Calculus I Notes
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Overview
Welcome to my calc notes! I took this course in the fall of '25. I really liked my teacher, it's rare I encounter a math teacher that explains things in a way I can really understand. As with my other course notes, I put an emphasis on the understanding of the conceptual "why" behind a lot the topics covered.
The course was broken up into four sections;
1 - Derivatives
2 - Limits
3 - Derivatives as Limits
4 - Integrals
Keyword search the page to navigate to a specific topic.
Table of Contents
Derivitives as Slope
Conceptually Understanding the Derivative
Trigonometry in Calculus
Evaluating Derivatives with Product & Quotient Rules
Evaluating Derivatives with Chain Rule
Multi-Step Derivative Functions
Graphing Limits & Conceptual Overview
Graphing Continuity with Limits
Computing Bi-Directional Limits of polynomial Functions
Evaluating Bi-Directioanl Limits of Non-Special Case Rational Functions
Evaluating Bi-Directioanl Limits of Special Case Rational Functions
Piecewise Functions & Function Transformations
Limits Comprehensive Exam Review
Retrospective Review of Limits Conceptually
Conceptual Overview Limits & Derivatives
Using L'Hopital's Rule for Limits of Rational Expressions
Useful Derivative Identitites
On Implicit Differentiation
Limits & Derivatives Review Guide
On Logarithmic Differentiation
Solving for Relative Extrema
Properties of Graphs Algabraic Review
Identifying Properties of Graphs Given Derivative
Higher-Order Derivatives & Graphical Relation
Intro to Indefinate Integrals
On Sigma Notation
The Reimann Sum
Useful Antiderivative Identitites
Intro to Definate Integrals
Overview The Fundamental Theorem of Calculus
An Analysis of The Fundamental Theorem of Calculus Part 1
