AP Calculus AB
SAT Score Range
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10 sessions
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JM
DA
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🔥 8 spots left!
About
Hi, I scored a 5 on my AP Calculus exam and am currently a Multivariable calculus student. I will be covering the first five units of AP Calculus: Limits and continuity, Differentiation: Definition and Fundamental Properties, Composite, Implicit, and Inverse Functions, Contextual Applications of Differentiation, and Analytical Applications of Differentiation.
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SESSION 1
19
Nov
SESSION 1
AP Calculus
AP Calculus
Wed 9:30 PM - 10:30 PM UTCNov 19, 9:30 PM - 10:30 PM UTC
Lesson 1: Understanding Limits
Objectives:
Understand what a limit represents.
Estimate limits using graphs and tables.
Use proper limit notation.
Topics:
1.1 Introducing Calculus
1.2 Limit notation
1.3 Limits from graphs
1.4 Limits from tables
Practice Focus: Evaluate basic limit expressions; read limit graphs; interpret tables.
SESSION 2
21
Nov
SESSION 2
AP Calculus
AP Calculus
Fri 9:30 PM - 10:30 PM UTCNov 21, 9:30 PM - 10:30 PM UTC
Lesson 2: Algebraic Techniques for Limits
Objectives:
Compute limits analytically.
Apply limit laws and algebraic manipulation.
Topics:
1.5 Properties of limits
1.6 Algebraic manipulation (factoring, rationalizing)
1.7 Selecting limit procedures
1.8 Squeeze Theorem
1.9 Representations of limits
Practice Focus: Simplify rational expressions, trigonometric limits, squeeze theorem problems.
SESSION 3
25
Nov
SESSION 3
AP Calculus
AP Calculus
Tue 12:15 AM - 1:15 AM UTCNov 25, 12:15 AM - 1:15 AM UTC
Lesson 3: Continuity and Types of Discontinuity
Objectives:
Identify and classify discontinuities.
Test continuity at a point and over intervals.
Understand removable discontinuities.
Topics:
1.10 Types of discontinuities
1.11 Continuity at a point
1.12 Continuity on intervals
1.13 Removing discontinuities
1.14 Infinite limits & vertical asymptotes
1.15 Limits at infinity & horizontal asymptotes
1.16 Intermediate Value Theorem
Practice Focus: Determine continuity, evaluate infinite limits, find asymptotes, use IVT.
SESSION 4
25
Nov
SESSION 4
AP Calculus
AP Calculus
Tue 9:30 PM - 10:30 PM UTCNov 25, 9:30 PM - 10:30 PM UTC
Lesson 4: Defining the Derivative
Objectives:
Understand the derivative conceptually and symbolically.
Compute derivatives using the limit definition.
Interpret rate of change.
Topics:
2.2 Definition of derivative
2.3 Estimating derivatives
4.1 Average & instantaneous rate of change
4.2 Position, velocity, acceleration
Practice Focus: Difference quotient; motion problems; derivative interpretation.
SESSION 5
3
Dec
SESSION 5
AP Calculus
AP Calculus
Wed 9:30 PM - 10:30 PM UTCDec 3, 9:30 PM - 10:30 PM UTC
Lesson 5: Basic Derivative Rules
Objectives:
Apply fundamental derivative rules.
Differentiate exponential, logarithmic, and trig functions.
Topics:
2.5 Power rule
2.6 Constant, sum, difference, constant multiple rules
2.7 Derivatives of sin, cos, e^x, ln x
Intro to tangent line slope
Practice Focus: Differentiate simple and composite expressions.
SESSION 6
5
Dec
SESSION 6
AP Calculus
AP Calculus
Fri 9:30 PM - 10:30 PM UTCDec 5, 9:30 PM - 10:30 PM UTC
Lesson 6: Product, Quotient, and Chain Rule
Objectives:
Apply advanced derivative rules to complex expressions.
Differentiate trig variants like tan, sec, csc.
Topics:
2.8 Product rule
2.9 Quotient rule
2.10 Derivatives of tan, cot, sec, csc
2.10 Chain rule (start)
Practice Focus: Multi-step derivative problems; chain rule practice.
SESSION 7
9
Dec
SESSION 7
AP Calculus
AP Calculus
Tue 9:30 PM - 10:30 PM UTCDec 9, 9:30 PM - 10:30 PM UTC
Lesson 7: Implicit Differentiation & Inverses
Objectives:
Differentiate implicit functions.
Find derivatives of inverse and inverse trig functions.
Topics:
3.2 Implicit differentiation
3.3 Inverse functions
3.4 Inverse trig derivatives
3.5 Selecting derivative procedures
3.6 Higher-order derivatives
Practice Focus: Implicit relations; d²y/dx²; inverse trig differentiation.
SESSION 8
10
Dec
SESSION 8
AP Calculus
AP Calculus
Wed 9:30 PM - 10:30 PM UTCDec 10, 9:30 PM - 10:30 PM UTC
Lesson 8: Applications: Related Rates & Linearization
Objectives:
Solve related rates word problems step-by-step.
Use linearization to approximate values.
Topics:
4.3 Applied rates of change
4.4 Intro to related rates
4.5 Solving related rates problems
4.6 Local linearity & linearization
4.7 L'Hospital’s Rule (intro only)
Practice Focus: Related rates diagrams; tangent line approximations; L'Hospital’s problems.
SESSION 9
12
Dec
SESSION 9
AP Calculus
AP Calculus
Fri 9:30 PM - 10:30 PM UTCDec 12, 9:30 PM - 10:30 PM UTC
Lesson 9: Analyzing Functions Using Derivatives
Objectives:
Use derivatives to analyze function behavior.
Identify extrema and concavity.
Topics:
5.1 Mean Value Theorem
5.2 EVT & critical points
5.3 Intervals of increase/decrease
5.4 First derivative test
5.5 Candidates test for extrema
5.6 Concavity
5.7 Second derivative test
5.8 Sketching graphs
5.9 Connecting f, f’, f’’
Practice Focus: Sign charts, full graph-sketching, extrema identification.
SESSION 10
16
Dec
SESSION 10
AP Calculus
AP Calculus
Tue 9:30 PM - 10:30 PM UTCDec 16, 9:30 PM - 10:30 PM UTC
Lesson 10: Optimization & Final Connections
Objectives:
Solve optimization problems.
Understand behaviors of implicit relations.
Connect all major derivative concepts.
Topics:
5.10 Intro to optimization
5.11 Solving optimization problems
5.12 Behavior of implicit relations
Practice Focus: Word problems; geometry optimization; final review.