DAWSON COLLEGE

MATHEMATICS DEPARTMENT

CALCULUS for ELECTROTECH (SCIENCE)

201-NYA-DW

 

Ponderation: (3-2-3)

These numbers refer to the minimum amount of time that you are expected to invest in this course, per week. The first number refers to lectures; the second, to “labs”, which in the math department generally mean another lecture. The third number refers to study time and homework assignments.

 

Prerequisite:

Registration in the Electrotechnology program; Math 201-171-92 or Math 201-943-DW

 

Objectives & Standards: 

This course is designed, in consultation with the Electronics Engineering Technology Department. The course consists of an introduction to single-variable calculus.  

 

Text:     

The required text is Basic Technical Mathematics with Calculus, 9th Edition by A.J. Washington. 

(Note that the 8th edition is also acceptable however references to textbook pages might vary.)

 

Methodology:   Lectures and problem sessions.

 

Term work:        

The term grade is based on a minimum of 4˝ hours of tests/quizzes.  A minimum of 3 class tests will be given. See the teacher’s supplement to the outline for the precise description of term work (this term work can vary from course section to course section)          

 

Final Examination: 

The Final Examination will be a supervised, comprehensive examination held during the formal examination period. 

                                       

Grading Policy:

A student’s grade shall consist of:

 

Term work for 50%

Final Exam for 50%

                                  

Calculators:       

A scientific calculator, which has no text storage or graphing capabilities, is allowed for class tests and the final exam.  It is strongly recommended that your calculator has complex number and calculus capabilities.

 

 

 

 

 

 

 

 

 

Policy on Cheating and Plagiarism

 

Cheating in Examinations, Tests, and Quizzes

Cheating includes any dishonest or deceptive practice relative to formal final examinations, in-class tests, or quizzes. Such cheating is discoverable during or after the exercise in the evaluation process by the instructor. Such cheating includes, but is not limited to:

a. copying or attempting to copy another’s work.

b. obtaining or attempting to obtain unauthorized assistance of any kind.

c. providing or attempting to provide unauthorized assistance of any kind.

d. using or possessing any unauthorized material or instruments which can be used as information storage and retrieval devices.

e. taking an examination, test, or quiz for someone else.

f. having someone take an examination, test, or quiz in one’s place.

 

Unauthorized Communication

Unauthorized communication of any kind during an examination, test, or quiz is forbidden and subject to the same penalties as cheating.

 

Cheating and Plagiarism in Course Work

  1. Plagiarism is the presentation or submission by a student of another person’s course work as his or her own. Students who permit their work to be copied are considered to be as guilty as the plagiarizer.
  2. Falsifying lab reports or any facts or sources in any assignment is considered to be cheating.
  3. Preparing an assignment for someone else or having someone else prepare an assignment is considered to be cheating.
  4. The dishonest claim to have submitted work which in fact was never submitted to the instructor is considered to be cheating.
  5. Making false representation which may affect a grade, (e.g. submitting a false medical certificate), is considered to be cheating.

 

Obligation of the Teacher

Every instance of cheating or plagiarism leading to a resolution that impacts on a student’s grade must be reported by the teacher, with explanation, in writing to the Chair of Mathematics and to the Dean of Pre-University Studies. A copy of this report must also be given to the student.

 

Penalties

Cheating and plagiarism are considered extremely serious academic offences. Action in response to an incident of cheating and plagiarism is within the authority of the teacher.

Penalties may range from zero on a test, to failure of the course, to suspension or expulsion from the college.

 

Math Tutorial Room (7B.1): 

Volunteer math teachers are available for help in room 7B.1 from 10:00 am to 4:00 pm, Monday through Friday, and also from 5:00 pm to 6:00 pm, Monday through Thursday.

