COURSE INFO (Fall 2009)

Course Description:  Topics will include systems of linear equations, matrix algebra, vectors in 2-and 3-space.  Functions of several variables, partial derivatives.  Vector-valued functions, space curves, arc length, curvature.  Multiple and iterated integrals in rectangular, cylindrical, and spherical coordinates.  Scalar and vector fields, line integrals, calculus of vector functions.  (4.5h lecture)
 

University Calculus, by Hass, Weir, and Thomas

COURSE OUTLINE

Topics to be covered include:

• Graphs of functions of two and three variables.  Countours and slices.
• Linear Functions
• Limits and Continuity
• Vector Algebra and Geometry
  • Dot product and angles
  • Length of a vector
  • Cross Product
• Equation of a plan and "slopes" in the ¡em¿ x¡/em¿  and ¡em¿ y  ¡/em¿ directions.
• Partial Derivatives.
• The tangent plane and linear approximations.
• The gradient and directional derivatives.
  • The gradient points in the direction of greatest increase in the function
  • The gradient vector is perpendicular to the level curves.
• The Chain Rule
• Higher order derivatives and the equality of mixed partials.
• Quadratic approximations
• Local max and min. critical points.
• The second derivative test and the classification of critical pints.
• Unconstrained optimization.
• Constrained optimization and Lagrange Multipliers.
• Double and triple integrals.
• Double integrals in polar coordinates.
• Triple integrals in cylindrical and spherical coordinates.
• General substitution in multiple integrals and Jacobian determinant.
• Parameterized curves.
• Position vector, velocity and acceleration vectors.
• Parameterized surfaces.

Software:  Maple is available on the Network.  This may be used for the completion of some assignments.  Tests and exams will not involve Maple and your laptop computers will not be permitted in tests and exams.  Calculators are permitted in all tests and exams.

Assignments: There will be weekly assignments, given on Thursday and due the following Thursday AT THE START OF CLASS.  Late assignments will generally not be accepted.

Quizzes:  There will be a weekly quiz.

Tests: There will be two tests -  dates to be announced in class.

Final Examination:  There will be a 3-hour final examination during the examination period.  The date for the examination will be announced during the term.  DO NOT MAKE ANY TRAVEL ARRANGEMENTS UNTIL THE DATE IS FINALIZED because the regular examination will be be given at an alternate time. 

Grading Scheme:  You will receive the grade that gives you the higher of the two marks calculated as follows:

General Comments: It is your responsibility to be aware of course requirements and deadlines, and to be present for tests and exams. It is a courtesy to your instructor to advise him or her when you must be absent from lectures. Missing tests or assignment deadlines because of illness or personal emergencies should be documented by signed excuses from physicians or counselors.

You are encouraged to work together on the homework, but you are expected to turn in your own assignments.  Submitting someone else’s work as your own, copying on tests, and other forms of cheating will be dealt with under the clause concerning Academic Integrity in the Acadia Calendar.

If you are a student with a documented disability who anticipates needing accommodations in this course, please inform me after you meet with Jill or Suzanne in Disability/Access Services, in the Student Resource Centre, lower floor of the old SUB,   jill.davies@acadiau.ca 585-1127 or suzanne.robicheau@acadiau.ca  585-1913.

PREREQUISITES

Math 1023.

ANTIREQUISITE

Credit can be obtained for only one of Math 2013 and 2753.

Disclaimer:  While the preceding information was prepared with care, Acadia University and the instructors accept no responsibility for actions caused by misinformation or misinterpretation.

 
 Page last updated September 2008