First Year Calculus Videos

Explore a comprehensive series of videos covering essential First Year Calculus concepts, presented by experienced faculty members. Gain a thorough understanding of topics ranging from limits and differentiation to integration techniques through clear explanations and practical examples. Master key principles such as the Chain Rule, L'Hopital's Rule, and the Fundamental Theorem of Calculus. Delve into advanced integration methods including Integration by Parts, Trigonometric Substitutions, and Partial Fractions. Enhance your problem-solving skills with lessons on Related Rates, Concavity, and Improper Integrals. Perfect for students seeking to reinforce their calculus knowledge or those preparing for higher-level mathematics courses.

Syllabus

The Limit of a Function.
Basic Differentiation Rules.
The Chain Rule.
Implicit Differentiation and Logarithms.
Related Rates.
L'Hopital's Rule.
Concavity and Inflection Points.
Antiderivatives and Indefinite Integrals.
The Definite Integral and Riemann Sums.
The Fundamental Theorem of Calculus.
The Substitution Method.
Calculating Areas.
Integration By Parts.
Improper Integrals Bounded Intervals.
Trigonometric Substitutions.
Integration by Partial Fractions.