Unit 1: Introduction to Calculus
Lesson 1: Introduction to Limits
Course Note: Introduction to Limits
Homework: Understanding Limits #1-9
Videos: Limits - An Introduction, Finding Limits from a Graph,
Lesson 2: Finding Limits Analytically
Course Note: Finding Limits Analytically
Homework: Finding Limits Analytically
Videos: Limits by Direct Substitution, Undefined Limits by Direct Substitution, Limits of Piecewise Functions, Limits of Absolute Value Functions, Determining Limits Algebraically, Strategies for Finding Limits, Indeterminate Limits (Factoring), Indeterminate Limits (Conjugate), Indeterminate Limits (Conjugate 2),
Lesson 4: Limits at Infinity
Course Note: Limits at Infinity
Homework: Limits at Infinity Homework
Videos: Intro to Infinite Limits, Infinite Limits and Asymptotes, Limits at Infinity - Rationals, Limits at Infinity - Mixed Unbounded, Limits at Infinity
Lesson 5: Continuous & Discontinuous Functions
Course Note: Continuous and Discontinuous Functions
Homework: Duotang p. 56 #5, Nelson p. 51 #1, 4, 5c-f, 7, 12, 14, 15
Videos: Types of Discontinuities, Continuity at a Point, Worked Example - Continuity at a Point, Definition of Continuity
Lesson 6: Derivative by First Principles
Course Note: Derivative by First Principles
Homework: Duotang p. 58 #1bef, 2df, these rationals
Videos: Derivative by First Principles, First Principles Example 2, First Principles Rational
Lesson 7: Derivative Shortcuts: Day One
Course Note: The Constant, Constant Multiplier, Power, and Sum & Difference Rules
Homework: Duotang p. 59/60 #2 (even), 4 (even), 5, 7, 9, 10, p. 61/62 #5, 6, 7
Videos: The Power Rule, The Constant Multiplier Rule, The Sum & Difference Rules, Tangent Line Example
Lesson 8: Derivative Shortcuts: The Product Rule
Course Note: The Product Rule
Homework: Duotang p. 63 5even, 7, 8, Nelson p. 90 #12
Videos: The Product Rule
Lesson 9: Derivative Shortcuts: The Quotient Rule
Course Note: The Quotient Rule
Homework: Duotang p. 65 #2bdeg, 3d, 5-6, Nelson p. 98 #9b, 14
Lesson 10: Derivative Shortcuts: The Chain Rule
Course Note: The Chain Rule
Homework: Duotang p. 67 #5bdfgik, Nelson p. 106 #10-12, 15
Lesson 11: Derivative Shortcuts: Combinations of Rules
Course Note: Combinations of Derivative Rules
Homework: Combinations Homework, #3acegijkl, 5, 8, 9