AP Pre-Calculus
AP Pre-Calculus prepares students for advanced mathematical concepts they will encounter in college-level calculus
90%
of students score 6 and above
78%
students get a top score of 7 in
AP Courses
80%
students showed exceptional
performance in their first semester of
AP Courses
Course Concept
AP Pre-Calculus is a high school course designed to prepare students for the study of advanced mathematical concepts and topics. It serves as a bridge between algebra, geometry, and calculus, providing students with a solid foundation in mathematical skills and problem-solving strategies. It is divided in:
- Functions and Graphs: Students learn about different types of functions, including linear, quadratic, polynomial, rational, exponential, and logarithmic functions. They study the behavior and properties of functions, such as domain, range, symmetry, and transformations. Students also explore the graphical representations of functions and analyze their characteristics.
- Trigonometry: The course introduces students to trigonometric functions, identities, and equations. They learn how to solve triangles, apply trigonometric functions to real-world problems, and understand the relationships between angles and trigonometric ratios.
- Algebraic Manipulations: Students develop their algebraic skills and learn techniques for simplifying and manipulating algebraic expressions. They study topics such as factoring, rational expressions, complex numbers, and solving equations and inequalities.
- Sequences and Series: Students explore arithmetic and geometric sequences and series. They learn how to find the terms of a sequence, calculate the sums of series, and apply mathematical formulas to solve related problems.
- Probability and Statistics: The course introduces basic concepts of probability and statistics. Students learn about counting techniques, probability calculations, data analysis, and descriptive statistics.
- Problem Solving: AP Pre-Calculus emphasizes problem-solving skills and strategies. Students engage in solving complex mathematical problems, applying multiple concepts and techniques to find solutions. They develop critical thinking, analytical reasoning, and mathematical modeling skills.
AP Pre-Calculus
Course Details:
.webp){kind=small}
Dedicated Test Prep Manager to Oversee Your Program
Physical & Digital Copies of the AP Guru Strategy Guides & Classroom Books
Test Reports With Detailed Analytics
Personalized Lesson Notes And Assignments
₹
150000
+ GST
/
$
1850
Syllabus
Best-in-class content by leading faculty and industry leaders in the form of videos, cases and projects, assignments and live sessions
COURSE SYLLABUS PDF18
Months
108
Assignments
18
Live Sessions
2
Hours
.svg){kind=small}
1
Assignment
- Real Numbers , Variables and Exponents
- Solving Linear Equations
- Solving Linear Inequalities
- Operations with Polynomials
- Factoring Polynomials
- Factoring Quadratic Trinomials
- Special Products and Factoring Patterns
1
Hours
1
Assignment
- Periodic Functions and Their Graphs
- Graphing Trigonometric Functions
- Transformation of Trigonometric Functions
- Inverse Trigonometric Functions
2
Hours
1
Assignment
- Pythagorean Trigonometric Identities
- Solving Trigonometric Equations
- Sum and Difference Identities
- Double - Angle Identities
- Half -Angle Identities
1
Hours
1
Assignment
- The Area of a Triangle
- The Law of Sines
- The Law of Cosines
1
Hours
1
Assignment
- Parametric Equations
- The Polar Coordinate system
- The Polar form of Complex Numbers
- Powers and Roots of Complex Numbers
2
Hours
1
Assignment
- The Parabola
- The Ellipse
- The Hyperbola
- General Equations of Conics
- Polar Equations of Conics
2
Hours
1
Assignment
- Arithmetic Sequences and Series
- Geometry Sequences and Series
- Generalized Sequences
- Mathematical Induction
- Permutations and Combinations
- The Binomial Theorem
2
Hours
1
Assignment
- Limits of Functions
- Slope of a Tangent Line
- Rules for Finding Derivatives
- Finding Antiderivatives
- Integration and Area Under a Curve
2
Hours
1
Assignment
- Operations with Rational Expressions
- Simplifying Complex Fractions
- Radicals and Fractional Exponents
- Operations with Radicals
2
Hours
1
Assignment
- Graphing Points and Linear Equations
- Midpoint and Distance Formulae
- The Slope of a Line
- Graphing a Linear Equation
- Writing Equations of lines
- Solving Linear Systems Graphically
- Solving Linear System Algebraically
3
Hours
1
Assignment
- Functions Concepts
- Quadratic Functions and Their Graphs
- Solving Quadratic Equations
- Applying Quadratic Equations
- Solving Quadratic Inequalities
5
Hours
1
Assignment
- Functions Concepts
- Multiplying and Dividing Complex Numbers
- Completing the Square
- The Quadratic Formula
2
Hours
1
Assignment
- AbsoluteValue Equations and Inequalities
- Transformation of Graphs
- Special functions and Their Graphs
- Radical Equations
- Graphing Rational Functions
- Rational Equations and Inequalities
4
Hours
1
Assignment
- One Dimensional Arrays
- Initialization
- Length Of array
- Traversing a One- Dimensional Array
- Arrays as Parameters
- Array Variable Parameters
- Array of Class Objects
- Analyzing Array Algorithms
- Array Lists
- The Arraylist Class
- The Methods Of Arraylist <E>
- Autoboxing And Unboxing
- Using Arraylist <E>
- Two Dimensional Arrays
- Declarations
- Matrix as Array of Row Arrays
- Two - Dimensional Array as parameter
1
Hours
1
Assignment
- Divisions of Polynomial
- Zeros of Polynomial functions
- Solving Polynomial Functions
- Graphing Polynomial Functions
- Decomposing Rational Expression
1
Hours
1
Assignment
- Inverse Functions
- The Exponential Functions
- The Logarithmic Functions
- Logarithmic Laws and Equations
- Exponential and Logarithmic Models
1
Hours
1
Assignment
- Degree and Radian Measures
- Right- Triangle Trigonometry
- The General Angle
- Working with Trigonometric Functions
- Trigonometric Functions of Special Functions
Top colleges from over the globe
Our Students have been accepted at
Faculty & Industry Instructors
Explore our Learning Platform
Learn on an AI-powered & personalised platform with best-in-class content, live sessions & mentoring from leading industry experts.
