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Description

Fall 2017

Thomas Weber

MATH 1431

These are notes for the first week of class

Section 1.2 The idea of limits Section 1.3 Limits done right Limits at infinity Examples Limit laws to evaluate a limit One sided limits Some basic derivatives 1.4 Continuity

These notes cover continuity and IVT

This study guide covers continuity and derivatives

Derivatives

Calculus 1 Chapter 1&2 exam notes Am intuitive intro to limits Definition of limit and arithmetic rules Continuity Discontinuity Jump Infinite Piecewise functions The intermediate value theorem Limits of trig functions and the pinching theory The definition of the derivative Derivative of polynomials and trig functions differentiation rules Chain rule Product rule Quotient

Chapter 3 Applications of the derivatives 3.1 Related Rates Rates of change Free fall of an object 3.2 Mean Value Theorem (MVT) Rolle's Theorem 3.3 Increasing and decreasing functions critical numbers

Math 1431 Calculus 1 week 3 notes Applications of derivatives Section 3.4: Extreme Values Section 3.5: Concavity and Points of Inflection Section 3.6: Curve Sketching

Math 1431 Calculus 1 exam 3 study guide Chapter 3 Applications of the Derivative Section 3.1: Related Rates Section 3.2: The Mean-Value Theorem Section 3.3: Intervals of Increase and Decrease Section 3.4: Extreme Values Section 3.5: Concavity and Points of Inflection Section 3.6: Curve Sketching

related rates, rolle's theorem, and MVT

Chapter 4 4.1 inverses 4.2 the exponential function

Differentials Aprroximation

Definite integral

Final exam These are formulas that you need to memorize and if you need it then you’ll pass your final

Calculus 1 Week 8 Notes Indefinite integrals