MATH1070 — Survey of Calculus
MATH 1070 - Survey of Calculus MATH 1070 - Survey of Calculus Hours/Week: Lecture 4 Lab 0 Course Description: This course is designed for those who need only an introduction to calculus. Topics include limits and continuity, derivatives, differentials, indefinite integrals, definite integrals, exponential and logarithmic functions, techniques of integration, applications of differential and integral calculus, integral tables, functions of two variables, partial derivatives, maxima and minima, and applied problems. A graphing calculator is required. Instruction will be provided in the use of the TI-83/TI-84 calculator. Students planning to take more than one semester of calculus should begin with MATH 1081 . . MnTC Goals 4 Mathematics/Logical Reasoning Restriction: Credit will not be granted for both MATH 1070 and MATH 1081 . Major Content Applications of the Derivative including Maxima and Minima Differentiation The derivative Derivatives of algebraic and composite functions Derivatives of higher order Exponential and Logarithmic Functions Differentiation of exponential and logarithmic functions Integration of exponential and logarithmic functions Functions of Two Variables Partial derivatives Relative extrema Applied problems on maxima and minima Functions, Graphs and Limits Integration The definite integral The fundamental theorem of integral calculus Evaluating integrals Applications Techniques of Integration Substitution–change of variable Integration by parts Integration
Prerequisites: MATH1061, MATH1081