2.1 The tangent and velocity problems
2.2 The limit of a function
2.3 Calculating limits using the limit laws
2.4 The precise definition of a limit
2.5 Continuity
2.6 Limits at infinity; horizontal asymptotes
2.7 Derivatives and rates of change
2.8 The derivative as a function
3.1 Derivatives of polynomials and exponential functions
3.2 The Product and Quotient Rules
3.3 Derivatives of trigonometric functions
3.4 The Chain Rule
3.5 Implicit differentiation
3.6 Derivatives of logarithmic functions
3.7 Rates of change in the natural and social sciences
3.8 Exponential growth and decay
3.9 Related rates **
3.10 Linear approximations and differentials
4.1 Maximum and minimum values
4.2 The Mean Value Theorem
4.3 How derivatives affect the shape of a graph
4.4 Indeterminate forms and L’Hospital’s Rule
4.7 Optimization problems
4.8 Newton’s Method **
4.9 Antiderivatives
5.1 Areas and distances
5.2 The definite integral and Riemann sums
Starred topics will be omitted if time is lost from emergency campus closing.