SE1002: Mathematics For SE II  NPS Online
Overview
This course provides an introduction to selected pre and postcalculus topics. Covered will be complex numbers, matrix algebra, and differential equations.
Prerequisites
 SE1001
Learning Outcomes
At the end of this course, the student shall demonstrate the ability to: Complex Numbers
 Understand the notion of a complex number.
 Apply the algebra of complex numbers (add, subtract, multiply, and divide).
 Understand the geometry of complex numbers.
 Understand and use the complex conjugate.
 Understand and compute the magnitude of a complex number.
 Use the trigonometric form of complex numbers.
 Apply De Moivre's Theorem.
 Apply Euler's Formula.
 Sequences and Series
 Understand the notion of a sequence.
 Understand the limiting behavior of sequences.
 Given a sequence, determine whether or not it converges, and if it does, find the limit.
 Understand the concept and notation of a series
 Be able to recognize a geometric, p, and harmonic series.
 Determine the convergence of a series by appropriate tests, including the integral, comparison, alternating series , ratio, and root tests.
 Find the interval of convergence for a power series.
 Apply Taylor's Theorem to find polynomial approximations to given functions and estimate their accuracy.
 Matrix Algebra
 Write a system of linear equations in matrix form and describe the nature of the solutions.
 Perform algebraic operations on matrices: addition, subtraction, multiplication, and multiplication by a constant.
 Compute the determinant of a square matrix using cofactor expansion.
 Describe the basic properties of determinants.
 Use Cramer's rule to solve small systems (not larger than 3x3) of linear equations.
 Ordinary Linear Differential Equations {Up to Second Order)
 Classify a given DE as ordinary or partial; determine its order; and whether it's linear or not.
 Verify whether a given function is a solution of a DE.
 Recognize and solve a first order linear ODE. Identify the homogeneous and nonhomogenous term in the solution obtained.
 Recognize and solve a separable first order ODE.
 Formulate and solve appropriate applied problems involving elementary mechanics.
 Find solutions to a second order ODE with constant coefficients.
 Solve appropriate applied problems for mechanical or electrical oscillations.
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Application Deadlines

08 Jul 2024
Fall Quarter applications due
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