MTA301 - Introductory Calculus

Outline information
Semester
Schools offering this subject
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.

Academic Integrity
Seneca upholds a learning community that values academic integrity, honesty, fairness, trust, respect, responsibility and courage. These values enhance Seneca's commitment to deliver high-quality education and teaching excellence, while supporting a positive learning environment. Ensure that you are aware of Seneca's Academic Integrity Policy which can be found at: http://www.senecacollege.ca/about/policies/academic-integrity-policy.html Review section 2 of the policy for details regarding approaches to supporting integrity. Section 2.3 and Appendix B of the policy describe various sanctions that can be applied, if there is suspected academic misconduct (e.g., contract cheating, cheating, falsification, impersonation or plagiarism).

Please visit the Academic Integrity website http://open2.senecac.on.ca/sites/academic-integrity/for-students to understand and learn more about how to prepare and submit work so that it supports academic integrity, and to avoid academic misconduct.

Discrimination/Harassment
All students and employees have the right to study and work in an environment that is free from discrimination and/or harassment. Language or activities that defeat this objective violate the College Policy on Discrimination/Harassment and shall not be tolerated. Information and assistance are available from the Student Conduct Office at student.conduct@senecacollege.ca.

Accommodation for Students with Disabilities
The College will provide reasonable accommodation to students with disabilities in order to promote academic success. If you require accommodation, contact the Counselling and Accessibility Services Office at ext. 22900 to initiate the process for documenting, assessing and implementing your individual accommodation needs.