# Calculus Course Descriptions

## department of mathematics

Students with deficient backgrounds who wish to enter our Calculus courses should consider first enrolling in MT 050 Modern Math Analysis I (and perhaps completing MT 051 Modern Math Analysis II) in the Woods College of Advancing Studies. However, students with strong algebra skills should enter either MT 100 or MT 102 directly, even if they have taken only a little or no PreCalculus, since each of these courses contains its own PreCalculus component.

Be sure to enroll in the Calculus course that's right for your major or program. See our advisement website to help make the right decision.

**MT 100 Calculus I (Fall/Spring: 4)**

MT 100 is not open to students who have completed a calculus course at the college level. Students contemplating majors in Chemistry, Computer Science/B.S., Geology/Geophysics, Mathematics, or Physics should enroll in MT 102 Calculus I for Math and Science Majors, rather than MT 100.

Corequisite: The relevant discussion section from MT 121-135

MT 100 is a first course in the calculus of one variable intended for biology, computer science, economics, management, and premedical students. It is open to others who are qualified and desire a more rigorous mathematics course at the core level.

Topics include a brief review of polynomials, trigonometric, exponential, and logarithmic functions, followed by discussion of limits, derivatives, and applications of differential calculus to real-world problem areas. An introduction to integration concludes the course.

**MT 101 Calculus II (Fall/Spring: 4)**

MT 101 is not open to students who have completed MT 103. Students contemplating majors in Chemistry, Computer Science/BS, Geology/Geophysics, Mathematics, or Physics should enroll in either MT 103 Calculus II for Math and Science Majors (Spring) or MT 105 Calculus II-AP for Math and Science Majors (Fall), rather than MT 101.

*Corequisite:* *The relevant discussion section from MT 141-149*

MT 101 is a second course in the calculus of one variable intended for biology, computer science, economics, management, and premedical students. It is open to others who are qualified and desire a more rigorous mathematics course at the core level.

Topics include an overview of integration, basic techniques for integration, a variety of applications of integration, and an introduction to (systems of) differential equations.

**MT 102 Calculus I for Math and Science Majors (Fall: 4)**

MT 102 is not open to students who have completed a calculus course at the college level.

MT 102 is a first course in the calculus of one variable intended for Chemistry, Computer Science/BS, Geology/Geophysics, Mathematics, and Physics majors. It is open to others who are qualified and desire a more rigorous calculus course than MT 100.

Topics covered include the algebraic and analytic properties of the real number system, functions, limits, derivatives, and an introduction to integration.

**MT 103 Calculus II for Math and Science Majors (Spring: 4)**

MT 103 is a continuation of MT 102. Topics covered in the course include several algebraic techniques of integration, many applications of integration, and infinite sequences and series.

**MT 105 Calculus II-AP for Math and Science Majors (Fall: 3)**

MT 105 is a second course in the calculus of one variable intended for Chemistry, Computer Science/BS, Geology/Geophysics, Mathematics, and Physics majors. It is offered only in the Fall semester, and designed to meet the needs of students who have completed a year of Calculus in high school at either the AB or BC curriculum level -- most of whom have received AP credit for Calculus, but who are not yet prepared to advance to MT 202 Multivariable Calculus.

The first third of the course will be a review of the primary techniques and interesting applications of integration. The last two-thirds of the course provide a solid introduction to the topics of infinite sequences and series (the topics which constitute the difference between the AB and BC curriculum). Other topics (e.g., polar coordinates, differential equations) may be introduced as time permits.

**MT 202 Multivariable Calculus (Fall/Spring: 4)**

Prerequisite: MT 101, MT 103, MT 105, an equivalent (e.g., five on the BC Calculus Advanced Placement Exam), or permission of the Department Chair.

This course is for students majoring in Chemistry, Geology-Geophysics, Mathematics, and Physics, as well as other students who have completed integral Calculus.

Topics include vectors in two and three dimensions, analytic geometry of three dimensions, parametric curves, partial derivatives, the gradient, optimization in several variables, multiple integration with change of variables across different coordinate systems, line integrals, and Green's Theorem.

Prerequisite: A strong background in single variable calculus, as demonstrated, for example, by a score of 5 on the AP-BC Examination.

One section of MT202 in the fall is designated Honors, intended for students with strong preparation and high motivation. Topics covered include vector analysis, partial differentiation, multiple integration, line integrals, Green's theorem, Stokes's theorem, and the Divergence Theorem.

**MT 305 Advanced Calculus for Science Majors (Spring: 4)**

Prerequisite: MT 202

MT 305 is required for Geology-Geophysics, Geophysics, and Physics majors. It is also recommended for Chemistry majors.

Topics include linear second order differential equations, series solutions of differential equations including Bessel functions and Legendre polynomials, and solutions of the diffusion and wave equations in several dimensions.