Complete Math Course: From Functions To Calculus & Ai

Master algebra, functions, calculus & how math powers AI — perfect for high school, STEM, and college prep.

What you'll learn

Analyze and interpret the properties of fundamental functions

Master the principles of differentiation

Develop a strong understanding of integration techniques

Apply core mathematical concepts

Grasp the mathematical foundations of key Artificial Intelligence concepts

Requirements

Basic mathematical knowledge equivalent to a 7th-grade

Description

Unlock the power of mathematics — for adult learners ready to deepen their understanding or support others.This comprehensive course walks you step-by-step through algebra, functions, limits, derivatives, and integrals — explained clearly and intuitively.Whether you're revisiting core concepts for career advancement, preparing to study STEM at university as an adult, or supporting a learner in your care, this course is for you.But we go further: you’ll also discover how these mathematical foundations are used in Artificial Intelligence systems like ChatGPT and machine learning models — making your learning truly future-ready.What You’ll LearnUnderstand algebraic expressions, equations, and inequalitiesMaster functions and their graphsExplore limits and continuityLearn derivatives and their real-world applicationsIntegrate functions and solve area problemsSee how calculus underpins AI and machine learningWho This Course Is For:Adult learners preparing for higher education or refreshing their math skillsAdults supporting others in learning foundational math (e.g., as tutors, mentors, or caregivers)Teachers seeking a structured, clear review of key math topicsCurious individuals interested in how mathematics powers today’s AIAnyone who struggled with math in the past and wants a second chance — now, as an adult learnerWhat’s IncludedClear video lessonsQuizzes and exercises to reinforce learningDownloadable PDFs for notes and practiceReal-life examples, including AI-related topicsLifetime access and certificate of completionStart learning today and see how math isn’t just numbers — it’s a language for understanding the world (and building the future).

Overview

Section 1: Algebra Essentials

Lecture 1 Scope Function & Scope Factor

Lecture 2 Quadratic Functions

Lecture 3 Division Algorithm for Polynomials & Ruffini's Rule

Lecture 4 Square Root Function

Section 2: Trigonometric Functions

Lecture 5 Introduction

Lecture 6 Trigonometric Functions

Lecture 7 Trigonometric Relations

Lecture 8 Radians vs Degrees

Lecture 9 Trigonometric Identities I

Lecture 10 Trigonometric Identities II

Section 3: Limits and Logarithms

Lecture 11 The Complex Plane

Lecture 12 What are Limits ?

Lecture 13 Solving limits I

Lecture 14 Solving limits II

Lecture 15 Compound Interest & Neper Number

Lecture 16 Natural Logarithm

Lecture 17 Logarithms in Real Life

Lecture 18 Logarithms

Section 4: Derivatives

Lecture 19 Introduction

Lecture 20 Derivatives of Polynomials

Lecture 21 Derivatives of Trigonometric Functions

Lecture 22 Derivative of a Product

Lecture 23 Derivatives of Exponential and ln Functions

Lecture 24 Derivative of a Quotient

Section 5: Optimization Algorithm behind AI

Lecture 25 Introduction to 3D Functions

Lecture 26 Partial Derivatives

Lecture 27 Optimization Algorithm behind AI

Section 6: Integrals

Lecture 28 Introduction

Lecture 29 Integrals of Poynomials

Lecture 30 Integrals of Trigonometric Functions

Lecture 31 Integration By Parts

Lecture 32 Integral of ln(g(x))

Lecture 33 Integral of ln(x)/x

Lecture 34 Integral of ln(x^2+1)

Lecture 35 Integral of Logarithm with base "a"

Section 7: Hyperbolic Functions

Lecture 36 Hyperbolic Functions

Lecture 37 Derivatives of Hyperbolic Functions

Lecture 38 Integrals of Hyperbolic Functions

University students looking to strengthen their math foundations,Adult learners seeking to revisit and better understand key math concepts,Professionals who want to refresh their math skills for personal or career growth,Curious minds and lifelong learners interested in intuitive, engaging math learning,Anyone preparing for technical interviews, assessments, or further studies