# MATHEMATICS COURSES

## CALCULUS 12

### CALCULUS 12 COURSE CODE: MCALC12

FOUNDATION COURSE: PRE-CALCULUS 12

*This course may be offered in Period 1 or outside of the timetable.

This course is very useful and highly recommended for students who have strong mathematical ability and who intend to take calculus in their first year at a post-secondary institution. The main topics include, functions, limits, continuity, derivative rules, curve sketching, related rate problems, maximum-minimum problems, integrals, and their applications.

## FOUNDATIONS OF MATHEMATICS 12

### FOUNDATIONS OF MATHEMATICS 12 COURSE CODE: MFOM-12

FOUNDATION COURSE: FOUNDATIONS 11 OR PRE-CALCULUS 11

This course is designed to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary studies in programs that do not require the study of theoretical calculus. This might include the Humanities, Fine Arts, some Trades and Technical programs. The course will involve analyzing graphical representations of polynomial, exponential, logarithm and sinusoidal functions and regression analysis of the same. Other topics include constructions, conics, fractals combinatorics, probability, and financial planning. The core and curricular competencies will be addressed throughout the course. The option to purchase math workbook is available if students choose to write in it.

## PRE-CALCULUS 12

### PRE-CALCULUS 12 COURSE CODE: MPREC12

FOUNDATION COURSE: or PRECALCULUS 11 HONOURS

*This course may be offered in Period 1 or outside of the timetable.

This course is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into post-secondary programs that require the study of theoretical calculus. This might include Mathematics, Sciences, Engineering and Commerce. This course will emphasis that: Understanding the characteristics of families of functions, allows us to model and understand relationships and to build connections between classes of functions. Transformations of shapes extended to function and relations in all of their representations. Graphs of polynomial, radical, rational, trigonometric, exponential and logarithm functions as well as conics will be analyzed. Using inverses is the foundation of solving equations and can be extended to relationships between functions. Solving polynomial, rational, radical, trigonometric, exponential, and logarithm equations will be discussed both graphically (with and without technology) and algebraically.  Proving trigonometric identities, evaluating trigonometric functions, exploring geometric sequence & series, and using sigma notation will also be included. The core and curricular competencies will be addressed throughout the course. The option to purchase math workbook is available if students choose to write in it.

At the end of this course students are prepared for Calculus 12.