Overview

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