AP Curriculum

# AP - Calculus BC

##### OUR PROGRAMS INCLUDE
###### Description

AP Calculus BC is roughly equivalent to a first and second semester college calculus course and extends the content learned in AB to in different types of equations and introduces the topic of sequence and series. The AP course covers topics in these areas, including concepts and skills of l imits, derivatives, definite integrals, and the Fundamental Theorem of Calculus
Each student is assigned to a Stutorialz Tutor to help them during their course.

This course is a blend of Live one on one session with the Tutor and Online Self study. Students have up to two live sessions per week with the instructor at preschedule time that works best for the student. Students actively engage with the lectures, interact with online resources, and solve practice tests at the end of each chapter. Computer based interactives and assignments help to reinforce concepts taught in the course. Students/parents can review the progress and access the learning through graded assessments, which include chapter quiz, midterm exams, and a cumulative final

1. Functions and Graphs
1. What is a Function?
2. Graphs of Functions
3. Domain, Range, and Zeros
4. Identify the domain and range of a function using its graph or equation
5. Recognize even and odd functions using equations and graphs
2. Basic Functions and Transformations
1. Addition – Shifting functions up and left
2. Subtraction – Shifting functions down or right
3. Multiplication – Stretching or compressing functions
3. Linear Functions and Mathematical Modeling
1. Write the point-slope equation
2. Mathematical models - regressions
4. Exponential Functions
1. Growth and decay functions
2. Fitting an exponential model to data
3. Modeling radioactive decay
5. Compound Interest and the Number
1. Compounding interest formula
2. Continuous compounding formula
6. Inverse Functions
1. Horizontal and vertical Line tests
2. One-To-One functions
7. Logarithms
1. Logarithmic functions
2. Domain and range of logarithmic functions
3. Properties of logarithms
4. Changing the base for logarithmic functions
8. Combining Functions: Polynomial and Rational Functions
1. Evaluating functions/writing formulas for functions
2. Polynomial functions/domain, range, zeros
3. Graphing polynomial functions/odd and even functions
9. Composition of Functions
1. Composites – Inner/outer functions
2. Composition of inverse functions
10. Trigonometric Functions
1. Graphs of sine/cosine, period, amplitude, shifts
2. Unit circle and special triangles
3. Tangent, cotangent, secant, cosecant (as ratios)
4. Trigonometric identities
• Chapter 1 – Limits and Continuity
• Chapter 2 – The Derivative
• Chapter 3 – Derivatives of Trigonometric Functions and Other Rules
• Chapter 4 – Implicit Differentiation and Other Differentiation Rules
• Chapter 5 – Graphs of Functions and Their Derivatives
• Chapter 6 – Applications of the Derivative
• Chapter 7 – The Integral
• Chapter 8 – Methods of Integration
• Chapter 9 – First Order Differential Equations
• Chapter 10 – Applications of the Definite Integral
• Chapter 11 – Sequences
• Chapter 12 – Infinite Series
• Chapter 13 – First Order Differential Equations

## Plan B :Balanced: For Students who want to stay a Touch Ahead

Duration
09 Months
Live Session
02 per week

45

45

45

45
• #### Reviews

45

Weekly Commitment - 90 mins

## Plan C :Classroom: Designed to pace with your school curriculum

Duration
09 Months
Live Session
01 per week

45

45

60
• #### Reviews

30

Weekly Commitment - 60 mins