SYLLABUS
MTH 126 / Calculus II
4 Semester Credit Hours A / 4 Contact Hours
- Course Description
This is the second of three courses in the basic calculus sequence. Topics include vectorsin the plane and in space, lines and planes in space, applications of integration (such asvolume, arc length, work and average value), techniques of integration, infinite series,polar coordinates, and parametric equations.
- Prerequisite
C or higher in MTH 125 or equivalent.
- Course Textbooks, Manuals, or Other Required Materials
Thomas, G.; Weir, M. ; Hass, J. (2014). Thomas’Calculus Early Transcendentals (14th ed.), bundled with MyMathLab. Boston: Pearson/Addison Wesley.
- Course Learning Outcomes
The objective of this course is to provide an understanding of concepts, developcompetent skills, and demonstrate applications in the following areas:
- Applications of integration
- Specialized integration techniques
- Infinite series
- Polar and parametric representations
- Vectors
This course seeks to build upon the experiences and knowledge from Calculus I whilepreparing students for Calculus III.
- Outline of Course Topics
- This course shall include the following topics as a minimum.
- Application of Integration
- Area of region between two curves
- Volumes of solids of revolution
- Arc length
- Work
- Fluid pressure
- Techniques Integration
- Integration by parts
- Trigonometric integrals
- Trigonometric substitution
- Partial fractions
- Indeterminate forms and L’Hospital’s Rules
- Improper integrals
- Sequences
- Convergence of divergence of infinite series
- Series and convergence
- The integral test and p-series
- Comparisons of series
- Alternating series
- The ratio and root tests
- Power series
- Taylor, Maclaurin series and Binomial series
- Parametric equations
- Polar coordinates and polar graphs
- Area and arc length in polar coordinates
- Vectors in the plane and space
- Operations with vectors
- Lines and planes in space
- Optional topics may include the following.
- Moments, center of mass, and centroids
- Conics
- Methods of Instruction
- Lectures
- Class discussion
- Computer/Internet tutorials
- Video tutorials
- Individual instruction (instructor and tutors)
- Evaluation and Assessment
The course grade will be determined by the following methods:
- Written and oral quizzes
- Written exams
- Oral presentations (individual and/or group)
- Homework
- Class participation
- Projects
- Computer activities
- Comprehensive final exam
- The individual instructor and/or department will determine grades based upon the following: A=90–100%, B=80–89%, C=70–79%, D=60–69%, and F=below 60%.
- Attendance
Students are expected to attend all classes for which they are registered. Students who are unable to attend class regularly, regardless of the reason or circumstance, should withdraw from that class before poor attendance interferes with the student’s ability to achieve the objectives required in the course. Withdrawal from class can affect eligibility for federal financial aid.
- Statement on Discrimination/Harassment
NACC and the Alabama State Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual’s race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated.
- Statement of Adherence to ADA Guidelines
Instructors will adhere to the Americans With Disabilities Act and/or Section 504 of the Rehabilitation Act (1973) and will publish the following statement on course outlines given to students at the beginning of each semester: “Any individual who qualifies for reasonable accommodations under the American With Disabilities Act or Section 504 of the Rehabilitation Act (1973) should notify the instructor immediately.”
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