CALC14998
Applied Calculus
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  I: Administrative Information   II: Course Details   III: Topical Outline(s)  Printable Version
 
Section I: Administrative Information
  Total hours: 42.0
Credit Value: 3.0
Credit Value Notes: N/A
Effective: Winter 2007
Prerequisites: (MATH15910)
Corequisites: N/A
Equivalents:
N/A
Pre/Co/Equiv Notes: N/A

Program(s): Architectural Technician, Architectural Technology
Program Coordinator(s): Ken Snell
Course Leader or Contact: Elizabeth Demarsh
Version:
3.0
Status: Approved - Under Rev (AREV)

Section I Notes: The course runs in a mobile computing format.

 
 
Section II: Course Details

Detailed Description
This introductory calculus course relates directly to the requirements for the architectural designation. Beginning with a review of functions, the student will study differential and integral calculus. Tangents, limits and rules of differentiation for polynomial and trigonometric equations will be studied. The rules of antiderivatives will be studied. Emphasis will be placed on the application of derivatives to problems such as related rates, optimization, understanding curves and marginal costs. Applications of integration will include the area under a curve such as a shear stress diagram.

Program Context

 
Architectural Technician Program Coordinator: Ken Snell
See Architectural Technology

Architectural Technology Program Coordinator: Ken Snell
Applied Calculus is taken in the second term of the Architectural Technology program and follows pre- calculus taken in the first term of the Architectural courses.


Course Critical Performance and Learning Outcomes

 
 Critical Performance:

By the end of this course, students will have demonstrated the 
ability to use the rules of differentiation and integration and apply 
these skills in the application of technical problems.

Learning Outcomes:

To achieve the critical performance, students will have demonstrated 
the ability to:

 1. Choose, formulate and analyze mathematical models algebraically, 
numerically or graphically to solve non-linear mathematical problems 
of applications specific to the architectural technologist.
 2. Calculate the derivative of a polynomial function from the first 
principles of calculus.
 3.  Differentiate polynomial and trigonometric functions including 
using the product and quotient rule and the chain rule.
 4.  Interpret first order and higher order derivatives.
 5.  Apply curve sketching to the context of derivatives.
 6.  Use graphing programs to understand functions and their 
derivatives.
 7.  Solve problems of instanteous change.
 8.  Solve applied maximum and minimum problems.
 9.  Solve applied marginal cost problems.
10.  Find antiderivatives and indefinite integrals.
11.  Evaluate or approximate definite integrals of algebraic and 
trigonometric functions.
12.  Solve applied problems of the definite integral such as the area 
under a curve, volume and centroids.

Evaluation Plan
Students demonstrate their learning in the following ways:

 
Assignments/Quizzes (3-5)     30%
Skills Tests (2@10%)          20%
Midterm Test                  25%
Concept Test                  25%

Course Evaluation Practices for Architectural Students:

Please note that the professors teaching this course agree to the 
following practices.  We want to encourage behaviors that will help 
students be successful in the workplace, and to ensure that students 
receive credit for their individual work.

1. For submission of assignments and projects, the professor will 
specify, in writing:

a) due dates and special instructions for submissions
b) deductions for overdue assignments

2. All assignments must be completed as individual efforts unless the 
professor states otherwise in writing.

3. Tests and examinations must be written as scheduled by the 
professor.  A makeup test will only be provided to students who have 
an acceptable explanation for their absence or students who provide 
acceptable documentation, such as a medical certificate, explaining 
their absence.  These special situations must be arranged as soon as 
possible with the professor.  There may be limitations on timing for 
makeup tests.

4. A student must average at least 50% on the activities within each 
major evaluation component combined in order to receive credit for 
this course.  (e.g. If the major evaluation component "A. Ongoing 
Evaluation Activities" consists of 5 in-class exercises and 3 
assignments, then the average of all exercises and assignments 
combined, must be at least 50%)

N.B.  Steps to appeal grades and evaluations are found in the Student 
Handbook.
Provincial Context
The course meets the following Ministry of Training, Colleges and Universities requirements:

 

Essential Employability Skills
Essential Employability Skills emphasized in the course:

  Communication X Critical Thinking & Problem Solving   Interpersonal
X Numeracy   Information Management   Personal

Notes: N/A

Prior Learning Assessment and Recognition
PLAR Contact (if course is PLAR-eligible) : Office of the Registrar

