Introduction to Calculus Course Objectives

1. Compute limits, evaluate continuity, and use the definition of the derivative.
2. Compute derivatives using the power rule, product rule, quotient rule, chain rule, and implicitly. 
3. Sketch the graph of curves using extrema, the first derivative test and second derivative test. 
4. Understand business applications such as optimization problems (with and without constraints), marginal analysis, consumer and producer surplus, present values, related rates and others. 
5. Find derivatives for and integrate exponential and logarithmic functions. 
6. Evaluate integrals by substitution, general power rule, by parts, partial fractions, or improper integrals.
7. Find area using the Fundamental Theorem of Calculus. 
8. Find partial derivatives and extrema for functions of two or more variables.
   
   

Description

Introduces the student to differential and integral calculus with applications to a variety of fields, including business, economics, and the life, social, and physical sciences. Develops and applies the concepts of calculus to functions of one variable. Studies differential calculus involving functions of several variables. Emphasizes understanding and communication of mathematical ideas, logical reasoning, and problem-solving.

Additional Information

                  Sample 1110 Syllabus (PDF format, word format)

                  Sample 1110 Homework Set (PDF format, word format)

Course Coordinator for Faculty Resources

                  Contact Dr. Christine Merrin, merrinch@uvu.edu