Course Syllabus

Course Description:

[INSTRUCTORS: We have included a general description here as a place holder. As with all sections, feel free to keep this information, replace it with your local course description, or remove this section entirely.]

This course is a continuation of Calculus 1. Topics covered will include techniques of integration, numerical integration, improper integrals, infinite series, parametric equations, polar coordinates, and possibly conic sections. Many applications will be covered including those involving areas between plane regions, volumes of revolution, work, moments and centers of mass, average value, arc length, and surface area. 

Student Learning Outcomes:

[INSTRUCTORS: We have included general student learning outcomes here as a place holder. As with all sections, feel free to keep this information, replace it with your local Student Learning Outcomes, or remove this section entirely.]

Upon successful completion of the course, students will be able to:

• evaluate integrals using a variety of integration techniques including integration by parts, partial fraction decomposition, trigonometric substitution and others.
• devise and evaluate integrals to find the volume and surface area of a solid of revolution, total work, the length of a curve, the center of mass of a solid, and other applications of integration.
• estimate integrals using numerical techniques.
• evaluate improper integrals.
• evaluate the calculus components of parametric and polar relations including finding tangent lines, areas, and arc lengths.
• prove convergence or divergence of sequences and series such as alternating series, harmonic series, Maclaurin and Taylor series, and power series and determine radius and intervals of convergence.
• construct power series representations of functions, derivatives, and integrals.
• estimate and determine maximum errors in finding function values using infinite and finite power series.
• solve separable differential equations

Course Content:

[INSTRUCTORS: Insert course content.]

• Areas between curves, volumes, volumes of revolution by washers, disks, and cylindrical shells, work, average value of a function, the mean value theorem for integrals
• Integration by parts, trigonometric integrals, trigonometric substitution, integration of rational functions by partial fraction decomposition, integration strategies, integration tables, improper integrals, numerical integration, trapezoidal rule, Simpson's rule
• Simple differential equations including differential equation modeling with separable equations, exponential growth and decay, arc length, area of a surface of revolution, moments and centers of mass, hydrostatic pressure and force, applications
• Curves defined by parametric equations, tangents and areas, arc length and surface area, polar coordinates, areas and lengths in polar coordinates, graphing polar and parametric functions, conic sections, as time permits
• Sequences, series, the integral test, estimate of sums, the comparison tests, alternating series, absolute convergence and the ratio and root tests, strategies for testing series, power series, representation of functions as power series, radius and interval of convergence, differentiation and integration of power series, Taylor and Maclaurin series, the binomial series, applications of Taylor polynomials

Textbook:

Great news: your textbook for this class is available for free online!
Calculus, Volume 2 from OpenStax, ISBN 1-947172-14-X

You have several options to obtain this book:

• View online (Links to an external site.) (Links to an external site.)
• Download a PDF (Links to an external site.) (Links to an external site.)

You can use whichever formats you want. Web view is recommended -- the responsive design works seamlessly on any device.

Important Notes:

• All first week assignments need to be completed and submitted by the due date to avoid possibly being dropped from the class.

• Any student needing accommodations should inform the instructor. Students with disabilities who may need accommodations for this class are encouraged to notify the instructor and contact the Disability Resource Center (DRC) [link to your college's DSPS website] early in the quarter so that reasonable accommodations may be implemented as soon as possible. Students may contact the DRC by visiting the Center (located in room A205) or by phone (541-4660 ext. 249 voice or 542-1870 TTY for deaf students). All information will remain confidential.
• Academic dishonesty and plagiarism will result in a failing grade on the assignment. Using someone else's ideas or phrasing and representing those ideas or phrasing as our own, either on purpose or through carelessness, is a serious offense known as plagiarism. "Ideas or phrasing" includes written or spoken material, from whole papers and paragraphs to sentences, and, indeed, phrases but it also includes statistics, lab results, art work, etc.  Please see the YourCollegeName handbook for policies regarding plagiarism, harassment, etc. [link to your college's academic honesty policies]