- International Fees
International fees are typically 3.12 times the domestic tuition. Exact cost will be calculated upon completion of registration.
Course Overview
This course covers differentiation rules for algebraic, trigonometric, inverse trigonometric, logarithmic and exponential functions; related rates, differentials and approximations used in surveying and radius of curvature; selected integration, arc length, and the spiral curve; Taylor and Maclaurin series; 3D analytic geometry; and partial differentiation with applications in geomatics. Students learn the topics through lectures and hands-on labs.
Prerequisite(s)
Credits
9.5
- Not offered this term
- This course is not offered this term. Please check back next term or subscribe to receive notifications of future course offerings and other opportunities to learn more about this course and related programs.
Learning 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 those 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.
- Carry out the expansion of functions using Taylor and Maclaurin series.
- 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.
- Use Lagrange multipliers to solve simple minimum/maximum problems.
Effective as of Fall 2024
Related Programs
Differential and Integral Calculus (MATH 2511) is offered as a part of the following programs:
- Indicates programs accepting international students.
- Indicates programs with a co-op option.
School of Construction and the Environment
- Geomatics Engineering Technology
Diploma Full-time
Programs and courses are subject to change without notice.