MATH 2564 - Calculus II

Description
A continuation of MATH 2554. Topics include applications of integration, techniques of integration, indeterminate forms, improper integrals, infinite series, conic sections, parametric curves, and polar coordinates.

Pre-Requisite
Completion of MATH 2554 with a grade greater than or equal to C.

4 Credit Hour(s)

Contact Hours
60 lecture hours

4 Faculty Load Hour(s)

Semesters Offered
Fall, Spring

ACTS Equivalent
MATH2505 (ACTS) - Calculus II

Grade Mode
A-F

Learning Outcomes
Upon successful completion of this course students will exhibit mastery of certain knowledge and basic skills. These skills include, but are not limited to:

Evaluate area between curves.
Evaluate surface area and arc length.
Compute volumes of solids of revolution.
Compute work.
Evaluate definite and indefinite integrals using a variety of integration techniques.
Evaluate improper integrals.
Determine convergence or divergence of infinite series.
Represent various functions using power series (including Taylor and Maclaurin series).
Convert among rectangular, polar and parametric forms.
Apply calculus topics using polar coordinates and parametric equations.
Identify basic properties of and graph conic sections.
General Education Outcomes Supported
Students develop higher order thinking skills.
Students achieve mathematical literacy

General Education Outcomes Supported

Students develop higher order thinking skills.
Students achieve mathematical literacy

Standard Practices
Topics list

Applications of integration including velocity and net change, area between curves, volumes of revolution, length of curves, and surface area of revolution, and work
Logarithmic and Exponential functions and models
Hyperbolic Functions
Integration techniques including basic approaches, integration by parts, trigonometric integrals, trigonometric substitution, and partial fractions
Improper Integrals
Sequences
Infinite Series and Series Tests
Power Series
Polynomial Approximations and Taylor/Maclaurin Series
Parametric Equations
Polar coordinates, graphs and areas of polar graphs
Conic Sections

Learning activities

Courses must, at a minimum, cover the core learning outcomes for each topic. Faculty may add to these outcomes, but may not omit any of them.
The content of the course may be taught with or without the use of a graphing calculator as deemed appropriate by the instructor.

Assessments

There will be a common departmental portion on the required comprehensive final exam.
These questions will be in direct support of the Learning Outcomes.
Instructors will report the results of the individual departmental questions when grades are submitted.

Grading Guidelines

At least 70% of the student’s final grade should come from proctored work.