Unit 1 - Get introduced to the fundamentals of limits, the limits of rational and trigonometric functions, limits involving infinity, and continuity of piecewise functions:
Unit 2 - Develop an understanding of average and instantaneous rates of changes, the definition of a derivative, tangent and normal lines, graphs of derivatives, and differentiability.
Unit 3 - Strengthen derivative skills, apply constant and power rules, and learn about product rules, quotient rules, trig derivatives, derivatives of piecewise functions, and calculator derivatives.
Unit 4 - Learn about the fundamentals of the chain rule, the chain rule with trig functions, higher-order derivatives, and applied rates of changes.
Unit 5 - Get introduced to the fundamentals of implicit differentiation, tangent and normal lines, and related rates.
Unit 6 - Apply Rolle’s theorem and the Mean Value Theorem, the first and second derivative tests, and learn about local and absolute extrema.
Unit 7 - Learn about optimization and the application of minimizing and maximizing optimization.
Unit 8 - Develop fluency in the fundamentals of the derivatives of inverse functions, the derivatives of trig functions, and the derivatives of exponential and logarithmic functions.
Unit 9 - Apply the basic rules of integrals, integrals for polynomial and trig functions, integrals using the chain rule, and indefinite integrals.
