The Center for Disability Services/SNAP is committed to assisting qualified students with disabilities achieve their academic goals by providing reasonable academic accommodations under appropriate circumstances. If you have a disability and anticipate the need for an accommodation in order to participate in this class, please connect with the Center for Disability Services/SNAP. They will assist you in getting the resources you may need to participate fully in this class. You can contact the Center for Disability Services/SNAP office at 843.953.1431 or at snap@cofc.edu. You can find additional information and request academic accommodations at the Center for Disability Services/SNAP website. Currently, SNAP requires students to schedule alternate testing arrangements at least one week before the exam date.

MATH 221 is an introduction to multivariable calculus. We'll cover the calculus of geometry and motion in three-space, continuity and differentiability of functions of several variables, line integrals and multiple integrals, the theorems of Green and Stokes, and the Divergence Theorem.

By the end of the course, students will be able to

1. Identify, sketch and parametrize surfaces and space curves. Identify and plot vector fields.
2. Algebraically manipulate vectors using the dot product, scalar product and cross product to answer geometric questions.
3. Apply differentiation and integration to parametrized curves to draw conclusions about the geometry of the curve or about the trajectory of a particle.
4. Compute, interpret, and apply various kinds of derivatives of multi-variable functions (whether scalar functions or vector functions).
5. Solve multi-variable optimization problems, both constrained and unconstrained.
6. Set up, evaluate, and apply integrals over two or three dimensional regions, using various coordinate systems and various orders of integration.
7. Convert multiple integrals between different orders of integration and/or different coordinate systems.
8. Evaluate and apply line integrals and surface integrals of both scalar functions and vector fields.
9. Evaluate integrals by selecting an appropriate version of the Fundamental Theorem of Calculus (FTC for Vector Fields, Green's Theorem, Stokes' Theorem, or the Divergence Theorem) to transform the integral into an easier one with a domain of integration having a different dimension.

This course can be used to satisfy some requirements of the undergraduate mathematics degree program, for which there are also some standard goals; students will:

1. use algebra, geometry, calculus and other track-appropriate sub-disciplines of mathematics to model phenomena in mathematical terms;
2. use algebra, geometry, calculus and other track-appropriate sub-disciplines of mathematics to derive correct answers to challenging questions by applying the models from the previous Learning Outcome; and
3. write complete, grammatically and logically correct arguments to prove their conclusions.

These outcomes will be assessed on the final exam.

As members of the College of Charleston community, we affirm, embrace and hold ourselves accountable to the core values of integrity, academic excellence, liberal arts education, respect for the individual student, diversity, equity and inclusion, student centeredness, innovation and public mission. Congruent with these core values, the College of Charleston expects that every student and community member has a responsibility to uphold the standards of the honor code, as outlined in the Student Handbook. In pursuit of academic learning, you are expected to reference the work of other scholars, and complete your own academic work, while utilizing appropriate resources for assistance. Any acts of suspected academic dishonesty will be reported to the Office of the Dean of Students and addressed through the conduct process. Your adherence to these practices and expectations plays a vital role in fostering a campus culture that balances trust and the pursuit of knowledge while producing a strong foundation of academic excellence at the College of Charleston. Any questions regarding these expectations can be clarified by your instructor.

If in-person classes are suspended, I'll announce a detailed plan for a change in modality to ensure the continuity of learning. All students must have access to a computer equipped with a web camera, microphone, and Internet access. Resources are available to provide students with these essential tools.