![]() ![]() Test the continuity of functions of several variablesĬalculate partial derivatives and interpret them geometrically, calculate higher partial derivativesĭetermine the equation of a tangent plane to a surface calculate the change in a function by linearization and by differentialsĭetermine total and partial derivatives using chain rulesĬalculate directional derivatives and interpret the results Write the equations of lines and planes in spaceĭraw quadratic surfaces and cylinders using the concepts of trace and cross-sectionĭetermine the relation between these functions and the parametric representations of space curvesĬompute the limit, derivative, and integral of a vector valued functionĬalculate the arc length of a curve and its curvature identify the unit tangent, unit normal and binormal vectorsĬalculate the tangential and normal components of a vectorĭefine functions of several variables and know the concepts of dependent variable, independent variables, domain and range.Ĭalculate limits of functions in two variables or prove that a limit does not exist ![]() Identify and apply the parts of the three-dimensional coordinate system, distance formula and the equation of the sphereĬompute the magnitude, scalar multiple of a vector, and find a unit vector in the direction of a given vectorĬalculate the sum, difference, and linear combination of vectorsĬalculate the dot product and cross product of vectors, use the products to calculate the angle between two vectors, and to determine whether vectors are perpendicular or parallelĭetermine the scalar and vector projections Prerequisite: Placement in MTH 265 or completion of MTH 264 or equivalent with a grade of C or better. This course replaces MTH 277 or MTH 178 and is the third course in a three-course sequence. Designed for mathematical, physical, and engineering science programs. Topics include vector functions, multivariate functions, partial derivatives, multiple integrals, and an introduction to vector calculus. Focuses on extending the concepts of function, limit, continuity, derivative, integral, and vector from the plane to the three dimensional space. Prepares students for further study in calculus. ![]()
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