MATH 31 2016/2017 Mrs. N. Ohlmann

MATH 31 2016/2017 Mrs. N. Ohlmann 403-405-2741 (home) 403-593-9715 (cell) Credits: 5 [email protected]

Prerequisite or Corequisite: 50% in Math 30-1

COURSE OUTLINE AND TIMELINE: The number of weeks to complete each topic is an approximation and may be changed at the discretion of the teacher.

# of weeks Module 1 – Precalculus……………………………………………………….….. 5 Module 2 – Limits……………………….…………………………………….…. 4 Module 3 – The Derivative…….………………….……………………………... 4 Module 4 – Trigonometry………………….…….…………………………….... 4 Module 5 – Curve Sketching………………….…………………………………. 5 Module 6 – Applications of the Derivative.…………………………………….... 4 Module 7 – The Integral……………………………………………………….…. 4 Module 8 – Exponential and Logarithmic Functions ..………………………….. 4 REVIEW AND FINAL………………………………………...... 3 Total……………………………………………………………... 37

TEXT: Distance Learning Modules You are responsible for your module and should bring it to class every day (along with the other necessary supplies listed below). Please do not write in these books as you are borrowing them and are expected to return it in good condition at the end of the semester.

REQUIRED MATERIALS:  binder with looseleaf paper  pencil , eraser, red pen, blue pen  ruler  graphing calculator (TI-83plus or TI-84plus)

HOMEWORK AND ASSIGNMENTS:

Daily assignments and exercises are an integral part of this course. Doing the assignments gives you a chance to make sure you understand the concepts presented in class. Math is cumulative so you must understand today’s work in order to do tomorrow’s. In general, the responsibility for learning and completing assignments is on you, the student. Time will be provided in class to work on assignments but work not done in class must be completed at home.

You are responsible for using the textbook as a resource to check your work. All textbook assignments should be completed, checked and mistakes should be corrected.

MISSED CLASSES OR TESTS:

If you miss a class, you are responsible for finding out what work you missed and completing all assignments. If you miss a test or exam, you are responsible for arranging a time to write the exam. Missed tests/exams are written during the students’ own time (not during class as too much new material is missed). Please approach me in advance if you know of specific times when you will be away.

EXTRA HELP:

If you are having difficulty with material, please arrange a time (ahead of time) for extra help outside of class. I am available after school and at noon. As well, I will be posting weekly math help times. These are the best times for additional help.

EVALUATION:

1. Report Card Marks a. Unit Tests 80% b. Checkups and Homework 20%

2. Final Mark a. Course Work 70% (average of semesters marks) b. Final Exam 30%

DIPLOMA REQUIREMENTS:

Math 31 is an optional course and is not a required course for your diploma. However, it is a requirement and helpful as a prerequisite for some university courses. MATH 31

Unit 1 – PRECALCULUS

Section 1 – Inequalities and Absolute Value

Section 2 – Combinations of Functions

Section 3 – Transformations and Symmetries

Unit 2 – LIMITS

Section 1 – Sequences and Series

Section 2 – The Limit of a Function

Unit 3 – THE DERIVATIVE

Section 1 – Definition of the Derivative

Section 2 – Finding Derivatives

Unit 4 – TRIGONOMETRY

Section 1 – Trigonometric Identities

Section 2 – Trigonometric Derivatives

Section 3 – Limits of Trigonometric Functions

Section 4 – Derivatives of Trigonometric Functions Unit 5 – CURVE SKETCHING

Section 1 – Domain and Range

Section 2 – Asymptotes

Section 3 – The First Derivative

Section 4 – The Second Derivative

Section 5 – Curve Sketching Procedures

Unit 6 – APPLICATIONS OF THE DERIVATIVE

Section 1 – Maximum and Minimum Problems

Section 2 – Rates of Change

Section 3 – Related Rates

Unit 7 – THE INTEGRAL

Section 1 – Antiderivatives

Section 2 – Areas

Section 3 – Applications of Integration

Unit 8 – EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Section 1 – Natural Logarithms Section 2 – Applications