Textbooks can be purchased though the MBS bookstore
Course Description: The algebra and calculus of vectors and vector functions, constant termed sequences and series, power series and convergence criteria. Pre-requisite: MA211. 3:0:3
Educational Philosophy: The facilitator's educational philosophy is one of interactiveness based on lectures, readings, quizzes, dialogues, examinations, internet, videos, web sites and writings. The facilitator will engage each learner in what is referred to as disputatious learning to encourage the lively exploration of ideas, issues and contradictions.
Learning Outcomes:COURSE OBJECTIVES: Upon completion of the course, the student should understand and be able to apply the following mathematical concepts:
• Component Form of Vector, Vector Operations, Unit Vectors, Applications of Vectors
• Coordinates in Space, Vectors in Space, Application of Vectors in Space, Inner Product
• Orthogonal Vectors, Projections, Outer Product, Triple Scalar Product
• Lines and Planes in Space, Distance between Points, Lines, and Planes
• Cylindrical Surfaces, Surfaces of Revolution, Cylindrical Coordinates, Spherical Coordinates
• Space Curves and Vector-Valued Functions, Differentiation of Vector-Valued Functions
• Velocity and Acceleration, Projectile Motion, Tangent and Normal Vectors
• Arc Length, Curvature, Functions of Several Variables, Level Curves and Surfaces,
• Neighborhoods in the Plane, Limit and Continuity of Two and Three Variable Functions,
• Partial Derivatives, Higher Order Derivatives, Differentials, Approximation by Differentials,
• Chain Rule for Multiple Variable Functions, Implicit Partial Differentiation, Directional Derivative
• Gradient of Two Variable Function, Absolute Extrema of Functions of Two Variables
• Second Partial Test, Applied Optimization, Lagrange Multipliers, Constrained Optimization
• Iterated Integrals, Area of Plane, Double Integrals and Volume, Properties of Double Integrals
• Double Integrals in Polar Coordinates, Center of Mass and Moment of Inertia
• Double Integrals and Surface Area, Triple Integrals, Triple Integrals in Cylindrical and Spherical Coordinates
• Change of Variables, Jacobians
Course Assessment: COURSE ASSESSMENT:
- Final Examination
Grading: GRADING PLAN:
Three Tests 20% of final grade each
Homework Notebook 15% of final grade
Final Examination 25% of final grade
Homework should be done and maintained in a notebook along with note and other work. The notebook will be presented during the final examination for evaluation.
Late Submission of Course Materials: Assignments should be turned in on the specified due date.
Classroom Rules of Conduct: Students are expected to participate fully in class learning activities. Phones and beepers are to be placed on “vibrate” or turned off. Students are required to exercise courteous behavior between themselves and with the instructor.
Course Topic/Dates/Assignments: Week Date Topic(s) Chapter(s)
1 10/25,27 Vectors in the Plane, Space Coordinates, Vector Products 10
2 11/1,3 Distances in Space, Cylindrical and Spherical Coordinates, Vector Valued Functions 10-11
3 11/8,10 TEST 1, Differentiation and Integration of Vector Valued Functions 11
4 11/15,17 Velocity and Acceleration, Tangential and Normal Vectors, Functions of Several Variables 11-12
5 11/22,24 Differentials and Chain Rule of Functions of Several Variables, Directional Derivatives and Gradients 12
6 11/29-12/1 Extrema of Functions of Two Variables, Lagrange Multipliers, Test 2 12
7 12/6,8 Iterated Integrals, Double Integrals, Polar Coordinates, Center of Mass and Moments of Inertia 13
8 12/13,15 Surface Area, Triple Integrals, Jacobians, FINAL 13
Academic Honesty:Academic integrity is the foundation of the academic community. Because each student has the primary responsibility for being academically honest, students are advised to read and understand all sections of this policy relating to standards of conduct and academic life.
Park University 2004-2005 Undergradute Catalog Page 101
Plagiarism:Plagiarism involves the use of quotations without quotation marks, the use of quotations without indication of the source, the use of another's idea without acknowledging the source, the submission of a paper, laboratory report, project, or class assignment (any portion of such) prepared by another person, or incorrect paraphrasing.
Park University 2004-2005 Undergraduate Catalog Page 101
Attendance Policy:Instructors are required to maintain attendance records and
to report absences via the online attendance reporting system.
Park University 2004-2005 Undergradute
Catalog Page 100
Disability Guidelines:Park University is committed to meeting the needs of all students that meet the criteria for special assistance. These guidelines are designed to supply directions to students concerning the information necessary to accomplish this goal. It is Park University's policy to comply fully with federal and state law, including Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, regarding students with disabilities. In the case of any inconsistency between these guidelines and federal and/or state law, the provisions of the law will apply. Park University is committed to meeting the needs of all learners that meet the criteria for special assistance. These guidelines are designed to supply directions to learners concerning the information necessary to accomplish this goal. It is Park University's policy to comply fully with federal and state law, including Section 504 of the Rehabilitation Act of 1973 and the American with Disabilities Act of 1990, regarding learners with disabilities and, to the extent of any inconsistency between these guidelines and federal and/or state law, the provisions of the law will apply. Additional information concerning Park University's policies and procedures related to disability can be found on the Park University web page: http://www.park.edu/disability .
Copyright:This material is copyright and can not be reused without author permission.