## Math 121 -- Calculus III

Calculus III is the third semester of calculus, taken by first-year students
who have sufficient calculus background from high school or by students who have taken
Calculus II (Math 114 and either 115 or 116). It covers both differential
and integral multivariable calculus,
Informal geometric arguments take the place of formal mathematical reasoning, so
students who desire a rigorous treatment of the subject should take Math 215-216 instead.

Math 121 includes a variety of applications in all disciplines, and is appropriate
for first-year students who have not yet decided on a major.
Depending on the instructor, the mix of applications may favor either the
natural or social sciences, and students choosing this course should be sure to determine
this emphasis.

Math 121 is accessible to students who have taken only a year of calculus in high school,
yet it has a visual appeal and wealth of applications that far surpasses single variable calculus.
It is excellent preparation for many 200-level electives in mathematics,
as well as courses in chemistry and physics. It may substitute for Math 216 in the requirements for
the math major and minor and as a prerequisite for Math 317 and Math 333,
but Math 216 provides better preparation for these courses.

** Prerequisites: ** Math 114 and either 115 or 116, or advanced placement

**Who should take this course?**

Students considering a major in the natural sciences, or anyone else looking for
a thorough treatment of multivariable calculus

Students considering a major or minor in mathematics who want to take multivariable calculus
before linear algebra

Students who have wish to build on their knowledge of single-variable calculus to enjoy the
visual appeal and wealth of applications of functions whose graphs are in 3-space and beyond.

** Topics covered: **

Geometry of Euclidean space and parameterized curves

Functions of several variables and partial derivatives

Chain rule and Taylor approximations

Unconstrained and constrained optimization

Multiple integrals in rectangular, cylindrical and spherical coordinates

Line and Surface Integrals, including Green's Theorem, the Divergence Theorem, and Stokes Theorem

Applications

For detailed information about Math 121 this year, please consult the list of Fall Courses and Spring Courses linked to
the Mathematics and Statistics Home Page.