California State University - Northridge

By diligently practicing the three cases for HA/SA and always factoring to check for VAs or holes, you will master this section of Math 150A and be well-prepared for exam questions involving limits and curve sketching. Good luck!

Key Takeaway (The FTC): The two great ideas of Calculus, differentiation (rates) and integration (accumulation), are inverse operations. You differentiate to find the rate of change; you integrate the rate of change to find the total accumulation.

This section focuses on approximating the cumulative effect using geometry. Show your work, including the calculation for Δx and the summation formula.

Mastering the conceptual understanding of the Riemann Sum, the computational power of the FTC, and the careful distinction between net change and total accumulation are the cornerstones of success in Math 150A. This entire framework is dedicated to describing and calculating the cumulative effect of a dynamic process.

Calculus I: Trigonometric Functions & Applications Study Notes

Concepts, Definitions, and Calculations

Concepts, Definitions, and Calculations

This section focuses on techniques for solving function image problems, specifically using parity (odd/even properties), special values, and limits.

Trigonometric identities are the "language" that translates complex trigonometric expressions into forms manageable for calculus. Below are the key identities, their derivations, and their specific uses in Math 150A.

This section focuses on techniques for solving function image problems, specifically using parity (odd/even properties), special values, and limits.