Calculus A is the first course in the calculus sequence at the University of Notre Dame. It covers fundamental concepts of differential and integral calculus, focusing on understanding limits, derivatives, and the basics of integration.

Key Topics Include:

• Functions and Precalculus Foundations: Algebra and function review, exponential and logarithmic functions, and core equation-solving skills used throughout the course.
• Limits and Continuity: Limits from graphs, tables, and algebraic manipulation; continuity; and interpreting/handling discontinuities (including piecewise functions).
• Differentiation: The derivative as a rate of change and slope; differentiation rules (power, product, quotient, chain); derivatives of exponential, logarithmic, and trigonometric functions; and implicit differentiation.
• Applications of Derivatives: Related rates, linearization and percent error, optimization (including closed/bounded intervals), and core theorems (Mean Value Theorem, L’Hôpital’s Rule, first/second derivative tests, and curve sketching).
• Introductory Integration: Antiderivatives, Riemann sums, the Fundamental Theorem of Calculus, and u-substitution.

Exit Tickets: Exit Tickets

For those attending my Calculus 1/A Tutorial in Spring '26, here is a link to a google drive with all of the tutorial worksheet and quiz keys. Please feel free to use the notes below as additional resources even though they do not line up with the lectures perfectly. view keys