AMT453 - Advanced Mathematics

Outline information
Semester
Schools offering this subject
Last revision date 2019-03-18 09:32:34.036
Last review date 2019-03-18 09:33:46.982

Subject Title
Advanced Mathematics

Subject Description
This course draws on the concepts introduced in preceding math courses, applying them to establishing a mathematical understanding of advanced communication and control principles. A sound background in integration techniques and simple differential equations is provided. Key topics in the course include the application of Fourier series to the spectral analysis of signals, and of Laplace transforms to the concepts of feedback and control.

Credit Status
One subject credit in Electronics Engineering Technology programs.

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

1. Obtain integrals of a wide variety of functions using tables
2. Calculate selected types of integrals using:Simple substitution, trigonometric substitution, power rule for integrals, integration by parts, and partial fractions.
3. Calculate RMS values of key functions in electronics, such as sin, cos, sawtooth, square
4. Calculate MEAN values for a variety of commonly used functions, such as full-wave rectified sin, half - wave recitified sin, sawtooth, square
5. Solve first order differential equations with: separable variables and integreable combinations
6. Calculate Laplace Transforms of simple functions, such as f(t)=1, t, t2, sinat, cosat
7. Obtain forward and inverse Laplace Transforms using tables
8. Solve differential equations using Laplace transform, solve transient events in simple DC and AC circuits
9. Calculate coefficients of harmonic terms of Fourier series, calculate power components of a harmonic signal.

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.

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.