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math270 Syllabus

Math 270: Calculus I

Text: Calculus Early Transcendentals, 11th edition, Anton, Bivens, and Davis, Wiley, 2015

Prerequisites: Minimum ACT math score of 28, math 109 and math 110 with a grade of C or better, math 143 with a grade of C or better, or placement by the Advance Credit Exam.

A TI-83 or TI-84 Graphing Calculator is required.

Sections and Topics

  • Basic Review
  • 1.1 Limits
  • 1.2 Computing Limits
  • 1.3 Limits at Infinity; End Behavior of a Function
  • 1.5 Continuity
  • 1.6 Continuity of Trigonometric Functions
  • 1.7 Inverse Trigonometric Functions
  • 1.8 Exponential and Logarithmic Functions
  • 2.1 Tangent Lines and Rates of Change
  • 2.2 The Derivative Function
  • 2.3 Introduction to Techniques of Differentiation
  • 2.4 The Product and Quotient Rules
  • 2.5 Derivatives of Trigonometric Functions
  • 2.6 The Chain Rule
  • 3.1 Implicit Differentiation
  • 3.2 Derivatives of Logarithmic Functions
  • 3.3 Derivatives of Exponential and Inverse Trigonometric Functions
  • 3.4 Related Rates
  • 3.5 Local Linear Approximation; Differentials
  • 3.6 L'Hopital's Rule; Indeterminate Forms
  • 4.1 Analysis of Functions I: Increase, Decrease, and Concavity
  • 4.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials
  • 4.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents
  • 4.4 Absolute Maxima and Minima
  • 4.5 Applied Maximum and Minimum Problems
  • 4.6 Rectilinear Motion
  • 4.8 Rolle's Theorem; Mean-Value Theorem
  • 5.1 An Overview of the Area Problem
  • 5.2 The Indefinite Integral
  • 5.3 Integration by Substitution
  • 5.4 The Definition of Area as a Limit
  • 5.5 The Definite Integral
  • 5.6 The Fundamental Theorem of Calculus (Part I only)

Last updated 18 August 2016.