MATH 1910 Calculus I

4 (4 lecture hours) Credit Hour(s)

General Education Learning Outcomes (TBR Approved)

• Apply mathematical principles or basic statistical reasoning to solve conceptual or applied problems and determine if solutions are reasonable.  
• Communicate mathematical concepts using appropriate terminology and symbolic language.  
• Analyze the behavior of, and solve, real-world problems relating mathematics to other disciplines.  
• Use appropriate technology to analyze data and graphs, as well as model real-world behavior. 

• Describe the concept of limit and continuity, both intuitively and formally:
  1. Demonstrate the ability to work with various types of limits to define the slope of a curve at a point.
  2. Determine whether a function is continuous at a given point.
• Calculate the derivatives of functions, including the trigonometric functions, and differentiate implicitly.
• Use derivatives to solve various problems involving rates.
• Use derivatives to find extreme values of functions, to predict and analyze the shapes of graphs, to find replacements for complicated formulas, and to find the zeros of functions numerically.
• Find limits using L’Hôpital’s Rule.
• Evaluate both indefinite integrals and definite integrals, using some basic rules and the substitution method.
• Apply the Fundamental Theorem of Integral Calculus.