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PALOMAR COLLEGE
 COURSE OUTLINE FOR CREDIT COURSE
 
  • Courses numbered 1 - 49 are remedial or college preparatory courses which do not apply toward an A. A. Degree and are not intended for transfer.
  • Courses numbered 50-99 apply toward an AA Degree, but are not intended for transfer.
  • Courses numbered 100 and higher apply toward an AA Degree and/or are intended for transfer to a four-year college or university.
 
Course Number and Title: MATH 141 Calculus with Analytic Geometry, Second Course
 

Unit Value: 4  

Lecture Hours Per Week: 4  

Lab Hours Per Week:  

Lecture/Lab Hours Per Week:  

 

Grading Basis: Grade/Pass/No Pass
 
Basic Skills Requirements: Appropriate Language and/or Computational Skills.
 
Requisite(s)
To satisfy a prerequisite, the student must have earned a letter grade of A, B, C or P(Pass) in the prerequisite course, unless otherwise stated.
Prerequisite:
A minimum grade of 'C' in MATH 140
Corequisite:
None
Prerequisite: Completion of, or concurrent enrollment in
None
Recommended Preparation:
None
Limitation on Enrollment:
None
Catalog Description:
Continuation of MATH 140. Topics include definite integrals and their applications; methods of integration (including the use of modern computational technology as appropriate); indeterminate forms; improper integrals; sequences; infinite series; Taylor series; conic sections; polar coordinate; and parametric equations from analytic, graphic, and numeric perspectives.
 
Specific Course Objectives:
Upon successful completion of the course the student will be able to:
  1. Apply critical thinking and quantitative reasoning skills to solving mathematical problems with calculus.
  2. Identify and evaluate limits of indeterminate form.
  3. Identify and evaluate improper integrals.
  4. Model and solve application problems with definite integrals.
  5. Evaluate integrals using a variety of techniques of integration.
  6. Analyze sequences and infinite series with analytic, geometric, and numeric methods.
  7. Represent elementary functions with appropriate power series.
  8. Construct and analyze multiple representations of conic sections.
  9. Represent functions in the polar coordinate system using analytic, geometric, and numeric perspectives.
  10. Construct, graph, and use parametric equations.
 
Methods of Instruction:
Methods of Instruction may include, but are not limited to, the following:
  1. Lecture
 
Content in Terms of Specific Body of Knowledge:
  1. Applications of integration such as area, volume, work, fluid pressure and fluid force, center of mass, arc length and surfaces of revolution.
  2. Techniques of integration: integration by parts, trigonometric substitution, integration using partial fractions, indeterminate forms and L¿Hopital¿s Rule, improper integrals.
  3. Infinite sequences; infinite series; tests for convergence (integral test, comparison tests, ratio and root tests, and alternating series test); representation of functions by power series, including Taylor series and Maclaurin series with error estimates.
  4. Conics: parabolas, ellipses, hyperbolas, rotation of axis and the general second-degree equation.
  5. Plane curves and parametric equations: characteristics, graphing, parametric form of derivative, arc length, and definite integral.
  6. Polar coordinates: graphing, equivalent expressions in cartesian coordinates and polar coordinates, integration and differentiation of polar curves.
  7. Additional topics may be included at instructor¿s discretion.

Textbooks/Resources:
May Include Textbooks, Manuals, Periodicals, Software, and Other Resources
  1. Stewart, James. Single Variable Calculus with Early Transcendentals. 4th edition. Pacific Grove: Brooks/Cole, 1999. or
  2. Larson, Hostetler and Edwards. Calculus of a Single Variable. 7th edition. Boston: Houghton Mifflin, 2002. or
  3. Anton, Howard. Calculus - A New Horizon. 6th edition. New York: John Wiley & Sons, Inc., 1999.
Required Reading:
 
Suggested Reading:
 
Critical Thinking:
 
Required Writing:
Problem-solving exercises on homework assignments and written tests are more appropriate. In addition, students may be required to write reports from one paragraph to several pages explaining concepts or explaining and interpreting solutions to non-routine or applied problems.
 
Outside Assignments:
Students are expected to spend a minimum of three hours per unit per week in class and on outside assignments, prorated for short-term classes.
Methods of Assessment:
Methods of Assessment may include, but are not limited to, the following:
  • Class Work
  • Exams/Tests
  • Homework
  • Lab Activities
  • Papers
 
Open Entry/Open Exit:
No, course is not offered as open entry/open exit.
 
Is Course Repeatable for Reason(s) Other Than Deficient Grade? No
 
Contact Person: Robert N Jones