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.pdf
Exercise
Lists: Chapter 5 Exercise List.pdf
Review
Sheets: Calculus II Reviews.htm