Download ma 166* analytic geometry and calculus ii

MA 166*
ANALYTIC GEOMETRY AND CALCULUS II
Course Outcomes
1. Learn the basic notions used in vector algebra which are needed in their early courses in engineering and science, and
which are also needed later in the development of vector calculus. [A1, A2, A3]
2. Learn techniques of integration which are needed to compute basic integrals in engineering and science. [A1, A2, A3]
3. Apply integration to compute geometric and physical quantities of importance in science and engineering. [A1, A2, A3]
4. Learn the basic ideas in sequences and series which will be needed in later studies of Fourier analysis and signal
processing. [A1, A2, A3]
Vectors
1.
2.
3.
4.
Cartesian Coordinates
Vectors in Space
Dot Product
Cross Product
Techniques of Integration
1. Integration by Parts
2. Trigonometric
Integration
3. Trigonometric
Substitutions
4. Partial Fractions
5. Improper Integrals
6. L’Hopital’s Rule
* Equivalent Courses: MA 162 (includes a 2nd hr. recitation)
MA 173 (Accelerated option – requiring testing out of MA 165)
MA 181 (Honors option – requiring testing out of MA 165)
Applications of the
Integral
1. Volumes by Disks and
Shells
2. Length of a Curve
3. Area of a Surface
4. Work
5. Moments and Center of
Gravity
Sequences and Series
1. Convergence
2. Integral, Comparison,
Ratio and Root Tests
3. Alternating Series and
Absolute Convergence
4. Power Series and
Taylor Series
Curves in the Plane
1. Parametrized Curves
2. Polar Coordinates
COURSE NUMBER: MA 166
COURSE TITLE: Analytic Geometry and Calculus II
REQUIRED COURSE OR ELECTIVE COURSE: Required
TERMS OFFERED: Fall, Spring, and Summer
TEXTBOOK/REQUIRED MATERIAL: J. Stewart, Calculus, Early
Transcendentals, 5th ed., Brooks/Cole Publishing Company, 2002.
PRE-REQUISITES: MA 165 Analytic Geometry and Calculus I
COORDINATING FACULTY: S.K. Yeung, Chair, Calculus Committee
COURSE OUTCOMES:
1.
Learn the basic notions used in vector algebra which are needed in
COURSE DESCRIPTION: Continuation of MA 165. Vectors in two and three
their early courses in engineering and science, and which are also
dimensions. Techniques in integration, infinite series, polar coordinates, surfaces
needed later in the development of vector calculus. (A1, A2, A3]
in three dimensions. Not open to students with credit in MA 162.
2. Learn techniques of integration which are needed to compute basic
integrals in engineering and science. [A1, A2, A3]
ASSESSMENTS TOOLS:
3. Apply integration to compute geometric and physical quantities of
1. Daily homework
importance in science and engineering. [A1, A2, A3]
2. Quizzes
4. Learn the basic ideas in sequences and series which will be needed in
3. Three one-hour exams
later studies of Fourier analysis and signal processing. [A1, A2, A3]
4. Comprehensive final exam.
PROFESSIONAL COMPONENT:
1. Mathematics – 4 credits (100%)
RELATED ME PROGRAM OUTCOMES:
A1. Math and science
A2. Engineering fundamentals
A3. Analytical skills
NATURE OF DESIGN CONTENT:
N/A
COMPUTER USAGE:
None
COURSE STRUCTURE/SCHEDULE:
1. Lecture – 3 days per week at 50 minutes.
2. Recitation – 1 day per week at 50 minutes.
PREPARED BY: A. Weitsman
REVISION UPDATE: June 14, 2007