MTH200 - Mathematics II

Subject Title
Mathematics II

Subject Description
This course, along with mathematics course MTH110 and MTH300 provides the knowledge of calculus required by later engineering courses in the Flight Program.  In MTH200, students first complete the study of the differential calculus begun in MTH110 and then undertake a thorough study of the integral calculus of functions of one variable. All integration methods are studied and integration is applied to solve problems in areas, volumes, centroids and moment of inertia. In addition, the properties and behavior and derivative of logarithmic, exponential, inverse and hyperbolic functions are covered in the course.

Credit Status
One Credit

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

1. Calculate the derivatives of functions containing logarithmic and exponential terms.
2. Define what is meant by the inverse function of a given function and calculate the values of an inverse function and its derivative at a given point.
3. Define ln x, the natural logarithm of a function, and calculate the derivatives and integrals (both definite and indefinite) of a variety of functions containing ln x .
4. Define ex and calculate the derivatives and integrals (both definite and indefinite) of a variety of functions containing ex.
5. Calculate the derivatives and integrals (both definite and indefinite) of functions containing general logarithmic and general exponential functions.
6. Calculate the values of inverse trig functions for given values of the independent variable and calculate the derivatives of functions containing inverse trigonometric functions.
7. Define the hyperbolic functions and the inverse hyperbolic functions and calculate the derivatives of functions containing inverse hyperbolic functions.
8. Find the antiderivative of a number of simple algebraic and trigonometric functions.
9. Write down the definition of the definite integral of a function and calculate the approximate values of definite integrals using Riemann sums.
10. Use the fundamental theorem of the calculus to evaluate the definite integrals of simple functions.
11. Calculate the definite integrals of functions using the substitution rule.
12. Employ definite integrals to calculate quantities such as the areas between two curves, the volumes of solids, centroids and moment o inertia.
13. Employ various methods for evaluating integrals such as integration by parts, trigonometric substitution and partial fractions to calculate the values of definite integrals or find explicit expressions for the functions represented by indefinite integrals.

Essential Employability Skills

    •  Communicate clearly, concisely and correctly in the written, spoken and visual form that fulfils the purpose and meets the needs of the audience.

    •  Respond to written, spoken, or visual messages in a manner that ensures effective communication.

    •  Execute mathematical operations accurately.

    •  Apply a systematic approach to solve problems.

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

    •  Manage the use of time and other resources to complete projects.

    •  Take responsibility for one's own actions, decisions, and consequences.

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.senecapolytechnic.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@senecapolytechnic.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.

Camera Use and Recordings - Synchronous (Live) Classes
Synchronous (live) classes may be delivered in person, in a Flexible Learning space, or online through a Seneca web conferencing platform such as MS Teams or Zoom. Flexible Learning spaces are equipped with cameras, microphones, monitors and speakers that capture and stream instructor and student interactions, providing an in-person experience for students choosing to study online.

Students joining a live class online may be required to have a working camera in order to participate, or for certain activities (e.g. group work, assessments), and high-speed broadband access (e.g. Cable, DSL) is highly recommended. In the event students encounter circumstances that impact their ability to join the platform with their camera on, they should reach out to the professor to discuss. Live classes may be recorded and made available to students to support access to course content and promote student learning and success.

By attending live classes, students are consenting to the collection and use of their personal information for the purposes of administering the class and associated coursework. To learn more about Seneca's privacy practices, visit Privacy Notice.