MATH 1910 Calculus I Syllabus

Course Description, Textbook, Topics

Course Description:
This is a 4-credit hour course.  Topics functions, graphs, limits, derivatives with applications, and the definite integral with applications.  Derivative and integral of trigonometric, logarithmic, and exponentials are also included.

Required Textbook:
 Calculus: Early Transcendentals by Stewart, Clegg, and Watson, 9th edition

Chapter 2: Limits and Derivatives

Section 2.2: The Limit of a Function
Section 2.3: Calculating Limits Using the Limit Laws
Section 2.5: Continuity
Section 2.6: Limits at Infinity; Horizontal Asymptotes
Section 2.7: Derivatives and Rates of Change
Section 2.8: The Derivative as a Function

Chapter 3: Differentiation Rules

Section 3.1: Derivatives of Polynomials and Exponential Functions
Section 3.2: The Product and Quotient Rules
Section 3.3: Derivatives of Trigonometric Functions
Section 3.4: The Chain Rule
Section 3.5: Implicit Differentiation
Seciton 3.6: Derivatives of Logarithmic and Inverse Trigonometric Functions
Section 3.9: Related Rates
Section 3.11: Hyperbolic Functions

Chapter 4: Applications of Differentiation

Section 4.1: Maximum and Minimum Values
Section 4.2: The Mean Value Theorem
Section 4.3: What Derivatives Tell Us About the Shape of a Graph
Section 4.4: Indeterminate Forms and l’Hôpital’s Rule
Section 4.7: Optimization Problems
Section 4.9: Antiderivatives

Chapter 5: Integrals

Section 5.1: The Area and Distance Problem
Section 5.2: The Definite Integral
Section 5.3: The Fundamental Theorem of Calculus
Section 5.4: Indefinite Integrals and the Net Change Theorem
Section 5.5: The Substitution Rule