Curriculum and Leadership AlignmentThe process of curriculum development, revision, design, and implementation is the foundation of schools; it is the “what” for teachers and students. To be a competent leader, it is essential to understand the process for curriculum development. Chapter 1 in your Mooney and Mausbach text (2008) provides a scaffolding for understanding of developing curriculum leadership and design. Chapters 2, 3, and 4 from Lopez’ No Excuses Leadership: Nine Bold Choices Exceptional Leaders Make (2015) discuss the first three qualities of a servant leader; being present, communicating with candor, and cracking the code of the naysayer.Initial Post:Discuss one or two challenges and benefits for teaching and learning associated with the curriculum design and alignment process.Discuss any of the three qualities from Lopez’ Chapters 2, 3, or 4 that you have practiced or have experienced from a leader and how it paid off or otherwise proved beneficial to yourself or others.Evaluate a servant leadership principle you would particularly like to develop more in yourself. Describe how strengthening a particular trait from the principle might impact your own professional practice as well as impact others, especially learners.
Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′ − 4y′ + 3y = x ; use y1 = e3x vi. y′′ + 5y′ + 6y = e2xcos(x) vii. y′′ + y = sec(x) tan(x)
Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′