Course Description
Volumes, arclength, work, separable differential equations. Techniques of integration. Sequences and series, convergence tests, power series and Taylor series. Vectors in three-dimensional space, dot product, cross product, lines and planes.
Athena Title
Calc II for Science and Engr
Equivalent Courses
Not open to students with credit in MATH 2260E, MATH 2260H, MATH 2310H
Prerequisite
MATH 2250 or MATH 2300H
Semester Course Offered
Offered fall, spring and summer
Grading System
A - F (Traditional)
Course Objectives
The student will learn how to solve a variety of applied problems using the integral, including modeling problems by differential equations. The student will learn how to test numerical series for convergence and then apply this to power series and Taylor series approximations. The student will, lastly, acquire familiarity with vector algebra and geometry and apply this to lines and planes in three-dimensional space.
Topical Outline
1. Review of the definition of the integral, Fundamental Theorem of Calculus, area, and integration by substitution. 2. Volumes: cross-sections, cylindrical shells. Arclength and surface area. Work. 3. Separable differential equations. 4. Methods of integration: integration by parts, trigonometric substitutions, partial fractions. Improper integrals. 5. Sequences, series, convergence tests. Power series, Taylor series and applications. 6. Vectors in three dimensions. Dot product, cross product, lines and planes.
General Education Core
CORE III: Quantitative ReasoningSyllabus