Recent SemestersFall 2026, Fall 2025Class Size33 studentsCredits4PrerequisiteMATH 1500 - Calculus and Analytic Geometry II Minimum Grade: C Condition: Healthy/Safety: Additional: Outcomes Solve applications problems involving integration and utilize integration techniques including integration by substitution, parts, partial fractions, trigonometric, tables, and computer algebra systems, and apply these techniques to the evaluation of improper integrals and the determination of their convergence or divergence properties. Analyze and solve single linear ordinary differential equations problems involving separation of variables and solve modeling problems involving these differential equations. Identify and analyze infinite sequences of real numbers and series including the geometric series, harmonic series, and telescoping sums, and determine their convergence or divergence properties using different convergence tests, including the Integral Test, the Ratio Test, the Root Test, the Comparison Test, the Limit Comparison Test, the Alternating Series Test, and the Test for Divergence. Determine the radius of convergence of a power series and identify the Taylor series of a given function and use it in consultation with Taylor's Theorem to approximate values of functions. Transfers ToUC and CSUCal-GETC Area 2 · IGETC Area 2A · CSU GE Area B4DescriptionThis course is the third in a sequence of three courses in Calculus and Analytic Geometry. Topics include Vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green's Theorem, Stokes' Theorem, divergence theorem. C-ID MATH 230.