JOHN McCRAE SECONDARY SCHOOL MCV4U Calculus & Vectors, Gr.12 University Mrs. Angel-Blair: Office: Room 330 Classrooms: Period 2: 321 Period 4: 322

Textbook: Advanced Functions, Nelson (Replacement cost: $100 Damage Repair $20

E-mail: [email protected]

For allowable calculators -- see web page Course Evaluation

OVERALL EXPECTATIONS By the end of this course the student will: A. Rate of Change •

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Demonstrate an understanding of rate of change by making connections between average rate of change over an interval and instantaneous rate of change at a point, using the slopes of secants and tangents and the concept of a limit; Graph the derivatives of polynomial, sinusoidal, and exponential functions, and make connections between the numeric, graphical, and algebraic representations of a function and its derivative; Verify graphically and algebraically the rules for determining derivatives; apply these rules to determine the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions, and simple combinations of functions; and solve related problems.

B. Derivatives and Their Applications • •

Make connections, graphically and algebraically, between the key features of a function and its first and second derivatives, and use the connections in curve sketching; Solve problems, including optimization problems, that require the use of the concepts and procedures associated with the derivative, including problems arising from real-world applications and involving the development of mathematical models.

C. Geometry and Algebra of Vectors • • • •

Demonstrate an understanding of vectors in two-space and three-space by representing them algebraically and geometrically and by recognizing their applications; Perform operations on vectors in two-space and three-space and use the properties of these operations to solve problems, including those arising from real-world applications; Distinguish between the geometric representations of a single linear equation or a system of two linear equations in two-space and three-space, and determine different geometric configurations of lines and planes in three-space; Represent lines and planes using scalar, vector, and parametric equations, and solve problems involving distances and intersections.

Course evaluations will be based on the overall expectations and take into consideration all four categories of the achievement chart: Knowledge and Understanding, Application, Thinking and Communication The final grade will be calculated by: 70% Term Work including: • Rate of change • Derivatives & their Applications • Geometry & Algebra of Vectors ***subject to change*** 30% Summative Evaluation: • Summatives 5% + 5% • Final Exam

Units of study: • • • • • • • • •

Introduction to Calculus Derivatives Derivatives and Applications Curve Sketching Derivatives of Exponential & Trigonometric Functions Introduction to Vectors Applications of Vectors Equations of Lines and Planes Intersection of Lines and Planes

Students will be given advanced notice for tests.

Classroom Expectations: Be prepared and on time Be respectful Be helpful Be responsible Be diligent

Strategies for Success: Do your homework every night Get help as soon as difficulties arise Ask questions Create summaries Keep up with all work HAVE FUN !!!

Attendance Students are expected to attend classes consistently and to be punctual. Evaluations will occur regularly throughout the term. Students should be present for all scheduled tests and evaluations. If an evaluation is missed due to unavoidable circumstances, the student must meet with the classroom teacher so that alternate arrangements can be considered.

Learning Skills: Students will also be assessed on the following learning skills: responsibility, independent work, initiative, organization, collaboration and self-regulation.