Experienced Tutors
Our team of teachers boasts the top 1% scores for the sections they teach.
All of our teachers have demonstrated an exceptional ability to convey material in a fun, personalized, and results-driven way.
.png)
One-on-One Learning
AP Guru offers highly customised and personalised SAT Prep delivered live online.
Our programs are one-on-one to ensure each student receives personalized attention.
.png)
Amazing Curriculum
Our curriculum includes strategy guides, classroom books, homework sets, and full-length tests.
Our curriculum is written by our tutors and founders based on their years of teaching experience.
.webp)
Mentoring & Support
All of our students are paired with an experienced mentor to guide a student through his or her prep.
Our mentors are someone students can always talk to about anything related to their SAT Prep.
The AP Guru Advantage
%20(1).png)
Private Tutoring
AP Guru specializes in one-on-one teaching, empowering students with online personalized exam prep
With AP Guru, each student gets...
- their instructor’s undivided attention and a guided exploration of their subject with both theory and applications taught live in class.
- expert guidance at every step that involves interactive sessions, class notes, worksheets, class recordings, and access to past papers.
- specialist subject tutors who have graduated from top universities with a passion for teaching and a dedicated program manager to track your progress.
Experienced Tutors
Our team of teachers boast top 1% scores for the subjects they teach. All of our teachers have demonstrated an exceptional ability to convey material in a fun, personalized, and results-driven way.
With AP Guru, each student gets...
- an experienced and certified online tutor
- This subject specialist will convey essential concepts in a clear and easily understandable manner
- 99th percentile scorer in the subject he or she teaches
.png)
Graded Assessments
Between each class, you'll get personalized assignments so you master what you learned
With AP Guru, you will get...
- Topic-wise worksheets and graded assessments (with marking schemes) to ensure mastery of each topic tested on the school exams
- Doubt sessions after every couple of classes to review incorrect questions
- Additional worksheets on topic areas of concern
School-Aligned Curriculum
Our comprehensive curriculum is school-aligned and follows the structure of the International Specification (Edexcel / CIE / AQA / OCR) in order to ensure improvement on both internal tests and external exams.
Our curriculum includes...
- A conceptual foundation of the subject with the help of the latest textbooks, revision guides and workbooks
- Special focus on school assignments and projects
- Class notes to help you recall concepts tested on the exam
Practice Papers
Practice for the exam with our library of Topic-wise Tests and Past Papers.
With AP Guru, you will get...
- detailed progress reports with feedback and suggestions for improvement
- video recordings and study materials for easy revision
- full-length mock papers, graded as per the grade boundaries and marking schemes.
Mentoring & Support
At AP Guru, we pair you with an experienced mentor to guide you through the exam prep process.
With AP Guru, you will get...
- a Program Manager to help you at every step
- dedicated support to resolve doubts, convenient class schedules and reminders for important sessions
- Parents Teacher Meetings - We set up monthly parent teacher meetings for your to interact with the tutors
Grade Improvement: Exam Ready
The AP Guru course ensures that each student is exam ready regardless of the initial academic level at which they stand.
Exam Ready
- Track your progress including topic, class and homework discussion
- 10 Months of exhaustive exam prep to get you ready (IGCSE/ Edexcel / CIE / AQA / OCR)
- Last 2 months of Exam Improvement Pointers and Strategies for writing high-scoring answers.
One-to-One Classes
AP Guru offers highly customised and personalised SAT Prep delivered live online
.png)
Experienced Tutor
You will be paired with an experienced English and an experienced Math Tutor
Targeted Assessments
Between each class, you'll get personalized assignments so you master what you learned
.png)
Test Prep Manager
All of our students are paired with an experienced mentor to guide the student through his or her prep
Doubt Classes
We will conduct regular one-on-one feedback and doubt classes to go through your errors in mock tests and weekly assessments
Mock Tests
We offer more than 30 full length tests for our programs to our students with detailed explanations.
