MATH 275 - ORDINARY DIFFERENTIAL EQUATIONS

    Recent Professors
    Raymond Badalian, Roy Erickson, Ha Nguyen, Anahit Asadyan
    Recent Semesters
    Winter 2027, Fall 2026, Summer 2026
    Class Size
    Not published
    Difficulty
    7.2Heavyout of 10
    Credits
    3
    Prerequisite
    MATH262
    Winter 2027 Sections
    View Winter 2027 sections of MATH 275
    Transfers To
    UC and CSUCal-GETC Area 2 · IGETC Area 2A · CSU GE Area B4
    Description
    Students learn to categorize different types of differential equations. Students learn to use techniques such as separation of variables, exact differentials, homogeneity, and change-of-variable (substitution) to solve first-order equations as well as first-order initial value problems (IVPs). Students apply this knowledge to solve real-world problems such as population growth and mixture problems. Students learn to solve higher-order linear differential equations using constant coefficient technique, the method of undetermined coefficients and variation of parameters. Students apply this knowledge to physics applications such as simple harmonic motion. Students solve equations of higher-order with variable coefficients applying specific techniques based on the type of the given equations. Topics include: Cauchy-Euler equations, power series solutions, Bessel's equations, and Legendre's equation. Students learn the Laplace transform and its properties and apply this knowledge to solving various differential equations as well as IVPs. Students use techniques for solving systems of linear differential equations.
    Usually Held
    Mon Tue Wed Thu 4:00pm–6:30pm, Mon Tue Wed Thu 9:00am–11:25am, Mon Tue Wed Thu 9:00am–11:30am, Mon Wed 11:10am–12:35pm