MASTER COURSE OUTLINE
Big Bend Community College
Date: April 2009
DEPT: MATH&
NO: 152
(Formerly: MTH 172)
COURSE TITLE: Calculus II
CIP Code: 27.0103
Intent Code: 11
Program Code:
CREDITS:
5
Total Contact Hrs Per Qtr: 55
Lecture Hours Per Qtr: 55
Lab Hours Per Qtr:
Other Hours Per Qtr:
Distribution Designation: Math/Science SQR
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PREPARED BY: Stephen Lane, Barbara Whitney, Sonia Farag, Salah Abed, Tyler Wallace.
COURSE DESCRIPTION:
This course will expand on the applications and techniques of differentiation learned in the first quarter
and give a depth study of integration including the fundamental methods of integrating elementary
algebraic and transcendental functions. It will include the applications of the calculus to transcendental
functions, analytical geometry and other relevant topics.
PREREQUISITE(S): Math& 151 or instructor permission.
TEXT: Appropriate college level text as chosen by instructor
COURSE GOALS:
1. To introduce the student to the concept of the integral and fundamental applications of the
integral calculus including areas, volumes, pressure, work, etc.
2. To teach the student the fundamental techniques of integration.
3. To introduce the student to the calculus of the transcendental functions and work with
applications utilizing these functions.
4. To teach the student L’Hopital’s rule.
COURSE OBJECTIVES: Particular objectives for this quarter include the ability to:
1. integrate basic algebraic and transcendental functions and to apply the integral to abstract and
applied problems;
2. to compute the areas and volumes of various geometrical shapes and figures;
3. to determine arc lengths and surfaces fluid pressure and other standard applications;
4. to apply L’Hopital’s rule in finding the limits of functions;
5. to work with the calculus of transcendental functions;
6. to be able to use the common techniques of integration to integrate various types of algebraic
functions;
7. to explain the relationship between the integral and the concept of area;
8. compute the area of various shapes by using the trapezoidal and other rules.
COURSE CONTENT OUTLINE
Riemann Sums and Definite Integrals
Basic Properties, Area, and the Mean Value Theorem for Integrals
The Fundamental Theorem of Calculus
Indefinite Integrals
Integration by Substitution -Running the Chain Rule
Exponential Functions and the Derivative of ex
Inverse Functions and Their Derivatives
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Logarithmic Functions and the Derivative of In x
Exponential and Logarithmic Integrals
L'Hopital's Rule
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions;
Integrals of Inverse Trigonometric Functions;
Areas Between Curves
Volumes of Solids of Revolution -Disks and Washers
Cylindrical Shells -An Alternative to Washers
Curve Length and Surface Area
Work
Fluid Pressures and Fluid Forces
Centers of Mass
Basic Integration Formulas
Integration by Parts
Partial Fractions
Trigonometric Substitutions
Integral Tables
Improper Integrals
Introduction to Double Integrals
EVALUATION METHODS/GRADING PROCEDURES:
In order to give the instructor the greatest flexibility in assigning a grade for the course, grades will be
based on various instruments at the instructors' discretion. However, to maintain instructional integrity
there must be four class exams or three class exams and a project. A final exam will be given if there are
less than four exams or a project may be substituted for the final exam if there are four in-class exams. At
least 60% of the grade will be based on quantifiable work (exams, homework, quizzes, etc.). The
remaining portion of the grade may be based on quantifiable work, attendance, projects, journal work,
etc., at the instructor's discretion.
The following is a compilation of acceptable grading instruments: In class exams and a final, attendance,
homework or quizzes, research paper, modeling projects on the calculator or computer. Other projects or
assignments may be assigned as deemed appropriate at the instructor's discretion.
PLANNED TEACHING METHODS/LEARNING STRATEGIES:
x Lecture
x Small Group Discussion
Special Project
Laboratory
Audiovisual
Other (List)
Supervised Clinical
Individual Instruction
Division Chair Signature
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