Test Analytics
For each test you take, you will receive detailed reports of your performance as well as question explanations
Study Plan
The program manager will set test schedules, create reminders, set up doubt sessions, etc.
Strategy Guides
Our AP Guru SAT Strategy Guides cover every concept and strategy tested on the SAT
.png)
Weekly Progress Reports
Our curriculum is written by our tutors and founders based on their years of teaching experience.
Web Portal
The AP Guru online portal contain 100+ hours of SAT content - detailed lesson notes, and additional practice
Parent Teacher Meetings
Parents Teacher Meeting - We set up monthly parent teacher meetings for your to interact with the tutors
Admission Process
Complete Application
Step 1 of the APGuru process is the application phase. We'll ask for basic information such as your name, contact details, current educational level, and your specific goals or challenges. Once you've filled out the application, your application will be promptly reviewed by our admissions team.
Take a Trial Class
Step 2 is the trial class, where applicants receive an invitation to experience our teaching methods and interact with instructors. During this session, students engage in discussions, ask questions, and evaluate whether APGuru aligns with their learning preferences and goals, helping them make an informed decision.
Join AP Guru
Step 3 involves officially joining the program after a successful trial class. Students confirm their enrollment, select their desired course or program, and gain access to comprehensive study resources. They begin attending regular classes, receiving guidance from experienced instructors making progress towards academic excellence.
Complete Application
Step 1 of the APGuru process is the application phase. We'll ask for basic information such as your name, contact details, current educational level, and your specific goals or challenges. Once you've filled out the application, click the submit button. Your application will be promptly reviewed by our admissions team.
Take a Trial Class
Step 2 is the trial class, where applicants receive an invitation to experience our teaching methods and interact with instructors. During this session, students engage in discussions, ask questions, and evaluate whether APGuru aligns with their learning preferences and goals, helping them make an informed decision.
Join AP Guru
Step 3 of the APGuru process involves officially joining the program after a successful trial class. Students confirm their enrollment, select their desired course or program, and gain access to comprehensive study resources. They begin attending regular classes, receiving guidance from experienced instructors, and tracking their progress towards academic excellence.
Here’s What AP Guru’s Alumni Say
You May Also Like
AP English Literature and Composition
AP English Literature and Composition focuses on the critical analysis of literary works from different time periods.
.png){kind=icon}
AP English Language and Composition
AP English Language and Composition focuses on developing students' skills in critical reading and writing.
AP Human Geography
AP Human Geography explores what shapes human populations and cultures around the world.
AP American History
AP United States History explores the history of the United States from pre-Columbian times to the present.
AP World History (Modern)
AP World History (Modern) covers the history of the world from 1200 CE to the present day
AP Physics 2: Algebra
AP Physics 2: Algebra is a continuation of AP Physics 1, covering additional topics in physics
AP Physics 1: Algebra
AP Physics 1: Algebra focuses on developing students' understanding of key physics principles using algebraic methods.
.png){kind=icon}
AP Pre-Calculus
AP Pre-Calculus prepares students for advanced mathematical concepts they will encounter in college-level calculus
AP Calculus BC
AP Calculus BC covers topics such as limits and continuity, Infinite Series and Power Series
.png){kind=icon}
.png){kind=icon}
AP Physics C
AP Physics C is an advanced placement course that covers both Mechanics and Electricity & Magnetism.
AP Statistics
AP Statistics is a high school-level course that introduces students to the principles and methods of statistics.
AP Environmental Science
AP Environmental Science explores the scientific principles related to environmental science.
AP Psychology
AP Psychology introduces students to the principles, theories, and methods of psychology.
AP Chemistry
AP Chemistry is a college-level course that introduces students to the principles and concepts of chemistry.
AP Computer Science A
AP Computer Science A introduces students to the fundamentals of computer science and programming.
AP Biology
AP Biology is an advanced placement course that covers a wide range of topics in biology.
AP MicroEconomics
AP Microeconomics introduces students to the principles and concepts of microeconomics.
AP MacroEconomics
AP Macroeconomics introduces students to the principles and concepts of macroeconomics.
You May Also Like
AP English Language and Composition
AP English Language and Composition focuses on developing students' skills in critical reading and writing.
Learn MoreAP World History (Modern)
AP World History (Modern) covers the history of the world from 1200 CE to the present day
Learn MoreAP Psychology
AP Psychology introduces students to the principles, theories, and methods of psychology.
Learn MoreAP Physics 1: Algebra
AP Physics 1: Algebra focuses on developing students' understanding of key physics principles using algebraic methods.
Learn MoreAP MicroEconomics
AP Microeconomics introduces students to the principles and concepts of microeconomics.
Learn MoreAP American History
AP United States History explores the history of the United States from pre-Columbian times to the present.
Learn More
