Calculus 1 - UJ

Functions & Building Blocks (Ch. 1): Finding domain/range boundaries and manipulating composite or transcendental (log, exponential, trig) functions.Limits & Structural Continuity (Ch. 2): Evaluating structural behavior as values approach a specific point or infinity, and analyzing graph gaps using the Intermediate Value Theorem.The Mechanics of Differentiation (Ch. 3): Mastering derivative computation tools like the Chain Rule, Product/Quotient Rules, and Implicit Differentiation.Applications & Optimization (Ch. 4): Utilizing derivatives to pinpoint maxima/minima, solve complex limits via L’Hôpital’s Rule, and solve real-world optimization problems.Introduction to Integration (Ch. 5): Reversing the derivative process to calculate precise areas under curves using the Fundamental Theorem of Calculus and U-Substitution.