 ### 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.