Math 181
-- Calculus II
Catalog Description
This course is a continuation of MATH 180. It focuses on integration and its relation to
differentiation. Topics include definite
integrals, anti-derivatives, the Fundamental Theorems of Calculus, applications
of integration, sequences, and series.
The central ideas are explored from the symbolic, graphic, numeric, and
physical model points of view. Use is
made of graphing calculators. Students
who have received credit for MATH 122 may not receive credit for MATH 181. Prerequisite:
MATH 180 or its equivalent. Satisfies
the Mathematical Approaches core requirement.
Objectives
The
primary goal for students in this course is to appreciate the power and the
beauty of the calculus. Students will
study concepts, techniques, and applications connected to the central ideas of
integration, sequences, and series.
Students will also sharpen their critical thinking, logical reasoning,
and problem solving skills.
This course satisfies the Mathematical Approaches category of the
university's core curriculum by developing an appreciation of the power of
mathematics and formal methods to provide a way of understanding a problem
unambiguously, describing its relation to other problems, and specifying
clearly an approach to its solution. A
student in this course will develop a variety of mathematical skills, an
understanding of formal reasoning, and a facility with applications. Specifically, this course will expose students
to formal logic to the extent that it is required to understand mathematical
proof.
Syllabus: Math 181
Syllabus
Exercise
Lists: Chapter 5 Exercise List
Review
Sheets: Calculus II Reviews