HomeMy WebLinkAboutMAT-281BERGEN COMMUNITY COLLEGE
DIVISION OF MATHEMATICS, SCIENCE AND TECHNOLOGY
DEPARTMENT OF MATHEMATICS
COURSE SYLLABUS
MAT-281 Calculus II
COURSE Calculus II is a study of differentiation and integration of transcendental
DESCRIPTION: function; methods of integration; applications of the integral; indeterminate forms;
improper integrals; infinite series; and applications.
CREDITS/HOURS: 4 credits, 4 hours
PREREQUISITE: MAT-280 Calculus I with a grade of C or better or by permission of the Department
Chair
GENERAL EDUCATION
COURSE: Yes
STUDENT Upon successful completion of this course, students will be able to:
LEARNING
OBJECTIVES: 1. Evaluate derivatives and integrals of logarithmic, exponential and other transcendental
functions.
2. Demonstrate ability to solve applications involving integrals.
3. Evaluate integrals using appropriate integration techniques and rules.
4. Analyze indeterminate forms.
5. Evaluate improper integrals.
6. Test for convergence of infinite series.
7. Analyze parametric equation.
8. Apply polar coordinates in the solution of problems.
ASSESSMENT Each of the above listed student learning objectives will be assessed by:
MEASURES: 1. Written assignments and/or quizzes.
2. Written examinations.
3. Other, as announced by the instructor.
COURSE GRADE: Students should refer to the instructor’s grading policy which will be distributed during the first
meeting of the class.
TEXTBOOK: Calculus, Early Transcendentals Functions, with CalcChat® and CalcView®, 7th Edition,
Larson/Edwards, Cengage Learning Publisher.
REFERENCES: Calculus with Analytic Geometry, Anton, John. J. Wiley & Sons.
The Calculus with Analytic Geometry, Leithold, Harper-Row.
Calculus, Stewart, Brooks-Cole.
Calculus with Analytic Geometry, Thomas & Finney, Addison-Wesley Pub.
3000 Solved Problems in Calculus, Schaum's Solved Problem Series, McGraw-Hill
ELECTRONIC The Department of Mathematics prohibits the use of cell-phones, PDA’s,
DEVICES: laptops, headphones, IPODs and other such devices in mathematics classes
unless otherwise specified in the grading policy provided by the instructor at
the beginning of the semester.
FACULTY CLASS CANCELLATIONS may be found at http://www.bergen.edu/classcancellations
ABSENCE A list is also posted in a glass case near A-129, the main corridor on the first floor and
PROCEDURE: in Ender Hall. If a cancelled class is not listed, it should be reported to the Department
Office (B-302) or the Adjunct Office (C-107).
WEBSITE: Go to http://www.bergen.edu/academics/academic-divisions-departments/mathematics
for more information regarding the Mathematics Department.
STUDENT Learning Assistance Center Room: L-125 879-7489
SUPPORT Math and Science Walk-In Room: L-131 879-7489
SERVICES: Office of Specialized Services Room: L-115 612-5269
COURSE CONTENT:
TOPIC CHAPTER SECTIONS
Integration by Substitution 5 5 (Review)
Numerical Integration 8 6
Inverse Trigonometric Functions: Integration 5 8
Hyperbolic Functions 5 9 (Optional)
Differential Equations: Growth and Decay 6 2
Differential Equations: Separation of Variables 6 3
Differential Equations: The Logistic Equation 6 4 (Optional)
Area of a Region Between Two Curves 7 1 (Review)
Applications of Integration 7 2 – 5
7 6 (Optional)
Integration Techniques 8 1 – 5, 7
Indeterminate Forms and L'Hopital's Rule 5 6
Improper Integrals 8 8
Infinite Series 9 1 – 6
Taylor Polynomials 9 7
Power Series and Taylor Series 9 8 – 10
Parametric Equations 10 2 – 3
Polar Coordinates and Polar Graphs 10 4
Area and Arc Length in Polar Coordinates 10 5
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