Edwin Parr Composite
Mathematics 31 Course Outline
Teacher: Mr. Beach
E-mail: [email protected]
Course Website: http://jbeach.weebly.com
Mathematics 31 Course Outline
Teacher: Mr. Beach
E-mail: [email protected]
Course Website: http://jbeach.weebly.com
Course Objectives:
• to develop an understanding of the algebra of functions and transformations, together with their graphs, and to apply these understandings in different areas of mathematics.
• to develop a fluency in algebraic computations involving rational expressions, inequalities, absolute values and trigonometric functions.
• to introduce the principal concepts and method of differential and integral calculus.
• to develop skill in problem solving and reasoning, using calculus concepts and procedures as the context.
• to apply the methods of calculus to various simple applications in the physical and biological sciences, in engineering, in business and in the social sciences.
Text: Calculus, A First Course, Stewart, Davison and Ferroni, McGraw-Hill Ryerson Ltd
Topics include the following:
1. Limits and Rates of Change (chp. 1)
2. Derivatives and Derivative Theorems (chp. 2)
3. Applications of Derivatives
Part 1. - Related Rates (chp 3) (3.1, 3.2, 3.5)
Part 2. - Maximum, Minimum problems (chp 4) (4.1 – 4.4)
Part 3. - Curve Sketching (chp 5)
4. Trigonometric Functions and Derivatives of Trigonometric Functions (chp 6, 7) (omit 7.5 & 7.6)
5. Calculus of Exponential and Logarithmic Functions (chp 8)
6. Integrals and Integral Theorems and Integral Applications
Part 1 - Differentiation, Antiderivatives (chp 9) (9.1, 9.2, 9.3)
Part 2 - Areas under Curves, Integrals, Volume (chp 10, 11) (10.1, 10.2, 10.4, 11.1, 11.2)
Evaluation:
The Teacher Assigned mark will be calculated as follows:
• to develop an understanding of the algebra of functions and transformations, together with their graphs, and to apply these understandings in different areas of mathematics.
• to develop a fluency in algebraic computations involving rational expressions, inequalities, absolute values and trigonometric functions.
• to introduce the principal concepts and method of differential and integral calculus.
• to develop skill in problem solving and reasoning, using calculus concepts and procedures as the context.
• to apply the methods of calculus to various simple applications in the physical and biological sciences, in engineering, in business and in the social sciences.
Text: Calculus, A First Course, Stewart, Davison and Ferroni, McGraw-Hill Ryerson Ltd
Topics include the following:
1. Limits and Rates of Change (chp. 1)
2. Derivatives and Derivative Theorems (chp. 2)
3. Applications of Derivatives
Part 1. - Related Rates (chp 3) (3.1, 3.2, 3.5)
Part 2. - Maximum, Minimum problems (chp 4) (4.1 – 4.4)
Part 3. - Curve Sketching (chp 5)
4. Trigonometric Functions and Derivatives of Trigonometric Functions (chp 6, 7) (omit 7.5 & 7.6)
5. Calculus of Exponential and Logarithmic Functions (chp 8)
6. Integrals and Integral Theorems and Integral Applications
Part 1 - Differentiation, Antiderivatives (chp 9) (9.1, 9.2, 9.3)
Part 2 - Areas under Curves, Integrals, Volume (chp 10, 11) (10.1, 10.2, 10.4, 11.1, 11.2)
Evaluation:
The Teacher Assigned mark will be calculated as follows:
Quizzes and Assignments
Unit Tests Final Exam |
25%
50% 25% |
Note: There is no diploma exam in this course.
Homework:
Be prepared to do an average of 4 hours per week outside of regular class time.
Extra Help:
This can be arranged as needed before school or at noon . JUST ASK!
Resources: Calculus: A Problem Solving Approach, Reid et al., John Wiley & Sons Canada Ltd.
Math 31, H.A. Elliot, KD. Fryer , J.C. Gardner & N.I.Hill, Holt-Rinehart-Winston
Homework:
Be prepared to do an average of 4 hours per week outside of regular class time.
Extra Help:
This can be arranged as needed before school or at noon . JUST ASK!
Resources: Calculus: A Problem Solving Approach, Reid et al., John Wiley & Sons Canada Ltd.
Math 31, H.A. Elliot, KD. Fryer , J.C. Gardner & N.I.Hill, Holt-Rinehart-Winston