Handouts I specifically created for Math 2177:
Reference sheet for section 1.8 (Local and Absolute Extrema, review of open and closed sets)
Reference sheet for sections 1.9 and 2.1 (Lagrange multipliers and double integrals over rectangles)
Reference sheet for sections 2.2 and 2.3 (Double Integrals over General Regions and Polar Coordinates)
Reference sheet for sections 2.4 and 2.5 (Triple Integrals, Cylindrical Coordinates, and Spherical Coordinates)
Additional solutions from 3.2. I intended to cover these in recitation, but time didn’t permit in 2016.
Handout on circulation and flux. This includes solutions to problems 48 and 50 from section 3.2.
Reference sheet for sections 3.3, 4.1, and 4.2 (Conservative Vector Fields, Fundamental Theorem of Calculus for Line Integrals, Systems of Linear Equations, Matrices, and Row Reduction)
Reference sheet for 4.3, 4.4, and 4.5 (Consistent Systems of Linear Equations, Applications to Networks and Circuits, and Matrix Operations)
Reference sheet for 4.6 and 4.7 (Matrix Operations, Linear Independence, and Nonsingular Matrices)
Reference sheet for 4.8 (Polynomial Interpolation, Numerical Integration, Numerical Differentiation)
Reference sheet for 5.1 and Appendix C (Overview of Second Order Linear ODE’s and Complex Numbers)
Reference sheet for 5.2 and 5.3 (Finding Solutions to Homogeneous and Nonhomogeneous Second Order Linear ODE’s)
Reference sheet for 5.4 (Oscillator and Circuit Problems)
Reference sheet for 6.1 and 6.2 (The Heat and Wave Equations and Separation of Variables)
Reference sheet for 6.3(Fourier Series)
Reference sheet for 6.4 (Periodic extensions, Fourier sine and cosine series)
Reference sheet for 6.5 and 6.6 (More general heat and wave equation scenarios)
Chapter 6 Summary Sheet (covers most PDE solutions. You are also responsible for the 