Calculus 12 Outline
**The Midterm and Final are in-person, supervised exams
Unit 1 – Precalculus 12 Review (This is covered in your first assignment)
- Lesson 1 – Introduction to Calculus
- Lesson 2 – Review of Functions
- Lesson 3 – Graphing Calculators
- Lesson 4 – Composition
- Lesson 5 – Some Common Functions
- Lesson 6 – Inverse Functions
- Lesson 7 – Exponential & Logarithmic Functions
Unit 2 – Limits and Continuity
- Lesson 1 – Introduction to Limits
- Lesson 2 – Properties of Limits
- Lesson 3 – Limits Involving Infinity
- Lesson 4 – Continuity
- Lesson 5 – Applications of Limits
| Assignments and tests | How to submit |
| Quiz 1 – Lessons 1, 2 and 3 | Open link on Canvas |
| Quiz 2 – Lessons 4 and 5 | Open link on Canvas |
| Chapter 2 Video Notes and Review Assignment | Scan and submit into Canvas dropbox |
| Chapter 2 Test | Multiple choice done directly on Canvas
Upload written page **Read instructions on Canvas** |
Unit 3 – Differentiation
- Lesson 1: The Derivative
- Lesson 2: Rules of Differentiation
- Lesson 3: Trigonometric Derivatives and The Chain Rule
- Lesson 4: Derivatives of Exponential, Logarithmic, and Inverse Trig Functions
- Lesson 5: Implicit Differentiation
| Assignments and tests | How to submit |
| Quiz 1 – Lessons 1 and 2 | Open link on Canvas |
| Quiz 2 – Lessons 3, 4 and 5 | Open link on Canvas |
| Chapter 3 Video Notes and Review Assignment | Scan and submit into Canvas dropbox |
| Chapter 3 Test | i) Multiple choice done directly on Canvas
ii) Upload written page **Read instructions on Canvas** |
Unit 4 – Applications of Derivatives
- Lesson 1: Analyzing Functions Part I: Curve Sketching
- Lesson 2: Analyzing Functions Part II: Maximums and Minimums
- Lesson 3: Applied Maximum and Minimum Problems
- Lesson 4: Distance, Velocity, Acceleration and Rectilinear Motion
- Lesson 5: Related Rates
- Lesson 6: The Mean-Value Theorem
| Assignments and tests | How to submit |
| Quiz 1 – Lessons 1, 2 and 3 | Open link on Canvas |
| Quiz 2 – Lessons 4, 5 and 6 | Open link on Canvas |
| Chapter 4 Video Notes and Review Assignment | Scan and submit into Canvas dropbox |
| Chapter 4 Test | Multiple choice done directly on Canvas
Upload written page **Read instructions on Canvas** |
Unit 5 – Integration
- Lesson 1: Area Approximation and Riemann Sums
- Lesson 2: Introduction to the Definite Integral
- Lesson 3: The Fundamental Theorem of Calculus
- Lesson 4: Integrals and Antiderivatives
- Lesson 5: Integration by Substitution
- Lesson 6: The Definite Integral
| Assignments and tests | How to submit |
| Quiz 1 – Lessons 1, 2 and 3 | Open link on Canvas |
| Quiz 2 – Lessons 4, 5 and 6 | Open link on Canvas |
| Chapter 5 Video Notes and Review Assignment | Scan and submit into Canvas dropbox |
| Chapter 5 Test | Multiple choice done directly on Canvas
Upload written page **Read instructions on Canvas** |
Unit – 6 Applications of Integrals
- Lesson 1: Finding the Area Under and Between Curves
- Lesson 2: Volume by Discs (Slicing)
- Lesson 3: Volume by Shells
- Lesson 4: Work
- Lesson 5: Average Value of a Function and Rectilinear Motion Revisited
| Assignments and tests | How to submit |
| Quiz 1 – Lessons 1, 2 and 3 | Open link on Canvas |
| Quiz 2 – Lessons 4 and 5 | Open link on Canvas |
| Chapter 6 Video Notes and Review Assignment | Scan and submit into Canvas dropbox |
| Chapter 6 Test | i) Multiple choice done directly on Canvas
ii) Upload written page **Read instructions on Canvas** |
Unit 7 – Differential Equations and More Riemann Sums
- Lesson 1: Differential Equations – An Introduction
- Lesson 2: Initial Value Problems, Slope Fields, and Euler’s Method
- Lesson 3: Linearization and Newton’s Method
- Lesson 4: Numerical Approximation Methods with Integrals
| Assignments and tests | How to submit |
| Quiz 1 – Lessons 1 and 2 | Open link on Canvas |
| Quiz 2 – Lessons 3 and 4 | Open link on Canvas |
| Chapter 7 Video Notes and Review Assignment | Scan and submit into Canvas dropbox |
| Chapter 7 Test | Multiple choice done directly on Canvas
Upload written page **Read instructions on Canvas** |
Unit 8 – Supplemental Topics
- Lesson 1: Exploring the Graphs of f, f’
- Lesson 2: Relative Rates of Growth
- Lesson 3: Using Calculus With Data in a Table
- Lesson 4: Functions Defined By Integrals
| Assignments and tests | How to submit |
| Quiz 1 – Lessons 1 – 4 | Open link on Canvas |
| Chapter 8 Video Notes and Review Assignment | Scan and submit into Canvas dropbox |
Required Resources: a computer with internet access and headphones/speakers in addition to a graphing/scientific calculator.