All coursesUC Santa Cruz Tutoring
MATH 19A / 19B: Calculus Tutoring
Limits and derivatives in 19A. Integration, sequences, and series in 19B.
What we cover
- 19A: limits, continuity, tangents, and instantaneous rates of change
- 19A: derivatives, the chain rule, implicit differentiation, higher derivatives
- 19A: exponential and inverse functions and their derivatives
- 19A: the mean value theorem, monotonic functions, concavity, inflection points
- 19A: applied maximum and minimum problems
- 19B: the definite integral and the fundamental theorem of calculus
- 19B: areas, volumes, integration by parts, trigonometric substitution, partial fractions
- 19B: improper integrals
- 19B: sequences, series, absolute convergence, and convergence tests
- 19B: power series, Taylor and Maclaurin series
Common sticking points
- Setting up related rates and optimization problems
- Choosing an integration technique
- Convergence tests for series in 19B
- Algebra and trigonometry gaps carried in from earlier courses
Bring the assignment or problem set you are working on and we will go through it together.