Math 31 (5 credits)

EDWIN PARR COMPOSITE COMMUNITY SCHOOL

Teacher:   Mr. J. Beach

Parents and Students:  see my web page for updates on homework info and extra help http://www.aspenview.org/schools/epc/jbeach/

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  (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    20%

           Unit Tests                            50%

           Final Exam                            30%

                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, noon or after school.  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