Office Hours: Thursday 12:30 – 1:30pm in SH 6432u
Math Lab Hours: Wednesdays 12:00 – 2:00pm in SH 1607
You may also email me at vtkala@math.ucsb.edu for a short appointment.
Free tutoring is available at the Math Lab in SH 1607. They are open M-F 12-5pm. Go early and often to get free help on your homework!
March 13:
- Solutions to Final Practice Questions
- #15 is a system with complex eigenvalues, the solution here shows in detail what happens if you expand BOTH v_1 e^{\lambda t} and v_2^{\lambda t}
March 7:
- Final Review
- Typo in example, eigenvalue is -1 (not 1)
- Final Practice Questions
- Typo on #3, dy/dx should be replaced with dx
- Typo on #7(a), should be y” – 2y’ + y = 0, not y” – 2y’ + y’ = 0
- Typo on #8(d), replace x’s with t’s
March 5:
- Quiz 8 (Homogeneous system of linear equations with constant coefficients)
- Quiz 7 (Variation of Parameters)
- Quiz 6 (Undetermined Coefficients, Variation of Parameters)
- Quiz 5 (Homogeneous linear equations with constant coefficients)
March 3:
- Factoring Cubic Polynomials
- Typo in the second equation, should be x^2 + b_2 x + b_3, not x^2 + b_2 c + b_3
- Review of long division of polynomials:
March 1:
February 2:
- Solutions to Midterm Practice Questions
- Corrections to solutions:
- On #6, when plugging in the initial value we should instead have elne – e = C, so C = 0
- On #8b, we should have negatives exponents since r = -1
- On #8c, replace y with u, x with t
- On #8d, replace y with r, x with s
- On #9b, there should be a negative term in front of the integral. The Wronskian should instead by W = c exp(x-2lnx) = ce^x/x^2
- Corrections to solutions:
January 31:
- Midterm Review (updated with notes on Existence and Uniqueness Theorem, the Wronskian, Reduction of Order)
- Midterm Practice Questions
- Solutions available at the link above
- Quiz 4 (Homogeneous linear equations with constant coefficients)
January 21:
- Quiz 3 (Exact Equations)
- Quiz 2 (Separable and First Order Linear Equations)
- Solutions
- Correction to solutions:
- On #2, there should be a factor of 1/2 in front of the natural log term
- Quiz 1 (Review Quiz)
- Solutions
- Correction to solutions:
- On #2b, there should be a negative sign (-) in front of the sine term
Victoria Kala 