MATH 262: Intermediate Calculus

Fall 2005


Course web page: http://www.math.mcgill.ca/labute/courses/262f05/
Instructors:
  • J. Labute (course coordinator), Lectures MWF 9:35-10:25, ENGMD 280
    Office: BH1112, Office Hours: MW 10:30-11:30, MW 14:30-15:30
    Tel: 398-3819
    E-mail: labute@math.mcgill.ca
    Web Page: www.math.mcgill.ca/labute
  • J-J. Xu, Lectures MWF 9:35-10:25, RPHYS 112
    Office: BH1247, Office Hours: WF 10:30-11:30
    Tel: 398-3849
    E-mail: xu@math.mcgill.ca
    Web Page: www.math.mcgill.ca/xu
  • D. Serbin, Lectures MWF 9:35-10:25, ENGMD 276
    Office: BH1242, Office Hours: WF 10:30-11:30
    Tel: 398-3853
    E-mail: serbin@math.mcgill.ca
    Web Page: www.math.mcgill.ca/~serbin
    • Tutorials and Undergraduate Student Assistants
  • Monday, 12:35-13:25, ENGMC 210, Andrew Di Battista (Helpdesk: W 1:30-3:00)
  • Monday, 14:35-15:25, ENGMC 210, Amit Monga (Helpdesk: M 4:30-5:30)
  • Wednesday, 12:35-13:25, ENGMD 279, Gaurav Gupta (Helpdesk: F 3:00-5:00)
  • Wednesday, 12:35-13:25, ENGMC 210, Andrew Di Battista
  • Wednesday, 13:35-14:25, ENGMD 280, Amit Monga
    • Prerequisites: Math 133 and Math 141.
    Text: Calculus: A Complete Course (5th ed.) by Robert Adams
    Syllabus: Chapters 9,10.1-10.4,11,12,13.1-13.4 of the Text. The following topics will be covered:
  • Series and power series. Series: geometric and p-series; integral test, comparison, ratio tests and root tests for absolute convergence; alternating series test. Power series: operations on series, Taylor's theorem with remainder, Taylor and Maclaurin series for elementary functions, binomial theorem and series. Series solutions to ODEs at ordinary points.
  • Vector geometry. Lines, planes, dot and cross products.
  • Vector functions and curves. Differentiation of vector-valued functions. Curves and parametrization, arclength. Tangent, normal and binormal vectors and Frenet formulas. Tangent and Normal accelerations. Kepler's laws (if time permits).
  • Partial differentiation and differential calculus for vector-valued functions. Functions of several variables: visualisation, limits and continuity. Partial derivatives of 1st and higher order, tangent planes and normal lines, wave and Laplace equation. Linear approximation, differentiability, functions from n-space to m-space with Jacobian matrices. Gradients and directional derivatives. Implicit and inverse functions, Taylor polynomials and series in several variables.
  • Unconstrained and constrained extremal problems. Critical points and their classification. Extreme values on restricted domains. Method of Lagrange multipliers with one or more constraints.
    • WeBWorK assignments: These assignments will be available on the Web and will be answered on the Web. The WebWorK assignments will be posted at http://msr05.math.mcgill.ca/webwork/m262f05/. The initial login/password is your 9 digit student number. Please CHANGE your password the first time you log in. There are eight assignments and seven best will count for the grade. Missed assignments cannot be redone. The WeBWorK assignments are worth 16% of your grade. The additional information about WeBWorK assignments is available at http://www.math.mcgill.ca/labute/webwork.html. If you experience technical problems with WeBWorK please contact the administrator at wwadmin@math.mcgill.ca.
    Written assignments: There will be 3 written assignments posted on this web page (in ps and pdf format). These assignments will contain exam type questions. Your solutions should be written in a clear, complete and logical way -- you must convince the marker that your solutions are correct. The assignments will be collected and returned in the class. After the due date the solutions will be posted on this web page. Missed assignments cannot be redone.
    HELPDESK A free tutorial service for students in mathematics courses.
    Final: There will be a three hour final exam.
    Grading:
  • The Assignment mark (worth 20% of the final grade) will consist of your mark for Webwork (16%) and your mark for written assignments (4%).
  • Your final mark will be 20% Assignments + 80% Final.
    • There is no provision for doing additional work to upgrade the final mark.
    WebCT: Your scores on assignments, midterm, final, and your final mark will be posted on WebCT
    NOTICE: McGill University values academic integrity. Therefore, all students must understand the meaning and consequences of cheating, plagiarism and other academic offences under the Code of Student Conduct and Disciplinary Procedures (see McGill web page on Academic Integrity for more information).
    September 8, 2005