# Calculus Course Descriptions

## department of mathematics

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.

**MATH1100 Calculus I (Fall/Spring: 4)**

MATH1100 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 MATH1102 Calculus I for Math and Science Majors, rather than MATH1100.

Corequisite: The relevant discussion section from MATH1121-1135

MATH1100 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.

**MATH1101 Calculus II (Fall/Spring: 4)**

MATH1101 is not open to students who have completed MATH1103. Students contemplating majors in Chemistry, Computer Science/BS, Geology/Geophysics, Mathematics, or Physics should enroll in either MATH1103 Calculus II for Math and Science Majors (Spring) or MATH1105 Calculus II-AP for Math and Science Majors (Fall), rather than MATH1101.

Corequisite: The relevant discussion section from MATH1141-1149

MATH1101 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.

**MATH1102 Calculus I for Math and Science Majors (Fall: 4)**

MATH1102 is not open to students who have completed a calculus course at the college level.

MATH1102 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 MATH1100.

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

**MATH1103 Calculus II for Math and Science Majors (Spring: 4)**

MATH1103 is a continuation of MATH1102. Topics covered in the course include several algebraic techniques of integration, many applications of integration, and infinite sequences and series.

**MATH1105 Calculus II-AP for Math and Science Majors (Fall: 3)**

MATH1105 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 MATH2202 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.

**MATH2202 Multivariable Calculus (Fall/Spring: 4)**

Prerequisite: MATH1101, MATH1103, MATH1105, 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 MATH2202 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.

**MATH3305 Advanced Calculus for Science Majors (Spring: 4)**

Prerequisite: MATH2202

MATH3305 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.