Since its beginnings, calculus has demonstrated itself to be one of humankind's greatest intellectual achievements. This versatile subject has proven useful in solving problems ranging from physics and astronomy to biology and social science. Through a conceptual and theoretical framework this course covers topics in differential calculus including limits, derivatives, derivatives of transcendental functions, applications of differentiation, L'Hopital's rule, implicit differentiation, and related rates.
- Successfully apply the methods and concepts of differential calculus to mathematically model and solve optimization problems of current interest in the sciences, economics, and engineering.
- Understand the concepts and methods of differential calculus.
- Understand, and be able to calculate, derivatives of polynomial, rational, trigonometric, exponential and logarithmic functions.
- Understand, and be able to utilize, differentiation rules, including the product, quotient, and Chain Rule.