## Calculus 12

Calculus 12 Course Overview

Big Ideas

 The concept of a limit is foundational to calculus. Differential calculus develops the concept of instantaneous rate of change. Integral calculus develops the concept of determining a product involving a continuously changing quantity over an interval. Derivatives and integrals are  inversely related.

Introduction

This Calculus 12 course fully meets the learning outcomes of the BC Curriculum. It is designed to prepare students to take calculus at the post-secondary level. Students will get a basic understanding of calculus which covers limits, derivatives, integrals, and their applications.

Where does this course fit?

• Pre-requisite: Pre-Calculus 12 is recommended

Course Materials

• All course materials including notes, videos, and practice questions are provided online.

Brief Outline

 Unit Description Functions Students get a review and solid understanding of Function Terminology, Compositions and Transformations of Functions, Inverse Functions, Exponential and Logarithmic Functions, and some Common Functions which help students to get success in this course. Limits and Continuity By studying the definition and properties of limits, students will see how limits arise when they attempt to find the tangent to a curve or velocity of an object. Differentiation Differentiation is a process of finding the instantaneous rate of change of a function. Students will learn how to find the derivatives of functions including trigonometric functions, Exponential functions, logarithmic functions, implicit, and inverse functions. Applications of Derivatives Students might feel excited to know how to apply derivatives in the real world. Some of the most important applications of derivatives are optimization problems—find the optimal (best)way of doing something. Integration Integration is a reverse process of differentiation. Students will learn it by studying the Fundamental theorem of Calculus. Both indefinite and definite integrals are covered in this unit. Applications of Integrals Students will learn how to use the integral to solve problems concerning the area under and between curves, volumes of an object, work, force, and distance.

Assessment Percentage Breakdown

 Assessment Type Percentage of the Course Assignments 23 Online Chapter Tests and Quizzes 22 Midterm exam 20 Final exam 35

You have up to a year to complete your course.