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# John’s Undergraduate Courses – Mathematical Sciences (3 courses, 3 advanced placement)

**MA 1021. CALCULUS I.**

*Received advanced placement credit upon entering WPI.*

This course provides an introduction to differentiation and its applications. Topics covered include: functions and their graphs, limits, continuity, differentiation, linear approximation, Newton’s method, chain rule, min/max problems, antiderivatives and applications of derivatives. Recommended background: Algebra, trigonometry and analytic geometry. Although the course will make use of computers, no programming experience is assumed.

**MA 1022. CALCULUS II.**

*Received advanced placement credit upon entering WPI.*

This course provides an introduction to integration and its applications. Topics covered include: inverse trigonometric functions, numerical integration, Riemann sums, fundamental theorem of calculus, basic techniques of integration, volumes of revolution, arc length, exponential and logarithmic functions, and applications.

**MA 1023. CALCULUS III.**

*Aug 1997 – Oct 1997, Grade: A*

This course provides an introduction to series, parametric curves and vector algebra. Topics covered include: max/min problems, curve sketching, indeterminate forms, improper integrals, sequences, Taylor’s theorem with remainder, convergence of series and power series, polar coordinates, parametric curves and vector algebra.

**MA 1024. CALCULUS IV.**

*Oct 1997 – Dec 1997, Grade: A*

This course provides an introduction to multivariable calculus. Topics covered include: vector functions, partial derivatives and gradient, multivariable optimization, double and triple integrals, polar coordinates, other coordinate systems and applications.

**MA 2611. APPLIED STATISTICS I.**

*Received advanced placement upon entering WPI.*

This course is designed to introduce the student to data analytic and applied statistical methods commonly used in industrial and scientific applications as well as in course and project work at WPI. Emphasis will be on the practical aspects of statistics with students analyzing real data sets on an interactive computer package. Topics covered include analytic and graphical representation of data, introduction to least squares, discrete and continuous probability models, the central limit theorem, elementary sampling theory, point and interval estimation, and one sample hypothesis tests of means including p-values and significance levels.

**MA 2612. APPLIED STATISTICS II.**

*Mar 1998 – Apr 1997, Grade: A*

This course is a continuation of MA 2611. Topics covered include tests of hypotheses, chi-square tests, regression analysis, survey sampling, and design and analysis of one factor experiments and, as time allows, of multifactor experiments.