A-Level Courses

A-Level Further Math

A-Level Further Math is an advanced level course that extends the mathematical knowledge and skills acquired in A-Level Math.

90%

of students score

A and above

78%

students get a top score of

A* in

A-Level Further Math

80%

students showed exceptional
performance in their first semester of

A-Level Further Math

Course Concept

A-Level Further Mathematics is an advanced level course that extends the mathematical knowledge and skills acquired in A-Level Mathematics. It is designed for students who have a strong interest and aptitude for mathematics and wish to pursue further studies in mathematics, engineering, or other mathematically intensive disciplines. It is divided in:

  • Pure Mathematics: The pure mathematics component builds upon the topics covered in A-Level Mathematics but explores them in greater depth and introduces more advanced concepts. Topics may include complex numbers, matrices, differential equations, numerical methods, further calculus, and proof techniques. Students develop a deeper understanding of mathematical concepts and their applications.
  • Mechanics: The mechanics component delves into advanced concepts and techniques in the study of forces and motion. It covers topics such as kinematics, Newton's laws of motion, energy and work, moments, and fluid mechanics. Students develop advanced problem-solving skills and learn to apply mathematical principles to analyze complex mechanical systems.
  • Statistics: The statistics component extends the study of statistical techniques and data analysis. It covers topics such as probability distributions, hypothesis testing, estimation, regression analysis, and statistical modeling. Students learn advanced statistical methods and techniques for analyzing and interpreting complex datasets.
  • Discrete Mathematics: The discrete mathematics component introduces students to the study of mathematical structures and relationships that are not continuous. It covers topics such as combinatorics, graph theory, algorithms, and number theory. Students develop skills in analyzing discrete mathematical problems and applying algorithms to solve them.

A-Level Further Math

Course Details:

Dedicated Test Prep Manager to Oversee Your Program

Test Reports

Personalized Assignments

200000

+ GST

/

$

2500

SET UP A TRIAL

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 PDF
1. Further Pure Mathematics 1 Paper 1
  • Roots Of Polynomial Equations
  • Rational Functions And Graphs
  • Summation Of Series
  • Matrices
  • Polar Coordinates
  • Vectors
  • Proof By Induction
2. Further Pure Mathematics 2 Paper 2
  • Hyperbolic Functions
  • Matrices
  • Differentiation
  • Integration
  • Complex Numbers
  • Differential Equations
3. Further Mechanics Paper 3
  • Motion Of A Projectile
  • Equilibrium Of A Rigid Body
  • Circular Motion
  • Hooke’s Law
  • Linear Motion Under A Variable Force
  • Momentum
4. Further Probability & Statistics Paper 4
  • Continuous Random Variables
  • Inference Using Normal And T-Distributions
  • T-Tests
  • Non-Parametric Tests
  • Probability Generating Functions

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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.

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.

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.

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

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
  • a subject specialist that will convey essential concepts in a clear and easily understandable manner
  • a teacher who is 99th percentile scorer in the subject he or she teaches

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

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
  • 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
  • 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

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

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

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

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FAQs

Frequently Asked Questions

Read some of the most commonly asked questions by parents and students
  • Who are the AP Guru tutors?
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    We have hand-selected a small group of highly qualified tutors who have mastery over teaching and helping students in the programs they teach. Our tutors also need to have significant previous teaching experience and be very gifted, dynamic teachers.

  • Where are your Programs held?
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    We conduct our programs online.

    Is this a live class? Will it be a group or private class?
    All our classes are live instructor lead classes. All our academic tutoring are only one-on-one.

  • Is this a live class? Will it be a group or private class?
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    All our classes are live instructor lead classes. All our academic tutoring are only one-on-one.

  • When is the best time to get started?
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    The earlier the better! When students come to us right before it is time to apply to college, there is only so much we can do. We can certainly help these students with score improvements and craft as compelling an application as possible, but we are given experiences and data points that cannot be altered.

    When students come to us early in their educational careers, we pair them with a counselor to help them develop as applicants, students, and people early on. We help students strategize early, build their profiles, and stand out from their peers. We help students explore and develop their academic interests, engage in unique and meaningful extracurricular activities, strengthen their personal qualities and leadership skills, and ultimately, position them to get into the best schools possible.

    It takes A LOT of hard work, strategy, determination, and self-reflection to get into the school of your dreams. At AP Guru, we are here, every step of the way, to help you get there.

  • Do test prep courses work?
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    Yes! Standardized tests focus on a small, unique set of skills and topics. By knowing exactly what types of questions are on the test, a student gains a distinct advantage. Furthermore, a great tutoring company can build on this advantage by providing a highly individualized learning experience and a wealth of fantastic strategies for all types of students.  We have the evidence from thousands of students across 10+ years that great improvement is possible for nearly everyone.

  • Do you only help students who want to go to top schools?
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    No. We know that each student is different and has unique goals and aspirations. Our focus is to help each student excel in the tests and exams they are preparing towards.

  • What kind of results should I expect?
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    In terms of academic scores, for students not already at the top of the range, we typically want to see at least a 20 percentile rank improvement (the actual raw score this translates to varies across the scale). Going from the 50th to 70th percentile or from the 70th to 90th typically opens up a whole new range of schools for students.