Unit 1: Introduction to Limits
- I can evaluate limits involving infinity and find equations of asymptotes (1.1)
- I can define the basics of the limiting process and calculate limits algebraically or graphically (1.2)
- I can determine continuity by using limits and apply the Intermediate Value Theorem (1.3)
Unit 2: Introduction to Derivatives
- I can identify the derivative of a function using the limit definition (2.1)
- I can use derivatives to analyze properties of a function (2.2)
- I can use the derivative definition algebraically (2.3)
- I can interpret graphs of derivatives (2.4)
Unit 3: Introduction to Integrals
- I can interpret the meaning of a definite integral within a problem (3.1)
- I can calculate a definite integral using areas and properties (3.2)
- I can recognize antiderivatives of basic functions (3.3)
- I can evaluate a definite integral using algebra (Fundamental Theorem of Calculus) (3.4)
- I can apply definite integrals to problems involving the average value of a function (3.5)
Unit 4: Level 2 Derivative and Integral Work
- I can find the derivative of a product or a quotient of functions (4.1)
- I can use implicit differentiation to find derivatives (4.2)
- I can take derivatives and find integrals of trigonometric functions (4.3)
- I can find the derivative of an inverse trigonometric function (4.4)
- I can use higher order derivatives to analyze properties of a function (4.5)
- I can use the process of optimization to maximize or minimize a function (4.6)
Unit 5: Level 3 Derivative and Integral Work
- I can differentiate exponential and logarithmic functions (5.1)
- I can determine when to apply L’Hopital’s Rule (5.2)
- I can use implicit differentiation to find derivatives of inverse functions (5.3)
- I can analyze differential equations to obtain general and specific solutions (5.4)
- I can solve problems involving related rates (5.5)
Unit 6: Level 4 Derivative and Integral Work
- I can find the area between two or more functions (6.1)
- I can calculate the volume of a solid using cross-sections (6.2)
- I can calculate the volume of a solid using discs and washers (6.3)
- I can integrate by parts (6.4)**
- I can integrate by partial fractions (6.5)**
**Optional, covered if time allows**