Professor Kitty's Calculus Course | 1st Semester | Early Bird Special

Week 1: Concept of the Limit	
	Finding Rate of Change over an Interval
	Finding Limits Graphically
	The Formal Definition of a Limit
	
Week 2: Laws of Limits	
	The Limit Laws, Part I
	The Limit Laws, Part II
	One-Sided Limits
	
Week 3:  Squeeze Theorem & Continuity	
	The Squeeze Theorem
	Continuity and Discontinuity
	
Week 4:   Evaluating Limits Part 1	
	Evaluating Limits
	Limits and Indeterminate Forms

Week 5: Evaluating Limits Part 2	
	 Two Techniques for Evaluating Limits
	An Overview of Limits
	Limits of Trig functions
	
Week 6: Intro to Derivative Part 1	
	Rates of Change, Secants, and Tangents
	Finding Instantaneous Velocity
	The Derivative
	Differentiability
	
Week 7:  Using the Derivative Part 1	
	The Slope of a Tangent Line
	Instantaneous Rate
	The Equation of a Tangent Line
	More on Instantaneous Rate
	
Week 8:  Some Special Derivatives	
	The Derivative of the Reciprocal Function
	The Derivative of the Square Root Function
	
Week 9:  Computational Techniques	
	The Power Rule
	A Shortcut for Finding Derivatives
	A Quick Proof of the Power Rule
	Uses of the Power Rule
	
Week 10: The Product and Quotient Rules	
	The Product Rule
	The Quotient Rule
	
Week 11: The Chain Rule	
	An Introduction to the Chain Rule
	Using the Chain Rule
	Combining Computational Techniques
	
	
Week 12: Trigonometric Functions	
	The Derivatives of Trigonometric Functions
	The Number Pi
	
Week 13:  Exponential Functions	
	Graphing Exponential Functions
	Derivatives of Exponential Functions
	
Week 14: Logarithmic Functions	
	The Derivative of the Natural Log Function
	Using the Derivative Rules with Transcendental Functions

Week 15:  Midterm Exam

I will have unit tests.  Mastery is extraordinarily important to me, so I will compare the grades the student gets on a test with the level of participation and whether I notice the student seems to understand the material.  

What to expect during a lesson: 
Each lesson will operate this way.

Ahead of the lesson, I will introduce what the students will be learning and start with what they know.  I'll send a short homework assignment which the learners must turn in (take a picture and upload).  These homework will be the launch of the lesson. I'll teach the concept for 10 minutes and then we will take turns with I do, We do, You do. 

I will then review all concepts learned and check in with the students on their learning. I will finish with an intro to the next lesson as well as the homework assignment for week:

Some class policies:

A - Students who are not able to make class have access to the recordings.

B - I adjust each lesson according to the needs to the learners, so if most students need additional time on a topic I'll take that time. Making sure we accomplish coverage and mastery of all topics will require me to stay on schedule, so if additional time is needed, I will suggest students to sign up for my available supplemental Algebra classes and tutoring sessions.  I have a strong reputation of moving students successfully through the topics to mastery so I don't anticipate that supplementary classes are needed, but I want families to be aware that these are available and effective tools for their learners' success.

C - The group dynamics and interaction between leaners and the teacher are critical to a successful class.  If learners do not arrive in class according to Outschool's standard for a viable participation (10 minutes), I will leave the classroom, according to Outschool's policy.