| Course ID: | MATH 2310H. 4 hours. |
| Course Title: | Integral Calculus (Honors) |
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. |
| Oasis Title: | Integral Calculus Honors |
| Duplicate Credit: | 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. |