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MATH E-3 Quantitative Reasoning: Practical Math
4 units. Undergraduate credit $555. Prerequisite(s): students must take the placement test.
Fall term (10427) : Graeme D. Bird, PhD, Teaching Assistant in the Classics, Harvard University. Tuesday and Thursday, 5:30-7:30 pm. Harvard Hall 102.
Spring term (20389) : Charlotte Bonner, EdM. Tuesday and Thursday, 5:30-7:30 pm. Sever Hall 213.
Review of basic arithmetical procedures. An introduction to the interpretation of numerical data and to the use of the Macintosh personal computer. Graph reading and some statistical ideas, including sampling, testing a hypothesis, and constructing a confidence interval; correlation and regression. The course introduces students to the use of software packages, including a spreadsheet, but does not involve programming. New material will be presented during Tuesday classes; Thursdays will be reserved for review, individual help, and hands-on experience with the computer. All exams are given on Thursdays.
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MATH E-5 Mathematics in Everyday Life
4 units. Undergraduate credit $555. Prerequisite(s): a satisfactory placement test score.
Fall term (10428) : Peter J. Martin, MS, Instructor, Newton North High School. Tuesday, 7:35-9:35 pm. Sever Hall 110. Sections Tuesday, 6:30-7:30 pm.
Covers the same material as MATH E-3, but in greater depth and without the arithmetic review. This course is intended for students with no previous experience with computers or statistics, but with a solid command of arithmetic. However, algebra is not a prerequisite.
Back to top of page. Spring term (21511) : Tamara Lefcourt, PhD, Preceptor in Mathematics, Harvard University. Monday, 7:35-9:35 pm. Sever Hall 206. Sections Monday, 6:30-7:30 pm.
In this course we will explore topics ranging from mathematics and money ("How should I finance my new car?") to mathematics and politics ("What's the best way to choose among three candidates?") to mathematics in music ("What's the best way to tune a piano?"). We will see that there are many answers to these and other questions, and the math skills involved in determining the best answer are very attainable. Students will need to use a scientific calculator in the course; unfamiliar calculator functions will be reviewed during the first few weeks.
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MATH E-6 Mathematics and the Greeks (21341)
Graeme D. Bird, PhD, Teaching Assistant in the Classics, Harvard University.
4 units. Undergraduate credit $480. Tuesday, 7:35-9:35 pm. Sever Hall 208. Sections Tuesday, 6:30-7:30 pm. Prerequisite(s): a good knowledge of algebra, which can be demonstrated either by a grade of A- or better in MATH E-8b or MATH E-8, or by a satisfactory placement test score. Spring term.
The legacy of the Greek mathematicians has been described as "one of the most stupendous achievements in the history of human thought." The Pythagorean theorem, Euclidean geometry, and Archimedes' spiral are but three examples of this legacy. In this course we will read brief extracts (in translation) from original mathematical works, and then work through a selection of problems. Weekly assignments will include some reading, but the emphasis will be on problem solving, both constructing geometrical figures and writing proofs of arguments. Needless to say, calculators will not be used, but rather the basic ancient Greek instruments: pencil, compass, and straightedge.
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QRR E-Exam Quantitative Reasoning Examination
Noncredit $60.
Fall term (10413) : Graeme D. Bird, PhD, Teaching Assistant in the Classics, Harvard University. Registration and withdrawal deadline: September 9 (fall term), January 20 (spring term). This course meets Thursday, Sept. 9, Tuesday, Sept. 14, and Thursday, Sept. 16.
Spring term (20368) : Graeme D. Bird, PhD, Teaching Assistant in the Classics, Harvard University. Registration and withdrawal deadline: September 9 (fall term), January 20 (spring term). This course meets Thursday, Jan. 20, Tuesday, Jan. 25, and Thursday, Jan. 27.
Designed for ALB candidates who want to fulfill the data component of the quantitative reasoning requirement and for ALM candidates in biology and psychology who want to fulfill the statistics requirement by taking the exam, administered at the third class meeting. All the topics in MATH E-3 and E-5 are reviewed, but in a very accelerated format. Participants are assumed already to be familiar with the material by having worked through the QRR data book. The course should only be taken by students with strong math backgrounds and willingness to do some independent study. The course does not include the computer topics necessary to pass the computer component of the quantitative reasoning requirement (basic familiarity with word processing, spreadsheets, and graphics). The computer test will be administered separately. For more information, students should call Graeme Bird at 496-5143.
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MATH E-8a College Algebra I (10429)
David Abbruzzese, Jr., BS, Teaching Assistant in Physics, Harvard University.
2 units. Undergraduate credit $360. Wednesday, 7:35-9:05 pm. Sever Hall 109. Sections Wednesday, 6:30-7:30 pm. Prerequisite(s): students must take the placement test. Fall term.
Review of arithmetic. Algebraic expressions and equations, and their manipulation and use in problem solving.
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MATH E-8b College Algebra II (20392)
David Abbruzzese, Jr., BS, Teaching Assistant in Physics, Harvard University.
2 units. Undergraduate credit $360. Tuesday, 7:35-9:05 pm. Sever Hall 209. Sections Tuesday, 6:30-7:30 pm. Prerequisite(s): MATH E-8a or a satisfactory placement test score. Spring term.
