Collin College

COLLIN COLLEGE

COURSE SYLLABUS

Course Number: MATH 2419

Course Title: Accelerated Calculus II

Course Description: A study of infinite series, parametric equations and polar functions, vectors in two and three dimensions, vector-valued functions, functions of several variables, cylindrical and spherical coordinates, partial derivatives, multiple integrals and their applications. Graphing calculator required. Lab required.

Course Credit Hours: 4

Lecture Hours: 3

Lab Hours: 3

Prerequisite: MATH 2414 or MATH 2417

Student Learning Outcomes: Upon successful completion of this course, students should be able to do the following:

1.  Work with parametric equations and polar curves from the viewpoint of calculus. (Communication Skills)

2.  Find the limit of a sequence and use the series convergence tests. Work with power series, including Taylor, Maclaurin, and binomial series and applications.

3.  Find equations of lines and planes in space using vectors, and solve related problems.

4.  Use the calculus of vector valued functions to analyze curves and motion. (Critical Thinking, Communication Skills)

5.  Draw space graphs using rectangular, cylindrical, and spherical coordinates. Find limits of functions both graphically and analytically, and study the continuity and differentiability of functions of two or more variables.

6.  Find partial derivatives and gradients with applications to optimization and Lagrange Multipliers. (Critical Thinking)

7.  Find double and triple integrals, with applications in different coordinate systems and to finding volumes and surface area. (Empirical/Quantitative Skills)

8.  Use an indicated change of variables to find the Jacobian and then evaluate double integrals. (Critical Thinking )

Withdrawal Policy: See the current Collin Registration Guide for last day to withdraw.

Collin College Academic Policies: See the current Collin Student Handbook.

Americans with Disabilities Act Statement: Collin College will adhere to all applicable federal, state and local laws, regulations and guidelines with respect to providing reasonable accommodations as required to afford equal educational opportunity. It is the student’s responsibility to contact the ACCESS office, SCC-G200 or 972.881.5898 (V/TTD: 972.881.5950) to arrange for appropriate accommodations. See the current Collin Student Handbook for additional information.

Spring 2013