After a Magnet student completes either Magnet Precalculus or Magnet Functions, he or she moves onto the year-long Magnet Analysis I class. Analysis I is similar as an A.P. calculus course. Taught by Mr. Walstein, Mr. Stein, and Ms. Dyas, Analysis I may be begun either semester, depending on whether the enrolled student took the three semester Precalculus course or the two semester Functions course previously.

While there may be some variety from year to year, generally the class begins with a discussion of limits and the continuity of functions. The limit of a function is defined, and the limit theorems are introduced, along with one-sided limits, and infinite limits. The Intermediate Value Theorem and Extreme Value Theorem are presented.

The key calculus concept of a function's derivative is presented, along with the rules for differentiation of all elementary functions. The chain rule, partial derivatives, implicit differentiation, the power rule, and high order derivatives are discussed.

Applications of the derivative are then discussed. Topics include tangents and normals, Rolle's Theorem and the Mean Value Theorem, extrema and concavity, applications of extreme values, related rates, L'Hopital's rule, and differentials and Newton's method for roots.

Another fundamental concept of calculus, the integral, is introduced. The class learns about antiderivatives and area, Riemann sums, definite integrals, the Mean Value Theorem, the Fundamental Theorem of Integral Calculus, indefinite integrals and integration, the Trapezoidal Rule, and Simpson's Rule.

Applications of the integral topics include discussions regarding area, velocity and acceleration, volumes, lengths of curves, surface areas of solids of revolution, the average value of a function, center of mass, the Theorems of Pappus, and work and hydrostatic force.

Techniques of integration are another important set of topics for the course. These include Geometric Probability, normal and exponential distributions, trigonometric integrals, trigonometric substitutions, partial fractions, integration by parts, improper integrals, and limits with exponential indeterminate form.

The class also discusses infinite series. This topic is started by covering sequences and convergence, infinite series, tests for convergence, absolute convergence, and radius and interval of convergence. The class also learns about power series, Taylor series, and LaGrange error.

Another topic includes differential equations. Sub-topics include separable first-order differential equations, linear first-order differential equations, linear approximations using Euler's Method, Slope fields, growth and decay problems, and logistic differential equations in modeling.

Finally, polar coordinates are discussed, including areas in polar coordinates, lengths of polar curves, and areas of surfaces of revolution.