undergraduate students.
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