# MTA301 - Introductory Calculus

 Semester Fall - 2020 Summer - 2020 Fall - 2019 Summer - 2019 Fall - 2018 Summer - 2018 Fall - 2017 Summer - 2017 Fall - 2016 Summer - 2016 Fall - 2015 Fall - 2014 Fall - 2013 Summer - 2013 Schools offering this subject Select school School of Environmental and Civil Engineering Technology Last revision date May 25, 2020 1:46:40 AM Last review date Aug 3, 2020 12:15:12 AM

Subject Title
Introductory Calculus

Subject Description
This subject continues the development of mathematical skills important to technology. Areas of study include functions, limits, the fundamental concept of the derivative, rules of differentiation for algebraic and transcendental functions, graphical applications of the derivative, and other applications including maximum/minimum, related rates, rates of change, motion of a point and optimization problems. Engineering applications are stressed.

Credit Status
One subject credit in the Civil Engineering Technology program.

Learning Outcomes
Upon successful completion of this subject the student will be able to:

1. Distinguish between relations and functions and define the range and domain of a function.
2. Identify implicit functions, explicit functions, dependent and independent variables
3. Demonstrate an understanding of mathematics topics by performing operations involving straight lines, trigonometric, logarithmic and exponential functions.
4. Evaluate the limit of a given function algebraically, numerically and graphically.
5. Demonstrate an understanding of the definition of the derivative as it relates to secants and tangents, and to average and instantaneous rates of change.
6. Determine the derivative of a function by first principle.
7. Perform operations using different symbols and notations for the derivative.
8. Perform operations using the rules for differentiation to determine the derivatives of explicit algebraic functions, transcendental functions and implicit functions and higher order derivatives.
9. Apply rules of the derivative to solve graphical application problems including the determination of tangents and normals, maximum, minimum and inflection points, and curve sketching.
10. Apply rules for differentiation to solve practical applications including rates of change, motion of a point, related rates and optimization.

Essential Employability Skills
Execute mathematical operations accurately.

Apply a systematic approach to solve problems.

Use a variety of thinking skills to anticipate and solve problems.

Analyze, evaluate, and apply relevant information from a variety of sources.

Interact with others in groups or teams in ways that contribute to effective working relationships and the achievement of goals.