凱蒂教授的微積分 AB 課程 |第 2 學期 |早鳥特惠

Week 1: Implicit Differentiation Basics	
		6.1.1 An Introduction to Implicit Differentiation
		6.1.2 Finding the Derivative Implicitly
		
	Week 2: Applying Implicit Differentiation	
		6.2.1 Using Implicit Differentiation
		6.2.2 Applying Implicit Differentiation
		
	Week 3: Position and Velocity	
		7.1.1 Acceleration and the Derivative
		7.1.2 Solving Word Problems Involving Distance and Velocity
		
	Week 4: Linear Approximation	
		7.2.1 Higher-Order Derivatives and Linear Approximation
		7.2.2 Using the Tangent Line Approximation Formula
		
	Week 5: Newton's Method	
		7.2.3 Newton's Method
		
	Week 6: Optimization	
		7.4.1 The Connection Between Slope and Optimization
		7.4.2 The Fence Problem
		7.4.3 The Box Problem
		
	Week 7: Optimization	
		7.4.4 The Can Problem
		7.4.5 The Wire-Cutting Problem
		
	Week 8: Related Rates	
		7.3.1 The Pebble Problem
		7.3.2 The Ladder Problem
		7.3.3 The Baseball Problem
		7.3.4 The Blimp Problem
	
	Week 9:  Introduction	
		8.1.1 An Introduction to Curve Sketching
		8.1.2 Three Big Theorems
		
	Week 10: Criticals and Mins and Maxes	
		8.2.1 Critical Points
		8.2.2 Maximum and Minimum
		
	Week 11: Critical Points Part 2	
		8.2.3 Regions Where a Function Increases or Decreases
		8.2.4 The First Derivative Test
		8.2.5 Math Magic
		
	Week 12: Concavity	
		8.3.1 Concavity and Inflection Points
		8.3.2 Using the Second Derivative to Examine Concavity
		
		
	Week 13: Graphing Using the Derivative Part 1	
		8.4.1 Graphs of Polynomial Functions
		8.4.2 Cusp Points and the Derivative
		
	Week 14: Graphing Using the Derivative Part 1	
		8.4.3 Domain-Restricted Functions and the Derivative
		8.4.4 The Second Derivative Test
		
	Week 15: Asymptotes Part 1	
		8.5.1 Vertical Asymptotes
		8.5.2 Horizontal Asymptotes and Infinite Limits
		
	Week 16: Asymptotes Part2	
		8.5.3 Graphing Functions with Asymptotes
		8.5.4 Functions with Asymptotes and Holes
		8.5.5 Functions with Asymptotes and Critical Points
		
	Week 17:  Final Exam	

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.

D - On occasion, I might go over the set duration of the class in order to make sure the students are reaching mastery level on their concepts.  I understand that many families book their time under tight schedules, and I am not at all bothered if the student needs to leave the classroom right at the end of the assigned class window.  Simply ask your learner to leave a message in the chat so that I'm aware they are leaving.

E - Students who wish to using their own writing table (digital drawing tablet) are welcome to, but only if they do not slow the momentum of the class. Some students are good at keeping up, but please make sure your learner understands that the teach might thank them, but graciously take over the writing if she needs to keep the momentum of the class going.