 

 

 

 

 

 

Religious Holidays:

                               

Students who wish to observe religious holidays must inform each of their teachers in writing within the first two weeks of each semester of their intent to observe the holiday so that alternative arrangements convenient to both the student and the teacher can be made at the earliest opportunity. The written notice must be given even when the exact date of the holiday is not known until later. Students who make such arrangements will not be required to attend classes or take examinations on the designated days, nor be penalized for their absence. It must be emphasized, however, that this College policy should not be interpreted to mean that a student can receive credit for work not performed. It is the student’s responsibility to fulfill the requirements of the alternative arrangement.

 

Literacy Policy:  

Problem solving is an essential component of this course.  Students will be expected to analyze problems stated in words, to present their solutions logically and coherently, and to display their answers in a form corresponding to the statement of the problem, including appropriate units of measurement.  Marks will be deducted for work which is inadequate in these respects, even though the answers may be numerically correct.

 

Formulas:           

No formula sheet will be provided on the final examination.

 

Students’ Obligations:

a.       Students have an obligation to arrive on time and remain for the duration of scheduled classes and activities.

b.      Students have an obligation to write tests and final examinations at the times scheduled by the teacher or the College. Students have an obligation to inform themselves of, and respect, College examination procedures.

c.       Students have an obligation to show respectful behavior and appropriate classroom deportment.  Should a student be disruptive and/or disrespectful, the teacher has the right to exclude the disruptive student from learning activities (classes) and may refer the case to the Director of Student Services under the Student Code of Conduct.

d.      Cellular phones, pagers and musical listening devices have the effect of disturbing the teacher and other students.  All these devices should be turned off. Students who do not observe these rules will be asked to leave the classroom.

e.      Cell phones must also be put away.  Text messaging is not allowed in class.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

COURSE CONTENT 

*(Time listed for each section is approximate)

 

Limits & Their Properties – Chapter 23 (1 week)

23.1 Limits (Finding limits graphically and numerically, Calculating Limits, Continuity and One-sided Limits, Limits Involving Infinity)

               

The Slope & the Derivative – Chapter 23  (1 week)

                23.2 The Slope of a Tangent to a Curve

                23.3 The Derivative    

                23.4 The Derivative as an Instantaneous Rate of Change

               

Rules of Differentiation – Chapter 23  (1.5 weeks)

                23.5 Derivatives of Polynomials

                23.6 Derivatives of Products and Quotients of Functions

                23.7 The Derivative of a Power of a Function (chain rule)

                23.8 Differentiation of Implicit Functions

                23.9 Higher Derivatives

 

Applications of the Derivative – Chapter 24 (2 weeks)

                24.1 Tangents and Normals

                24.2 Newton’s Method for Solving Equations

                24.4 – 24.6 Curve Sketching

                24.7 Applied Maximum and Minimum Problems (Optimization)

               

Differentiation of Transcendental Functions – Chapter 27 (2.5 weeks) 

                27.1 - 27.2 Derivatives of Trigonometric Functions 

                27.3 Derivatives of Inverse Trigonometric Functions

                27.4 Applications

                27.5 – 27.6 Logarithmic and Exponential Functions

                27.7 L’Hospital’s Rule    

 

Anti-differentiation – Chapter 25 (1 week)

                25.1 Anti-derivatives

                25.2 The indefinite Integral

               

Area & Numerical Integration – Chapter 25 (2.5 weeks)

                25.3 The Area Under a Curve

                25.4 The Definite Integral

                25.5 Trapezoidal Rule

                25.6 Simpson’s Rule

 

Applications of Integration – Chapter 26 (2 weeks)

                26.1 Applications of the Indefinite Integral (mechanics, charging and discharging capacitors & inductors)

                26.2 Areas by Integration

                26.6 Other Applications (Work, Force, Average Value of a Function) *Time permitting

 

More Integration – Chapter 28 (1.5 weeks)

                28.1 – 28.3 The General Power Formula, Basic Logarithmic Form, Exponential Form

                28.4 The basic Trigonometric Forms *Time permitting