Course Description

This course is designed to apply and enhance algebra, problem solving, and graphing skills developed in MATH1034. We begin with a complex application (The Hydro Problem) to find we are missing mathematical tools to efficiently solve the problem. We set out to explore limits, continuity, differentiation, and integration and their applications to learn the tools needed to solve problems involving the rate of change of quantities. We revisit The Hydro Problem to apply the concepts explored throughout the course to realize we now have more effective tools than trial and error to calculate a solution to the problem.

Essential Employability Skills

This course contributes to your program by helping you achieve the following Essential Employability Skills:

EES 3 NUMERACY: Execute mathematical operations accurately. (T, P, E)
EES 4 CRITICAL THINKING & PROBLEM SOLVING: Apply a systematic approach to solve problems. (T, P, E)
EES 5 CRITICAL THINKING & PROBLEM SOLVING: Use a variety of thinking skills to anticipate and solve problems. (T, P, E)
EES 10 PERSONAL: Manage the use of time and other resources to complete projects. (P, E)
Assessment Levels —T: Teach P: Practice E: Evaluate C: Culminate 

Optional Vocational Learning Outcomes

This course provides the opportunity for you to achieve the following outcomes.

R101 - General Arts and Science

VLO 3 R101/MTCU 54701 PLO3: Understand and utilize critical thinking processes and problem solving techniques. (T, P, E)
VLO 4 R101/MTCU 54701 PLO4: Examine and evaluate various aspects of our changing society to assist in developing a sense of personal and social responsibility as a citizen in society. (T, P)
VLO 5 R101/MTCU 54701 PLO5: Employ basic vocational, skills drawn from the areas of the Humanities, Social and Behavioural Sciences of Vocational Studies (Business, Technology). (T, P)

R104 - General Arts and Science - One-Year

VLO 3 R104/MTCU 44700 PLO3: Understand and utilize critical thinking processes and problem solving techniques. (T, P, E)
VLO 4 R104/MTCU 44700 PLO4: Examine and evaluate various aspects of our changing society to assist in developing a sense of personal and social responsibility as a citizen in society. (T, P)
VLO 5 R104/MTCU 44700 PLO5: Employ basic vocational, skills drawn from the areas of the Humanities, Social and Behavioural Sciences of Vocational Studies (Business, Technology). (T, P)
Assessment Levels —T: Teach P: Practice E: Evaluate C: Culminate 

Course Learning Outcomes

When you have earned credit for this course, you will have demonstrated the ability to:

1.
Demonstrate Proficiency in Manipulating Algebraic Expressions Manipulate polynomial, rational, radical, and logarithmic expressions involving real numbers. Evaluate, simplify, and manipulate linear and non-linear formulae. Manipulate and make calculations with functions. Evaluate domain, range, and restrictions of functions.
2.
Interpret and Calculate Limits and Continuity within Functions Calculate limits for functions. Distinguish between continuous and discontinuous functions. Determine points of discontinuity of functions.
3.
Articulate the Meaning of, and Demonstrate Proficiency in Calculating Derivatives Discover the meaning of the derivative of a function using limits, then apply differentiation rules to calculate derivatives. Calculate the slope and the equation of a line tangent to a curve at a given point. Calculate the slope and equation of a line normal to a curve at a given point. Calculate the derivative of an implicit function using implicit differentiation. Calculate higher order derivatives of a function.
4.
Solve Applied Problems using Differentiation Find absolute and local maximum and minimum points on a curve. Test whether a point is a local or absolute maximum or minimum point. Find points of inflection on a curve. Graph curves and regions with the aid of the First Derivative Test and the Second Derivative Test. Compute velocity and acceleration. Apply the principles of differential calculus to solve related rate problems and applied maximum-minimum problems.
5.
Demonstrate Proficiency Working with Definite and Indefinite Integrals Calculate indefinite integrals. Use integration by substitution. Verify an integral by differentiating. Solve differential equations. Evaluate the constant of integration, given boundary conditions. Evaluate definite integrals. Apply the Fundamental theorem of Calculus to determine exact areas under curves.

Learning Activities

This course will be delivered via lectures, class demonstrations, and in-class student inquiry and discussion. Students are expected to be on-time and in attendance for:
  • Interactive exploration of new content
  • Group application trial and discovery
  • In-class review of homework sets
  • In-class group learning with peer support
  • In-class assessments

Learning Resources

Required textbook: (No cost)

Course Related Information

There are no co-requisites for this course.  See Course Outline header for Pre-requisites

In addition to the Course Learning Outcomes, students will be expected to:
  • Use mathematical language to clearly express ideas, methods and procedures.
  • Organize and implement a problem-solving approach.
  • Develop logical mathematical arguments.
  • Relate topics to previous and upcoming concepts.
  • Use graphs as mathematical models to make predictions.
ASSESSMENT POLICY:
Students are required to write all tests and submit all assignments when scheduled.  Late assignments may be considered at the discretion of the professor for a reduced grade based on a late penalty of 5% per day (starting from the date and time due).

