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Welcome to Calculus4All!

Curriculum

CALCULUS

  • Limits
  • Taylor Series and Limits
  • L’Hospital’s Rule
  • Derivatives
  • Higher Derivatives
  • Linearization
  • Implicit Differentiation
  • Indefinite Integrals
  • Simple ODEs
  • Integration Techniques:
    • Substitution
    • Integration by Parts
    • Trig Integrals
    • Partial Fractions
    • Trig Substitution
  • Definite Integrals
  • Fundamental Theorem of Calculus
  • Improper Integrals
  • Area, Volume, Arc Length, Surface Area
  • Averages, Centroids, Center of Mass, Probability Applications
  • Sequences and Series
  • Convergence Tests: Root, Ratio, Integral, Comparison Tests
  • Absolute and Conditional Convergence

PRE-CALCULUS

  • Review of exponents, radicals, rational expressions, equations, inequalities, and coordinate geometry
  • Functions and their properties
  • Polynomial Functions
  • Rational Functions
  • Exponential Functions
  • Logarithmic Functions
  • Trigonometric Functions
  • Law of Sines, Law of Cosines
  • Analytic Trigonometry:
    • Double-angle
    • Half-angle
    • Sum-product formulas
  • Polar Coordinates and Vectors
  • Systems of Equations and Inequalities
  • Analytic Geometry
  • Sequences and Series
    • Arithmetic sequences
    • Geometric sequences
    • Binomial Theorem
  • Preview of Calculus: Limits

DISCRETE MATH

  • Introduction to Proof Techniques including proofs by contradiction, contrapositive, induction, and strong induction
  • Counting
  • Multiplication Rule
  • Permutations
  • Set Theory
  • Inclusion- Exclusion Formula
  • Combinations
  • Multi-sets
  • Combinatorial Proofs
  • Binomial Theorem
  • Pigeonhole Principle
  • Probability
  • Inclusion- Exclusion Formula for Probability
  • Conditional Probability
  • Random variables
  • Expectation and variance
  • Probabilistic Method
  • Introduction to Graphs
  • Relations and Functions

Teaching Style

01

Interactive Learning

Engage in live, interactive group lessons that encourage active participation and real-time problem-solving. Our approach ensures every student has the opportunity to ask questions and contribute to discussions.

02

Flexible Online Learning with Instructor

This is not a flipped-classroom! Attend classes from the comfort of your home with our live virtual sessions. Our online format provides flexibility and accessibility, with a real live tutor on call to guide you every step of the way.

03

Mastery Through Practice

We will work with you to create a personalized plan to help you achieve your financial goals.

Frequently Asked Questions

What is the format of Calculus4All lessons?

Our virtual group lessons are conducted via live video sessions, where a qualified instructor teaches a small group of students. These interactive classes ensure that each student can participate actively, ask questions, and engage with the material in real-time.

What makes the content of Calculus4All different from other online math resources

Calculus4All focuses on advanced content designed to help students master mathematical concepts beyond their school curriculum. Our lessons are structured to be thorough and digestible, ensuring students fully understand each topic before moving on to more complex material.

How much do the classes cost and how do I pay?

Each Calculus and Pre-calculus class costs $40 per hour while each discrete math class costs $60 per hour. You can pay for classes through Zelle. Payment is required in advance to reserve your spot in the class.

How are the lessons structured to ensure they are digestible for all students?

We break down complex topics into manageable sections and use a step-by-step approach to teaching. We incorporate plenty of examples and practice problems to reinforce understanding and ensure that students can follow along at a comfortable pace.

Can I join a class if I have a busy schedule?

Yes, we offer flexible scheduling for our virtual group lessons to accommodate students with busy schedules. You can choose from various time slots available throughout the week to find a class that fits your timetable. Additionally, we record our sessions so you can review them at your convenience if you miss a class.

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