Introduction

AP Calculus BC explore the concepts, methods, and applications of differential and integral calculus, including topics such as parametric, polar, and vector functions, and series. Students will perform experiments and investigations and solve problems by applying your knowledge and skills.

Objectives
Systematize the core knowledge of the subject
Become familiar with most AP exam formats
Reduce pressure and study time
Improve scores effectively
Enhance independant thinking
Create a solid foundation for higher education
Characteristics
Quality teachers with extensive knowledge about students psychology
Teaching programs are based on international standards
Exclusive materials that closely follow the AP formats
Personalized teaching method according to student progress
Commitment on AP pass grade
AP exam registration support
Course content
Unit 1: Limits and Continuity
1.1 How limits help us to handle change at an instant
1.2 Definition and properties of limits in various representations
1.3 ..................................
Unit 2: Differentiation: Definition and Fundamental Properties
2.1 Defining the derivative of a function at a point and as a function
2.2 Connecting differentiability and continuity
2.3 ..................................
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
3.1 The chain rule for differentiating composite functions
3.2 Implicit differentiation
3.3 ..................................
Unit 4: Contextual Applications of Differentiation
4.1 Identifying relevant mathematical information in verbal representations of real-world problems involving rates of change
4.2 Applying understandings of differentiation to problems involving motion
4.3 ..................................
Unit 5: Analytical Applications of Differentiation
5.1 Mean Value Theorem and Extreme Value Theorem
5.2 Derivatives and properties of functions
5.3 ..................................
Unit 6: Integration and Accumulation of Change
6.1 Using definite integrals to determine accumulated change over an interval
6.2 Approximating integrals with Riemann Sums
6.3 ..................................
Unit 7: Differential Equations
7.1 Interpreting verbal descriptions of change as separable differential equations
7.2 Sketching slope fields and families of solution curves
7.3 ..................................
Unit 8: Applications of Integration
8.1 Determining the average value of a function using definite integrals
8.2 Modeling particle motion
8.3 ..................................
Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
9.1 Finding derivatives of parametric functions and vector-valued functions
9.2 Calculating the accumulation of change in length over an interval using a definite integral
9.3 ..................................
Unit 10: Infinite Sequences and Series
10.1 Applying limits to understand convergence of infinite series
10.2 Types of series: Geometric, harmonic, and p-series
10.3 ..................................

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IB Math AA HL

7/7

IB Physics HL

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IB Chemistry HL

7/7

IB Economics

6/7

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IB Math AA SL

6/7

IB Chemistry SL

6/7

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A Level Physics

B

A level Economics

A

Student's name

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A Level Math

A