| Math 158: Basic Calculus II - Catalog Information |
| Prerequisites: MATH 157
Frequency: Fall/Spring Terms Credit: (3-2) 4 Content: Infinite series, power series, Taylor series. Vectors, lines and planes in space. Functions of several variables: Limit, continuity, partial derivatives, the chain rule, directional derivatives, tangent plane approximation and differentials, extreme values, Lagrange multipliers. Double and triple integrals with applications. The line integral. Goals: Calculus was first discovered to meet the needs of the
scientists of the sixteenth and seventeenth centuries. Diferential
calculus deals with the problem of calculating rates of change. It enables
us to define slope of curves, to calculate velocities, accelerations
of moving bodies and to predict the times when planets would be closest
together or farthest apart. Integral calculus deals with the problem
of determining a function from information about its rate of change. It
enables us to calculate the future location of a body from
its present position, to find the areas of irregular regions in the plane,
to measure the lengths of curves, and to find the volumes and
masses of arbitrary solids. The goal of this course is to present a modern
view of calculus enhanced by the use of technology.
Course Outline:
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