Introduction

AP Calculus AB explore the concepts, methods, and applications of differential and integral calculus. Students will work to understand the theoretical basis and solve problems by applying their 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
2.1 Properties
2.2 Defining the derivative of a function at a point and as a function
2.3 ..................................
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
3.1 Identifying relevant mathematical information in verbal representations of real-world problems involving rates of change
3.2 Applying understandings of differentiation to problems involving motion
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 using 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 ..................................

Student achievement

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