# Calculus

**MT100 Calculus I (Fall/Spring: 4)**

MT100 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 MT102 Calculus I for Math and Science Majors, rather than MT100.

*Co-requisite: The appropriate discussion section from among MT121-135*

MT100 is a first course in the calculus of one variable intended for biology, computer science, economics, management, and pre-professional 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.

**MT101 Calculus II (Fall/Spring: 4)**

MT101 is not open to students who have completed MT103 or MT105. Students contemplating majors in Chemistry, Computer Science/BS, Geology/Geophysics, Mathematics, or Physics should enroll in either MT103 Calculus II for Math and Science Majors (Spring) or MT105 Calculus II-AP for Math and Science Majors (Fall), rather than MT101.

*Co-requisite: The appropriate discussion section from among MT141-149*

MT101 is a second course in the calculus of one variable intended for biology, computer science, economics, management, and pre-professional 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.

**MT102 Calculus I for Math and Science Majors (Fall: 4)**

MT102 is not open to students who have completed a calculus course at the college level.

MT102 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 MT100.

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

**MT103 Calculus II for Math and Science Majors (Spring: 4)**

MT103 is a continuation of MT102. Topics covered in the course include several algebraic techniques of integration, many applications of integration, and infinite sequences and series.

**MT105 Calculus II-AP for Math and Science Majors (Fall: 3)**

MT105 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 is 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 MT202 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 (polar coordinates, elementary differential equations) may be introduced, as time permits.

**MT202 Multivariable Calculus (Fall/Spring: 4)**

Prerequisite: MT101, MT103, MT105, an equivalent (e.g., 5 on the BC Calculus Advanced Placement Exam), or permission of the Department Undergraduate Vice 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.

**MT305 Advanced Calculus for Science Majors (Spring: 4)**

Prerequisite: MT202.

MT305 is required for Geology-Geophysics, Geophysics, and Physics majors. It is also recommended for Chemistry majors.