Supervised rewriting or make-up testing is at the discretion of the professor and may require attending additional tutorials. A maximum of one assessment can be rewritten or made up per semester.

Students should keep all graded assignments and course work for future reference.

For assignments completed outside of class, students must use the assignment template provided, ensure that their submission is only their own work, and ensure no copies of the assignment are made or shared with other students.

AUDIO RECORDING AND ELECTRONIC DEVICES:
Students are requested to ask permission to audio record a class, and permission will not be unreasonably withheld. Students registered with Accessible Learning whose accommodation needs require audio-recorded lectures may do so but may be asked to turn off the recorder during discussion time. The audio recording is intended for academic purposes, and to be used in a manner that respects individuals’ privacy. Mobile phones, tablets, laptops, and other electronic devices will be used for several in-class activities. They should be in silent mode at all times and used only for activities related to the course.

ATTENDANCE, PARTICIPATION AND CONDUCT
Punctuality and attendance are essential.
  • Students are responsible for arriving on time and to participate in classroom activities.
  • Changes to dates and details of assessments are negotiated, discussed, and updated in class.
  • Students are responsible for learning any content missed while they are not in class.

Pre-defined Evaluation / Earning Credit

The following list provides evidence of this course's learning achievements and the outcomes they validate:

Summary Assignment (60%)
Tests 1-2. In-class 1.5 hours. (30% each)

Validates Outcomes:  CLO 1, CLO 2, CLO 3, CLO 4, CLO 5, EES 3, EES 4, EES 5, EES 10

    R101  :   VLO 3

    R104  :   VLO 3

Assignment(s) (10%)
Review Assignments 1-2. Review of test content. (5% each)

Validates Outcomes:  CLO 1, CLO 2, CLO 3, CLO 4, CLO 5, EES 3, EES 4, EES 5, EES 10

    R101  :   VLO 3

    R104  :   VLO 3

Assignment(s) (5%)
Assignment on Related Rates

Validates Outcomes:  CLO 1, CLO 3, CLO 4, EES 3, EES 4, EES 5, EES 10

    R101  :   VLO 3

    R104  :   VLO 3

Quiz / Quizzes (15%)
2 Quizzes: Practice/Review of course material. (7.5% each)

Validates Outcomes:  CLO 1, CLO 2, CLO 3, EES 3, EES 4, EES 5, EES 10

    R101  :   VLO 3

    R104  :   VLO 3

Homework (10%)
Graded Homework. Practice/Review of course material. Homework is completed to demonstrate mastery of course content.

Validates Outcomes:  CLO 1, CLO 2, CLO 3, CLO 4, CLO 5, EES 3, EES 4, EES 5, EES 10

    R101  :   VLO 3

    R104  :   VLO 3

Prior Learning Assessment and Recognition

Students who wish to apply for Prior Learning Assessment and Recognition (PLAR) need to demonstrate competency at a post-secondary level in all outlined course learning outcomes. Evidence of learning achievement for PLAR candidates includes:

  • This course is not PLAR eligible : Please see program Chair for more information.

Grade Scheme

The passing grade for this course is 50% / "D"
Final Grade Percentage Weight
A+ 90-100 4.0
A 86-89 4.0
A- 80-85 3.7
B+ 77-79 3.3
B 73-76 3.0
B- 70-72 2.7
C+ 67-69 2.3
C 63-66 2.0
C- 60-62 1.7
D+ 57-59 1.3
D 50-56 1.0
Below 50 0.0

Refer to the Evaluation System on this outline for information on how marks are distributed. More detailed information on assessments may also be found in your Course Section document.

As per Office of the Registrar Policies:

“A” Range = GPA 4.0-Consistently exceeds (course) requirements; shows evidence of being well-organized; shows original and creative thinking and a superior grasp of subject matter.

“B” Range = GPA 3.0-Shows consistent performance and evidence of being well-organized, shows elements of original and creative thinking; has a strong grasp of subject matter

“C” Range = GPA 2.0-Applies the subject matter appropriately; comprehends the subject matter.”

"D" Range = GPA 1.0-The student inconsistently applies and communicates knowledge of the subject matter

"F" Range = GPA 0.0-The student fails to apply and communicate an understanding of the subject matter.

Additional information regarding grading for this course may also be found in the "Course Related Information" section of this course outline.