Lecture Notes
Area, volume, arc length, density, and center of mass
Sections 8.1 through 8.4 of the Calculus book
- January 14
- January 16
- January 20 Notes by C. Berry, E. Dunn, and J. Regan
- January 21
- January 23
- Slides used in class
Improper integrals
Sections 7.7 & 7.8 of the Calculus book
- January 26
- January 27 Notes by E. Cohen, S. Magill, and A. Tseng
- January 28
- January 30
- February 2
- February 4
- February 9
- Slides used in class
Sequences and series
Sections 9.1 through 9.5 of the Calculus book
- February 9
- February 10 Handout for problems session
- February 11
- February 13
- February 16
- February 17 Notes by S. Conatser and J. Merritt on the logistic map
- February 17 Notes by L. Castro and A. Yang on the Fibonacci sequence
- February 18
- February 20
- February 23
- February 24 Handout for problems session
- Slides used in class
Series expansions and linear combinations
Sections 10.1 through 10.5 of the Calculus book
Sections 1.4 & 3.5 of the Differential Equations book
- February 27
- March 2
- March 3 Lecture notes on Fourier series
- March 4
- March 9
- March 10 Notes by G. Vanhoy on linear independence
- March 11
- March 13
- March 23
- Slides used in class
Linear differential equations
OVERVIEW: Pages 235-238 of the Differential Equations book
SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS
Sections 6.3, 7.1, 8.2, 8.3, 8.4 & 7.2 of the Differential Equations book
- March 25
- March 27
- March 30
- March 31 Notes by R. Crompton and C. Dumas on complex numbers
- April 1
- April 3
- April 6
- April 7 Notes by F. Ventura on spring-mass systems
- April 8
- April 10
- April 13
- April 15
- Slides used in class
OTHER TYPES OF LINEAR EQUATIONS
Sections 8.5, 8.7, 8.8 & 8.2 of the Differential Equations book
Linear systems of differential equations
Sections 6.1, 6.2, 6.5, 9.1, 9.2 & 9.5 of the Differential Equations book
- April 21 Handout for problems session
- April 21 Notes by A. Clutter, N. Leo, and A. Najam
- April 24
- April 27
- April 28 Notes by A. Maciosek on the nonlinear pendulum
- April 29
- May 1
- May 4
- Slides used in class