ccnow-integral-calculus-12-13

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INTEGRAL CALCULUS

MATH 252 (5 credit hrs)

Chemeketa Community College

College Credit Now (CCN)

Western Mennonite School Period 4 Course Syllabus Spring 2013 Instructor:

Dave Parker davep@westernmennoniteschool.org Room 4, weekdays 9:00 AM – 3:00 PM, 503-363-2000

Prerequisites:

Grade of “B” or better in MTH 111, 112, and 251 and teacher recommendation

Text:

Larson, Roland et al. Calculus Alternate Fifth Ed. D. C. Heath and Co.. Lexington, MA. 1994

Calculators:

A graphing calculator is required for this course. It is required that students become familiar with a graphing calculator at this level of mathematics.

Course Description: This course includes the study of the construction of functions from their rates of change, definite and indefinite integrals, integration techniques, and applications of integration. Students are encouraged to discuss and investigate mathematics collaboratively. All course work may be done collaboratively except individual exams.

Goals & Objectives: 1. 2. 3. 4. 5. 6. 7.

Create mathematical models of abstract and real world situations using anti-derivative functions. Use inductive reasoning to develop math conjectures involving these function models. Use deductive reasoning to verify and apply mathematical arguments involving these models. Use mathematical problem solving techniques involving integrals and anti-derivative functions, including the use of graphical, symbolic, narrative and tabular representations. Make mathematical connections and solve problems from other disciplines involving integrals and antiderivative functions. Use oral and written skills to individually and collaboratively communicate about these function models. Apply appropriate technology to enhance mathematical thinking and understanding, solve mathematical problems, and judge the reasonableness of their results. Explore independent, non-trivial projects related to these derivative and anti-derivative function models and applications.

Major Assumptions:

You can only learn math by doing math. Honest effort and doing your own work is more important than arriving at all the ‘right’ answers. Let’s make the journey count! Problem Solving is never accomplished without reaching a point of not knowing what to do, struggling with that, and overcoming.

Graded Criteria: Tests:

50%

Homework: 50%

Tests will be given over material in the text, as well as any additional information covered in class. They will consist of quizzes, chapter tests and a Final Exam. All mathematics is comprehensive and tests will contain previously covered material. Homework will be assigned frequently for it is an opportunity to practice. Due dates for homework will be decided according to class progress, no less than 2 days.

Classroom Participation:

We all come to learn from each other and will respect each other. Do not let your behavior limit another’s learning. Disruptive actions do this directly; non-participation does it indirectly. You are bound by the WMS student handbook.


Calculus II

VI) a) b) c) d) e) f) g)

Course Content Outline:

Applications of Integration Area of a Region Between Two Curves Volume: The Disk Method Volume: The Shell Method Arc Length and Surface of Revolution Work Fluid Pressure and Fluid Force Moments, Centers of Mass, and Centroids

VII) a) b) c) d) e) f) g) h)

Exponential and Logarithmic Functions Review Exponential Functions Differentiation and Integration of Exponential Functions Inverse Functions Review Logarithmic Functions Logarithmic Functions and Differentiation Logarithmic Functions and Integration Growth and Decay Indeterminate Forms and L’Hopital’s Rule

VIII) a) b) c) d) e) f) g)

Trigonometric Functions and Inverse Trigonometric Functions Review of Trigonometric Functions Graphs and Limits of Trigonometric Functions Derivatives of Trigonometric Functions Integrals of Trigonometric Functions Inverse Trigonometric Functions: Differentiation Inverse Trigonometric Functions: Integration and Completing the Square Hyperbolic Functions

IX)

Integration Techniques Basic Integration Formulas Integration by Parts Trigonometric Integrals Trigonometric Substitution Improper Integrals

a) b) c) d) e) X)

Differential Equations a) Definitions and Basic Concepts b) Separation of Variables in First-Order Equations

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