Mathematics For SE I

Course #SE1001

Est.imated Completion Time: 3 months

Overview

This course provides an introduction to selected pre- and post-calculus topics. Covered will be complex numbers, matrix algebra, and differential equations.

Prerequisites

  • Enrollment in the SE
  • SEA curriculum.

Learning Outcomes

At the end of this course, the student shall demonstrate the ability to:

  • Functions
    • Recognize whether or not a curve represents the graph of a function
    • Evaluate: linear, quadratic, polynomial exponential, natural log, and trigonometric functions
  • Derivatives
    • Understand the concept of the derivative
    • Know and apply the rules for taking derivatives of the functions listed in a (2) above
    • Apply the derivative rules for adding, subtracting and multiplying by a constant
    • Apply the product rule and quotient rule
    • Apply the power rule
    • Be able to take the second derivative
    • Use the first and second derivative tests to find the max/min of a function
    • Calculate and interpret first and second partial derivatives
  • Integrals
    • Understand the concept of the integral
    • Apply the integral rules for adding, subtracting, and multiplying by a constant
    • Apply integration by substitution
    • Apply integration by parts
    • Evaluate double integrals and be able to change the order of integration
    • Use double integrals to solve applied problems
  • Vector Algebra
    • Perform algebraic operations on vectors addition, subtraction, multiplication, and multiplication by a scalar
    • Understand and be able to apply both the Dot Product and Cross Product
    • Be able to compute Directional Derivatives and Gradients
    • Be able to perform vector differentiation and compute divergence and curl
Offerings database access
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Application Deadlines

  •  08 Jul 2024

    Fall Quarter applications due

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