Math 230
From derivatives and integrals to infinite sequences and series, start here to get the lecture notes you need for Math 230. Our five-minute videos offer visual guides to concepts covered in your homework. We also encourage you to visit the Mathematics Assistance Center for in-person tutoring in Math 230. Browse our tutoring schedule and stop by DuSable Hall, room 326, to get help in Math 230 from our friendly tutoring staff.
Practice Exams and Final
- Fall 2013. (PDF)
- Solution. (PDF)
- Spring 2014. (PDF)
- Solution. (PDF)
- Fall 2008. (PDF)
- Spring 2012. (PDF)
- Solution. (PDF)
- Fall 2008. (PDF)
- Spring 2009. (PDF)
- Solution.(PDF)
- Review. (PDF)
- Solution. (PDF)
- Spring 2008. (PDF)
- Spring 2010. (PDF)
- Spring 2011. (PDF)
- Spring 2012. (PDF)
Lecture Notes
- Derivatives and integrals. (PDF)
- Integration techniques. (PDF)
- Summary of solids of revolution formulas. (PDF)
- Convergence tests. (PDF)
- Summary of all of calculus II. (PDF)
- Area between curves, graphing functions in terms of y. (PDF)
- Volumes of solids of revolution, method of washers. (PDF)
- Volumes of solids of revolution, methods of cylindrical shells, summary. (PDF)
- Summary of solids of revolution formulas. (PDF)
- Arc length. (PDF)
- Surface area of a solid of revolution. (PDF)
- Inverse functions, derivative of inverse function theorem. (PDF)
- The natural log function, logarithmic differentiation. (PDF)
- The natural exponential function and its derivative. (PDF)
- General log and exponential functions - derivatives and integrals. (PDF)
- Derivatives and integrals involving inverse trig functions. (PDF)
- Indeterminate forms and L'Hopital's rule. (PDF)
- Integration by parts. (PDF)
- Trig integrals - powers of trig functions. (PDF)
- Trig substitution. (PDF)
- Integration of rational functions by partial fractions. (PDF)
- Updated review of integrals and techniques. (PDF)
- Approximate integration - left-hand, right-hand, midpoint, trapezoidal and Simpson's method. (PDF)
- Improper integrals. (PDF)
- Sequences.
- Infinite series, geometric series and telescoping series. (PDF)
- Integral test, p-series and estimates of sums. (PDF)
- The comparison tests. (PDF)
- Alternating series and estimates of sums. (PDF)
- Absolute and conditional convergence, ratio and root tests. (PDF)
- Strategy for testing series, summary of convergence tests. (PDF)
- Power series. (PDF)
- Representations of functions as a power series. (PDF)
- Taylor and Maclaurin series. (PDF)
Contact
Brian VeitchInstructor
Director of Mathematics Assistance Center
815-753-6755
bveitch@niu.edu
