CALCULUS I (4). Pr., MATH1150 or MATH1130. Limits, the derivative of algebraic, trigonometric, exponential, and logarithmic functions. Applications of the derivative, antiderivatives, the definite integral and applications to area problems, the fundamental theorem of calculus.

Credit for this course precludes credit for MATH1680. Students may receive credit for only one of MATH1610, MATH1617, MATH1710.

To develop student mathematical and analytic skills. To present the fundamental concepts of calculus and to develop student understanding and skills necessary for further courses in calculus and for elementary applications in a variety of fields.

The Tangent and Velocity Problems, Limit of a Function, Calculating Limits using the Limit Laws, Continuity.

Derivatives, Differentiation Formulas, Rates of Change in the Natural & Social Sciences, Derivatives of the Trigonometric Functions, The Chain Rule, Implicit Differentiation, Higher Derivatives, Related Rates, Differentials.

Exponential Functions and Their Derivatives, Inverse Functions, Logarithmic Functions, Derivatives of Logarithmic Functions, Exponential Growth and Decay, Inverse Trigonometric Functions, Indeterminate Forms and L'Hopital's Rule.

Maxima, Minima, and the Mean Value Theorem, The Derivatives and Graphing, Curve Sketching, Applied Maximum and Minimum Problems, Antiderivatives.

Sigma Notation, Area, The Definite Integral, The Fundamental Theorem of Calculus, The Substitution Rule, The Logarithm Defined as an Integral.