Mathematics Attendance & Grading Policy—Math 2237 Multivariable and
Vector Calculus
Mr. Dee
Office: E-219
email: stdee2@rochester.k12.mn.us
Supplies:
Notebook
Pencil
Calculator
Textbook (covered)
Expectations:
Be respectful: You are expected to be respectful of your peers, your teacher, and the building.
Be responsible: You are expected to take responsibility for your learning by participating in
class, asking for help when you need it, making up missed work, keeping track of deadlines, and
completing all assignments.
Be prepared: You are expected to complete all homework before class, be in class on time, and
bring your supplies.
You will be required to pay for any books issued to you that are not returned in good condition.
You will not receive a final grade for the course until book responsibilities are met.
Attendance:
Students are to be in their seats when the bell rings. Anything else is considered tardy.
As stated in the school policy, 3 unexcused tardies are equal to one unexcused absence.
Unexcused absences (3 tardies) will result in a 5% reduction in the quarter grade not to exceed
20% of the grade. Unexcused absences and tardies may also result in Tuesday/Thursday school
(detention) and/or truancy petition.
Work missed during unexcused absences must be completed. However, credit will not be
given.
You are expected to ask for make-up work in advance for pre-excused absences such as field
trips, sports, and vacations.
All tests and classroom assignments must be made up within two (2) school days for each day
of an excused absence (such as an illness or doctor's appointment).
If we all work together, we can succeed together!
I have received, read, and understand Mr. Dee's grading and attendance policy.
______________________________
____________________________
________
Student signature
Print student name
Date
Grading policy:
Your grade in this course will be calculated based on the total points you earn.
Daily assignments and notebooks: Notebooks and all daily assignments will be graded for work
shown, accuracy, and completeness. Late work will not receive full credit. If not completed in a
timely manner, no credit will be given.
Quizzes: You will be given periodic quizzes to check for understanding. Quizzes may or may not
be announced.
Tests: You will be tested on each chapter/unit. The tests will be based on correct work shown
as well as the correct answer. A cumulative final exam will be given. As stated in district policy,
it will count for no more than 20% of the semester grade.
Grading scale:
A
90%-100%
B
80%-89%
C
70%-79%
D
60%-69%
F
Below 60%
No extra credit will be given (unless otherwise announced).
COMMON COURSE OUTLINE: Course discipline/number/title: MATH 2237: Multivariable
and Vector Calculus
A. CATALOG DESCRIPTION
1. Credits: 5
2. Hours/Week: 5
3. Prerequisites (Course discipline/number): MATH 1128 Calculus II, College Level Reading
4. Co-requisites (Course discipline/number): None
5. MnTC Goals (if any): NA
This course is first in a sequence which is a continuation of the first year of calculus. Topics are selected from the
following: coordinate and vector geometry, vector valued functions, velocity-acceleration and curvature, cylindrical
and
spherical coordinate systems, partial differentiation and applications, double and triple integrals, Green’s-Stoke’s
Divergence
Theorems, Frenet Formulas.
B. DATE LAST REVISED (Month, year): January, 2011
C. OUTLINE OF MAJOR CONTENT AREAS:
1. Three Dimensional Coordinate systems and Graphs of Multivariable Function
2. Vectors, scalar products, vector products, and their analysis
3. Vector Valued functions and their applications to Applied Mathematics
4. Limits, derivatives, and optimizations of functions of several variables
5. Double and Triple Integrals of functions of several variables
6. Cylindrical and Spherical Coordinate systems and their applications to Multivariate Calculus
7. Vector Fields, Line Integrals, and Surface Integrals and their applications to Applied Mathematics
8. Divergence, Curl, Green’s Theorems, Stokes’s Theorem, and the Divergence Theorem
D. LEARNING OUTCOMES (GENERAL): The student will be able to:
1. Demonstrate an understanding of three dimensional coordinate systems and graphs.
2. Calculate equations for planes, lines, spheres, and other geometric objects in three space.
3. Compute tangent vectors, normal vectors, and binormal vectors to a vector valued function.
4. Analyze problems involving velocities, accelerations, speeds, and positions with vector valued functions by means
of
differential and integral calculus.
5. Set up and compute limits of multivariable functions and relate how these limits are the basis of differential calculus
in
several variables.
6. Compute directional derivates and gradients of multivariable functions and interpret their significance.
7. Calculate partial derivates of functions as well as use the partials in theorems such as the chain rule.
8. Optimization of use of the first and second partials tests or Lagrangians.
9. Set up and evaluate Double Integrals over rectangular and general regions in the plane.
10. Implement and calculate Triple integrals in rectangular, cylindrical, and spherical coordinate systems.
11. Compute the Jacobian of a change of variables and implement the changes in Multiple Integrals.
12. Sketch vector fields from equations and interpret the information they convey.
13. Recall formulas for the Curl and Divergence of a vector field as well as convey their physical interpretations.
14. Set up and evaluate path integrals using the fundamental theorem of line integrals or Greene’s theorem.
15. Model parametric surfaces in space and evaluate surface integrals.
16. Recall, compute, and discuss the interpretation and significance of Stokes’s Theorem and the Divergence
Theorem.
17. Model and solve physical problems such as Work, Flux, Gravitation, Flux Flow, Statics, and Mechanics.
E. LEARNING OUTCOMES (MNTC): NA
F. METHODS FOR EVALUATION OF STUDENT LEARNING:
1. Homework
2. Quizzes
3. Group Projects
4. Exams
5. Comprehensive Final Exam
G. RCTC CORE OUTCOME(S) ADDRESSED:
Communication Civic Responsibility
Critical Thinking Personal/Professional Accountability
Global Awareness/Diversity Aesthetic Response
H. SPECIAL INFORMATION (if any):
A graphing Calculator is required
Recommended entry skills/knowledge-Above average competency in differentiation and integration calculus skills of
understanding basic proofs, ability to work with transcendental functions, trigonometric and hyperbolic functions
involving
derivatives, integrals and applications, L’Hopital’s Rule, Improper Integrals, Infinite Series, Taylor Polynomials and
Series,
Polar Coordinate Systems and Parametric Equations are assumed