Course Description
Integral calculus with techniques of integration, differential equations, applications to volumes and physics. Improper integrals, Taylor series, and applications. Introduction to vectors and applications.
Athena Title
Integral Calculus Honors
Equivalent Courses
Not open to students with credit in MATH 2260, MATH 2260E, MATH 2260H
Prerequisite
(MATH 2250 or MATH 2300H or MATH 2400 or MATH 2400H) and permission of Honors
Semester Course Offered
Not offered on a regular basis.
Grading System
A - F (Traditional)
Course Objectives
In this course the student will be expected to gain computational skill with calculus concepts and do a significant amount of problem solving. The clear and careful exposition of word problems will be quite important. The honors student in this class will be expected to tackle and solve somewhat more challenging problems than appear in the non-honors equivalent, MATH 2210.
Topical Outline
1. Review of the definition of the integral, Fundamental Theorem of Calculus. Techniques of integration: substitution, parts, partial fractions. 2. Applications to differential equations, volumes, work, center of mass. 3. Improper integrals, Taylor polynomials, sequences and series, convergence, Taylor series and applications. 4. Introduction to vectors, parametric equations, velocity and acceleration, dot and cross products. Kepler's laws.
General Education Core
CORE III: Quantitative ReasoningSyllabus