MTH 173 Calculus With Analytic Geometry I Text Calculus Early Transcendentals 1st ed Briggs and Cochran Required sections Chapter Section Topic 1 1 1 1 1 2 3 4 Review of Functions Representing Functions Inverse Exponential and Logarithmic Functions Trigonometric Functions and Inverses 2 2 2 2 2 2 2 1 2 3 4 5 6 7 The Idea of Limits Definitions of Limits Techniques for Computing Limits Infinite Limits Limits at Infinity Continuity Precise Definition of a Limit 3 3 3 3 3 3 3 3 1 2 3 4 5 6 7 8 3 3 9 10 Introducing the Derivative Rules of Differentiation The Product and Quotient rules Derivatives of Trigonometric Functions Derivatives as Rates of Change The Chain Rule Implicit Differentiation Derivatives of Logarithmic and Exponential Functions Derivatives of Inverse Trigonometric Functions Related Rates 4 4 4 4 4 4 4 1 2 3 4 5 6 8 Maxima and Minima What Derivatives Tell Us Graphing Functions Optimizations Linear Approximations and Differentials The Mean Value Theorem Antiderivatives Chapter Section Topic 5 5 5 5 5 1 2 3 4 5 Approximating Areas under Curves Definite Integrals Fundamental Theorem of Calculus Working with Integrals Substitution Rule 6 6 1 2 Velocity and Net Change Regions between Curves 7 6 Numerical Integration