MTH198 - Calculus

Semester | |

School | |

Last revision date | 2017-05-29 00:38:46.155 |

Last review date | 2017-07-17 00:16:15.393 |

**
Subject Title
**

Calculus

**
Subject Description
**

This course is designed to extend students' knowledge of functions and their understanding of rates of change. In addition, students will be introduced to the algebra of vectors.

**
Credit Status
**

Credit

**
Learning Outcomes
**

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

1. Investigate rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions

2. Solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three dimensional space.

3. Apply the skill gained to the application of real world models.

**
Essential Employability Skills
**

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.

Use a variety of thinking skills to anticipate and solve problems.

Locate, select, organize, and document information using appropriate technology and information systems.

Analyze, evaluate, and apply relevant information from a variety of sources.

Show respect for diverse opinions, values, belief systems, and contributions of others.

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.

**
Cheating and Plagiarism
**

Each student should be aware of the College's policy regarding Cheating and Plagiarism. Seneca's Academic Policy will be strictly enforced.

To support academic honesty at Seneca College, all work submitted by students may be reviewed for authenticity and originality, utilizing software tools and third party services. Please visit the Academic Honesty site on http://library.senecacollege.ca for further information regarding cheating and plagiarism policies and procedures.

**
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 Disabilities Services Office at ext. 22900 to initiate the process for documenting, assessing and implementing your individual accommodation needs.

**
Prerequisite(s)
**

MTH196 (grade B or higher) or Grade 12U Advanced Functions.

**
Topic Outline
**

**1. Advanced Functions Review**

1.1 Polynomial functions: Characteristics of Polynomial Functions; Dividing a Polynomial by a Polynomial; Factoring Polynomials; Solving Polynomial Equations and Inequalities.

**2. Introduction to Calculus**

**3. Derivatives**

3.3 The Derivative of Composite Function.

3.4 Implicit Differentiation.

**4. Derivatives and their Functions**

4.5 Local Maximum and Minimum Values.

**5. An Introduction to Vectors**

5.1. Properties of Vectors.

**6. Applications of Vectors**

6.1 Vectors and Forces

6.3 The Dot and Cross Product of Two Vectors.

6.4 Applications of the Dot Product and Cross Product.

**7. Equations of Lines and Planes**

7.2 Cartesian Equation of a Line

7.3 Vector, Parametric, and Symmetric Equations of a Line in R3.

7.4 Vector and Parametric Equations of a Plane.

7.5 The Cartesian Equation of a Plane

7.6 Sketching Planes in R3.

**
Mode of Instruction
**

Your professor will use a variety of appropriate teaching modes and techniques, such as the following: lecture, question and answer, tutorials, classroom discussion, group work, individual and/or group presentation, computer-aided instruction, consultation, etc.

**
Prescribed Texts
**

Calculus And Vectors 12 W/ Online Pdf Files

Publisher: Nelson Education Inc. Authors: Chris Kirkpatrick, Peter Crippin, Rob Donato & Dave Wright.

ISBN-13: 978-0-17-6678357

**
Reference Material
**

None

**
Required Supplies
**

None

**
Promotion Policy
**

A+ | 90% to 100% |

A | 80% to 89% |

B+ | 75% to 79% |

B | 70% to 74% |

C+ | 65% to 69% |

C | 60% to 64% |

D+ | 55% to 59% |

D | 50% to 54% |

F | 0% to 49% (Not a Pass) |

OR | |

EXC | Excellent |

SAT | Satisfactory |

UNSAT | Unsatisfactory |

For further information, see a copy of the Academic Policy, available online (http://www.senecacollege.ca/academic-policy) or at Seneca's Registrar's Offices.

**
Modes of Evaluation
**

To be successful in this course, you must complete all course work as specified and achieve an overall grade of 50% or higher. For further information on evaluation and academic standing, see a copy of the Academic Policy available at Seneca registration offices.

**Term Work:**

All term work assignments must be completed prior to the time of the examination. Unless students have been granted an extension ** in advance**, late take-home assignments will be penalized

**one letter grade per day**and will not be graded after one week (there is no provision for rewriting late assignments, regardless of the grade). Students must contact faculty in advance of due date to discuss extensions.

If a student has to miss any in-class quiz/test, he/she must notify the faculty via email or phone messages

__prior to start time of the quiz/test date__. Valid documentation (such as original stamped doctor's note) must be submitted to the faculty on or before the next scheduled class. Make-up opportunities may be arranged at the Test Centre.

**Grading Scheme:**

Test 1 | 15% |

Test 2 | 15% |

Test 3 | 20% |

Assignments (3) | 15% |

FINAL EXAM | 35% |