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2009 Summer Session Course Listings
Note: Northwestern day school students need permission from the dean of their school to enroll in School of Continuing Studies courses. SCS courses are indicated by a -CN after the course number (example: ACCOUNT 204-CN Sec. 28). The majority of Summer Session courses do not need dean approval.
Mathematics
Weinberg College of Arts and Sciences
MATH 220-0 Sec. 24
Differential Calculus of One-Variable Functions
CAESAR Class Number: 40140
4 weeks,
EVAN,
6/22 - 7/16
MTuWTh 1 - 4pm
Kalman Nanes
This course will be held in Parkes Hall room 213.
Elements of differential and integral calculus. Definition of a function; trigonometric, exponential, logarithmic, and inverse functions; graphs, limits, continuity, derivative of a function, product, quotient and chain rule, implicit differentiation, linear approximation and differentials, related rates, mean value theorems, curve plotting, optimization problems, Newton's method, and antiderivatives. Taken consecutively, 220 and 224 are equivalent to two-thirds of a year in calculus. Prerequisite: three years of high school mathematics, including trigonometry. This course counts toward the Weinberg College formal studies distribution requirement, Area II.
MATH 224-0 Sec. 24
Integral Calculus of One-Variable Functions
CAESAR Class Number: 40142
4 weeks,
EVAN,
7/20 - 8/13
MTuWTh 1 - 4pm
Semail Ulgen-Yildirim
This course will be held in Parkes Hall room 213.
Elements of differential and integral calculus. Integral calculus in one variable. Definite integrals and the fundamental theorems of calculus. Techniques of integration, including integration by parts, trigonometric integrals, trigonometric substitutions, partial fractions, numerical integration, and improper integrals. Applications of integration; computation of volumes, arc length, average value of functions. The mean value theorem for integration, work, and probability. Sequences and series; the integral and comparison tests, power series, ratio test, introduction to Taylor's formula, Taylor series, and using the series to solve differential equations. Taken consecutively, MATH 220 and 224 are equivalent to two-thirds of an academic year in calculus. Prerequisite: MATH 220 or equivalent. This course counts toward the Weinberg College formal studies distribution requirement, Area II.
MATH 230-0 Sec. 28 
Differential Calculus of Multivariable Functions
CAESAR Class Number: 40310
8 weeks,
EVAN,
6/22 - 8/12
MW 6:30 - 9pm
Angela Barnhill
This course will be held in Parkes Hall room 213.
Vectors, dot and cross products, equations of lines and planes; polar, cylindrical, and spherical coordinates; differentiation of vector functions; velocity and acceleration, arc length, parametric surfaces, functions of several variables, partial derivatives, tangent plane and linear approximations, chain rule for partial derivatives, directional derivative and gradient, max-min problems for functions of several variables, Lagrange multipliers. Prerequisite: MATH 224-0 or equivalent.
MATH 234-0 Sec. 28
Multiple Integration and Vector Calculus
CAESAR Class Number: 42751
8 weeks,
EVAN,
6/23 - 8/13
TuTh 6:30 - 9pm
William Clark
This course will be held in Parkes Hall room 214.
Multiple Integration and Vector Calculus Cylindrical and spherical coordinates, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and curl. Theorems of Green, Gauss, and Stokes. Prerequisite: 230. Students may not receive credit for both 234 and 281-1, 285-3, 290-3, or 291-3.
MATH 240-0 Sec. 28
Linear Algebra
CAESAR Class Number: 40520
8 weeks,
EVAN,
6/22 - 8/12
MW 2 - 4pm
John Alongi
This course will be held in Parkes Hall room 212.
Basic concepts of linear algebra. Solutions of systems of linear equations; vectors and matrices; subspaces, linear independence, and bases; determinants; eigenvalues and eigenvectors; other topics and applications as time permits. Math 230-0 or its equivalent is prerequisite for Math 240-0.
MATH 300-0 Sec. 28
Foundations of Higher Mathematics
CAESAR Class Number: 40348
8 weeks,
EVAN,
6/22 - 8/12
MW 6:30 - 9pm
John Alongi
This course will be held in Parkes Hall room 212.
Introduction to fundamental mathematical ideas such as sets, functions, equivalence relations, and cardinal numbers and to basic techniques of writing proofs. Prerequisite: MATH 240. This course may not be taken for credit after MATH 320-1, 321-1, 330-1, or 331-1 without prior departmental consent.
MATH 310-1 Sec. 28
Probability and Stochastic Processes I
CAESAR Class Number: 40550
8 weeks,
EVAN,
6/23 - 8/13
TuTh 2 - 4:30pm
Angela Grant
This course will be held in Parkes Hall room 214.
Discrete probability spaces, random variables, expected value, combinatorial problems. Special distributions, independence, and conditional probability. Weak law and central limit theorem.
MATH 334-0 Sec. 28
Cancelled
Linear Algebra II
CAESAR Class Number: 42752
8 weeks,
EVAN,
6/23 - 8/13
TuTh 6:30 - 9pm
Angela Barnhill
This course will be held in Parkes Hall room 212.
Abstract theory of vector spaces and linear transformations. Complex vector spaces, unitary and Hermitian matrices. Jordan canonical form. Selected applications as time permits. Students who took 330-1 (formerly 337-1) prior to 2004-05 may not also take 334 for credit toward the major without departmental consent.
Indicates an Evening Course.
Indicates a Study Abroad Course.
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