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Yakk · 04-13-2004, 07:06 AM

Calc1 at my university, from the Calendar:

Quote:

Functions, sequences, limits and continuity. Derivatives and the linear approximation. Applications of the derivative. The Mean Value Theorem and error bounds. Functions of two variables and partial derivatives.

Included was the epsilon-delta definitions of "limit", and the limit definitions of integration and differentiation.

Calc2:

Quote:

Riemann sums and the integral. Antiderivatives and the Fundamental Theorem of Calculus. Applications of the integral. Transforming and evaluating integrals. Improper integrals. Numerical approximation of integrals. Taylor's theorem and polynomial approximation. Convergence of series. Tests for convergence. Functions defined as power series. Taylor series.

However, the university offered 4 or 5 different "calc1" courses, aimed at different kinds of undergrads.

Engeneering Calc1:

Quote:

Functions of engineering importance; review of polynomial, exponential, and logarithmic functions; trigonometric functions and identities. Inverse functions (logarithmic and trigonometric). Limits and continuity. Derivatives, rules of differentiation; derivatives of elementary functions. Applications of the derivative, max-min problems, Mean Value Theorem. Antiderivatives, the Riemann definite integral, Fundamental Theorems. Methods of integration, approximation, applications, improper integrals.

Science Calc1:

Quote:

Functions of a real variable: powers, rational functions, trigonometric, exponential and logarithmic functions, their properties and inverses. Intuitive discussion of limits and continuity. Introduction to sequences. Definition and interpretation of the derivative, derivatives of elementary functions, derivative rules and applications. Riemann sums and other approximations to the definite integral. Fundamental Theorems and antiderivatives; change of variable. Applications to area, rates, average value.

And then we had:

Quote:

Introductory Calculus For Arts and Social Science
An introduction to applications of calculus in business, the behavioural sciences, and the social sciences. The models studied will involve polynomial, rational, exponential and logarithmic functions. The major concepts introduced to solve problems are rate of change, optimization, growth and decay, and integration.