Math 232
Whether you need a derivative and integral cheat sheet or you need to review vector fields for an exam, we have the lecture notes you need to succeed in Math 232. Our five-minute videos provide the visual help you're seeking to solve a variety of equations. Our tutors in the Mathematics Assistance Center in DuSable Hall, room 326, also look forward to seeing you soon. Check our tutoring schedule to find a time that works for you.
Practice Exams and Final
- Final exam practice. (PDF)
- Solution. (PDF)
- Spring 2008. (PDF)
- Fall 2010. (PDF)
- Fall 2008. (PDF)
- Spring 2007. (PDF)
- Spring 2006. (PDF)
- Practice set 1. (PDF)
- Practice set 2. (PDF)
- Practice set 3. (PDF)
Lecture Notes
- Curves defined by parametric equations. (PDF)
- Calculus with parametric curves. (PDF)
- Polar coordinates. (PDF)
- Areas and lengths in polar. (PDF)
- Conic sections. (PDF)
- Three dimensional coordinate systems. (PDF)
- Vectors (PDF)
- The dot product. (PDF)
- The cross product. (PDF)
- Equations of lines and planes. (PDF)
- Vector functions and space curves. (PDF)
- Derivative and integral of vector functions. (PDF)
- Arc length. (PDF)
- Motion in space. (PDF)
- Functions of several variables. (PDF)
- Limits and continuity. (PDF)
- Partial derivatives. (PDF)
- Tangent plane and linear approximations. (PDF)
- The chain rule. (PDF)
- Directional derivatives and the gradient vector. (PDF)
- Maximum and minimum values. (PDF)
- Lagrange multipliers. (PDF)
- Double integrals. (PDF)
- Double integrals over general regions. (PDF)
- Double integrals in polar coordinates. (PDF)
- Applications of double integrals.(PDF)
- Triple integrals. (PDF)
- Triple integrals in cylindrical coordinates. (PDF)
- Triple integrals in spherical coordinates. (PDF)
- Change of variables in multiple integrals. (PDF)
- Vector fields. (PDF)
- Line integrals. (PDF)
- The fundamental theorem of line integrals. (PDF)
- Green's theorem. (PDF)
Contact
Brian VeitchInstructor
Director of Mathematics Assistance Center
815-753-6755
bveitch@niu.edu
