MATH1081 — Single Variable Calculus I
MATH 1081 - Single Variable Calculus I MATH 1081 - Single Variable Calculus I Hours/Week: Lecture 5 Lab 0 Course Description: This is the first course in the two-semester sequence of Single Variable Calculus. Topics include functions of a single variable, limits and continuity, differentiation of algebraic and transcendental functions, the chain rule, anti-differentiation, Riemann sums, indefinite and definite integrals, and the Fundamental Theorem of Calculus, with associated applications in each area. A graphing calculator is required. Instruction will be provided in the use of the TI-84 calculator. This course is intended for students majoring in chemistry, engineering, physics, science, mathematics, mathematics education, and computer science. MnTC Goals 4 Mathematics/Logical Reasoning Major Content 1. Limits Intuitive understanding Limit theorems Calculating limits Graphically Numerically Symbollically Infinite limits and limits at infinity 2. Continuity Intuitive understanding Definition of continuity at a point Continuity on an interval Discontinuities 3. The Derivative Intuitive or geometric interpretation Numerical derivatives Definition of the derivative Differentiation formulas Composite functions and the chain rule Higher order derivatives Implicit differentiation Logarithmic differentiation Derivatives of Parametric equations Derivatives of hyperbolic functions 4. Graphing Functions Increasing and decreasing functions Extreme values End behavior and asymptotic be
Prerequisites: MATH1062