This course is a mathematical treatment of fractal geometry, a field of mathematics partly developed by Benoit Mandelbrot (1924–2010) that continues to be actively researched in the present day. Fractal geometry is a mathematical examination of the concepts of self-similarity, fractals, and chaos, and their applications to the modeling of natural phenomena. In particular, we will develop the iterated function system (IFS) method for describing fractals, study the concept of fractal dimension among other theoretical concepts, and examine Julia and Mandelbrot sets (time permitting).

This course serves as an introduction to mathematical reasoning and pays particular attention to helping students learn how to write proofs. The topics covered may include logic, elementary set theory, functions, relations and equivalence relations, mathematical induction, sequences, and quantifiers. Additional topics may vary from semester to semester.

Limited to 25 students per section.

This course serves as an introduction to mathematical reasoning and pays particular attention to helping students learn how to write proofs. The topics covered may include logic, elementary set theory, functions, relations and equivalence relations, mathematical induction, sequences, and quantifiers. Additional topics may vary from semester to semester.

Limited to 25 students per section.

Elementary vector calculus; introduction to partial derivatives; multiple integrals in two and three dimensions; line integrals in the plane; Green’s theorem. 

A grade of C or better in MATH 121 or placement into MATH 211 or consent of the Department is required. 

How to handle overenrollment: Students may be moved to another section that fits their course schedule.

Elementary vector calculus; introduction to partial derivatives; multiple integrals in two and three dimensions; line integrals in the plane; Green’s theorem. 

A grade of C or better in MATH 121 or placement into MATH 211 or consent of the Department is required. 

How to handle overenrollment: Students may be moved to another section that fits their course schedule.

Elementary vector calculus; introduction to partial derivatives; multiple integrals in two and three dimensions; line integrals in the plane; Green’s theorem. 

A grade of C or better in MATH 121 or placement into MATH 211 or consent of the Department is required. 

How to handle overenrollment: Students may be moved to another section that fits their course schedule.

A continuation of MATH 111. Inverse trigonometric functions; methods of integration, both exact and approximate, and applications (if time allows); improper integrals; l’Hôpital’s rule; infinite series, power series and the Taylor development; and polar coordinates.

A grade of C or better in MATH 106 or 111, or Math Placement into 121, or consent of the Department is required.

How to handle overenrollment: Students may be moved to another section that fits their course schedule.

A continuation of MATH 111. Inverse trigonometric functions; methods of integration, both exact and approximate, and applications (if time allows); improper integrals; l’Hôpital’s rule; infinite series, power series and the Taylor development; and polar coordinates.

A grade of C or better in MATH 106 or 111, or Math Placement into 121, or consent of the Department is required.

How to handle overenrollment: Students may be moved to another section that fits their course schedule.

A continuation of MATH 111. Inverse trigonometric functions; methods of integration, both exact and approximate, and applications (if time allows); improper integrals; l’Hôpital’s rule; infinite series, power series and the Taylor development; and polar coordinates.

A grade of C or better in MATH 106 or 111, or Math Placement into 121, or consent of the Department is required.

How to handle overenrollment: Students may be moved to another section that fits their course schedule.

A continuation of MATH 111. Inverse trigonometric functions; methods of integration, both exact and approximate, and applications (if time allows); improper integrals; l’Hôpital’s rule; infinite series, power series and the Taylor development; and polar coordinates.

A grade of C or better in MATH 106 or 111, or Math Placement into 121, or consent of the Department is required.

How to handle overenrollment: Students may be moved to another section that fits their course schedule.