Integral Calculus and Ordinary Differential Equations for EE
Course topics
- The Riemann integral: Riemann sums, the fundamental theorem of calculus and the indefinite integral. Methods for computing integrals: integration by parts, substitution, partial fractions. Improper integrals and application to series. 2. Uniform and pointwise convergence. Cauchy criterion and the Weierstrass M-test. Power series. Taylor series. 3. First order ODE’s: initial value problem, local uniqueness and existence theorem. Explicit solutions: linear, separable and homogeneous equations, Bernoulli equations. 4. Systems of ODE’s. Uniqueness and existence (without proof). Homogeneous systems of linear ODE’s with constant coefficients. 5. Higher order ODE’s: uniqueness and existence theorem (without proof), basic theory. The method of undetermined coefficients for inhomogeneous second order linear equations with constant coefficients. The harmonic oscillator and/or RLC circuits. If time permits: variation of parameters, Wronskian theory.
Course Information
- University course catalogue:
- 201.1.9681
- Level:
- Service
- Credits:
- 5.0
Recently Given
- 2024–25–A
- 2023–24–B
- 2022–23–B (Dr. Dennis Gulko)
- Summer 2022 (Dr. Natalia Gulko)
- 2021–22–B (Dr. Daniel Markiewicz)
- Summer 2021 (Dr. Dennis Gulko)
- 2020–21–B (Dr. Daniel Markiewicz)
- 2019–20–B
- 2018–19–B (Dr. Daniel Markiewicz)
- 2017–18–B (Dr. Daniel Markiewicz)
Departments
- Physics
- Faculty - Engineering
- Faculty - Natural sciences
- Biomedical engineering
- Electrical engineering