MAT-252/253 Calculus And Analytic Geometry I/II
MAT-252 Calculus And Analytic Geometry I
The MAT-252 Calculus And Analytic Geometry I course provides a rigorous treatment of the concepts and methods of elementary calculus and its application to real-world problems. It includes the multiple topics like a brief review of linear, exponential, logarithmic, trigonometric, and inverse functions; differentiation rules including derivatives of polynomials, exponentials, trigonometric, and logarithmic functions; product and quotient rules, the chain rule, and implicit differentiation; understanding and calculating limits, continuity, and derivatives as rates of change; related rates, curve sketching, maximum and minimum problems, mean value theorem, linear approximation, indeterminate forms, and L'Hospital's rule; and applied optimization problems, antiderivatives, and approximating areas under the curve. The prerequisites of this course are: Grade of C or better in MAT-250 or MAT-261.
MAT-253 Calculus And Analytic Geometry II
The course MAT-253 Calculus And Analytic Geometry II mainly provides a thorough treatment of the concepts, methods, and applications of integral calculus and it is known as the second course in a three-course sequence. It consists of various topics such as definite integrals, fundamental theorem of calculus, and integration rules; arc length, solids of revolution, and physical applications; techniques of integration including improper integrals and an introduction to differential equations; polar coordinates, parametric equations, infinite sequences, and series; power series and conic sections; and vector arithmetic, dot product, and projections. The prerequisites of this course are: Grade of C or better in MAT-252.
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