a David Kedrowski 14 éve
297
MAT.126 Overview
This course provides a comprehensive introduction to the foundational concepts of calculus, emphasizing the preparation needed for higher-level calculus courses. It begins with an exploration of functions and their graphical representations, including linear models and rates of change.
Megnyitás
MAT.126
Overview Applications of Differentiation Optimization Problems A Summary of Curve Sketching Limits at Infinity Concavity and the Second Derivative Test Increasing and Decreasing Functions and the First Derivative Test Rolle's Theorem and the Mean Value Theorem Extrema on an Interval Integration Integration by Substitution The Fundamental Theorem of Calculus Riemann Sums and Definite Integrals Area Antiderivatives and Indefinite Integration Logarithmic, Exponential, and Other Transcendental Functions Inverse Trigonometric Functions: Integration Inverse Trigonometric Functions: Differentiation Bases Other Than e and Applications Exponential Functions: Differentiation and Integration The Natural Logarithmic Function: Integration The Natural Logarithmic Function: Differentiation Differential Equations Differential Equations: Growth and Decay Slope Fields and Euler's Method Differentiation Related Rates Implicit Differentiation The Chain Rule Product and Quotient Rules and Higher-Order Derivatives Basic Differentiation Rules and Rates of Change The Derivative and the Tangent Line Problem Limits and Their Properties Infinite Limits Continuity and One-Sided Limits Evaluating Limits Analytically Finding Limits Graphically and Numerically A Preview of Calculus Preparation for Calculus Fitting Models to Data Functions and Their Graphs Linear Models and Rates of Change Graphs and Models
