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A first course in calculus with a focus on differential calculus. Topics include the study of limits, continuity, rates of change, the definition of the derivative, indeterminate forms, and techniques of differentiation of linear, polynomial, exponential, logarithmic, rational, and trigonometric functions. The course will include applications of the derivative to solve applied problems. Characteristics of functions such as intervals of increase or decrease, concavity, extreme, and end behavior will be studied as a means to describe, reason, interpret, and analyze relationships. The course concludes with an introduction of antiderivatives. Use of an approved graphing calculator is required throughout the course.
This is the second course in a three semester calculus sequence. MAT 244 focuses on two related topics: methods and applications of integration, and infinite series and representation of functions by power series. Topics in integration include Riemann sums, definite and indefinite integrals, the Fundamental Theorem of Calculus, applications to geometry (area, volume, arc length) and to real-life problems, and techniques or integration. The course concludes with the study of sequences and series, convergence tests, and power series representation of functions (Taylor series). Use of an approved graphing calculator is required throughout the course.