Students may apply to receive credit by demonstrating achievement of the course learning outcomes through previous relevant work/life experience, service, self-study and training on the job. This course is eligible for challenge through the following method(s):

Challenge Exam Portfolio Interview Other Not Eligible for PLAR
X        

Notes:  N/A

 
 
Section III: Topical Outline
Some details of this outline may change as a result of circumstances such as weather cancellations, College and student activities, and class timetabling.
Effective term: Winter 2007
Professor: Tba
Textbook(s):
Required Text:

Technical Mathematics with Calculus; Calter & Calter; Wiley

Applicable student group(s): Architectural Technology/Technician students
Course Details:
The following topical outline indicates only the material to be 
covered with some topics having more emphasis than others.  The 
scheduling is approximate.  Dates will be posted on WebCT.

Week 1:
Introduction and review of graphs and equations of linear, quadratic, 
polynomial and trigonometric functions, giving special consideration 
to rate of change and slope.
Assignment #1 - Use words such as constant, positive, negative, zero 
to describe the slopes of the given curves.

Week 2:
Slope of tangent lines, continuity and limits

Week 3:
Concept of the derivative.  Formulae for sums and powers.  
Differentiating algebraic functions
Assignment #2: Find the derivative of a simple algebraic function 
using first principles.

Week 4:
The derivative:  Product and Quotient Rule

Week 5:
The Derivative of trigonometric functions
The Chain Rule

Week 6:
Higher Order Deriviatives and Curve Sketching

Week 7:
Review and Midterm test

Week 8 & 9:
Applications of Derivatives:
  Instanteous Rate of change
  Marginal cost
  Optimization

Week 10:
Applications of Derivatives
Curve Sketching

Week 11:
Integration:
  Integration to the integral
  The indefinite integral

Week 12 & 13:

The definite integral
Area under a curve using integrals
Finding volumes
Centroids

Week 14:
Review
Concept Test


Sheridan Policies

All Sheridan policies can be viewed on the Sheridan policy website.

Academic Integrity: The principle of academic integrity requires that all work submitted for evaluation and course credit be the original, unassisted work of the student. Cheating or plagiarism including borrowing, copying, purchasing or collaborating on work, except for group projects arranged and approved by the professor, or otherwise submitting work that is not the student's own, violates this principle and will not be tolerated. Students who have any questions regarding whether or not specific circumstances involve a breach of academic integrity are advised to review the Academic Integrity Policy and procedure and/or discuss them with the professor.

Copyright: A majority of the course lectures and materials provided in class and posted in SLATE are protected by copyright. Use of these materials must comply with the Acceptable Use Policy, Use of Copyright Protected Work Policy and Student Code of Conduct. Students may use, copy and share these materials for learning and/or research purposes provided that the use complies with fair dealing or an exception in the Copyright Act. Permission from the rights holder would be necessary otherwise. Please note that it is prohibited to reproduce and/or post a work that is not your own on third-party commercial websites including but not limited to Course Hero or OneNote. It is also prohibited to reproduce and/or post a work that is not your own or your own work with the intent to assist others in cheating on third-party commercial websites including but not limited to Course Hero or OneNote.

Intellectual Property: Sheridan's Intellectual Property Policy generally applies such that students own their own work. Please be advised that students working with external research and/or industry collaborators may be asked to sign agreements that waive or modify their IP rights. Please refer to Sheridan's IP Policy and Procedure.

Respectful Behaviour: Sheridan is committed to provide a learning environment that supports academic achievement by respecting the dignity, self-esteem and fair treatment of every person engaged in the learning process. Behaviour which is inconsistent with this principle will not be tolerated. Details of Sheridan's policy on Harassment and Discrimination, Academic Integrity and other academic policies are available on the Sheridan policy website.

Accessible Learning: Accessible Learning coordinates academic accommodations for students with disabilities. For more information or to register, please see the Accessible Learning website (Statement added September 2016)

Course Outline Changes: The information contained in this Course Outline including but not limited to faculty and program information and course description is subject to change without notice. Any changes to course curriculum and/or assessment shall adhere to approved Sheridan protocol. Nothing in this Course Outline should be viewed as a representation, offer and/or warranty. Students are responsible for reading the Important Notice and Disclaimer which applies to Programs and Courses.


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