Further work with algebraic expressions and equations covered in MATH E-8a; word problems; introduction to inequalities, absolute values, and graphing.
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MATH E-8 College Algebra
4 units. Undergraduate credit $480. Prerequisite(s): students must take the placement test.
Fall term (10431) : Andy Engelward, PhD, Preceptor in Mathematics, Harvard University. Tuesday and Thursday, 7:35-9:05 pm. Sever Hall 103. Sections Thursday, 6:30-7:30 pm.
Spring term (20393) : David Arias, MS, Instructor, Andover High School. Monday and Thursday, 7:35-9:05 pm. Sever Hall 214. Sections Thursday, 6:30-7:30 pm.
This course covers the material in MATH E-8a and E-8b. It is intended for students who place into E-8a but who want to take E-10 the following term.
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MATH E-10 Precalculus
4 units. Undergraduate credit $480. Prerequisite(s): an A- grade in MATH E-8b or E-8, or a satisfactory placement test score.
Fall term (10434) : Robin Gottlieb, MSc, Senior Preceptor in Mathematics, Harvard University. Wednesday, 5:30-8:30 pm. Sever Hall 110. Sections Monday 7:35-8:35 pm.
Spring term (20398) : Robin Gottlieb, MSc, Senior Preceptor in Mathematics, Harvard University. Wednesday, 5:30-8:30 pm. Science Center 309. Sections Monday 7:35-8:35 pm.
An intensive course for students with superior algebra skills who want to enroll in MATH E-15 the following term. Requires the use of a graphing calculator.
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MATH E-15 Introduction to the Calculus A
4 units. Undergraduate credit $480. Prerequisite(s): MATH E-10 or satisfactory placement test score.
Fall term (10436) : Eric Towne, AB. Wednesday, 5:30-8:30 pm. Harvard Hall 201. Sections Monday, 7:35-8:35 pm.
Spring term (20399) : Eric Towne, AB. Wednesday, 5:30-8:30 pm. Science Center 102B. Sections Monday, 7:35-8:35 pm.
We will answer the question of how to compute the rate of change of a nonlinear quantity. Topics include differentiation and its uses in curve sketching, optimization, and other applications, followed by an introduction to integrations. Graphing calculator optional. Entering students need a strong knowledge of the exponential, logarithmic, and trigonometric functions.
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MATH E-16 Introduction to the Calculus B and Differential Equations
4 units. Undergraduate credit $480. Prerequisite(s): MATH E-15 or equivalent--in other words, an excellent working knowledge of first-semester calculus, including the trigonometric and logarithmic functions--or satisfactory placement test score.
Fall term (10437) : Srdjan Divac, MA. Wednesday, 5:30-7:30 pm. Sever Hall 308. Sections Monday, 7:35-8:35 pm.
Spring term (20395) : Srdjan Divac, MA. Wednesday, 5:30-7:30 pm. Sever Hall 106. Sections Monday, 7:35-8:35 pm.
Integration and differential equations, with applications. Covers most of the topics in a second-semester calculus course, but with an emphasis on graphical and numerical work. Requires the use of a graphing calculator with the capability of computing (approximating) definite integrals.
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MATH E-21a Multivariable Calculus (11648)
Ted Pyne, PhD, Teaching Assistant in Physics, Harvard University.
4 units. Undergraduate credit $480. Wednesday, 5:30-7:30 pm. Sever Hall 306. Sections Monday, 7:35-8:35 pm. Prerequisite(s): MATH E-16 or equivalent. Fall term.
Vectors and matrices; vector-valued functions of many variables; partial derivatives; Taylor's theorem; optimization of functions of more than one variable; constrained extrema and Lagrange multipliers; multiple integration; line and surface integrals and Stokes's theorem.
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MATH E-21b Linear Algebra (21474)
Ted Pyne, PhD, Teaching Assistant in Physics, Harvard University.
4 units. Undergraduate credit $480. Wednesday, 5:30-7:30 pm. Emerson Hall 305. Sections Monday, 7:35-8:35 pm. Prerequisite(s): MATH E-16 or equivalent. Spring term.
This course is designed for students who wish to pursue a career in various fields where applications of mathematical concepts are required or desirable. We will start with the solution of systems of linear equations as the basic concept of linear algebra. Subsequent topics will include the properties of vectors and matrices, linear transformations, images and kernels, determinants, eigenvalues, and eigenvectors. There will be an emphasis on applications, including linear programming, game theory, dynamical systems, possibly incidence matrices, and least-squares approximation.
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MATH E-104 Discrete Mathematics with Computer Science Applications (11478)
Thomas Koshy, PhD, Professor of Mathematics, Framingham State College.
4 units. Graduate credit $1,250. Thursday, 5:30-7:30 pm. Science Center B-09. Sections to be arranged. Prerequisite(s): a good working knowledge of C++ or other structured language and of precalculus mathematics as evidenced by an appropriate score on the placement test; additional background in computing or in college-level mathematics is desirable, but not essential. Fall term.
An introduction to topics in discrete mathematics that are useful in computer science: mathematical logic, set theory, induction, recursion, combinatorics, relations and functions, and graphs. Includes an introduction to algorithm analysis and techniques for proving correctness of programs. Practical programming examples, as well as proofs of relevant theorems, will be discussed. The course is intended both for beginning students of computer science and for computer professionals.
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