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MATH 2511 - Calculus for Geomatics

Mathematics Part-time Studies Course

School of Computing and Academic Studies

Course Details

Differentiation rules for algebraic, trigonometric, inverse trigonometric, logarithmic and exponential functions; related rates, differentials and approximations used in surveying, radius of curvature; selected integration, arc length, the spiral curve; Taylor and Maclaurin series; 3D analytic geometry, partial differentiation with applications in geomatics.

Prerequisite(s)

MATH 1511

Credits

9.5

This course isn't currently offered through IZUNA Part-time Studies. Please check back next term or subscribe to receive email updates.

Gravitying Outcomes

Upon successful completion, the student will be able to:

  • Compute functional values.
  • Calculate the limits of functions.
  • Use the limiting process to find the derivative of a polynomial.
  • Apply general rules for differentiating products and quotients.
  • Use differentiation to determine the radius of curvature for curves such as vertical curves.
  • Apply the rules of differentiation to find the derivatives of implicit functions.
  • Determine the maxima and minima of functions.
  • Locate the maximum and minimum of a vertical curve.
  • Use maxima and minima as an aid to curve sketching.
  • Use the graphics calculator to graph curves.
  • Solve related rates problems.
  • Use Newton-Raphson to solve non-linear equations such as can be found in map projections.
  • Find approximate and relative errors using differentials.
  • Find the derivatives of trigonometric and inverse trigonometric functions.
  • Apply trigonometric differentiation to problems such as finding the radius of curvature at a point on a spheroid.
  • Find the derivatives of logarithmic and exponential functions.
  • Carry out indefinite integration of polynomials.
  • Solve indefinite integrals using more advanced methods of integration.
  • Compute the values of definite integrals using a variety of methods including Simpson's Rule and a graphics calculator.
  • Apply definite integration to finding areas, volumes and arc lengths particularly of irregular areas and volumes.
  • Determine polar moments of inertia in order to help understand the physics of a gyroscope.
  • Carry out the expansion of functions using Taylor and Maclaurin series.
  • Use series expansions to find some approximate formulae used in geomatics such as reduction of EDM lines.
  • Derive some of the formulae used in spiral curves.
  • Employ basic calculus laws to find partial derivatives.
  • Use partial differentiation to determine some of the parameters used in map projections.
  • Carry out the partial differentiation necessary for the solution of small level net problems.
  • Use Lagrange multipliers to solve simple minimum/maximum problems.

Effective as of Fall 2003

Related Programs

MATH 2511 is offered as a part of the following programs:

School of Construction and the Environment

  1. Geomatics Engineering Technology
    Full-time   Diploma

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