MATH 300 - Calculus III

Institution:

Point Park University

Subject:

MATH

Description:

Sequences and series, polar coordinates, two and three dimensional vectors and curves, functions of several variables, partial differentiation, multiple integrals and applications. Course Objectives (1) Use the definition of an infinite series as the sum of an infinite sequence to construct the series. (2) Determine convergence or divergence of an infinite series by evaluating the limit of the nth partial sum for geometric and telescoping series. (3) Recognize geometric series, harmonic series, and alternating series. (4) Construct Taylor Series expansions and Taylor polynomial approximations. (5) Construct and use the first several terms of a series to approximate an integral. (6) Change from polar to rectangular coordinates and vice versa. (7) Represent and evaluate functions of two and three variables graphically, numerically, and by formulas. (8) Find the magnitude, direction and component form of displacement vectors. (9) Perform vector addition, subtraction, scalar multiplication, dot product, geometric and component forms cross product. (10) Use vector models for applications of velocity, force, work, finding angles between vectors, and projections. (11) Find partial derivatives using numeric, graphic, and algebraic computations. (12) Interpret units and signs of partial derivatives. (13) Use a Riemann Sum to approximate a double integral. (14) Interpret the two-variable integral as a volume under the graph of a function of two variables. (15) Set up and evaluate double and triple integrals over 2- and 3- dimensional regions. (16) Apply techniques real-world problems.

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.pointpark.edu

Phone Number:

(412) 391-4100

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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