# MA 238 Readiness

Readiness materials

# Module C

• Describe Newton’s second law in terms of differential equations.
• Find all roots of a quadratic polynomial.
• Use Euler’s theorem to relate $$\sin(t)$$, $$\cos(t)$$, and $$e^t$$ and to simplify complex exponentials.
• Use substitution and integration by parts to compute indefinite integrals.
• Solve systems of two linear equations in two variables.

# Module F

• Determine the intervals on which a polynomial is positive, negative, or zero.
• Use substitution and integration by parts to compute indefinite integrals.
• Determine when a vector field is conservative.
• Find the potential function of a conservative vector field.
• Use variation of parameters to solve non-homogeneous first-order ODEs.
• Standard C2

# Module S

• Solve systems of two equations with functional coefficients in two variables.
• Solve second order constant coefficient equations, including non-homogeneous ones.
• Standard C6
• Model basic mass-spring systems.
• Standard C7m
• Find and classify the equillibria of autonomous ODES.
• Standard F4

# Module N

• Compute partial derivatives
• Determine where multivariate functions are continuous
• Use a linear approximation to estimate the value of a function